barbeque grill temperature distribution design improvement
TRANSCRIPT
Barbeque Grill Temperature Distribution Design Improvement
California Polytechnic State University
San Luis Obispo, CA 93407
Mechanical Engineering
Phone: 805-756-1334
Fax: 805-756-1137
me.calpoly.edu
June 6, 2013
Sponsor:
Bull Outdoor Products
2483 West Walnut Ave
Rialto, CA 92376
Faculty Advisor:
Dr. James LoCascio
Team Members:
Peter Gobell [email protected]
Connor McGill [email protected]
Thomas Willson [email protected]
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Barbeque Grill Temperature Distribution Design Improvement
by
Peter Gobell
Thomas Willson
Connor McGill
Project Advisor: Dr. LoCascio
Instructor’s Comments:
Instructor’s Grade: ______________
Date:__________________________
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Statement of Disclaimer
Since this project is a result of a class assignment, it has been graded and accepted as fulfillment
of the course requirements. Acceptance does not imply technical accuracy or reliability. Any use of
information in this report is done at the risk of the user. These risks may include catastrophic failure of
the device or infringement of patent or copyright laws. California Polytechnic State University at San Luis
Obispo and its staff cannot be held liable for any use or misuse of the project.
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Table of Contents
Abstract - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 5
Introduction - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 6
Background - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 6
Objectives - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 8
Management Plan- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 8
Test Design Development - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 9
Background Research- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 9
Concepts - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 11
Final Test Fixture Selection - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 14
Manufacturing- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 15
Fabrication - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 15
Detailed Analysis- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 18
Total System and Fuels - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 18
Grill Surface- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 20
Results and Discussion- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 22
Results - Unmodified System- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 23
Discussion - Unmodified System - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 25
Results – Briquettes - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 25
Discussion – Briquettes - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 27
Design - Modified Flame Tamers - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 27
Results – Modified Flame Tamers - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 27
Discussion – Modified Flame Tamers - - - - - - - - - - - - - - - - - - - - - - - - - - 34
Conclusion - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 34
References - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 35
Appendices - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 36
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Abstract
Team License to Grill set out to asses Bull Outdoor Products, Inc.’s barbeques and quantify the
apparent uneven temperature distribution or “hot spots” and “cold spots” across the grill. This testing
was accomplished with the design and fabrication of a test fixture allowing for accurate and repeatable
temperature collection across the barbeque. With results that matched the sponsor’s claims of hot and
cold spots, an engineering model was made using heat transfer and thermodynamic equations. Once the
model somewhat resembled the experimental data, it was used to suggest different modifications that
would allow for better temperature distribution. It was discovered that the flame tamers have a large
role in controlling heat going to the grill bars. This led to testing modified flame tamers to control
temperature differences across the barbeque. It was found that greater air flow through the top of the
flame tamers resulted in a more uniform temperature of the grill. The final iteration of the modified
flame tamers incorporated larger holes that allowed for more hot gas to heat the front of the grill giving
a slightly better front-to-back temperature distribution than before.
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Introduction
Barbequing has become a popular and social method of outdoor food preparation. Through this
popularity, barbeque grills have come to utilize various fueling methods – common fuels being charcoal,
natural gas, and propane. Additional advances have been made in recent years that allow users to
further control the cooking process. Other heating methods, such as infrared grilling, have been
integrated with these conventional fuels. Even with all of these advances, however, there exists room
for improvement, such as moderating the temperature distribution across the grilling surface.
For this project, Bull Outdoor Products has requested analysis of two of their high-end barbeque
grill systems (using both natural gas and propane fuel). The goal is to obtain a greater understanding of
their heat transfer characteristics affecting temperature distribution across the grill surface. Specific
optimizations include even temperature distribution across the grilling surface and what changes can be
made with minimal impact to manufacturing and overall cost.
Temperature distribution data for both Bull grills and competitor grills of similar sizes are not
currently available. Bull Outdoor Products does not have a way to measure the differential temperature
across the grill easily and accurately. As such, our initial goal was to develop a model with a set of
theoretical and empirical thermodynamic and heat transfer equations that predict temperatures on the
grill surface. We then constructed a test apparatus to collect temperature data to verify our model and
to confirm that any changes we made in the barbeque result in an even temperature distribution.
Background
Bull Outdoor Products manufactures a wide range of high-end grills that are offered in many
styles and sizes. Grilling has become a predominant method for Americans to prepare a variety of foods.
To produce foods that contain the perfect amount of juices, flavor and texture requires knowledge of
tools that are used to produce these foods, including the grill. The modern barbecue grill has made
advancements in recent years and has become a science itself.
As with any complex system, there must be an understanding of the general process and
components which make up the system as a whole and how they interact. Barbecue grilling is a process
that takes stored energy in the form of a combustible fuel and uses it to cook food such as meat. The
cooking process in its many forms results in the breakdown of fats, proteins and carbohydrates into a
product that is both flavorsome and safe to consume (“The Thermodynamics of cooking and how
different cooking methods work”).
There are three heat transfer modes that cook food through combustion of fossil fuels. The first
mode is convection, which involves heating up a working fluid surrounding the food – air in this case – to
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transfer energy to the food. The second is conduction and utilizes direct contact of an intermediate
material such as a grilling grate that is heated up and transfers energy to the food through this contact.
This can be seen with any food that has grill marks. The third is radiation, which transmits energy via
electromagnetic waves. Many grills now utilize direct radiation in the form of Infrared waves that are
produced from an infrared burner (IR). IR cooking adds intense heat to allow the user to produce chef-
quality sears.
There are many forms of stored energy, but the most economical and readily available fuels for
grilling are in the form of either compressed gas or compressed liquid. We will be focusing our studies
on propane and natural gas.
Propane is extremely common in the US and is a very effective fuel source. Propane has about
2.44 times the BTU output of natural gas (“Propane vs. Natural Gas”). Propane used for a barbeque is
purchased in pressurized tanks in liquid form by weight. There are 3 different grades of propane
available in the US. The grade quality is determined by the percentages of its composing elements.
Grade HD5 – the highest and most commonly used – is composed of at least 90% propane, no more
than 5% propylene and the remainder is a combination of butane, iso-butane and methane (“Propane
vs. Natural Gas”). The filler gases that are present other than propane have to fall within the prescribed
limits but may vary within them depending on the process used to refine and manufacture. The other
two grades are HD10 and commercial.
Natural gas, an alternative to propane, is measured differently than propane because it cannot
be easily compressed into a liquid, and is measured in cubic feet. As mentioned before natural gas does
not have the BTU per pound-mass output that propane has, but can be cheaper than propane
depending on the location. Natural gas composition is about 70-90% methane, 0-20% ethane or propane
or butane and 0-5% nitrogen or nitrogen sulfide (“Propane vs. Natural Gas”). There may be traces of rare
gas as well but these percentages can vary depending on the refining process. Two main drawbacks are
associated with the use of natural gas. The first requires a direct connection between the gas company
and your grilling unit. This requires professional installation to be done correctly and safely if none
currently exists. The second centers around the difference between the burner components and other
associated hardware that deals with the fuel. Most commercially available gas grills come with stock
propane set-ups unless otherwise specified, however most manufacturers sell aftermarket conversion
kits.
There are several claims that competitors make as to why and how they have a more even
temperature distribution across their grilling surface. Some of the more expensive varieties incorporate
a ceramic briquette system. Bull outdoor products sent a panel of the briquette system to test and
compare against their current flame tamer design. The results can be found in the result section.
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Objectives
Bull Outdoor Products has asked team License to Grill to focus on one central concern they have
deemed important. The problem of uneven temperature distribution across the grilling surface is a
recurring issue that our team plans to investigated theoretically and empirically in order to offer
solutions. To address these concerns, our team built, tested, and evaluated procedures that lead us to
conclusive results that Bull Outdoor products can implement in future designs and manufacturing in
regards to their outdoor gas grills.
The first objective was to perform theoretical analysis to develop a model of the grill systems as
they currently exist. The next objective was to build a test apparatus to measure and record
temperature profiles of the grills. The ultimate objective was to combine the results of both methods to
make final recommendations to address these concerns.
Management Plan
In order to maximize efficiency of the team, tasks were delegated to each team member such
that multiple tasks progressed simultaneously. These tasks reflected the particular strong skill sets of
each member. All team members have had a part in the research of current grilling technology and
documentation.
Responsibilities
Mr. Willson
Communication with Bull Outdoor Products.
Computational modeler
Heat transfer analyst
Thermodynamics analyst
Data collection expert
Mr. McGill
Communication with workspace facility personnel
Budget
Solid modeling
Test checker, for accurate procedures and repeatable results
Mr. Gobell
Shop tech
Pretest, test mock up, and fabrication expert
Solid modeling
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Mr. Willson, Mr. McGill, and Mr. Gobell shared some responsibilities equally. These
included, but were not limited to:
Product-related research
Problem calculations and modeling
Test procedure generation
Design ideation
Document write-up
With these responsibilities, both individual and shared, License to Grill was able to maximize
the time used to improve the grill design for Bull Outdoor Products. A Gantt chart detailing past and
future project tasks may be found in Appendix L.
Test Design Development
Background Research
Based on the details of the problem from Bull Outdoor Products, License to Grill has conducted
background research relating to barbeque technology as a whole. Having a thorough grasp of what is
out in the market will aid in making the necessary conceptual designs to develop the best possible
solution to the problem. This includes looking into infrared burner technology, natural gas and propane
fuels, burner configurations, hood design, etc.
Accurate and repeatable temperature collection was the primary focus during the testing fixture
design phase. These temperatures produced the necessary data to make informed design changes on
the barbeque itself. In order to collect temperature data for multiple points inside the Brahma and
Angus (models sent from Bull) a temperature Data Acquisition system (DAQ) simultaneously collected all
the needed temperature points. The most reliable and cost effective way to measure multiple
temperatures at once is with thermocouples hooked up to the DAQ. The DAQ sends the information to
a computer that can plot in real-time the temperature distribution of the barbeque.
Professor Kim Shollenberger of Cal Poly is an expert in heat transfer and fluid mechanics. Her
experience with temperature acquisition pointed us to a DAQ from Measurement Computing
Corporation (MCC) with a 32 thermocouple input capability. She also recommended software that
allows for numerous inputs to the computer (which we found satisfied by TracerDAQ Pro, also from
MMC).
Choosing the correct thermocouple to use for the most reliable and accurate results required
much research and comparison of various types. Table N-1 in Appendix N gives a comprehensive
overview of which thermocouple type was best suited for the test environment. In the end, the
thermocouple that was chosen had to be reliable in the anticipated temperature range. Repeatable
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results must also be achievable or comparing a design improvement to the old design becomes a moot
point. At our predicted maximum grill temperature of around 1000°F, oxidation and thermocouple
insulation material become especially relevant concerns. Type N thermocouples with glass braid (GG)
insulation, although expensive, were chosen to address these two concerns. From Table N-4 in
Appendix N, the temperature range for the glass braid insulation can be seen to hold our predicted
maximum temperature.
Application
License to Grill has determined three types of insulation for type N
thermocouples that are suitable and cost effective for the desired application. These
types vary in the amount of sheathing that surrounds and protects the wiring
inside. Each have been rated for certain range of temperature that they will best relay
accurate data. The thermocouple temperature rating is between 200 and 2300 degrees
Celsius (Watlow, pg.25). This is almost identical to type K thermocouple wiring,
however, research showed that type N wire would better handle the cyclic temperature
pattern of testing.
Other considerations that were thought to be related and important in their
own right were the stiffness of each type and the ability to minimize quantity by
reducing the diameter of each wire. Attaching the thermocouples to the test fixture as
well as to any other point on the grill is another important consideration. The stiffness
of the wire became a factor when considering how the thermocouple would make
contact with the grill. The wires had to be stiff enough to spring back after being
dragged across a bar, but not too stiff to hinder movement over the bar completely.
Thermocouple Types
The following is a summary that our team has developed to streamline the
process of selection and underline all the important parameters associated with the
selection process found in Appendix N of this report.
Testing
Before any physical data was taken, the thermocouple and insulation selected
was tested to determine if it was suitable for the rigorous testing to follow. The testing
procedure outlined in Appendix S and P specifies the exact method and procedure as
well as the safety procedure in Appendix R.
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Concepts
The main goal in the first quarter of our project was to conceptualize and develop tests as well
as a test fixture that would be able to handle the many different types of experiments our team would
like to carry out. The primary test centered on collecting temperature data across the entire grilling
surface to determine the temperature distribution.
The team developed a set of criteria that would set guidelines. The tests and test fixture need to
have these qualities at a minimum:
Reliable
Fast
Accurate
Repeatable
Adjustable
Presentable
Applicable
Reasonable /Relevant
Safe
Logical
After laying out the basic criteria that would guide the concept generating process License to
Grill began producing theoretical test procedures and test apparatus solutions. Below are the details of
the two concepts. A safety procedure before any test begins is in Appendix R.
Test
The types of test that our team developed were broken into two categories. The
first was the primary testing goals. Primary tests deal directly with temperature and
data acquisition on or surrounding the grill surface. This was the first priority because it
was the main subject in the initial problem statement. The tests associated with this
category needed to be detailed and offer considerable insight into to exactly what
occurs from combustion to heat transfer. The tests run, in regards to this category,
guided most of our design. See Appendix Q for the general testing procedure followed.
Next secondary tests served to offer background information and a more
detailed analysis of areas that did not involve the grilling surface such as air
temperatures at the vents and outer surfaces such as knobs and hood.
Categorizing these tests placed priority on areas that allowed the team to
gather data to further our understanding of what is occurring in the grill. These
experiments were refined and evaluated throughout the project timeline so that data
remained pertinent and or relevant.
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Test Fixture
The test fixture is a product and a physical representation of the tests we as a
team planned to execute. Following the basic criteria discussed above served as a guide
to what was included and how it was achieved involving data acquisition. The following
features took into account while designing the test fixture:
Structure dimensions
Thermocouple mounts
Thermocouple mounting system
Thermocouple wiring accommodations
Structure positioning/constraining
Moving components
Thermal Expansion
Actuating/Indexing thermocouples
Servicing/maintenance
This leaves room for many designs that can accomplish this goal and final
decisions can be evaluated on other aspects such as manufacturability, cost and time
associated with set up/running tests. A need to have temperature readings in equal
fixed distances in the entire inside area of the grill dictated how the basic structure
would function. From this, the structure was designed to accommodate several different
thermocouple mounts and mounting systems.
Following the initial structural design, many considerations needed to be
processed to develop a data collection device that would not skew the result or alter the
natural mechanisms that occur in the grill while in operation. Design considerations
were as follows:
Mass of test fixture
Temperatures in and around grill
Convection disruption
Grill modifications
Thermocouple placement and position
Conduction/Material choice
Manufacturing
Data Acquisition
Cost
These considerations further placed constraints on the final design of our test
fixture. An important note to make is that this device has few mechanical parts but must
be able to perform several temperature reading tests. To reduce the potential for
human error, the design was kept simple with the intention of allowing for consistent
tests. A visual of our final design can be seen in Figure 1 and previous iterations can be
seen in Appendix I.
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Figure 1. Final test system setup.
Test Fixture Selection
The next obstacle was to choose a solution that accomplished all the
requirements stated above. Initial considerations for design selection included
manufacturability and material availability. This was a factor in deciding how and with
what could be used to build the test fixture. Implementation and actual data collection
was the primary goal and the sooner testing could begin the better. The resources that
were available to the team include the machine shops on campus and local and online
vendors. Accessing all the resources available to our team gave us a realistic picture
needed to complete our goals. One of the main resources that our team had access to
was Cal Poly faculty and technicians. Their insight was highly valued and greatly
appreciate - helped guide the design selection process. The approved budget totaled
$5,400.00 and allowed License to Grill to allocate a large percentage of our budget to a
Data Acquisition System. The type of system, number of readings and sensitivity all
played a role in determining the setup and operation of the test fixture. A structure with
the most reliable and accurate method of data capturing made the final cut. A detailed
breakdown of the budget is in Appendix K.
Laptop with Real-Time Data Display
Data Acquisition System
Slider Bar with
Thermocouples
Test
Fixture
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Final Test Fixture Selection
The selection described in the “Test Fixture” section incorporates all the design criteria and the
ability to be flexible to allow the team to perform various tests. The apparatus went through several
iterations. Appendix J shows a structural strength calculation to ensure the structure could handle the
loads at the elevated temperatures. The final selection closely follows the criteria established in the
initial selection but with an emphasis on reduction of the thermal mass.
Keeping the background research in mind, we conducted tests to first increase our basic
understanding of the underlying issues in relation to Bull’s particular grills. Once we had preliminary
data, we began to formulate design changes to the current systems.
After data was collected, the early computer models of the grill system were updated
(Appendices B through H) to ensure that they are representative of the grills. This helped in determining
the effects of any proposed changes made in the following design iteration of the barbeque.
After testing was completed and the results were analyzed to pinpoint the problem area(s),
License to Grill brainstormed concept designs to address the concerns. The unrestricted brainstorming
process allowed all concepts to have an equal and fair chance to be considered before making a final
decision. The team wanted to have ample ideas and then weed out the infeasible ones. Simple analysis
was done on the concepts and proof of concept models were created for those which held promise.
Once we received the unmodified barbeques, our team was able to streamline ideas and make more
informed decisions in regards to fixture design.
Figure 2. Design process to be followed during the early stages of this project.
Source: “The Mechanical Design Process”, D. Ullman 1992
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Manufacturing
The main objective and emphasis of the project is to offer a viable solution to the problem of
uneven temperature distribution throughout the grill surface. This requires intensive testing and
evaluations of these tests.
Resources/Capabilities
The design constraints associated with our project mentioned above served as a
launch point along with the initial test fixture concept. The final design includes input
from a manufacturing point of view and was factored into the design long before
construction began. Understanding the resources and limitations associated with the
manufacturing capabilities was key to producing a quality test structure. The facilities
that were available to our team include the following:
Basic wood- and metal-working tools
Drill Presses, chop saws, bench grinders
Manual lathes and mills
Vertical CNC machine
MIG Welder
Spot welder
TIG Water cooled welder
Brazing Equipment
General Machine shop Equipment
Fabrication
The most important piece of equipment for experimentation is the test apparatus. After
flushing out the final design, basic drawings were generated and taken to the machine shop to
communicate important design details. A fabrication plan was developed that detailed
manufacturing steps to ensure our fabrication went smoothly and stayed on schedule this is in
Appendix O.
For definitions of test fixture terminology used, see Appendix A.
Design 1
The first design used the team’s initial concepts and was an attempt to put into
practice what our team felt was a good starting point. There was some uncertainty in
the design, and as such, we allowed for modifications should they it cause problems
during the testing. As stated before the wire and pulley system was our initial design
strategy to moving the slider bar. After constructing the basic rectangular test structure,
the slider bar with thin steel wire attached to each end of the wire and joined in the
middle to create a Y-junction. The single end of the Y-junction was routed along pulleys
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to the rotisserie port elevation, which it could be pulled manually to move the slider bar
across the grill surface. The design also incorporated a tabbed indexing system that
would allow the slider bar to stop at each prescribed point where it would remain for a
short amount of time that would allow for data collection. The indexing points on the
fixture were machined as described in Appendix O and seen in Appendix I. It became
very apparent after assembling the components and testing the system that this
method was both unreliable and inaccurate. The slider bar would bind, pull over
designated marks and performance at operational temperatures was a major concern.
Our team took this failure as a learning opportunity and began to generate ideas that
would solve the encountered problems. This first design allowed valuable insight to
improve on the next design.
Design 2
The second design had many advantages over the first and helped make it past
the initial testing phase and used in collecting data. As mentioned in the previous
paragraph, there was a need for a more accurate and reliable method to move the
thermocouples along the grill surface. Many ideas were generated; borrowing concepts
related to how basic CNC machines are controlled gave our team a new way to position
the slider bar. A lead screw would solve the major issue of travel. This design called for
5/16” diameter all-thread, a rod that is threaded its entire length. This in conjunction
with the appropriately sized nut would allow for controlled movement in either
direction. At the same time, our team did not want to alter the grill in anyway. The
transmission, can be seen in Appendix I, allows the user to control movement manually
via a hand crank. The crank arm is routed through the rotisserie port that is already in
place. Inside the grill, the crank arm is attached to a sprocket, which is connected via a
chain to an identical sprocket that is attached to the lead screw. The transmission is on
the outside of the test fixture but on the inside of the grill. This allows the unit to fit
inside the grill. This can be seen in Appendix I in greater detail.
After testing commenced using design 2 several minor issues arose that were
addressed along the way. The first was there were small ports for ceramic feet on the
bottom side of the test fixture but do to a communication error the feet were not made
to the correct dimensions and did not fit into the prescribed holes. Metallic feet were
not welded given that conduction through the feet might skew future data. This caused
the test fixture to move and wedge itself in between grill bars. This situation would
allow the fixture to be slightly tilted and cause the thermocouples to contact the bars at
different places depending on the location in the grill. This was primarily because the
thermocouple wiring that our team had selected was stiffer than anticipated even at
elevated temperatures. This would not have been such a problem however this factor
was multiplied 31 times given the number of thermocouple that were on the slider bar.
This caused the stiffness of the system to behave much different than previously
thought. This caused the test fixture to move rather than the slider bar at times and
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allowed for some shifting to occur. This was quickly solved by taking some of the excess
thermocouple wire (rated for our exact temperature range) and tying the test fixture
down in all four corners. This method worked for the most part however at times it
made quick changes more difficult and inserting modified flame tamers very difficult.
Among other issues were transmission issues that caused the system to become
unusable until the problems were resolved. Lubrication and operation at elevated
temperatures such as 700°F adds considerable complexity to any system. This was best
managed with high temperature cutting lubricant. The second designed test fixture was
built specifically for the Brahma model grill and because of this it could only be used
when testing that specific model. This was what our team had intended to do from the
start so that the next fixture that was built that was for the smaller Angus model would
have some of the improvements that our team felt would have the most influence.
Overall, our team was very pleased with the test fixtures performance and felt
that with a few further modifications the design would be considered sound. The
modifications that were made and the reasoning behind them are explained below. The
second design made great advancements as compared to the first and much was
learned in the process. At this point, the team took all the knowledge that we had
gathered and design three is a culmination of this knowledge. Build descriptions and
schematics can be found in Appendices O and I, respectively.
Design 3
Design 3 is an iteration of Design 2 with additional modifications to enhance its
functinality. The first being that all-thread, as mentioned above, was not an ideal
component to transfer linear motion and in its place our team went with a larger half
inch diameter ACME threaded rod. To reduce the number of components, our team
decided to forego the transmission and implement a direct drive system that makes use
of an electric motor (electric drill) to move the slider bar. Two slots were cut on each
side of the grill to allow the shaft to slide through, and the shaft can be chucked up in
the drill. The testing previous to this showed that there was heat loss occurring through
gaps on either side of the grill hood. As the slots that we made are considerably smaller
than these pre-existing gaps, the slots should not cause a significant change in heat loss
through the sides. In addition to the improvement of using ACME thread over regular
thread, the lead screw was fixed to the fixture on each end using radial ball bearings.
These bearings helped to reduce friction and keep the slider bar aligned over the guide
rails. The bearings were installed in plates machined to have an interference fit of
0.001”. Locating the bearings this way allowed for accurate location and greater ease of
use. The other option that was discussed was to install the bearings by welding them in
place but this could lead to damage or warping due to the high heat that they would be
subjected to. This was realized because the first test fixture warped during welding. The
press fit worked well and held the bearings in place enough to let them smoothly roll,
while still tight enough to not let the bearings move or fall out during testing. The final
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addition to the third design was welding on thin feet to the fixture so it would not fall in
between the grill bars. All of these improvements allowed for rapid collection of more
accurate data, leading to stronger confidence in the results.
Detailed Analysis – Total System and Fuels
The team has assembled various simulations using Engineering Equation Solver (henceforth
referred to as “EES”) for the grilling process in order to give a platform to vet potential alterations to the
grills in the future. Factors such as the volumetric flow rate of air through the system, excess air with
regards to combustion were tested for and ultimately approximated in order to get the simulations as
representative of the system as we could. The simulations were not able to exactly predict the
temperature profile of the grill surface, but they were able to predict trends such as the lower
temperature “cold spots” being located immediately above the flame tamer and the higher temperature
“hot spots” being located between burners. Appendix M has the initial test data which served to give us
some idea about temperatures we could anticipate see on the grill.
The initial EES programs computed the complete combustion of the fuels entering the barbeque
grills. The composition of natural gas was obtained from the gas supplier, PG&E. The composition of
propane was found online in a Material Safety Data Sheet (“Safety Services of Suburban Propane”), but
was assumed to be primarily propane. The adiabatic flame temperature for complete combustion of
propane was approximately 3600°F. The adiabatic flame temperature for natural gas was approximately
3200°F. Appendix C contains the EES program for propane combustion, and Appendix D contains the
EES program for natural gas combustion.
Early on in our calculations, through these programs, we determined that the effects of
humidity could be neglected from future calculations, as the effects that they had on heat transfer were
small. Table 1 shows values for heat transfer based on humidity (the variable “a” representing relative
humidity between approximately 0 and 80%). Please see Appendix C for the EES program.
Page 19 of 35
Table 1. Effects of humidity on the heat transfer.
a cv
[Btu/hr]
0.00356 -10120
0.00712 -10116
0.01068 -10111
0.01424 -10107
0.01780 -10103
0.02136 -10098
0.02492 -10094
0.02848 -10089
0.03204 -10085
0.03560 -10081
The programs following were an attempt to model the internal temperature distribution. We
then turned to developing our model of the overall system with the First Law of Thermodynamics. Our
control volume is shown in Figure 3. Values such as the measured temperatures mentioned early in the
“GIVEN/MEASURED” section of the EES program (see Appendix B) were found through testing with all of
the burners set to their “medium” setting.
Figure 3. Control volume of grill. CAD file courtesy of Bull Outdoor Products.
��air
��fuel
��products
��steel
��out
Page 20 of 35
From this program, we were able to approximate the amount of excess (non-combusting) air
(shown in the program as “airmultiplier”) through known and approximated temperatures and the average
time it takes for the grill to reach steady-state. The percent excess air was thus found to be
approximately 400% (see Appendix B for First Law of Thermodynamics calculations).
Detailed Analysis – Grill Surface
The next simulation was for transient nodal analysis of the grill surface. Nomenclature used for
descriptions and the numbering system used for the nodes are described in Appendix A. The purpose of
this simulation is to be able to see the temperature distribution across the grill surface over
time. Convection, conduction, and radiation modes of heat transfer are included in the analysis.
Appendix E contains an explanation of the equations used, Appendix F contains the spreadsheet output
from Microsoft Excel where the calculations took place, Appendix G shows a sample calculation, and
Appendix H has the EES code used to find the thermodynamic properties used in the calculations.
The simulation (for propane with all burners on the “medium” setting) is shown in Figure 4.
Page 21 of 35
Bar
No
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7
Syst
em Simulation
77
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29
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27
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78
Tem
pera
ture
[F
]
Bar
Set
12
34
56
78
51
64
56
23
4
91
23
8
19
20
21
221 2 3 4 165 6 7 8 9 10
11
12
13
14
15
Figu
re 4
. Tem
per
atu
re p
rofi
le o
f th
e en
tire
gri
ll su
rfac
e af
ter
10
min
ute
s.
Page 22 of 35
It was also found that the relationship between the relative influences of radiation and
convection were directly influenced by the grill bar temperature. This relationship is shown in Figure 5
for a simulation conducted for constant combustion product temperature and flame temperatures. As
can be seen, the system will reach its steady-state temperature when the ratio between the radiation
and convection is equal to -1, which indicates that the convection causes energy loss in the grill bars
equivalent to the energy gain through radiation. The terms described as the radiation and convection
influences are shown in Appendix F as equations [4] and [5], respectively.
Figure 5. Ratio of convection to radiation influence as a function of the grill bar node 14 temperature.
Results and Discussion
The results in the following section were accomplished by following a strict test procedure that
was outlined earlier. This said, testing a barbeque outside has inherent variability that can consequently
skew the data. The effect of a strong wind was to cool off the barbeque, thus lowering the grill bar
temperatures. Similarly, when the humidity differed from day to day there were differences in the
temperatures across the grill. This could have been avoided if testing was performed a completely
isolated and controlled environment. However, the team did not have access to a large enough fume
hood system that would allow for testing to be conducted indoors. The temperature profiles were
difficult to duplicate because the test environment could not be controlled. Fortunately, as we were
testing at in the same location at about the same time of day (for greater consistency of radiation from
-1.0
0.0
1.0
2.0
3.0
4.0
5.0
6.0
7.0
0 100 200 300 400 500 600 700 800 900
Rat
io o
f C
on
vect
ion
to R
adia
tio
n In
flu
ence
[-]
Grill Bar Temperature of Node 14 [F]
Page 23 of 35
the sun, which was otherwise not considered), we were able to get close temperature profiles for
repeated tests. The wind however, can skew certain portion of the data as it was generally not constant
and gusted from time to time. There were precautions made to reduce this, but again the barbeque
could not be fully enclosed for safety reasons and there is always going to be some variability though
small.
There were many more tests done on the propane fueled Brahma barbeque then the natural
gas Angus barbeque. This is attributed to the similarities that were found between the two gas types. It
will be shown below that both fuel types produce the same uneven temperature pattern across the grill.
Due to similar results seen between the two fuels, the decision was made to primarily run our tests on
the Brahma grill.
Results – Unmodified System
Tests were conducted at three different burner settings - “medium”, the lowest possible, and
the highest possible. Very few tests were conducted at the highest possible temperature, as the
temperatures nearly exceeded 1000 °F and were thus deemed impractical for general consumer grilling.
Figure 6 shows collected data for the same settings as the simulation results shown previously in
Figure 5. The test fixture needed to be attached to the grill surface, and as a result, only the
temperatures of 36 of the 45 grill bars were recorded, as shown in Figure 6. Figure 7 shows the
comparison between the simulation and measured temperatures across the grill for the 7th node of
each bar. While the measured and simulated temperatures were clearly not the same, the overall
temperature profiles were of similar shape. Shifts in the peak locations is a result of the grill bar sets
sliding around during testing.
Page 24 of 35
Bar
No
de
--
--
--
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74
38
44
55
44
94
44
44
44
56
45
84
69
43
63
99
39
43
83
--
-
--
--
--
32
63
37
31
93
55
37
44
06
42
64
25
41
64
17
42
94
34
44
44
53
46
64
67
47
14
77
48
34
83
49
74
84
46
84
71
45
64
55
44
74
41
43
94
42
45
54
69
43
74
01
39
63
74
--
-
--
--
--
35
13
66
33
43
55
38
44
28
44
14
16
40
04
01
40
44
34
44
94
58
46
64
62
46
94
75
48
24
91
51
24
88
45
64
61
45
54
51
43
94
26
42
74
34
46
34
73
43
94
09
40
13
70
--
-
--
--
--
32
33
36
30
73
55
37
24
29
43
94
14
39
74
01
39
54
33
45
44
65
47
04
70
47
44
72
47
95
11
50
14
96
43
84
64
45
84
43
43
44
19
42
44
35
46
24
77
44
34
01
39
73
56
--
-
--
--
--
36
13
70
32
13
62
38
54
42
45
14
19
40
44
05
40
64
39
46
64
77
47
44
54
47
14
68
47
75
17
52
45
02
46
84
57
46
34
50
43
74
24
43
54
46
46
54
83
45
94
17
40
93
64
--
-
--
--
--
32
93
59
33
43
71
39
74
35
44
44
18
40
54
08
41
74
45
47
34
85
47
54
72
47
94
79
48
35
31
53
75
06
46
14
69
47
04
56
43
94
28
43
14
46
45
74
73
45
34
18
41
43
53
--
-
--
--
--
35
93
67
36
53
87
39
84
31
44
04
15
40
34
09
41
44
46
47
94
89
47
34
70
47
64
81
48
35
40
55
25
06
45
44
64
47
24
52
43
44
23
43
04
47
45
14
66
44
44
05
40
13
56
--
-
--
--
--
36
23
69
36
73
78
40
64
32
43
14
17
41
04
11
42
44
51
48
34
90
47
14
69
48
04
79
48
75
36
56
35
14
44
74
63
47
34
60
44
14
25
42
94
43
44
64
64
44
74
07
40
63
59
--
-
--
--
--
32
93
42
35
53
90
41
54
30
42
84
18
41
54
17
42
74
54
48
64
93
47
64
68
47
94
78
49
15
37
55
85
11
44
74
57
47
34
66
44
74
31
43
54
45
44
34
59
44
44
14
41
53
66
--
-
--
--
--
35
23
64
37
03
92
42
44
33
42
54
17
41
64
19
43
14
61
49
04
89
47
44
69
48
64
87
49
45
35
56
35
03
43
44
46
46
74
63
44
44
28
43
34
44
43
34
47
43
34
10
41
13
61
--
-
--
--
--
34
73
54
37
14
00
42
74
33
42
24
20
42
14
25
43
44
63
48
84
82
46
44
72
49
44
84
49
75
46
54
94
99
43
74
47
46
34
66
45
14
38
44
24
51
43
84
44
43
34
11
38
63
69
--
-
--
--
--
32
73
44
36
73
95
42
74
29
41
74
13
41
84
23
43
04
62
48
74
73
45
34
61
49
84
81
49
85
64
56
14
93
42
54
43
45
14
60
44
64
36
44
14
46
43
44
34
42
54
03
40
63
61
--
-
--
--
--
34
03
51
37
64
02
42
74
22
41
94
16
41
74
29
43
24
65
48
24
68
45
44
69
49
44
83
50
25
53
55
84
91
42
14
32
44
64
57
44
54
36
44
43
77
43
94
30
42
84
04
40
83
59
--
-
--
--
--
34
63
43
37
44
01
42
44
18
41
44
09
41
54
16
42
64
55
46
54
58
44
74
74
47
94
81
49
05
47
52
94
91
41
24
14
42
94
38
42
94
19
42
73
51
42
44
14
39
93
93
39
83
60
--
-
--
--
--
33
33
42
37
44
00
41
84
21
41
44
13
41
24
16
42
14
52
46
34
62
45
04
82
48
14
80
48
65
33
51
94
88
42
14
10
42
94
44
43
04
21
42
84
32
41
74
16
40
84
00
37
53
58
--
-
--
--
--
33
43
45
37
63
99
41
54
19
41
44
10
41
04
15
41
94
49
45
84
61
45
84
83
47
94
76
48
45
18
50
64
81
41
04
24
42
54
32
42
64
18
42
44
26
42
14
10
40
74
00
40
33
55
--
-
--
--
--
33
03
35
36
93
91
40
64
20
41
04
11
40
64
07
42
04
45
45
04
59
46
04
94
48
14
76
47
75
00
49
74
79
41
44
20
42
14
26
42
04
13
41
94
28
39
13
89
35
53
95
40
23
55
--
-
--
--
--
34
33
36
36
53
84
40
04
16
40
94
06
39
74
14
40
64
37
44
24
64
47
65
03
48
04
70
47
14
99
50
04
70
41
44
17
41
44
13
40
94
02
40
84
09
40
34
04
40
34
22
39
93
49
--
-
--
--
--
32
23
30
35
83
77
39
34
08
40
44
05
39
03
93
39
64
28
43
24
55
47
94
91
46
03
84
36
34
99
48
54
67
41
04
12
40
94
00
39
83
92
40
13
96
39
03
95
40
13
95
39
13
42
--
-
--
--
--
32
73
37
36
03
77
38
74
03
40
14
07
39
23
99
39
54
24
43
14
43
47
64
74
46
74
59
45
64
82
48
64
66
41
14
05
40
13
97
39
63
92
39
73
95
38
53
92
39
63
89
38
63
39
--
-
--
--
--
31
73
31
35
13
69
38
23
91
39
33
96
38
63
87
39
04
15
42
54
41
45
54
52
44
64
38
35
44
76
47
33
64
39
94
00
30
53
87
38
63
84
38
83
86
37
63
85
39
13
82
37
93
33
--
-
--
--
--
32
63
19
35
33
64
37
33
76
38
03
83
37
53
77
37
84
00
41
44
23
43
94
41
43
03
57
33
94
54
46
04
33
39
03
91
38
03
75
37
53
75
38
23
80
36
83
76
38
13
71
37
13
19
--
-
--
--
--
32
03
27
31
63
57
35
23
75
37
83
83
37
63
75
37
93
97
41
04
16
42
24
27
41
94
15
42
24
38
44
84
23
38
33
90
37
83
74
37
63
77
38
23
69
36
83
76
37
93
66
31
23
21
--
-
--
--
--
31
83
24
33
83
48
35
83
67
37
33
78
37
33
75
37
73
94
40
24
07
41
44
15
38
84
06
38
34
18
42
94
09
37
23
79
37
13
71
37
43
73
37
73
69
36
43
69
37
13
57
35
83
08
--
-
--
--
--
34
23
47
35
63
69
37
43
79
37
63
65
36
53
65
39
43
77
38
63
92
39
73
99
39
63
94
40
14
02
40
83
95
35
63
60
34
83
56
35
53
60
36
73
56
34
73
59
36
13
44
34
93
01
--
-
--
--
--
29
13
09
32
53
27
33
43
41
34
53
49
34
83
55
35
93
67
37
23
71
37
63
81
37
03
70
37
83
83
38
03
67
33
23
59
34
43
47
35
13
49
35
83
46
33
83
48
34
43
34
32
72
88
--
-
--
--
--
30
63
21
32
83
35
33
43
28
33
83
52
35
73
62
36
03
73
37
63
70
38
23
77
37
83
79
36
93
66
31
22
81
32
23
50
33
33
41
33
53
42
35
03
42
33
13
48
34
03
26
32
82
96
--
-
--
--
--
28
52
99
32
03
28
32
13
27
33
43
35
35
23
44
34
23
58
35
03
52
35
83
57
35
43
55
36
13
67
36
53
41
31
62
89
25
73
29
32
73
39
33
33
17
30
23
26
32
03
13
31
02
97
--
-
--
--
--
26
62
85
31
03
14
32
63
40
34
83
52
33
93
45
34
83
56
35
73
51
35
43
57
34
53
45
35
93
56
34
63
41
30
43
19
31
23
29
32
43
44
33
43
29
31
03
20
33
43
12
31
42
72
--
-
29
45
67
88
91
23
Syst
em
12
34
23
45
67
89
1
25
16
17
18
12
3
19
20
Tem
pera
ture
[F
]
Bar
Set
12
34
5
56
78
94
56
34
56
77
89
1
Surface on Low
1 2 3 4 5 6 7 8 9 10
11
12
13
14
15
26
27
28
29
21
22
23
24
Figu
re 6
. Mea
sure
d t
emp
erat
ure
dis
trib
uti
on
.
Page 25 of 35
Figure 7. Temperature distribution comparison over the entire
grill surface for the 7th node along each bar.
Discussion – Unmodified System
From the results shown in Figures 6 and 7 there are “hot and cold” spots on the grill that can
lead to inconsistent grilling. The results validated the qualitative data given by Bull Outdoor Products
stating that they were perceiving the “hot and cold” spots and the general unequal nature of the
temperature of the grill. One of the more intriguing points to make is that the highest temperatures are
found not directly over the burner, as one might expect, but rather directly in between the burners.
After much discussion and consultation with the heat transfer text, it was determined that the flame
tamers geometry and location could play a major role in the varying the temperature of the grill surface.
It was first theorized that the flame tamer blocked the radiation that was directly coming from the flame
to the center of the burner. It was also hypothesized that the very geometry of the flame tamer trapped
hot gasses underneath it and pushed them out toward the side. This would increase the grill
temperature between the burners through both the radiation and convective terms of heat transfer.
The bars in between the burner are able to see the flames from both burners leading to the much higher
radiation term. These hypotheses were tested in the model and proven to be a solid basis for the team
to start designing new flame tamers based of this insight.
Results – Briquettes
As mentioned before, Bull Outdoor Products sent us a briquette system (shown in Figure 8
placed above the center burner) to compare to their current flame tamers. For the comparison, our
team conducted a test with the two different systems with a single burner directly below the sample set
to “medium”. The results may be seen in Figure 9.
0
100
200
300
400
500
600
700
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45
Tem
pe
ratu
re [F
]
Grill Bar From the Left Side of Grill Box
Measured
Simulation
Page 26 of 35
Figure 8. Ceramic briquette system used by some of Bull Outdoor Products, Inc.’s competitors.
Figure 9. Temperature distribution from a single burner for two systems. Average ambient temperature
of 71 [F] for the ceramic briquette test and 68 [F] for the flame tamer test.
Node
Bar
182 187 179 187 196 207 220 199 207 197 199 197 198 203 233 220 198 197 197 187 208 196 187 213 202 181 238 195 217
228 201 205 206 222 234 235 222 236 218 221 230 218 222 217 264 240 215 216 210 248 214 202 206 204 204 232 220 223
229 218 221 220 240 263 256 246 257 258 241 276 246 251 246 238 240 239 239 235 255 240 228 230 257 222 241 245 251
247 246 270 259 271 286 294 287 300 302 294 289 292 289 292 263 288 281 262 259 292 262 250 253 271 249 274 282 293
280 311 320 316 342 356 366 355 364 359 333 340 328 326 325 294 298 295 297 292 310 294 277 267 308 288 301 319 318
313 328 345 354 399 433 466 465 468 469 460 469 455 448 448 416 391 391 402 399 400 388 371 346 376 402 403 373 383
349 373 384 382 447 489 553 583 577 598 663 653 618 598 530 601 532 529 527 519 479 470 450 432 469 537 508 411 399
363 395 406 405 442 482 538 576 589 611 648 664 654 633 624 640 581 585 596 593 547 534 486 456 464 476 493 415 414
359 389 396 401 448 502 581 622 629 661 706 700 676 673 677 644 598 617 623 631 600 600 548 518 530 582 522 428 432
298 330 347 367 423 474 527 562 570 593 612 614 591 574 573 538 529 555 561 572 528 532 502 495 508 555 546 436 424
269 280 314 310 354 380 393 396 414 424 419 341 431 426 436 432 421 425 436 434 442 432 427 440 447 434 425 410 408
264 251 247 242 292 319 318 317 340 350 346 267 361 362 376 370 365 355 365 357 371 354 354 360 356 353 366 377 382
248 238 232 230 259 268 276 261 283 292 307 201 289 282 315 312 293 250 262 254 254 250 246 272 256 234 274 279 321
211 216 217 244 240 253 252 243 257 261 261 201 260 259 291 295 269 257 262 257 263 260 251 257 255 248 267 268 272
209 202 212 234 222 240 224 188 233 235 228 197 232 236 247 270 257 229 241 234 236 242 234 234 235 225 251 241 245
175 153 153 176 168 177 187 166 181 176 164 170 177 181 199 171 175 172 214 180 205 181 175 175 180 175 190 208 229
182 186 171 176 189 200 200 195 206 198 192 210 197 201 195 189 194 192 227 200 227 188 187 181 174 188 192 205 230
187 186 176 196 213 234 230 217 228 218 206 240 206 212 218 194 204 189 223 196 233 214 189 186 190 188 197 218 251
219 189 200 250 284 324 341 330 311 290 263 286 249 254 231 222 231 177 257 218 255 207 198 190 197 197 211 221 247
229 222 242 275 328 370 419 444 437 427 383 374 359 341 339 334 301 204 262 264 228 228 219 238 222 219 215 232 250
239 232 202 289 352 404 477 518 501 499 474 479 468 463 467 464 409 257 312 288 298 259 253 248 248 246 241 252 258
233 240 173 285 333 380 444 494 495 499 524 518 527 520 519 519 477 315 369 334 325 308 308 310 305 296 278 284 284
218 219 200 293 347 393 424 460 472 491 514 439 535 521 522 507 479 272 429 413 394 395 389 380 372 354 334 319 319
256 249 267 292 407 442 483 500 495 503 515 518 512 528 550 532 516 528 495 486 459 462 452 446 448 432 396 340 339
248 242 254 287 360 390 413 414 427 432 434 451 451 492 490 514 507 530 483 484 457 466 461 455 463 424 377 327 330
235 220 224 263 269 284 296 297 318 317 313 334 326 346 380 384 386 371 383 377 376 362 339 340 337 314 308 288 292
236 202 204 242 228 249 238 234 252 252 244 254 250 264 291 285 300 277 293 289 311 273 258 256 249 243 241 256 289
196 209 212 240 247 255 256 253 267 265 259 260 255 260 269 256 260 250 254 250 248 248 234 252 233 227 247 238 249
188 192 198 217 219 223 228 220 218 233 224 234 231 232 233 228 227 220 242 238 243 224 215 222 218 213 224 228 234
182 185 187 223 198 207 203 197 208 209 201 204 207 214 221 218 207 218 222 225 229 225 200 216 225 186 190 215 218
2
3
Bar Set
Cer
amic
Bri
qu
ette
s
System
Flam
e Ta
mer
5
6
7
8
9
1
8
9
1
2
3
4
8
9
1
2
3
7
2
3
4
5
6
7
2
3
4
2
3
4
5 4 3 2 1
Temperature [F]
11 10 9 8 7 617 16 15 14 13 1223 22 21 20 19 1829 28 27 26 25 24
7
8
9
1
Page 27 of 35
Discussion – Briquettes
From Figure 9, it can be seen that the temperatures of the grill bars with the briquette system
reach a higher temperature, but this comes at the cost of a greater temperature difference between the
lowest temperature of a bar and the highest temperature of the same bar. For instance, looking at grill
bar 7 of bar set 3 on both systems, the temperature difference for the briquette system is approximately
30°F higher than with the flame tamer system. With this in mind, the briquette system did not appear
to be a solution to the uneven temperature distribution.
Design – Modified Flame Tamers
As it was noted that the current flame tamers blocked both radiation and a portion of the
convection heat transfer directly above the burner, the first flame tamer redesign was a simple proof of
concept trial. It was the exact same geometry as the original flame tamer, but had 1/4” holes drilled
down either side of the top crown in an attempt to increase both the hot air travel up to the bars and
line of sight the bars had to the flames. After each flame tamer was tested more design changes were
made. There was not more than one variable changed at a time to control the experiment and eliminate
any question as to what caused the results.
Results – Modified Flame Tamer
Tests of the modified flame tamers were all conducted on the same day in order to try to
eliminate as many uncontrollable variables as possible (such as wind conditions, pressure, etc.). Due
to manufacturing and cost restrictions, only one of each modified tamer was made rather than a full set
of 5. Temperatures were taken directly over the flame tamer being tested with three burners set to
“medium” - the burner directly below the flame tamer and the two adjacent burners using the standard
flame tamers. The use of the adjacent burners was to ensure consistency of the results previously
determined on the full grill surface test with all of the burners on - specifically the “hot spots” being
seen between burners and the “cold spots” being directly above each burner.
Figure 10 shows the unmodified flame tamers currently used within the grills. As a baseline
comparison, we conducted a test with this flame tamer to compare to the modified flame tamers. For
further reference, we tested without a flame tamer. The comparison between the setup without the
flame tamer and the baseline may be seen in Figure 14.
The temperature profiles shown in Figures 11, 12, and 13 for the modified flame tamer is proof
of concept. The comparison to the baseline for each of these modified flame tamers may be seen in
Figures 15, 16, and 17.
Page 28 of 35
Figure 10. Stock (unmodified) flame tamer.
Figure 11. Modified flame tamer (“Type A”), which has an additional 30° added to the bend as well as 34
evenly-spaced ¼” holes.
Page 29 of 35
Figure 12. Modified flame tamer (“Type B”), which has two rows of staggered evenly-spaced ¼” holes
(34 holes in each row).
Figure 13. Modified flame tamer (“Type C”), which has two rows of staggered evenly-spaced
holes (34 holes in each row) with all of the holes ¼” except for the last six on the
higher row closest to the front of the grill, with are ⁄ ”.
Page 30 of 35
Figure 14. Temperature distribution comparison over a single burner for the standard unmodified flame
tamer and no flame tamer.
Page 31 of 35
Figure 15. Temperature distribution comparison over a single burner for the standard unmodified flame
tamer and the “Type A” modification (additional 30° bend and holes).
Node
Bar
423
451
438
490
541
596
575
576
562
584
597
600
610
614
641
645
628
608
638
637
612
615
620
594
588
593
583
523
525
417
439
454
524
570
658
652
663
596
615
602
598
616
634
642
677
661
582
658
662
631
643
635
525
621
584
592
479
542
437
448
463
491
579
611
636
670
617
629
652
660
666
678
697
692
679
713
699
522
640
647
635
543
615
599
578
528
543
430
444
458
475
542
563
599
625
595
616
644
642
653
509
658
666
640
651
640
513
611
608
590
468
546
566
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681
607
611
1
30 Degree Modification
2 3 4 5 6 7 8 96 7 8 9
63
1
Bar Set
System
62
1
1
Standard Flame Tamer
2 3 4 5
6
5
4
3
2
1
12
11
10
9
8
7
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13
24
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20
19
Tem
pera
ture
[F]
Ambient
29
28
27
26
25
Page 32 of 35
Figure 16. Temperature distribution comparison over a single burner for the standard unmodified flame
tamer and the “Type B” modification (staggered hole pattern).
Node
Bar
423
451
438
490
541
596
575
576
562
584
597
600
610
614
641
645
628
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638
637
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446
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728
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765
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832
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741
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650
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428
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511
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599
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529
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711
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650
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751
749
754
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735
711
703
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727
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700
692
781
777
718
549
625
1
Two Rows of Holes Staggered
2 3 4 5 6 7 8 96 7 8 9
58
1
Bar Set
System
62
1
1
Standard Flame Tamer
2 3 4 5
6
5
4
3
2
1
12
11
10
9
8
7
18
17
16
15
14
13
24
23
22
21
20
19
Tem
pe
ratu
re [
F]
Ambient
29
28
27
26
25
Page 33 of 35
Figure 17. Temperature distribution comparison over a single burner for the standard unmodified flame
tamer and the “Type C” modification (staggered hole pattern with larger holes in the front).
Node
Bar
423
451
438
490
541
596
575
576
562
584
597
600
610
614
641
645
628
608
638
637
612
615
620
594
588
593
583
523
525
417
439
454
524
570
658
652
663
596
615
602
598
616
634
642
677
661
582
658
662
631
643
635
525
621
584
592
479
542
437
448
463
491
579
611
636
670
617
629
652
660
666
678
697
692
679
713
699
522
640
647
635
543
615
599
578
528
543
430
444
458
475
542
563
599
625
595
616
644
642
653
509
658
666
640
651
640
513
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608
590
468
546
566
563
543
548
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458
486
531
576
594
596
611
633
658
640
689
654
573
650
635
623
601
590
480
568
555
551
446
561
578
578
558
556
455
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497
541
616
665
641
684
626
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660
743
695
708
689
697
690
683
660
534
609
603
602
575
589
601
600
572
566
466
487
531
606
678
728
718
745
694
765
700
832
753
741
737
757
730
727
699
692
648
650
647
647
634
675
660
561
572
489
428
477
511
572
579
599
632
630
639
645
643
680
529
719
710
683
710
704
711
689
696
688
623
654
687
662
558
581
465
418
452
445
534
580
615
667
699
690
643
685
676
543
687
715
716
756
747
750
713
747
751
750
706
764
731
602
605
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507
548
611
667
735
698
702
657
688
677
695
724
707
710
709
753
779
788
791
772
811
808
607
758
763
739
655
622
491
504
526
562
638
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737
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707
665
644
670
688
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741
738
753
753
783
751
798
786
759
752
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726
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640
495
518
540
579
667
715
729
727
673
668
657
682
676
707
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748
734
746
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739
714
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731
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727
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559
583
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702
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742
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723
653
641
7 8 99
59
1
1
Two Rows of Holes, Big Holes in the Front
2 3 4 5 63 4 5 6 7 8
3
2
1
Bar Set
System
62
1
1
Standard Flame Tamer
2
9
8
7
6
5
4
15
14
13
12
11
10
21
20
19
18
17
16
Tem
pe
ratu
re [
F]
Ambient
29
28
27
26
25
24
23
22
Page 34 of 35
Discussion – Modified Flame Tamers
As we had been seeing with our other tests, the temperature distribution for the standard flame
tamer contained “hot spots” and “cold spots” both laterally and longitudinally across the grill surface.
Laterally, the grill was hottest in the back. In the longitudinal direction, the coolest grill bars were those
that were directly above the flame tamers.
Without the flame tamer, the temperatures were fairly high all across the grill surface (as shown
in Figure 11), but this would be impractical for consumer use as flare-ups from grease drips would likely
become problematic. This does, however, indicate that we are headed in the right direction to try to
increase the radiation and convection heat transfer to the grill bars immediately above the burners.
The “Type A” modification as shown in Figure 12 was seen to improve the temperature
distribution for the bars above the burner, but minimal change to the temperature distribution towards
the front or back of the grill (shown in Figure 13). Due to the change in the angle, however, changes
would be need to be made to the overall shape of either the front and end of this flame tamer or the
grill box such that it could rest stably as the unmodified flame tamers rest on a lip in the grill box.
The “Type B” modification shown in Figure 14 improved the temperature distribution for the
bars above the burner and towards the back, but saw minimal change to the temperature distribution to
the lateral temperature profile, as can be seen in Figure 15.
The final modification tried, “Type C”, shown in Figure 16 showed the most improvement in all
three of the areas of interest (shown in Figure 17). The larger holes in the front appear to have served
their purpose of allowing for more heat transfer to the front section of the grill bars, without introducing
issues with heating the control surface.
Conclusion
Team License to Grill set out to asses Bull Outdoor Products barbeques and quantify the
apparent uneven temperature distribution across the grill. The results have shown that the flame
tamers play a large role in controlling the heat distribution across the grill bars. The flame tamers with
modified holes at the top showed improvement with lateral temperature distribution. The final flame
tamer design incorporating larger holes towards the front showed an improvement in both the lateral as
well as longitudinal, or front to back and side-to-side temperature distributions. There is much that can
be built on this study to further improve the temperature distribution and control other parameters
such as flare ups at the same time and will be subject for future research.
Page 35 of 35
References
ANSI and IEC Color Codes for Thermocouples, Wire and Connectors. Omega Engineering Inc.
www.omega.com. (Accessed December 2, 2012)
Bergman, Theodore L., Lavine, Adrienne S., DeWitt, David P., Incropera, Frank P. 2011. Introduction to
Heat Transfer, Sixth Edition. John Wiley & Sons, Inc.
Drysdale, Dougal. 2011. An Introduction to Fire Dynamics, Third Edition. John Wiley & Sons, Inc.
Moran, Michael J., Shapiro, Howard N., Boettner, Daisie D., Bailey, Margaret B. 2011. Fundamentals of
Engineering Thermodynamics, Seventh Edition. John Wiley & Sons, Inc.
Propane vs. Natural Gas. Propane 101. www.propane101.com (Accessed October 11, 2012)
SAF 5152 MATERIAL SAFETY DATA SHEET. Safety Services of Suburban Propane.
www.suburbanpropane.com/safety (Accessed December 1, 2012)
The Thermodynamics of cooking and how different cooking methods work. AmazingRibs, Inc.
www.amazingribs.com. (Accessed October 11, 2012)
Thermocouples. Watlow Electric Manufacturing Company. www.watlow.com. (Accessed December 2,
2012)
Tolerance of Thermocouples. Thermometrics Corporation. www.thermometricscorp.com. (Accessed
December 2, 2012)
Appendix A
1 of 2
An Explanation of Terms Used
Figure A-1. Nomenclature for external grill parts.
Figure A-2. Nomenclature for key internal grill parts.
Terminology for the test fixture: Slider Bar - square steel tube that contains 31 thermocouples in roughly ½ “ increments and forms a
“brush” that moves across the grill surface Lead Screw - threaded rod that spins relative to the slider bar nut and is used to actuate the slider
bar back and forth across the grill surface. Slider Bar Nut - an internal threaded nut that threads over the lead screw and allows the slider bar
to move by remaining stationary. Test Fixture - physical structure that the slider bar, lead screw and transmission are fixed to. Transmission - the second design calls for a small transmission which is comprised of two spur gears
and chain. Rotisserie Ports - physical cavities on either side of the grill that are used for a rotisserie but are used
in our case for routing thermocouple wiring and power transmission.
Hood
Grill Box
Grill Surface
Control Surface
Knob
Rotisserie Hole
Burner
Flame Tamer
Appendix A
2 of 2
Front of Grill Figure A-3. Numbering system used to describe the grill bars as used in calculations.
Node Number:
Bar Number:
Bar Set Number:
1 2 3 4 5
1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9
1 . 2 . 3 . . . . . . . 28 . 29 . 30 .
Appendix B
0 of 2
The following pages contain the EES code for applying the First Law of Thermodynamics to the
barbeque grill system.
File:F:\Senior Project\CDR Spring\Updated Calcs\Grill box first law ver 3.EES 6/5/2013 9:01:36 PM Page 1
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
"Grill Box - First Law - Propane- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Assuming:
-see assumptions list in APPENDIX E- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -""- - - - GIVEN/ASSUMED - - - -"m_steel=200 [lbm] "mass of barbeque steel - approximated"
T_amb=62 [F] "measured approx ambient temperature"T_air_ave=550 [F] "measured average air temperature leaving vent"T_steel_inside=550 [F] "approximate temperature of inside hood surface"T_steel_outside=220 [F] "approximate temperature of outside hood surface"
molarmass_C3H8=44.09 [lbm/lbmol] "molar mass of propane"molarmass_O2=32 [lbm/lbmol] "molar mass of oxygen"molarmass_N2=28 [lbm/lbmol] "molar mass of nitrogen"m_dot_propane=2.7 [lbm/hour] "mass flowrate of propane - measured"
DELTAt=(25 [min])*convert(min,s) "average measured time to steady-state"
"CALCULATIONS"c_steel=c_('Stainless_AISI304', (T_steel_outside+T_steel_inside)/2) "specific heat of 304 stainless steel"c_p_air=Cp(Air,T=T_air_ave) "specific heat of air for constant pressure"m_dot_air=(air_multiplier)*(m_dot_propane/molarmass_C3H8)*5*(molarmass_O2+3.76*molarmass_N2) "mass flowrate of air"m_steel*c_steel*(T_steel_outside-T_steel_inside)/(DELTAt*convert(s,hour))+m_dot_air*c_p_air*(T_air_ave-T_amb)=0 "first law - steady state"
Grill Box - First Law - Propane
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Assuming:
-see assumptions list in APPENDIX E
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - GIVEN/ASSUMED - - - -
msteel = 200 [lbm] mass of barbeque steel - approximated
Tamb = 62 [F] measured approx ambient temperature
Tair,ave = 550 [F] measured average air temperature leaving vent
Tsteel,inside = 550 [F] approximate temperature of inside hood surface
Tsteel,outside = 220 [F] approximate temperature of outside hood surface
molarmassC3H8 = 44.09 [lbm/lbmol] molar mass of propane
molarmassO2 = 32 [lbm/lbmol] molar mass of oxygen
molarmassN2 = 28 [lbm/lbmol] molar mass of nitrogen
mpropane = 2.7 [lbm/hour] mass flowrate of propane - measured
∆t = 25 [min] · 60 · s
minaverage measured time to steady-state
CALCULATIONS
File:F:\Senior Project\CDR Spring\Updated Calcs\Grill box first law ver 3.EES 6/5/2013 9:01:36 PM Page 2
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
csteel = c 'StainlessAISI304' , Tsteel,outside + Tsteel,inside
2specific heat of 304 stainless steel
cp,air = Cp 'Air' , T =Tair,ave specific heat of air for constant pressure
mair = airmultiplier · mpropane
molarmassC3H8
· 5 · molarmassO2 + 3.76 · molarmassN2 mass flowrate of air
msteel · csteel · Tsteel,outside – Tsteel,inside
∆t · 0.000277778 · hour
s
+ mair · cp,air · Tair,ave – Tamb = 0first law - steady state
SOLUTION
Unit Settings: Eng F psia mass deg
airmultiplier = 3.925 airmultiplier = 3.925 cp,air = 0.2489 [Btu/lbm-R]
csteel = 0.1265 [Btu/lbm-R] ∆t = 1500 [s]
molarmassC3H8 = 44.09 [lbm/lbmol] molarmassN2 = 28 [lbm/lbmol]
molarmassO2 = 32 [lbm/lbmol] mair = 165 [lbm/hour]
mpropane = 2.7 [lbm/hour] msteel = 200 [lbm]
Tair,ave = 550 [F] Tamb = 62 [F]
Tsteel,inside = 550 [F] Tsteel,outside = 220 [F]
No unit problems were detected.
Appendix C
0 of 4
The following pages contain the EES code for the combustion of liquid propane.
File:Propane combustion with air ver 2.EES 6/4/2013 9:17:14 PM Page 1
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
"Combustion of Propane- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Assuming:
-ideal gas behavior -complete combustion
-steady state-10% excess air-negligible work, kinetic, potential energy
C3H8 + (5+excess)( (O2)+ 3.76(N2) ) + a(H2O(g)) --> 3(CO2) + (4+a)(H2O(g)) + (5+excess)(3.76)(N2) + (5+excess)(O2)- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -""- - - - GIVEN/ASSUMED - COMBUSTION - - - -"flow=2.7 [lbm/hr] "mass flowrate of propane"T_propane= -60 [F] "input propane temperature"T_ambient=77 [F] "ambient temperature"P_in=14.7 [lbf/in^2] "input pressure"P_out=P_in "output pressure"molarmass_C3H8=44.09 [lbm/lbmol] "molar mass of propane"n_dot_propane=flow/molarmass_C3H8 "lbmols of propane per hour"
a=0 "humidity ratio prior to combustion"excess_percent=400 "percent of excess air"excess_percent=(excess/5)*100n_C3H8=1 "lbmol percentage propane"n_O2=5*n_C3H8 "lbmole percentage oxygen"n_CO2=3*n_C3H8 "lbmole percentage carbon dioxide"n_H2O=4*n_C3H8 "lbmole percentage water vapor"n_O2_ex=excess*n_C3H8 "lbmol percentage of excess oxygen"n_N2=(5+excess)*3.76*n_C3H8 "lbmole percentage nitrogen"
"- - - - LOOKUP/CALCULATIONS - - - -"h_bar_C3H8_form=ENTHALPY(C3H8,T=converttemp(C,F,25 [C]))"enthalpy of formation for propane"h_bar_O2_form=ENTHALPY(O2,T=converttemp(C,F,25 [C])) "enthalpy of formation for oxygen"h_bar_CO2_form=ENTHALPY(CO2,T=converttemp(C,F,25 [C])) "enthalpy of formation for carbon dioxide"h_bar_H2O_form=ENTHALPY(H2O,T=converttemp(C,F,25 [C])) "enthalpy of formation for dihydrogen monoxide"h_bar_N2_form=ENTHALPY(N2,T=converttemp(C,F,25 [C])) "enthalpy of formation for nitrogen"
h_bar_CO2_ref=ENTHALPY(CO2,T=T_propane) "specific enthalpy of carbon dioxide at ref temperature"h_bar_CO2_out=ENTHALPY(CO2,T=T_out) "specific enthalpy of output carbon dioxide"
h_bar_O2_in=ENTHALPY(O2,T=T_ambient) "specific enthalpy of input oxygen"h_bar_O2_ref=ENTHALPY(O2,T=T_propane) "specific enthalpy of oxygen at ref temperature"h_bar_O2_out=ENTHALPY(O2,T=T_out) "specific enthalpy of output (excess) oxygen"
h_bar_H2O_pre=ENTHALPY(H2O,T=T_ambient) "specific enthalpy of water vapor in the air prior to combustion"h_bar_H2O_ref=ENTHALPY(H2O,T=T_propane) "specific enthalpy of water vapor at ref temperature"h_bar_H2O_out=ENTHALPY(H2O,T=T_out) "specific enthalpy of output water vapor"
h_bar_N2_ref=ENTHALPY(N2,T=T_propane) "specific enthalpy of nitrogen at ref temperature"h_bar_N2_out=ENTHALPY(N2,T=T_out) "specific enthalpy of output nitrogen"h_bar_N2_pre=ENTHALPY(N2,T=T_ambient) "specific enthalpy of input nitrogen"
DELTAh_bar_C3H8=0 [Btu/lbmol] "difference of enthalpy of propane referencing input temperature"DELTAh_bar_O2=h_bar_O2_in-h_bar_O2_ref "difference of enthalpy of oxygen referencing input temperature"DELTAh_bar_O2_ex=h_bar_O2_out-h_bar_O2_ref "difference of enthalpy of oxygen referencing input temperature"DELTAh_bar_CO2=h_bar_CO2_out-h_bar_CO2_ref "difference of enthalpy of carbon dioxide referencing input temperature"DELTAh_bar_H2O=h_bar_H2O_out-h_bar_H2O_ref "difference of enthalpy of water vapor referencing input temperature"DELTAh_bar_H2O_p=h_bar_H2O_pre-h_bar_H2O_ref "difference of enthalpy of water vapor in air referencing input temperature"DELTAh_bar_N2=h_bar_N2_out-h_bar_N2_ref "difference of enthalpy of nitrogen referencing input temperature"DELTAh_bar_N2_p=h_bar_N2_pre-h_bar_N2_ref "difference of enthalpy of nitrogen in air referencing input temperature"
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W_dot_cv=0 [Btu/hour] "negligible work"Q_dot_cv=-15000 [Btu/hour] "heat transfer"
SIGMA_out=n_CO2*(h_bar_CO2_form+DELTAh_bar_CO2)+(n_H2O+a)*(h_bar_H2O_form+DELTAh_bar_H2O)+n_N2*(h_bar_N2_form+DELTAh_bar_N2)+n_O2_ex*(h_bar_O2_form+DELTAh_bar_O2_ex)SIGMA_in=n_C3H8*(h_bar_C3H8_form+DELTAh_bar_C3H8)+n_O2*(h_bar_O2_form+DELTAh_bar_O2)+n_N2*(h_bar_N2_form+DELTAh_bar_N2_p)+a*(h_bar_H2O_form+DELTAh_bar_H2O_p)Q_dot_cv/n_dot_propane-W_dot_cv/n_dot_propane=SIGMA_out-SIGMA_in "energy balance"
Combustion of Propane
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Assuming:
-ideal gas behavior
-complete combustion
-steady state
-10% excess air
-negligible work, kinetic, potential energy
C3H8 + (5+excess)( (O2)+ 3.76(N2) ) + a(H2O(g)) --> 3(CO2) + (4+a)(H2O(g)) + (5+excess)(3.76)(N2) + (5+excess)(O2)
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - GIVEN/ASSUMED - COMBUSTION - - - -
flow = 2.7 [lbm/hr] mass flowrate of propane
Tpropane = – 60 [F] input propane temperature
Tambient = 77 [F] ambient temperature
P in = 14.7 [lbf/in2] input pressure
Pout = P in output pressure
molarmassC3H8 = 44.09 [lbm/lbmol] molar mass of propane
npropane = flow
molarmassC3H8
lbmols of propane per hour
a = 0 humidity ratio prior to combustion
excesspercent = 400 percent of excess air
excesspercent = excess
5 · 100
nC3H8 = 1 lbmol percentage propane
nO2 = 5 · nC3H8 lbmole percentage oxygen
nCO2 = 3 · nC3H8 lbmole percentage carbon dioxide
nH2O = 4 · nC3H8 lbmole percentage water vapor
nO2,ex = excess · nC3H8 lbmol percentage of excess oxygen
nN2 = 5 + excess · 3.76 · nC3H8 lbmole percentage nitrogen
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- - - - LOOKUP/CALCULATIONS - - - -
hC3H8,form = h 'C3H8' , T =ConvertTemp C , F , 25 [C] enthalpy of formation for propane
hO2,form = h 'O2' , T =ConvertTemp C , F , 25 [C] enthalpy of formation for oxygen
hCO2,form = h 'CO2' , T =ConvertTemp C , F , 25 [C] enthalpy of formation for carbon dioxide
hH2O,form = h 'H2O' , T =ConvertTemp C , F , 25 [C] enthalpy of formation for dihydrogen monoxide
hN2,form = h 'N2' , T =ConvertTemp C , F , 25 [C] enthalpy of formation for nitrogen
hCO2,ref = h 'CO2' , T =Tpropane specific enthalpy of carbon dioxide at ref temperature
hCO2,out = h 'CO2' , T =Tout specific enthalpy of output carbon dioxide
hO2,in = h 'O2' , T =Tambient specific enthalpy of input oxygen
hO2,ref = h 'O2' , T =Tpropane specific enthalpy of oxygen at ref temperature
hO2,out = h 'O2' , T =Tout specific enthalpy of output (excess) oxygen
hH2O,pre = h 'H2O' , T =Tambient specific enthalpy of water vapor in the air prior to combustion
hH2O,ref = h 'H2O' , T =Tpropane specific enthalpy of water vapor at ref temperature
hH2O,out = h 'H2O' , T =Tout specific enthalpy of output water vapor
hN2,ref = h 'N2' , T =Tpropane specific enthalpy of nitrogen at ref temperature
hN2,out = h 'N2' , T =Tout specific enthalpy of output nitrogen
hN2,pre = h 'N2' , T =Tambient specific enthalpy of input nitrogen
∆hC3H8 = 0 [Btu/lbmol] difference of enthalpy of propane referencing input temperature
∆hO2 = hO2,in – hO2,ref difference of enthalpy of oxygen referencing input temperature
∆hO2,ex = hO2,out – hO2,ref difference of enthalpy of oxygen referencing input temperature
∆hCO2 = hCO2,out – hCO2,ref difference of enthalpy of carbon dioxide referencing input temperature
∆hH2O = hH2O,out – hH2O,ref difference of enthalpy of water vapor referencing input temperature
∆hH2O,p = hH2O,pre – hH2O,ref difference of enthalpy of water vapor in air referencing input temperature
∆hN2 = hN2,out – hN2,ref difference of enthalpy of nitrogen referencing input temperature
∆hN2,p = hN2,pre – hN2,ref difference of enthalpy of nitrogen in air referencing input temperature
W cv = 0 [Btu/hour] negligible work
Qcv = – 15000 [Btu/hour] heat transfer
Σout = nCO2 · hCO2,form + ∆hCO2 + nH2O + a · hH2O,form + ∆hH2O + nN2 · hN2,form + ∆hN2 + nO2,ex
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· hO2,form + ∆hO2,ex
Σ in = nC3H8 · hC3H8,form + ∆hC3H8 + nO2 · hO2,form + ∆hO2 + nN2 · hN2,form + ∆hN2,p + a · hH2O,form
+ ∆hH2O,p
Qcv
npropane
– W cv
npropane
= Σout – Σ in energy balance
Appendix D
0 of 6
The following pages contain the EES code for the combustion of natural gas.
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"Combustion of Natural Gas- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Assuming:
-ideal gas behavior -complete combustion
-steady state-no excess air (will be added later)-negligible work, kinetic, potential energy
Assumed Composition95.5% Methane2.75% Ethane1% Nitrogen0.75% Carbon Dioxide
( 0.955(CH4) + 0.0275(C2H6) + 0.01(N2) + 0.0075(CO2) ) + (2.00625+excess)( (O2)+ 3.76(N2) ) + a(H2O(g)) --> 1.0175(CO2) + (1.9925+a)(H2O(g)) + (7.5435+(3.76)excess)(N2)+(excess)(O2) + heat- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -""GIVEN/ASSUMED""- - - - - - - - - - - -"Q_dot_cv=0 [Btu/hour] "set heat transfer to 0 to find adiabatic flame temperature"W_dot_cv=0 [Btu/hour] "negligible work"T_nat_gas= 77 [F] "input propane temperature"T_ambient=77 [F] "ambient temperature"P_in=14.7 [lbf/in^2] "input pressure"P_out=P_in "output pressure"flow=2 [lbm/hour] "mass flowrate of propane"molarmass_CH4=16.04 [lbm/lbmol] "molar mass of methane"molarmass_CO2=44.01 [lbm/lbmol] "molar mass of carbon dioxide"molarmass_C2H6=30.07 [lbm/lbmol] "molar mass of ethane"molarmass_N2=28.01 [lbm/lbmol] "molar mass of nitrogen"input_mass=n_CH4*molarmass_CH4+n_C2H6*molarmass_C2H6+n_N2_r_fuel*molarmass_N2+n_CO2_r*molarmass_CO2n_dot_nat_gas=flow/input_mass "lbmols of propane per hour"
a=0 "humidity ratio prior to combustion"excess_percent=10 "percent of excess combustion air"excess_percent=(excess/5)*100n_nat_gas=1 "lbmol percent propane"n_CH4=0.955*n_nat_gas "lbmol percent methane"n_C2H6=0.0275*n_nat_gas "lbmol percent ethane"n_N2_r_fuel=0.01*n_nat_gas "lbmol percent nitrogen fuel input"n_CO2_r=0.0075*n_nat_gas "lbmol percent carbon dioxide"n_N2_r=2.00625*3.76*n_nat_gas "lbmol percent nitrogen from air"
n_O2=(2.00625+excess)*n_nat_gas "lbmole percent oxygen"n_CO2_p=1.0175*n_nat_gas "lbmole percent carbon dioxide"n_H2O=1.9925*n_nat_gas "lbmole percent water vapor"n_N2_p=(7.5435+3.76*excess)*n_nat_gas "lbmole percent nitrogen product"n_O2_ex=excess*n_nat_gas "lbmole percent of excess oxygen"
"LOOKUP VALUES""- - - - - - - - - - - -"h_bar_CH4_form=ENTHALPY(CH4,T=converttemp(C,F,25 [C])) "enthalpy of formation for methane"h_bar_C2H6_form=ENTHALPY(C2H6,T=converttemp(C,F,25 [C])) "enthalpy of formation for ethane"h_bar_O2_form=ENTHALPY(O2,T=converttemp(C,F,25 [C])) "enthalpy of formation for oxygen"h_bar_CO2_form=ENTHALPY(CO2,T=converttemp(C,F,25 [C])) "enthalpy of formation for carbon dioxide"h_bar_H2O_form=ENTHALPY(H2O,T=converttemp(C,F,25 [C])) "enthalpy of formation for water vapor"h_bar_N2_form=ENTHALPY(N2,T=converttemp(C,F,25 [C])) "enthalpy of
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formation for nitrogen"
h_bar_CO2_ref=ENTHALPY(CO2,T=T_ambient) "specific enthalpy of input carbon dioxide"h_bar_CO2_out=ENTHALPY(CO2,T=T_out) "specific enthalpy of output carbon dioxide"
h_bar_O2_in=ENTHALPY(O2,T=T_ambient) "specific enthalpy of input oxygen"h_bar_O2_ref=ENTHALPY(O2,T=T_nat_gas) "specific enthalpy of output oxygen"h_bar_O2_out=ENTHALPY(O2,T=T_out) "specific enthalpy of output excess oxygen"
h_bar_H2O_in=ENTHALPY(H2O,T=T_ambient) "specific enthalpy of water vapor in the air prior to combustion"h_bar_H2O_ref=ENTHALPY(H2O,T=T_nat_gas) "specific enthalpy of output water vapor"h_bar_H2O_out=ENTHALPY(H2O,T=T_out) "specific enthalpy of input water vapor"
h_bar_N2_ref=ENTHALPY(N2,T=T_nat_gas) "specific enthalpy of output nitrogen"h_bar_N2_out=ENTHALPY(N2,T=T_out) "specific enthalpy of input nitrogen"h_bar_N2_in=ENTHALPY(N2,T=T_ambient) "specific enthalpy of input nitrogen"
"CALCULATIONS""- - - - - - - - - - -"DELTAh_bar_CH4_r=0 [Btu/lbmol] "difference of enthalpy of methane referencing input temperature"DELTAh_bar_C2H6_r=0 [Btu/lbmol] "difference of enthalpy of ethane referencing input temperature"DELTAh_bar_CO2_r=0 [Btu/lbmol] "difference of enthalpy of input carbon dioxide referencing input temperature"DELTAh_bar_N2_r_fuel=0 [Btu/lbmol] "difference of enthalpy of nitrogen in input air referencing input temperature"DELTAh_bar_N2_r=h_bar_N2_in-h_bar_N2_ref "difference of enthalpy of nitrogen in input air referencing input temperature"DELTAh_bar_H2O_r=h_bar_H2O_in-h_bar_H2O_ref "difference of enthalpy of water vapor in input air referencing input temperature"DELTAh_bar_O2_r=h_bar_O2_in-h_bar_O2_ref "difference of enthalpy of oxygen referencing input temperature"
DELTAh_bar_CO2_p=h_bar_CO2_out-h_bar_CO2_ref "difference of enthalpy of carbon dioxide referencing input temperature"DELTAh_bar_H2O_p=h_bar_H2O_out-h_bar_H2O_ref "difference of enthalpy of water vapor referencing input temperature"DELTAh_bar_N2_p=h_bar_N2_out-h_bar_N2_ref "difference of enthalpy of nitrogen referencing input temperature"
DELTAh_bar_O2_ex=h_bar_O2_out-h_bar_O2_ref "difference of ethalply of oxygen referencing input temperature"
SIGMA_out=n_CO2_p*(h_bar_CO2_form+DELTAh_bar_CO2_p)+(n_H2O+a)*(h_bar_H2O_form+DELTAh_bar_H2O_p)+n_N2_p*(h_bar_N2_form+DELTAh_bar_N2_p)+n_O2_ex*(h_bar_O2_form+DELTAh_bar_O2_ex)
SIGMA_in=n_CH4*(h_bar_CH4_form+DELTAh_bar_CH4_r)+n_C2H6*(h_bar_C2H6_form+DELTAh_bar_C2H6_r)+n_N2_r_fuel*(h_bar_N2_form+DELTAh_bar_N2_r)+n_CO2_r*(h_bar_CO2_form+DELTAh_bar_CO2_r)+n_O2*(h_bar_O2_form+DELTAh_bar_O2_r)+n_N2_r*(h_bar_N2_form+DELTAh_bar_N2_r)+(a)*(h_bar_H2O_form+DELTAh_bar_H2O_r)
Q_dot_cv/n_dot_nat_gas-W_dot_cv/n_dot_nat_gas=SIGMA_out-SIGMA_in "energy balance"
Combustion of Natural Gas- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Assuming:
-ideal gas behavior
-complete combustion
-steady state
-no excess air (will be added later)
-negligible work, kinetic, potential energy
Assumed Composition
95.5% Methane
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2.75% Ethane1% Nitrogen
0.75% Carbon Dioxide
( 0.955(CH4) + 0.0275(C2H6) + 0.01(N2) + 0.0075(CO2) ) + (2.00625+excess)( (O2)+ 3.76(N2) ) + a(H2O(g)) --> 1.0175(CO2)
+ (1.9925+a)(H2O(g)) + (7.5435+(3.76)excess)(N2)+(excess)(O2) + heat
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
GIVEN/ASSUMED
- - - - - - - - - - - -
Qcv = 0 [Btu/hour] set heat transfer to 0 to find adiabatic flame temperature
Wcv = 0 [Btu/hour] negligible work
Tnat,gas = 77 [F] input propane temperature
Tambient = 77 [F] ambient temperature
Pin = 14.7 [lbf/in2] input pressure
Pout = Pin output pressure
flow = 2 [lbm/hour] mass flowrate of propane
molarmassCH4 = 16.04 [lbm/lbmol] molar mass of methane
molarmassCO2 = 44.01 [lbm/lbmol] molar mass of carbon dioxide
molarmassC2H6 = 30.07 [lbm/lbmol] molar mass of ethane
molarmassN2 = 28.01 [lbm/lbmol] molar mass of nitrogen
inputmass = nCH4 · molarmassCH4 + nC2H6 · molarmassC2H6 + nN2,r,fuel · molarmassN2 + nCO2,r · molarmassCO2
nnat,gas = flow
inputmasslbmols of propane per hour
a = 0 humidity ratio prior to combustion
excesspercent = 10 percent of excess combustion air
excesspercent = excess
5 · 100
nnat,gas = 1 lbmol percent propane
nCH4 = 0.955 · nnat,gas lbmol percent methane
nC2H6 = 0.0275 · nnat,gas lbmol percent ethane
nN2,r,fuel = 0.01 · nnat,gas lbmol percent nitrogen fuel input
nCO2,r = 0.0075 · nnat,gas lbmol percent carbon dioxide
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nN2,r = 2.00625 · 3.76 · nnat,gas lbmol percent nitrogen from air
nO2 = 2.00625 + excess · nnat,gas lbmole percent oxygen
nCO2,p = 1.0175 · nnat,gas lbmole percent carbon dioxide
nH2O = 1.9925 · nnat,gas lbmole percent water vapor
nN2,p = 7.5435 + 3.76 · excess · nnat,gas lbmole percent nitrogen product
nO2,ex = excess · nnat,gas lbmole percent of excess oxygen
LOOKUP VALUES
- - - - - - - - - - - -
hCH4,form = h 'CH4' , T = ConvertTemp C , F , 25 [C] enthalpy of formation for methane
hC2H6,form = h 'C2H6' , T = ConvertTemp C , F , 25 [C] enthalpy of formation for ethane
hO2,form = h 'O2' , T = ConvertTemp C , F , 25 [C] enthalpy of formation for oxygen
hCO2,form = h 'CO2' , T = ConvertTemp C , F , 25 [C] enthalpy of formation for carbon dioxide
hH2O,form = h 'H2O' , T = ConvertTemp C , F , 25 [C] enthalpy of formation for water vapor
hN2,form = h 'N2' , T = ConvertTemp C , F , 25 [C] enthalpy of formation for nitrogen
hCO2,ref = h 'CO2' , T = Tambient specific enthalpy of input carbon dioxide
hCO2,out = h 'CO2' , T = Tout specific enthalpy of output carbon dioxide
hO2,in = h 'O2' , T = Tambient specific enthalpy of input oxygen
hO2,ref = h 'O2' , T = Tnat,gas specific enthalpy of output oxygen
hO2,out = h 'O2' , T = Tout specific enthalpy of output excess oxygen
hH2O,in = h 'H2O' , T = Tambient specific enthalpy of water vapor in the air prior to combustion
hH2O,ref = h 'H2O' , T = Tnat,gas specific enthalpy of output water vapor
hH2O,out = h 'H2O' , T = Tout specific enthalpy of input water vapor
hN2,ref = h 'N2' , T = Tnat,gas specific enthalpy of output nitrogen
hN2,out = h 'N2' , T = Tout specific enthalpy of input nitrogen
hN2,in = h 'N2' , T = Tambient specific enthalpy of input nitrogen
CALCULATIONS
- - - - - - - - - - -
hCH4,r = 0 [Btu/lbmol] difference of enthalpy of methane referencing input temperature
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hC2H6,r = 0 [Btu/lbmol] difference of enthalpy of ethane referencing input temperature
hCO2,r = 0 [Btu/lbmol] difference of enthalpy of input carbon dioxide referencing input temperature
hN2,r,fuel = 0 [Btu/lbmol] difference of enthalpy of nitrogen in input air referencing input temperature
hN2,r = hN2,in – hN2,ref difference of enthalpy of nitrogen in input air referencing input temperature
hH2O,r = hH2O,in – hH2O,ref difference of enthalpy of water vapor in input air referencing input temperature
hO2,r = hO2,in – hO2,ref difference of enthalpy of oxygen referencing input temperature
hCO2,p = hCO2,out – hCO2,ref difference of enthalpy of carbon dioxide referencing input temperature
hH2O,p = hH2O,out – hH2O,ref difference of enthalpy of water vapor referencing input temperature
hN2,p = hN2,out – hN2,ref difference of enthalpy of nitrogen referencing input temperature
hO2,ex = hO2,out – hO2,ref difference of ethalply of oxygen referencing input temperature
out = nCO2,p · hCO2,form + hCO2,p + nH2O + a · hH2O,form + hH2O,p + nN2,p · hN2,form + hN2,p
+ nO2,ex · hO2,form + hO2,ex
in = nCH4 · hCH4,form + hCH4,r + nC2H6 · hC2H6,form + hC2H6,r + nN2,r,fuel · hN2,form + hN2,r + nCO2,r
· hCO2,form + hCO2,r + nO2 · hO2,form + hO2,r + nN2,r · hN2,form + hN2,r + a · hH2O,form + hH2O,r
Qcv
nnat,gas
– Wcv
nnat,gas
= out – in energy balance
SOLUTION
Unit Settings: Eng F psia molar dega = 0
hC2H6,r = 0 [Btu/lbmol]
hCH4,r = 0 [Btu/lbmol]
hCO2,p = 39735 [Btu/lbmol]
hCO2,r = 0 [Btu/lbmol]
hH2O,p = 31752 [Btu/lbmol]
hH2O,r = 0 [Btu/lbmol]
hN2,p = 24388 [Btu/lbmol]
hN2,r = 0 [Btu/lbmol]
hN2,r,fuel = 0 [Btu/lbmol]
hO2,ex = 25727 [Btu/lbmol]
hO2,r = 0 [Btu/lbmol]excess = 0.5 excesspercent = 10 flow = 2 [lbm/hour]hC2H6,form = -36047 [Btu/lbmol]hCH4,form = -32070 [Btu/lbmol]hCO2,form = -169169 [Btu/lbmol]hCO2,out = -129433 [Btu/lbmol]hCO2,ref = -169169 [Btu/lbmol]hH2O,form = -103960 [Btu/lbmol]
File:E:\Natural gas combustion with air ver 2.EES 11/29/2012 1:38:52 PM Page 6EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
hH2O,in = -103960 [Btu/lbmol]hH2O,out = -72208 [Btu/lbmol]hH2O,ref = -103960 [Btu/lbmol]hN2,form = 0 [Btu/lbmol]hN2,in = 0 [Btu/lbmol]hN2,out = 24388 [Btu/lbmol]hN2,ref = 0 [Btu/lbmol]hO2,form = 0 [Btu/lbmol]hO2,in = 0 [Btu/lbmol]hO2,out = 25727 [Btu/lbmol]hO2,ref = 0 [Btu/lbmol]inputmass = 16.76 [lbm/lbmol]molarmassC2H6 = 30.07 [lbm/lbmol]molarmassCH4 = 16.04 [lbm/lbmol]molarmassCO2 = 44.01 [lbm/lbmol]molarmassN2 = 28.01 [lbm/lbmol]nC2H6 = 0.0275 nCH4 = 0.955 nCO2,p = 1.018 nCO2,r = 0.0075 nnat,gas = 0.1194 [lbmol/hour]nH2O = 1.993 nN2,p = 9.424 nN2,r = 7.544 nN2,r,fuel = 0.01 nnat,gas = 1 nO2 = 2.506 nO2,ex = 0.5 Pin = 14.7 [lbf/in2]Pout = 14.7 [lbf/in2]Qcv = 0 [Btu/hour]Qcv = 0 [Btu/hour]
in = -32887 [Btu/lbmol]
out = -32887 [Btu/lbmol]Tambient = 77 [F]Tnat,gas = 77 [F]Tout = 3169 [F]Tout = 3169 [F]Wcv = 0 [Btu/hour]
No unit problems were detected.
Appendix E
1 of 4
Equations in parenthesis are from “Introduction to Heat Transfer, Sixth Edition”, equations in brackets are derived. See Appendix A for further nomenclature explanation. Assumptions:
negligible work, kinetic and potential energies
no mass accumulation
2D grill bar broken up into 30 nodes for nodal analysis
grill box sides are treated as isothermal and in direct contact with each bar’s nodes 1 and 30
Explicit transient finite method (unknown nodal temperatures for new times are determined exclusively by known nodal temperatures at the previous time)
constant properties across control surfaces
burner flames treated as 30 rectangular black bodies with two sets of 30 per burner (“An Introduction to Flame Dynamics, Third Edition” Section 2.4.3 – supports the use of visible flames as black bodies)
adiabatic flame temperature ~3600 F (see Appendix C)
grill bar ends are only conducting to the grill box and not to each other
air/combustion products exhibit ideal gas behavior
air escaping same temperature as combustion products
laminar boundary layer given Ra less than 10^12 (see Appendix H)
grill is symmetrical about bar set 3, bar 5
400% excess air (beyond that needed for complete combustion) (see Appendix C) Additional Notes:
all three modes of heat transfer (conduction, convection and radiation) are accounted for
thermodynamic properties obtained through EES
‘Grill Bar Model ver [latest version]’ EES code handles computations, constants, properties
Appendix E
2 of 4
Table E-1. Variable descriptions.
Variable Units Description
ft2 bar node cross-sectional area
ft2 burner flame surface area
ft grill bar diameter
lbf/(s-R) thermal conductivity of air
- total view factor
- Fourier Number (Appendix H)
ft/s2 acceleration due to gravity
Btu/(hr-R-ft2) convection heat transfer coefficient
Btu/(hr-ft-R) thermal conductivity of steel
ft vertical distance from bar to flame
ft total grill bar length
- Prandtl number
Btu/hr heat transfer rate due to convection
Btu/hr heat transfer rate due to radiation
ft grill bar radius
- Rayleigh Number
R air/combustion products temperature
R flame temperature
R bar temperature at time P, node number m, bar set b
ft2/s thermal diffusivity of steel – Appendix H
1/R thermal expansion due to free convection of air
s time step
ft node spacing in x-direction
ft2/s kinematic viscosity of air
Btu/(hr-R4-ft2) Stephen-Boltzman constant
Figure E-1. View factor variable information.
Appendix E
3 of 4
Transient finite-difference – conduction:
[
] ( )
(Equation 5.81)
( ) (Equation 5.80)
Transient finite-difference – conduction and radiation:
[
] ( )
[( ) (
) ] (Equation 13.13)
Combining these equations:
[
[( ) (
) ]
] ( )
Further equations going into the above:
For the view factor for a cylinder (grill bar) and parallel rectangle (assumed shape of
blackbody flame assumption):
[ (
) (
)] (Table 13.1)
A further addition to this model is breaking the parallel rectangle into 30 elements. This allows
for more representative view factors for the bar nodes not near the center of the burner.
Transient finite-difference – conduction, radiation, and convection:
(
)
(Equation 9.23)
(
( (
) )
)
(Equation 9.34)
(Equation 9.24)
Combine equations to find :
(
)
(
( (
)
)
( (
) )
)
( ) (Equation 6.8)
[
( )
] ( )
Appendix E
4 of 4
Combining these equations for the final node temperature after a single time step [1]:
[
[( )
(
) ]
(
( )( )
)
(
(
( )
)
( (
)
)
)
]
( )
For the nodes in contact with the grill box sides (approximately) [2]:
[
[( ) (
) ]
(
( )( )
)
(
(
( )
)
( (
)
)
)
]
( )
Appendix F
1 of 4
Sample Calculation for a single temperature step of a bar node not in contact with the grill box sides using
equation [1] derived in Appendix E:
[
[( )
(
) ]
(
)
(
( (
)
)
( (
)
)
)
]
Where, to allow for easy comparison between radiation and convection terms, simplifying to a set of equations of:
[
]
[3]
[( )
(
) ]
[4]
(
)
(
(
( )
)
( (
)
)
)
[5]
General:
flame temperature
air/combustion products temperature
( [
]) ( [
]) Stefan-Boltzmann constant
[
]
[
] acceleration due to gravity
time step
For this case: total bar length
total bar length
burner width bar node number
bar number
vertical distance from node to flame bar
temperature of node 13, bar 3 (set 2), current time
temperature of node 14, bar 3 (set 2), current time
temperature of node 15, bar 3 (set 2), current time
Geometry: grill bar node spacing distance
(
[
])
burner node spacing distance
(
[
])
(
)
[
] grill bar diameter
grill bar radius
Appendix F
2 of 4
grill bar cross-section
(
[
]) (
) flame surface area (see assumptions)
Thermal Properties (from EES):
[
] thermal conductivity of steel
[
] thermal conductivity of air
Prandtl number for air
[
] density of steel
specific heat capacity of steel
thermal diffusivity of steel
[
]
( [
]) ( [
])
[
]
thermal expansion due to free convection for air
[
]
[
] kinematic viscosity of air
View factor calculations done iteratively in EES (see Appendix T). A sample calculation segment follows for the 14th grill bar node of a set for the first node of the burner:
Fourier number
( [
]) (
[
])
less than 0.5, so 1D modeling acceptable
| | horizontal distance from grill bar to burner
| |
√
view factor long distance, own burner, near
√
view factor short dist, assumes 1” flame block
√ view factor long distance, own burner, far
√
view factor short dist, assumes 1” flame block
Appendix F
3 of 4
√( )
view factor long distance, adjacent burner
√
view factor short dist, assumes 1” flame block
[ (
) (
)](
) view factor for own burner, near
( )
[ (
) (
)](
)
[ (
) (
)](
) view factor for own burner, far
( )
[ (
) (
)](
)
[ (
) (
)](
) view factor for adjacent burner
( )
[ (
) (
)] (
)
total view factor for the single burner node
0.0099+0.0063+0.0049
From “view factors ver 2.EES” file, it was found that the total view factor for this node is 0.116.
Plugging all of these values back in to the original equations:
[( )
(
) ]
[4]
( [
])
( [
]) ( [ ])
(
)
(
(
( )
)
( (
)
)
)
[5]
Appendix F
4 of 4
(
)
(
(( [
])( [
])
( [
]) ( [
])
)
( (
)
)
)
[
]
[3]
( )
Appendix G
1 of 6
Table G-1. Variables used for transient nodal analysis. Variable Value Units Description
Fo 0.109 - Fourier number - APPENDIX H
A 5.33E-04 ft^2 "node" cross-sectional area
A_burn 6.94E-03 ft^2 burner flame surface area
k_steel 12.52 Btu/(hr-ft-R) thermal conductivity
r 1.30E-02 ft grill bar radius
sigma 1.71E-09 Btu/(hr-R^4-ft^2) Stephen-Boltzman constant
delta_x 6.88E-02 ft node spacing in x-direction
L 0.354 ft distance from bar to flame (vert)
T_flame 1600 R flame temperature
Pr 0.684 - Prandtl number
g 32.2 ft/s^2 acceleration due to gravity
Beta 8.0E-04 1/R thermal expansion due to free convection
T_air 1250 R air/combustion products temperature
D 0.026 ft grill bar diameter
nu 6.86E-04 ft^2/s kinematic viscosity
alpha 5.79E-05 ft^2/s thermal diffusivity - APPENDIX H
k_air 6.34E-03 lbf/(s-R) thermal conductivity of air
T_amb 550 R ambient air temperature
T_front 550 R grill box front temperature
T_back 550 R grill box back temperature
The following pages contain the nodal analysis for time steps of 10 seconds.
Appendix G
Bar Set BarF_ij own
Burner On/Off
F_ij far own
Burner On/Off
F_ij next
Burner On/Off
Burner Blocker
F_ij total
NodeTime
[s]0 10 20 30 40 50 60 70 80 90 100 110 120 130 140 150 160 170 180 190 200 210 220 230 240 250 260 270 280 290 300 310 320 330 340 350 360 370 380 390 400 410 420 430 440 450 460 470 480 490 500 510 520 530 540 550 560 570 580 590 600
0.026 0.026 0.023 0.023 0.000 0.000 0.000 0.049 1 550 554 559 564 569 574 580 585 591 597 603 609 615 621 627 633 639 645 652 658 664 670 676 682 689 695 701 707 713 719 725 731 737 744 750 756 762 767 773 779 785 791 797 803 808 814 820 826 831 837 843 848 854 859 865 870 876 881 886 892 8970.029 0.029 0.025 0.025 0.000 0.000 0.000 0.054 2 550 558 566 573 580 587 594 601 607 614 621 627 634 640 647 654 660 667 673 679 686 692 699 705 712 718 724 731 737 743 749 755 762 768 774 780 786 792 798 804 810 816 822 828 834 840 845 851 857 863 868 874 879 885 890 896 901 907 912 918 9230.032 0.032 0.027 0.027 0.000 0.000 0.000 0.059 3 550 558 567 575 583 591 599 607 615 622 630 637 645 652 659 666 674 681 688 695 702 708 715 722 729 736 742 749 755 762 769 775 782 788 794 801 807 813 819 826 832 838 844 850 856 862 868 874 880 885 891 897 903 908 914 920 925 931 936 942 9470.034 0.034 0.029 0.029 0.000 0.000 0.000 0.063 4 550 559 568 576 585 593 602 610 618 627 635 643 651 659 667 674 682 690 697 705 712 719 727 734 741 748 755 762 769 776 783 790 797 804 810 817 823 830 836 843 849 856 862 868 874 881 887 893 899 905 911 917 923 928 934 940 946 951 957 963 9680.036 0.036 0.031 0.031 0.000 0.000 0.000 0.067 5 550 559 568 577 586 595 604 612 621 630 638 646 655 663 671 680 688 696 704 711 719 727 735 742 750 757 765 772 780 787 794 801 808 815 822 829 836 843 850 856 863 870 876 883 889 895 902 908 914 920 927 933 939 945 951 957 962 968 974 980 9850.038 0.038 0.032 0.032 0.000 0.000 0.000 0.070 6 550 559 569 578 587 596 605 614 623 632 640 649 658 666 675 683 692 700 708 716 724 732 740 748 756 764 772 779 787 794 802 809 817 824 831 838 845 852 859 866 873 880 887 894 900 907 913 920 926 933 939 945 951 958 964 970 976 982 988 994 9990.039 0.039 0.033 0.033 0.000 0.000 0.000 0.072 7 550 560 569 578 588 597 606 615 624 633 642 651 660 669 677 686 695 703 712 720 728 736 745 753 761 769 777 784 792 800 808 815 823 830 838 845 852 860 867 874 881 888 895 902 909 915 922 929 935 942 948 955 961 967 974 980 986 992 998 1004 10100.040 0.040 0.034 0.034 0.000 0.000 0.000 0.073 8 550 560 569 579 588 598 607 616 626 635 644 653 662 671 679 688 697 705 714 723 731 739 748 756 764 772 780 788 796 804 812 820 827 835 842 850 857 865 872 879 887 894 901 908 915 922 928 935 942 949 955 962 968 975 981 987 994 1000 1006 1012 10180.040 0.040 0.034 0.034 0.000 0.000 0.000 0.075 9 550 560 569 579 589 598 608 617 626 636 645 654 663 672 681 690 698 707 716 724 733 741 750 758 766 775 783 791 799 807 815 823 830 838 846 853 861 868 876 883 890 898 905 912 919 926 933 940 947 953 960 967 973 980 986 993 999 1005 1011 1018 10240.041 0.041 0.035 0.035 0.000 0.000 0.000 0.075 10 550 560 570 579 589 599 608 618 627 636 645 655 664 673 682 691 700 708 717 726 734 743 751 760 768 776 785 793 801 809 817 825 832 840 848 856 863 871 878 886 893 900 907 915 922 929 936 943 950 956 963 970 976 983 990 996 1002 1009 1015 1021 10270.041 0.041 0.035 0.035 0.000 0.000 0.000 0.076 11 550 560 570 579 589 599 608 618 627 637 646 655 664 673 682 691 700 709 718 726 735 744 752 760 769 777 785 794 802 810 818 826 834 841 849 857 864 872 879 887 894 902 909 916 923 930 937 944 951 958 965 971 978 985 991 998 1004 1010 1017 1023 10290.041 0.041 0.035 0.035 0.000 0.000 0.000 0.076 12 550 560 570 579 589 599 608 618 627 637 646 655 664 673 682 691 700 709 718 726 735 744 752 761 769 777 785 794 802 810 818 826 834 841 849 857 865 872 880 887 894 902 909 916 923 930 937 944 951 958 965 972 978 985 991 998 1004 1011 1017 1023 10290.041 0.041 0.035 0.035 0.000 0.000 0.000 0.076 13 550 560 570 579 589 599 608 618 627 636 646 655 664 673 682 691 700 709 717 726 735 743 752 760 768 777 785 793 801 809 817 825 833 841 848 856 864 871 879 886 893 901 908 915 922 929 936 943 950 957 964 970 977 984 990 997 1003 1009 1016 1022 10280.040 0.040 0.034 0.034 0.000 0.000 0.000 0.075 14 550 560 570 579 589 598 608 617 627 636 645 654 663 672 681 690 699 708 716 725 733 742 750 759 767 775 783 791 800 807 815 823 831 839 846 854 862 869 877 884 891 899 906 913 920 927 934 941 948 954 961 968 974 981 987 994 1000 1007 1013 1019 10250.040 0.040 0.034 0.034 0.000 0.000 0.000 0.074 15 550 560 569 579 588 598 607 617 626 635 644 653 662 671 680 689 697 706 715 723 732 740 748 757 765 773 781 789 797 805 813 821 828 836 844 851 859 866 873 881 888 895 902 909 916 923 930 937 944 950 957 964 970 977 983 989 996 1002 1008 1014 10200.039 0.039 0.033 0.033 0.000 0.000 0.000 0.072 16 550 560 569 579 588 597 606 616 625 634 643 652 661 669 678 687 695 704 712 721 729 737 745 754 762 770 778 786 793 801 809 817 824 832 839 847 854 861 869 876 883 890 897 904 911 918 925 931 938 945 951 958 964 971 977 983 989 996 1002 1008 10140.038 0.038 0.032 0.032 0.000 0.000 0.000 0.070 17 550 559 569 578 587 596 605 614 623 632 641 650 658 667 676 684 692 701 709 717 726 734 742 750 758 766 773 781 789 796 804 812 819 826 834 841 848 855 863 870 877 884 890 897 904 911 917 924 931 937 944 950 956 963 969 975 981 987 993 999 10050.036 0.036 0.031 0.031 0.000 0.000 0.000 0.068 18 550 559 568 577 586 595 604 613 622 630 639 647 656 664 672 681 689 697 705 713 721 729 737 745 753 760 768 775 783 790 798 805 812 820 827 834 841 848 855 862 869 875 882 889 895 902 908 915 921 928 934 940 946 953 959 965 971 977 983 988 9940.035 0.035 0.030 0.030 0.000 0.000 0.000 0.064 19 550 559 568 576 585 594 602 611 619 628 636 644 652 661 669 677 685 692 700 708 716 723 731 739 746 754 761 768 776 783 790 797 804 811 818 825 832 839 845 852 859 865 872 878 885 891 898 904 910 916 922 928 934 940 946 952 958 964 970 975 9810.032 0.032 0.028 0.028 0.000 0.000 0.000 0.060 20 550 559 567 575 584 592 600 608 617 625 633 640 648 656 664 672 679 687 694 702 709 717 724 731 739 746 753 760 767 774 781 788 794 801 808 815 821 828 834 841 847 853 860 866 872 878 885 891 897 903 909 914 920 926 932 938 943 949 954 960 9650.030 0.030 0.026 0.026 0.000 0.000 0.000 0.055 21 550 558 566 574 582 590 598 606 613 621 629 636 644 651 659 666 673 681 688 695 702 709 716 723 730 737 744 750 757 764 770 777 783 790 796 803 809 815 822 828 834 840 846 852 858 864 870 876 881 887 893 899 904 910 915 921 926 932 937 942 9480.027 0.027 0.023 0.023 0.000 0.000 0.000 0.050 22 550 558 565 573 580 588 595 603 610 617 624 631 639 646 653 660 667 673 680 687 694 701 707 714 720 727 733 740 746 752 759 765 771 777 783 790 796 802 808 813 819 825 831 837 842 848 854 859 865 870 876 881 887 892 897 902 908 913 918 923 9280.024 0.024 0.021 0.021 0.000 0.000 0.000 0.044 23 550 557 564 571 578 585 592 599 606 613 620 627 633 640 646 653 660 666 673 679 685 692 698 704 710 716 723 729 735 741 747 753 758 764 770 776 782 787 793 798 804 810 815 820 826 831 837 842 847 852 858 863 868 873 878 883 888 893 898 903 9070.021 0.021 0.018 0.018 0.000 0.000 0.000 0.039 24 550 557 563 570 577 583 590 596 602 609 615 622 628 634 640 646 653 659 665 671 677 683 689 694 700 706 712 717 723 729 734 740 745 751 756 762 767 772 778 783 788 793 799 804 809 814 819 824 829 834 839 844 848 853 858 863 867 872 877 881 8860.018 0.018 0.016 0.016 0.000 0.000 0.000 0.034 25 550 556 562 569 575 581 587 593 599 605 611 617 623 629 634 640 646 651 657 663 668 674 679 685 690 696 701 706 712 717 722 727 733 738 743 748 753 758 763 768 773 777 782 787 792 797 801 806 811 815 820 824 829 833 838 842 847 851 855 860 8640.015 0.015 0.014 0.014 0.000 0.000 0.000 0.029 26 550 556 562 567 573 579 585 590 596 601 607 612 618 623 629 634 639 645 650 655 660 665 671 676 681 686 691 696 700 705 710 715 720 724 729 734 738 743 748 752 757 761 766 770 775 779 783 788 792 796 801 805 809 813 818 822 826 830 834 838 8420.013 0.013 0.012 0.012 0.000 0.000 0.000 0.025 27 550 555 561 566 572 577 582 588 593 598 603 608 613 618 623 628 633 638 643 647 652 657 661 666 671 675 680 684 689 693 697 702 706 711 715 719 723 728 732 736 740 745 749 753 757 761 765 769 773 777 781 785 789 793 797 801 805 809 812 816 8200.011 0.011 0.010 0.010 0.000 0.000 0.000 0.021 28 550 555 560 565 570 575 580 585 590 594 599 603 608 612 617 621 625 629 634 638 642 646 650 655 659 663 667 671 675 679 683 687 691 695 699 703 707 711 715 719 723 726 730 734 738 742 746 749 753 757 761 764 768 772 775 779 783 786 790 794 7970.010 0.010 0.009 0.009 0.000 0.000 0.000 0.018 29 550 555 559 564 568 572 576 580 583 587 591 595 598 602 606 610 613 617 621 624 628 632 636 639 643 647 651 654 658 662 665 669 673 676 680 684 688 691 695 699 702 706 709 713 717 720 724 727 731 735 738 742 745 749 752 756 759 763 766 770 7730.008 0.008 0.008 0.008 0.000 0.000 0.000 0.016 30 550 551 553 555 558 560 563 565 568 571 574 578 581 584 587 591 594 597 601 604 608 611 615 618 622 625 629 632 636 639 643 646 650 653 657 661 664 668 671 675 678 682 685 689 692 696 700 703 707 710 714 717 720 724 727 731 734 738 741 745 7480.025 0.025 0.021 0.021 0.000 0.000 0.000 0.046 1 550 554 558 563 568 573 578 583 589 594 600 606 612 617 623 629 635 641 647 652 658 664 670 676 682 688 694 700 705 711 717 723 729 734 740 746 752 757 763 769 774 780 786 791 797 802 808 813 819 824 829 835 840 845 851 856 861 866 871 877 8820.028 0.028 0.023 0.023 0.000 0.000 0.000 0.050 2 550 558 565 572 579 585 592 598 605 611 618 624 630 637 643 649 655 661 668 674 680 686 692 698 704 711 717 723 729 735 741 747 752 758 764 770 776 782 787 793 799 805 810 816 821 827 833 838 844 849 854 860 865 871 876 881 886 892 897 902 9070.030 0.030 0.025 0.025 0.000 0.000 0.000 0.055 3 550 558 566 574 582 590 597 605 612 619 626 634 641 648 655 661 668 675 682 688 695 702 708 715 721 728 734 740 747 753 759 765 772 778 784 790 796 802 808 814 820 826 831 837 843 849 854 860 866 871 877 882 888 893 899 904 909 915 920 925 9310.032 0.032 0.026 0.026 0.000 0.000 0.000 0.059 4 550 558 567 575 583 591 600 608 615 623 631 639 646 654 662 669 676 684 691 698 705 712 719 726 733 740 747 753 760 767 773 780 786 793 799 805 812 818 824 830 836 843 849 855 861 867 872 878 884 890 896 901 907 912 918 924 929 935 940 945 9510.034 0.034 0.028 0.028 0.000 0.000 0.000 0.062 5 550 559 567 576 584 593 601 610 618 626 634 642 650 658 666 674 682 689 697 704 712 719 727 734 741 748 755 762 769 776 783 790 797 804 810 817 824 830 837 843 849 856 862 868 874 881 887 893 899 905 911 916 922 928 934 939 945 951 956 962 9670.036 0.036 0.029 0.029 0.000 0.000 0.000 0.065 6 550 559 568 577 585 594 603 611 620 628 636 645 653 661 669 677 685 693 701 709 717 724 732 739 747 754 762 769 776 784 791 798 805 812 819 826 832 839 846 853 859 866 872 879 885 891 898 904 910 916 922 928 934 940 946 952 958 963 969 975 9800.037 0.037 0.030 0.030 0.000 0.000 0.000 0.067 7 550 559 568 577 586 595 604 612 621 630 638 647 655 663 672 680 688 696 704 712 720 728 736 744 751 759 766 774 781 789 796 803 811 818 825 832 839 846 853 860 866 873 880 886 893 899 906 912 919 925 931 937 943 949 956 961 967 973 979 985 9910.038 0.038 0.031 0.031 0.000 0.000 0.000 0.068 8 550 559 568 577 587 596 604 613 622 631 639 648 657 665 673 682 690 698 707 715 723 731 739 747 754 762 770 778 785 793 800 807 815 822 829 837 844 851 858 865 872 878 885 892 899 905 912 918 925 931 938 944 950 956 962 969 975 981 987 992 9980.038 0.038 0.031 0.031 0.000 0.000 0.000 0.069 9 550 559 569 578 587 596 605 614 623 632 640 649 658 666 675 683 692 700 708 716 725 733 741 749 757 764 772 780 788 795 803 810 818 825 833 840 847 854 861 868 875 882 889 896 903 909 916 923 929 936 942 949 955 961 967 974 980 986 992 998 10040.039 0.039 0.032 0.032 0.000 0.000 0.000 0.070 10 550 559 569 578 587 596 605 614 623 632 641 650 658 667 676 684 693 701 709 718 726 734 742 750 758 766 774 782 789 797 805 812 820 827 835 842 849 856 864 871 878 885 892 899 905 912 919 925 932 939 945 952 958 964 971 977 983 989 995 1001 10070.039 0.039 0.032 0.032 0.000 0.000 0.000 0.070 11 550 559 569 578 587 596 606 615 624 633 641 650 659 668 676 685 693 702 710 718 726 735 743 751 759 767 775 783 790 798 806 813 821 828 836 843 850 858 865 872 879 886 893 900 907 913 920 927 934 940 947 953 960 966 972 978 985 991 997 1003 10090.039 0.039 0.032 0.032 0.000 0.000 0.000 0.071 12 550 559 569 578 587 596 606 615 624 633 641 650 659 668 676 685 693 702 710 718 727 735 743 751 759 767 775 783 790 798 806 813 821 828 836 843 850 858 865 872 879 886 893 900 907 914 920 927 934 940 947 953 960 966 972 979 985 991 997 1003 10090.039 0.039 0.032 0.032 0.000 0.000 0.000 0.070 13 550 559 569 578 587 596 605 614 623 632 641 650 659 667 676 684 693 701 710 718 726 734 742 750 758 766 774 782 790 797 805 813 820 828 835 842 850 857 864 871 878 885 892 899 906 913 919 926 933 939 946 952 959 965 971 977 984 990 996 1002 10080.038 0.038 0.031 0.031 0.000 0.000 0.000 0.070 14 550 559 569 578 587 596 605 614 623 632 641 649 658 667 675 684 692 700 709 717 725 733 741 749 757 765 773 781 788 796 803 811 818 826 833 840 848 855 862 869 876 883 890 897 904 910 917 924 930 937 943 950 956 962 969 975 981 987 993 999 10050.038 0.038 0.031 0.031 0.000 0.000 0.000 0.069 15 550 559 568 578 587 596 605 613 622 631 640 648 657 665 674 682 691 699 707 715 723 731 739 747 755 763 771 778 786 793 801 808 816 823 830 838 845 852 859 866 873 880 887 893 900 907 913 920 926 933 939 946 952 958 964 971 977 983 989 995 10010.037 0.037 0.030 0.030 0.000 0.000 0.000 0.067 16 550 559 568 577 586 595 604 613 621 630 638 647 655 664 672 680 689 697 705 713 721 729 737 744 752 760 768 775 783 790 797 805 812 819 826 834 841 848 855 862 868 875 882 889 895 902 908 915 921 928 934 940 946 953 959 965 971 977 983 989 9940.036 0.036 0.029 0.029 0.000 0.000 0.000 0.065 17 550 559 568 577 585 594 603 611 620 628 637 645 654 662 670 678 686 694 702 710 718 725 733 741 748 756 763 771 778 786 793 800 807 814 821 828 835 842 849 856 862 869 876 882 889 895 902 908 914 921 927 933 939 945 951 957 963 969 975 980 9860.035 0.035 0.028 0.028 0.000 0.000 0.000 0.063 18 550 559 567 576 585 593 602 610 618 627 635 643 651 659 667 675 683 691 698 706 714 721 729 736 744 751 758 766 773 780 787 794 801 808 815 822 828 835 842 848 855 862 868 874 881 887 893 900 906 912 918 924 930 936 942 948 953 959 965 970 9760.033 0.033 0.027 0.027 0.000 0.000 0.000 0.060 19 550 558 567 575 584 592 600 608 616 624 632 640 648 656 663 671 679 686 694 701 709 716 723 731 738 745 752 759 766 773 780 787 793 800 807 814 820 827 833 840 846 852 859 865 871 877 883 889 895 901 907 913 919 925 930 936 942 947 953 958 9640.031 0.031 0.025 0.025 0.000 0.000 0.000 0.056 20 550 558 566 574 582 590 598 606 614 621 629 637 644 652 659 667 674 681 688 696 703 710 717 724 731 738 745 751 758 765 771 778 785 791 798 804 810 817 823 829 835 841 847 853 859 865 871 877 883 889 895 900 906 911 917 922 928 933 939 944 9490.028 0.028 0.023 0.023 0.000 0.000 0.000 0.052 21 550 558 566 573 581 588 596 603 611 618 626 633 640 647 654 661 668 675 682 689 696 703 710 716 723 730 736 743 749 755 762 768 774 781 787 793 799 805 811 817 823 829 835 841 846 852 858 863 869 875 880 886 891 896 902 907 912 918 923 928 9330.026 0.026 0.021 0.021 0.000 0.000 0.000 0.047 22 550 557 565 572 579 586 594 601 608 615 622 629 635 642 649 656 662 669 676 682 689 695 702 708 714 721 727 733 739 745 751 757 763 769 775 781 787 793 798 804 810 815 821 827 832 838 843 848 854 859 864 870 875 880 885 890 895 900 905 910 9150.023 0.023 0.019 0.019 0.000 0.000 0.000 0.042 23 550 557 564 571 578 584 591 598 604 611 617 624 630 637 643 650 656 662 669 675 681 687 693 699 705 711 717 723 729 735 740 746 752 757 763 769 774 780 785 790 796 801 807 812 817 822 827 833 838 843 848 853 858 863 868 872 877 882 887 891 8960.020 0.020 0.017 0.017 0.000 0.000 0.000 0.037 24 550 557 563 569 576 582 588 595 601 607 613 620 626 632 638 644 650 656 661 667 673 679 685 690 696 702 707 713 718 724 729 734 740 745 750 756 761 766 771 776 781 787 792 797 801 806 811 816 821 826 831 835 840 845 849 854 858 863 867 872 8760.017 0.017 0.015 0.015 0.000 0.000 0.000 0.032 25 550 556 562 568 574 580 586 592 598 604 609 615 621 627 632 638 643 649 655 660 665 671 676 682 687 692 697 703 708 713 718 723 728 733 738 743 748 753 757 762 767 772 776 781 786 790 795 800 804 809 813 817 822 826 831 835 839 844 848 852 8560.015 0.015 0.013 0.013 0.000 0.000 0.000 0.028 26 550 556 561 567 573 578 584 589 595 600 606 611 617 622 627 632 638 643 648 653 658 663 668 673 678 683 688 692 697 702 707 711 716 721 725 730 734 739 743 748 752 757 761 765 770 774 778 783 787 791 795 799 804 808 812 816 820 824 828 832 8360.013 0.013 0.011 0.011 0.000 0.000 0.000 0.024 27 550 555 561 566 571 577 582 587 592 597 602 607 612 617 622 627 632 636 641 646 650 655 659 664 669 673 677 682 686 691 695 699 703 708 712 716 720 725 729 733 737 741 745 749 753 757 761 765 769 773 777 781 785 788 792 796 800 804 807 811 8150.011 0.011 0.010 0.010 0.000 0.000 0.000 0.021 28 550 555 560 565 570 575 580 584 589 594 598 603 607 611 616 620 624 628 633 637 641 645 649 653 657 661 665 669 673 677 681 685 689 693 697 701 705 708 712 716 720 724 727 731 735 739 742 746 750 754 757 761 764 768 772 775 779 782 786 790 7930.009 0.009 0.009 0.009 0.000 0.000 0.000 0.018 29 550 555 559 564 568 572 575 579 583 587 590 594 598 601 605 609 613 616 620 624 627 631 635 638 642 646 649 653 657 660 664 667 671 675 678 682 686 689 693 696 700 704 707 711 714 718 721 725 728 732 735 739 742 746 749 753 756 760 763 767 7700.008 0.008 0.008 0.008 0.000 0.000 0.000 0.016 30 550 551 553 555 557 560 562 565 568 571 574 577 580 583 587 590 593 597 600 603 607 610 614 617 620 624 627 631 634 638 641 645 648 652 655 659 662 666 669 673 676 680 683 687 690 694 697 701 704 708 711 714 718 721 725 728 731 735 738 742 7450.023 0.023 0.019 0.019 0.000 0.000 0.000 0.042 1 550 554 558 562 566 571 576 581 586 591 597 602 607 613 618 624 629 635 640 646 651 657 662 668 673 679 684 690 695 701 706 712 717 723 728 734 739 744 750 755 760 766 771 776 781 787 792 797 802 807 812 817 822 827 832 837 842 847 852 857 8620.025 0.025 0.020 0.020 0.000 0.000 0.000 0.046 2 550 557 564 571 577 583 590 596 602 608 614 620 626 631 637 643 649 655 661 667 672 678 684 690 695 701 707 712 718 724 729 735 740 746 752 757 763 768 773 779 784 790 795 800 806 811 816 821 827 832 837 842 847 852 857 862 867 872 877 882 8870.028 0.028 0.022 0.022 0.000 0.000 0.000 0.050 3 550 558 565 573 580 587 594 602 608 615 622 629 636 642 649 655 662 668 674 681 687 693 699 705 711 717 723 729 735 741 747 753 759 765 770 776 782 787 793 799 804 810 815 821 826 832 837 842 848 853 858 863 869 874 879 884 889 894 899 904 9090.030 0.030 0.024 0.024 0.000 0.000 0.000 0.053 4 550 558 566 574 581 589 597 604 612 619 626 634 641 648 655 662 669 676 683 689 696 703 709 716 722 729 735 742 748 754 760 766 773 779 785 791 797 802 808 814 820 826 831 837 843 848 854 859 865 870 876 881 887 892 897 902 908 913 918 923 9280.031 0.031 0.025 0.025 0.000 0.000 0.000 0.056 5 550 558 566 574 582 590 598 606 614 621 629 637 644 652 659 666 674 681 688 695 702 709 716 723 730 737 743 750 757 763 770 776 783 789 795 801 808 814 820 826 832 838 844 850 856 861 867 873 879 884 890 895 901 906 912 917 923 928 933 938 9440.032 0.032 0.026 0.026 0.000 0.000 0.000 0.058 6 550 558 567 575 583 591 599 607 615 623 631 639 647 654 662 670 677 685 692 699 707 714 721 728 735 742 749 756 763 770 776 783 790 796 803 809 816 822 828 835 841 847 853 859 865 871 877 883 889 895 901 906 912 918 923 929 934 940 945 951 9560.034 0.034 0.027 0.027 0.000 0.000 0.000 0.060 7 550 559 567 575 584 592 600 609 617 625 633 641 649 656 664 672 680 687 695 702 710 717 725 732 739 746 753 760 768 774 781 788 795 802 809 815 822 828 835 841 848 854 860 867 873 879 885 891 897 903 909 915 921 926 932 938 943 949 955 960 9650.034 0.034 0.027 0.027 0.000 0.000 0.000 0.062 8 550 559 567 576 584 593 601 609 618 626 634 642 650 658 666 674 682 689 697 705 712 720 727 735 742 749 757 764 771 778 785 792 799 806 813 819 826 833 839 846 853 859 865 872 878 884 891 897 903 909 915 921 927 933 939 944 950 956 961 967 9730.035 0.035 0.028 0.028 0.000 0.000 0.000 0.063 9 550 559 567 576 585 593 602 610 618 627 635 643 651 659 667 675 683 691 699 706 714 722 729 737 744 751 759 766 773 780 788 795 802 809 816 822 829 836 843 849 856 862 869 875 882 888 894 901 907 913 919 925 931 937 943 949 955 961 966 972 9780.035 0.035 0.028 0.028 0.000 0.000 0.000 0.063 10 550 559 568 576 585 593 602 610 619 627 635 644 652 660 668 676 684 692 700 707 715 723 730 738 745 753 760 768 775 782 789 796 803 810 817 824 831 838 845 851 858 865 871 878 884 891 897 903 910 916 922 928 934 940 946 952 958 964 969 975 9810.035 0.035 0.028 0.028 0.000 0.000 0.000 0.064 11 550 559 568 576 585 594 602 611 619 627 636 644 652 660 668 676 684 692 700 708 716 723 731 739 746 754 761 768 776 783 790 797 804 811 818 825 832 839 846 853 859 866 872 879 885 892 898 905 911 917 923 929 936 942 948 953 959 965 971 977 9820.035 0.035 0.028 0.028 0.000 0.000 0.000 0.064 12 550 559 568 576 585 594 602 611 619 627 636 644 652 660 668 676 684 692 700 708 716 723 731 739 746 754 761 768 776 783 790 797 804 812 819 825 832 839 846 853 859 866 873 879 886 892 898 905 911 917 923 930 936 942 948 954 960 965 971 977 9830.035 0.035 0.028 0.028 0.000 0.000 0.000 0.063 13 550 559 568 576 585 593 602 610 619 627 636 644 652 660 668 676 684 692 700 708 715 723 731 738 746 753 760 768 775 782 790 797 804 811 818 825 832 838 845 852 859 865 872 878 885 891 897 904 910 916 922 929 935 941 947 953 958 964 970 976 9810.035 0.035 0.028 0.028 0.000 0.000 0.000 0.063 14 550 559 567 576 585 593 602 610 618 627 635 643 651 659 667 675 683 691 699 707 714 722 729 737 744 752 759 767 774 781 788 795 802 809 816 823 830 837 843 850 857 863 870 876 883 889 895 902 908 914 920 926 932 938 944 950 956 962 968 973 9790.034 0.034 0.027 0.027 0.000 0.000 0.000 0.062 15 550 559 567 576 584 593 601 610 618 626 634 642 650 658 666 674 682 690 697 705 713 720 728 735 743 750 757 764 772 779 786 793 800 807 814 820 827 834 841 847 854 860 867 873 879 886 892 898 904 911 917 923 929 935 940 946 952 958 964 969 9750.034 0.034 0.027 0.027 0.000 0.000 0.000 0.061 16 550 559 567 576 584 592 601 609 617 625 633 641 649 657 665 672 680 688 695 703 711 718 725 733 740 747 754 762 769 776 783 790 796 803 810 817 823 830 837 843 850 856 862 869 875 881 887 894 900 906 912 918 924 929 935 941 947 952 958 964 9690.033 0.033 0.026 0.026 0.000 0.000 0.000 0.059 17 550 558 567 575 583 592 600 608 616 624 632 639 647 655 663 670 678 685 693 700 708 715 722 729 737 744 751 758 765 772 778 785 792 799 805 812 818 825 831 838 844 851 857 863 869 875 881 887 893 899 905 911 917 923 928 934 940 945 951 956 9620.032 0.032 0.025 0.025 0.000 0.000 0.000 0.057 18 550 558 566 575 583 591 599 606 614 622 630 637 645 653 660 668 675 682 690 697 704 711 718 725 732 739 746 753 760 766 773 780 786 793 799 806 812 819 825 831 838 844 850 856 862 868 874 880 886 891 897 903 909 914 920 925 931 936 942 947 9530.030 0.030 0.024 0.024 0.000 0.000 0.000 0.054 19 550 558 566 574 582 589 597 605 612 620 627 635 642 650 657 664 671 678 686 693 700 707 713 720 727 734 741 747 754 760 767 773 780 786 792 799 805 811 817 823 829 835 841 847 853 859 865 871 876 882 888 893 899 904 910 915 920 926 931 936 9420.028 0.028 0.023 0.023 0.000 0.000 0.000 0.051 20 550 558 565 573 581 588 595 603 610 617 625 632 639 646 653 660 667 674 681 688 694 701 708 714 721 727 734 740 747 753 759 766 772 778 784 790 796 802 808 814 820 826 832 837 843 849 854 860 865 871 876 882 887 892 898 903 908 913 919 924 9290.026 0.026 0.021 0.021 0.000 0.000 0.000 0.047 21 550 557 565 572 579 586 594 601 608 615 622 628 635 642 649 656 662 669 675 682 688 695 701 708 714 720 726 733 739 745 751 757 763 769 775 781 786 792 798 804 809 815 820 826 832 837 842 848 853 858 864 869 874 879 884 889 895 900 904 909 9140.024 0.024 0.019 0.019 0.000 0.000 0.000 0.043 22 550 557 564 571 578 585 591 598 605 612 618 625 631 638 644 651 657 663 670 676 682 688 694 700 706 712 718 724 730 736 742 748 753 759 765 770 776 781 787 792 798 803 808 814 819 824 829 835 840 845 850 855 860 865 870 875 879 884 889 894 8990.021 0.021 0.017 0.017 0.000 0.000 0.000 0.038 23 550 557 563 570 576 583 589 596 602 608 615 621 627 633 639 645 651 657 663 669 675 681 687 693 698 704 710 715 721 727 732 738 743 748 754 759 765 770 775 780 785 791 796 801 806 811 816 821 825 830 835 840 845 849 854 859 863 868 873 877 8820.018 0.018 0.015 0.015 0.000 0.000 0.000 0.034 24 550 556 562 569 575 581 587 593 599 605 611 617 623 629 634 640 646 652 657 663 668 674 679 685 690 696 701 707 712 717 722 728 733 738 743 748 753 758 763 768 773 778 782 787 792 797 801 806 811 815 820 825 829 834 838 842 847 851 856 860 8640.016 0.016 0.014 0.014 0.000 0.000 0.000 0.030 25 550 556 562 568 573 579 585 591 596 602 608 613 619 624 630 635 640 646 651 656 662 667 672 677 682 688 693 698 703 708 712 717 722 727 732 737 741 746 751 755 760 765 769 774 778 783 787 791 796 800 804 809 813 817 821 826 830 834 838 842 8460.014 0.014 0.012 0.012 0.000 0.000 0.000 0.026 26 550 556 561 567 572 578 583 588 594 599 604 610 615 620 625 630 635 640 645 650 655 660 665 670 674 679 684 689 693 698 702 707 712 716 721 725 729 734 738 742 747 751 755 759 764 768 772 776 780 784 788 792 796 800 804 808 812 816 820 824 8280.012 0.012 0.011 0.011 0.000 0.000 0.000 0.023 27 550 555 561 566 571 576 581 586 591 596 601 606 611 616 620 625 630 634 639 644 648 653 657 661 666 670 675 679 683 687 692 696 700 704 708 712 716 720 725 729 733 737 740 744 748 752 756 760 764 768 771 775 779 783 786 790 794 797 801 805 8080.010 0.010 0.009 0.009 0.000 0.000 0.000 0.020 28 550 555 560 565 570 575 579 584 588 593 597 602 606 610 614 619 623 627 631 635 639 643 647 651 655 659 663 667 671 675 679 682 686 690 694 698 701 705 709 713 716 720 724 727 731 735 738 742 746 749 753 756 760 763 767 770 774 777 781 784 7880.009 0.009 0.008 0.008 0.000 0.000 0.000 0.017 29 550 555 559 563 567 571 575 579 582 586 590 593 597 601 604 608 611 615 619 622 626 629 633 637 640 644 647 651 655 658 662 665 669 672 676 680 683 687 690 694 697 701 704 708 711 715 718 722 725 728 732 735 739 742 745 749 752 756 759 762 7660.008 0.008 0.007 0.007 0.000 0.000 0.000 0.015 30 550 551 553 555 557 560 562 565 568 571 573 577 580 583 586 589 592 596 599 602 606 609 612 616 619 623 626 629 633 636 640 643 647 650 653 657 660 664 667 671 674 677 681 684 688 691 694 698 701 705 708 711 715 718 721 725 728 731 734 738 7410.021 0.021 0.017 0.017 0.000 0.000 0.000 0.037 1 550 553 557 561 565 569 574 578 583 588 593 598 603 608 613 618 623 628 633 638 643 649 654 659 664 669 674 679 685 690 695 700 705 710 715 720 725 730 735 740 745 750 755 760 765 770 775 780 784 789 794 799 803 808 813 817 822 827 831 836 8400.023 0.023 0.018 0.018 0.000 0.000 0.000 0.041 2 550 557 563 569 575 581 587 593 598 604 610 615 621 626 632 637 642 648 653 659 664 669 675 680 686 691 696 701 707 712 717 722 728 733 738 743 748 753 758 764 769 774 779 784 788 793 798 803 808 813 818 823 827 832 837 841 846 851 855 860 8650.025 0.025 0.020 0.020 0.000 0.000 0.000 0.044 3 550 557 564 571 578 585 592 598 605 611 618 624 630 636 642 648 654 660 666 672 678 684 689 695 701 706 712 718 723 729 734 740 745 750 756 761 767 772 777 782 788 793 798 803 808 813 818 823 828 833 838 843 848 853 857 862 867 872 876 881 8860.026 0.026 0.021 0.021 0.000 0.000 0.000 0.047 4 550 557 565 572 579 586 594 601 608 615 621 628 635 642 648 655 661 668 674 680 686 693 699 705 711 717 723 729 735 741 746 752 758 764 769 775 780 786 791 797 802 808 813 818 824 829 834 839 844 849 855 860 865 870 875 879 884 889 894 899 9040.028 0.028 0.022 0.022 0.000 0.000 0.000 0.050 5 550 558 565 573 580 588 595 602 609 617 624 631 638 645 652 659 665 672 679 685 692 699 705 711 718 724 730 737 743 749 755 761 767 773 779 785 790 796 802 808 813 819 824 830 835 841 846 852 857 862 868 873 878 883 888 893 898 903 908 913 9180.029 0.029 0.023 0.023 0.000 0.000 0.000 0.052 6 550 558 566 573 581 588 596 603 611 618 626 633 640 647 654 661 668 675 682 689 696 703 709 716 723 729 736 742 748 755 761 767 774 780 786 792 798 804 810 816 821 827 833 839 844 850 856 861 867 872 877 883 888 893 899 904 909 914 919 924 9290.030 0.030 0.023 0.023 0.000 0.000 0.000 0.053 7 550 558 566 574 581 589 597 604 612 619 627 634 642 649 656 663 671 678 685 692 699 706 712 719 726 733 739 746 753 759 766 772 778 785 791 797 803 809 815 821 827 833 839 845 851 857 862 868 874 879 885 890 896 901 907 912 917 923 928 933 9380.031 0.031 0.024 0.024 0.000 0.000 0.000 0.055 8 550 558 566 574 582 590 597 605 613 620 628 636 643 650 658 665 672 680 687 694 701 708 715 722 729 735 742 749 756 762 769 775 782 788 795 801 807 813 820 826 832 838 844 850 856 862 867 873 879 885 890 896 902 907 913 918 923 929 934 939 9450.031 0.031 0.024 0.024 0.000 0.000 0.000 0.055 9 550 558 566 574 582 590 598 606 613 621 629 636 644 651 659 666 674 681 688 695 702 710 717 724 730 737 744 751 758 764 771 778 784 791 797 804 810 816 823 829 835 841 847 853 859 865 871 877 883 888 894 900 906 911 917 922 928 933 938 944 9490.031 0.031 0.025 0.025 0.000 0.000 0.000 0.056 10 550 558 566 574 582 590 598 606 614 622 629 637 645 652 660 667 674 682 689 696 703 711 718 725 732 739 746 752 759 766 773 779 786 792 799 805 812 818 824 831 837 843 849 855 861 867 873 879 885 891 897 902 908 914 919 925 930 936 941 947 9520.032 0.032 0.025 0.025 0.000 0.000 0.000 0.056 11 550 558 566 574 582 590 598 606 614 622 630 637 645 652 660 667 675 682 690 697 704 711 718 725 732 739 746 753 760 767 773 780 787 793 800 806 813 819 825 832 838 844 850 856 862 869 874 880 886 892 898 904 909 915 921 926 932 937 943 948 9540.032 0.032 0.025 0.025 0.000 0.000 0.000 0.056 12 550 558 566 574 583 590 598 606 614 622 630 637 645 653 660 667 675 682 690 697 704 711 718 725 732 739 746 753 760 767 773 780 787 793 800 806 813 819 826 832 838 844 850 857 863 869 875 881 886 892 898 904 910 915 921 926 932 938 943 948 9540.031 0.031 0.025 0.025 0.000 0.000 0.000 0.056 13 550 558 566 574 582 590 598 606 614 622 629 637 645 652 660 667 675 682 689 696 704 711 718 725 732 739 746 753 759 766 773 779 786 793 799 806 812 818 825 831 837 843 850 856 862 868 874 880 886 891 897 903 909 914 920 925 931 937 942 947 9530.031 0.031 0.024 0.024 0.000 0.000 0.000 0.056 14 550 558 566 574 582 590 598 606 614 621 629 637 644 652 659 666 674 681 688 696 703 710 717 724 731 738 745 751 758 765 772 778 785 791 798 804 811 817 823 829 836 842 848 854 860 866 872 878 884 889 895 901 907 912 918 923 929 934 940 945 9500.031 0.031 0.024 0.024 0.000 0.000 0.000 0.055 15 550 558 566 574 582 590 598 605 613 621 628 636 643 651 658 665 673 680 687 694 701 708 715 722 729 736 743 750 756 763 769 776 783 789 795 802 808 814 821 827 833 839 845 851 857 863 869 875 880 886 892 898 903 909 914 920 925 931 936 941 9470.030 0.030 0.024 0.024 0.000 0.000 0.000 0.054 16 550 558 566 574 582 589 597 605 612 620 627 635 642 649 657 664 671 678 685 692 699 706 713 720 727 734 740 747 754 760 767 773 780 786 792 799 805 811 817 823 829 835 841 847 853 859 865 870 876 882 888 893 899 904 910 915 920 926 931 936 9420.029 0.029 0.023 0.023 0.000 0.000 0.000 0.052 17 550 558 566 573 581 589 596 604 611 619 626 633 641 648 655 662 669 676 683 690 697 704 710 717 724 730 737 744 750 757 763 769 776 782 788 794 800 806 813 819 825 830 836 842 848 854 859 865 871 876 882 887 893 898 904 909 914 920 925 930 9350.028 0.028 0.022 0.022 0.000 0.000 0.000 0.050 18 550 558 565 573 580 588 595 603 610 617 624 631 639 646 653 660 666 673 680 687 694 700 707 714 720 727 733 739 746 752 758 765 771 777 783 789 795 801 807 813 819 824 830 836 842 847 853 858 864 869 875 880 886 891 896 901 907 912 917 922 9270.027 0.027 0.021 0.021 0.000 0.000 0.000 0.048 19 550 557 565 572 580 587 594 601 608 615 622 629 636 643 650 657 663 670 677 683 690 696 703 709 716 722 728 734 741 747 753 759 765 771 777 783 789 794 800 806 812 817 823 828 834 839 845 850 856 861 866 872 877 882 887 892 897 902 908 912 9170.025 0.025 0.020 0.020 0.000 0.000 0.000 0.045 20 550 557 564 571 579 586 593 599 606 613 620 627 633 640 647 653 660 666 673 679 685 692 698 704 710 716 723 729 735 741 746 752 758 764 770 775 781 787 792 798 803 809 814 820 825 831 836 841 846 852 857 862 867 872 877 882 887 892 897 902 9060.023 0.023 0.018 0.018 0.000 0.000 0.000 0.042 21 550 557 564 571 577 584 591 598 604 611 617 624 630 637 643 649 656 662 668 674 680 686 692 698 704 710 716 722 728 734 739 745 751 756 762 767 773 778 784 789 794 800 805 810 815 821 826 831 836 841 846 851 856 861 865 870 875 880 885 889 8940.021 0.021 0.017 0.017 0.000 0.000 0.000 0.038 22 550 557 563 570 576 583 589 596 602 608 614 621 627 633 639 645 651 657 663 669 675 681 686 692 698 704 709 715 720 726 731 737 742 748 753 758 764 769 774 779 784 790 795 800 805 810 815 820 824 829 834 839 844 848 853 858 862 867 871 876 8800.019 0.019 0.015 0.015 0.000 0.000 0.000 0.035 23 550 556 563 569 575 581 587 593 599 605 611 617 623 629 635 641 646 652 658 664 669 675 680 686 691 697 702 707 713 718 723 729 734 739 744 749 754 759 764 769 774 779 784 789 793 798 803 808 812 817 822 826 831 835 840 844 849 853 857 862 8660.017 0.017 0.014 0.014 0.000 0.000 0.000 0.031 24 550 556 562 568 574 580 585 591 597 603 608 614 620 625 631 636 642 647 653 658 663 669 674 679 684 690 695 700 705 710 715 720 725 730 735 740 744 749 754 759 763 768 773 777 782 786 791 795 800 804 808 813 817 821 826 830 834 838 843 847 8510.015 0.015 0.012 0.012 0.000 0.000 0.000 0.027 25 550 556 561 567 573 578 584 589 595 600 605 611 616 621 627 632 637 642 648 653 658 663 668 673 678 683 687 692 697 702 707 711 716 721 725 730 734 739 743 748 752 757 761 765 770 774 778 782 787 791 795 799 803 807 811 815 819 823 827 831 8350.013 0.013 0.011 0.011 0.000 0.000 0.000 0.024 26 550 555 561 566 571 577 582 587 592 598 603 608 613 618 623 628 633 638 642 647 652 657 661 666 671 675 680 684 689 693 698 702 706 711 715 719 724 728 732 736 740 745 749 753 757 761 765 769 773 777 781 785 788 792 796 800 804 807 811 815 8190.011 0.011 0.010 0.010 0.000 0.000 0.000 0.021 27 550 555 560 565 570 575 580 585 590 595 600 605 609 614 619 623 628 632 637 641 646 650 654 659 663 667 671 675 680 684 688 692 696 700 704 708 712 716 720 724 728 731 735 739 743 747 750 754 758 762 765 769 773 776 780 783 787 790 794 798 8010.010 0.010 0.009 0.009 0.000 0.000 0.000 0.019 28 550 555 560 565 569 574 579 583 588 592 596 601 605 609 613 617 621 625 629 633 637 641 645 649 653 657 661 664 668 672 676 679 683 687 691 694 698 702 705 709 712 716 720 723 727 730 734 737 741 744 748 751 755 758 762 765 768 772 775 779 7820.009 0.009 0.008 0.008 0.000 0.000 0.000 0.016 29 550 555 559 563 567 571 575 578 582 585 589 593 596 600 603 607 610 614 617 621 624 628 631 635 638 642 645 649 652 656 659 663 666 670 673 677 680 684 687 691 694 697 701 704 708 711 714 718 721 724 728 731 734 738 741 744 748 751 754 757 7600.008 0.008 0.007 0.007 0.000 0.000 0.000 0.014 30 550 551 553 555 557 559 562 564 567 570 573 576 579 582 585 588 591 595 598 601 604 608 611 614 617 621 624 628 631 634 638 641 644 648 651 654 658 661 664 668 671 674 678 681 684 688 691 694 698 701 704 707 711 714 717 720 724 727 730 733 7360.018 0.018 0.015 0.015 0.000 0.000 0.000 0.033 1 550 553 556 560 563 567 571 576 580 584 589 593 598 603 607 612 617 622 626 631 636 641 645 650 655 660 665 669 674 679 684 688 693 698 703 707 712 717 721 726 731 735 740 744 749 753 758 763 767 771 776 780 785 789 794 798 802 807 811 815 8190.020 0.020 0.016 0.016 0.000 0.000 0.000 0.036 2 550 556 562 568 574 579 585 590 595 600 605 611 616 621 626 631 636 641 646 651 656 661 666 671 676 681 686 691 696 701 706 710 715 720 725 730 734 739 744 749 753 758 763 767 772 776 781 786 790 795 799 804 808 813 817 821 826 830 834 839 8430.022 0.022 0.017 0.017 0.000 0.000 0.000 0.039 3 550 557 563 570 576 583 589 595 601 607 613 619 625 630 636 642 647 653 658 664 669 675 680 685 691 696 701 706 711 717 722 727 732 737 742 747 752 757 762 766 771 776 781 786 790 795 800 805 809 814 818 823 828 832 837 841 846 850 854 859 8630.023 0.023 0.018 0.018 0.000 0.000 0.000 0.041 4 550 557 564 571 577 584 591 597 604 610 617 623 629 635 641 648 654 660 665 671 677 683 689 694 700 706 711 717 722 728 733 738 744 749 754 759 765 770 775 780 785 790 795 800 805 810 815 820 824 829 834 839 843 848 853 857 862 866 871 875 8800.024 0.024 0.019 0.019 0.000 0.000 0.000 0.043 5 550 557 564 571 578 585 592 599 605 612 619 625 632 638 645 651 657 664 670 676 682 688 694 700 706 712 718 724 729 735 741 746 752 758 763 768 774 779 785 790 795 800 806 811 816 821 826 831 836 841 846 851 856 860 865 870 875 879 884 889 8930.025 0.025 0.020 0.020 0.000 0.000 0.000 0.045 6 550 557 564 572 579 586 593 600 607 613 620 627 634 640 647 653 660 666 673 679 686 692 698 704 710 716 723 729 734 740 746 752 758 764 769 775 781 786 792 797 803 808 813 819 824 829 834 840 845 850 855 860 865 870 875 880 884 889 894 899 9030.026 0.026 0.020 0.020 0.000 0.000 0.000 0.047 7 550 557 565 572 579 586 593 600 607 614 621 628 635 642 649 655 662 669 675 682 688 694 701 707 713 720 726 732 738 744 750 756 762 768 774 780 785 791 797 802 808 813 819 824 830 835 841 846 851 856 862 867 872 877 882 887 892 897 902 907 9110.027 0.027 0.021 0.021 0.000 0.000 0.000 0.048 8 550 557 565 572 580 587 594 601 608 615 622 629 636 643 650 657 663 670 677 683 690 696 703 709 716 722 728 735 741 747 753 759 765 771 777 783 789 795 800 806 812 817 823 829 834 840 845 850 856 861 866 872 877 882 887 892 897 902 907 912 9170.027 0.027 0.021 0.021 0.000 0.000 0.000 0.049 9 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 671 678 685 691 698 704 711 717 724 730 736 743 749 755 761 767 773 779 785 791 797 803 809 815 820 826 832 837 843 848 854 859 864 870 875 880 886 891 896 901 906 911 916 9210.028 0.028 0.022 0.022 0.000 0.000 0.000 0.049 10 550 558 565 573 580 587 595 602 609 616 623 631 638 645 652 658 665 672 679 686 692 699 705 712 718 725 731 738 744 750 756 763 769 775 781 787 793 799 805 810 816 822 828 833 839 845 850 856 861 867 872 877 883 888 893 898 904 909 914 919 9240.028 0.028 0.022 0.022 0.000 0.000 0.000 0.049 11 550 558 565 573 580 587 595 602 609 617 624 631 638 645 652 659 666 672 679 686 693 699 706 712 719 725 732 738 745 751 757 763 769 776 782 788 794 800 806 811 817 823 829 834 840 846 851 857 862 868 873 879 884 889 895 900 905 910 915 920 9250.028 0.028 0.022 0.022 0.000 0.000 0.000 0.049 12 550 558 565 573 580 587 595 602 609 617 624 631 638 645 652 659 666 673 679 686 693 699 706 713 719 726 732 738 745 751 757 763 770 776 782 788 794 800 806 811 817 823 829 835 840 846 851 857 862 868 873 879 884 889 895 900 905 910 915 920 9260.028 0.028 0.022 0.022 0.000 0.000 0.000 0.049 13 550 558 565 573 580 587 595 602 609 616 624 631 638 645 652 659 665 672 679 686 692 699 706 712 719 725 731 738 744 750 757 763 769 775 781 787 793 799 805 811 817 822 828 834 839 845 851 856 862 867 873 878 883 889 894 899 904 909 914 920 9250.027 0.027 0.021 0.021 0.000 0.000 0.000 0.049 14 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 672 678 685 692 698 705 711 718 724 730 737 743 749 755 762 768 774 780 786 792 798 804 809 815 821 827 832 838 843 849 854 860 865 871 876 881 887 892 897 902 907 912 917 9220.027 0.027 0.021 0.021 0.000 0.000 0.000 0.048 15 550 557 565 572 580 587 594 601 608 615 623 630 636 643 650 657 664 670 677 684 690 697 703 710 716 723 729 735 741 748 754 760 766 772 778 784 790 795 801 807 813 818 824 830 835 841 846 852 857 863 868 873 878 884 889 894 899 904 909 914 9190.026 0.026 0.021 0.021 0.000 0.000 0.000 0.047 16 550 557 565 572 579 586 594 601 608 615 622 629 635 642 649 656 662 669 676 682 689 695 701 708 714 720 727 733 739 745 751 757 763 769 775 781 787 792 798 804 810 815 821 826 832 837 843 848 853 859 864 869 874 880 885 890 895 900 905 910 9150.026 0.026 0.020 0.020 0.000 0.000 0.000 0.046 17 550 557 564 572 579 586 593 600 607 614 620 627 634 641 647 654 661 667 674 680 686 693 699 705 712 718 724 730 736 742 748 754 760 766 771 777 783 789 794 800 805 811 816 822 827 833 838 843 849 854 859 864 869 874 879 885 889 894 899 904 9090.025 0.025 0.019 0.019 0.000 0.000 0.000 0.044 18 550 557 564 571 578 585 592 599 606 612 619 626 632 639 645 652 658 665 671 677 684 690 696 702 708 714 720 726 732 738 744 750 756 761 767 773 778 784 789 795 800 806 811 817 822 827 832 838 843 848 853 858 863 868 873 878 883 888 893 897 9020.023 0.023 0.018 0.018 0.000 0.000 0.000 0.042 19 550 557 564 571 577 584 591 598 604 611 617 624 630 637 643 649 656 662 668 674 680 686 692 698 704 710 716 722 728 734 739 745 751 756 762 767 773 778 784 789 794 800 805 810 815 821 826 831 836 841 846 851 856 861 865 870 875 880 885 889 8940.022 0.022 0.017 0.017 0.000 0.000 0.000 0.039 20 550 557 563 570 577 583 590 596 603 609 615 622 628 634 640 647 653 659 665 671 677 683 688 694 700 706 711 717 723 728 734 739 745 750 756 761 767 772 777 782 788 793 798 803 808 813 818 823 828 833 838 842 847 852 857 861 866 871 875 880 8840.020 0.020 0.016 0.016 0.000 0.000 0.000 0.037 21 550 557 563 569 576 582 588 595 601 607 613 619 625 631 637 643 649 655 661 667 672 678 684 689 695 701 706 712 717 723 728 733 739 744 749 754 759 765 770 775 780 785 790 795 800 805 809 814 819 824 829 833 838 842 847 852 856 861 865 870 8740.019 0.019 0.015 0.015 0.000 0.000 0.000 0.034 22 550 556 562 569 575 581 587 593 599 605 611 617 623 628 634 640 645 651 657 662 668 673 679 684 690 695 700 706 711 716 721 727 732 737 742 747 752 757 762 767 772 776 781 786 791 795 800 805 809 814 819 823 828 832 837 841 845 850 854 858 8630.017 0.017 0.014 0.014 0.000 0.000 0.000 0.031 23 550 556 562 568 574 580 585 591 597 603 608 614 620 625 631 636 642 647 652 658 663 668 674 679 684 689 694 700 705 710 715 720 725 729 734 739 744 749 753 758 763 768 772 777 781 786 790 795 799 804 808 812 817 821 825 830 834 838 842 846 8500.015 0.015 0.013 0.013 0.000 0.000 0.000 0.028 24 550 556 561 567 573 578 584 589 595 600 606 611 617 622 627 633 638 643 648 653 658 663 668 673 678 683 688 693 698 703 708 712 717 722 726 731 736 740 745 749 754 758 763 767 771 776 780 784 789 793 797 801 805 809 814 818 822 826 830 834 8380.014 0.014 0.011 0.011 0.000 0.000 0.000 0.025 25 550 555 561 566 572 577 582 588 593 598 603 609 614 619 624 629 634 639 644 649 654 658 663 668 673 677 682 687 691 696 701 705 710 714 718 723 727 732 736 740 744 749 753 757 761 765 769 773 777 781 785 789 793 797 801 805 809 813 816 820 8240.012 0.012 0.010 0.010 0.000 0.000 0.000 0.022 26 550 555 560 566 571 576 581 586 591 596 601 606 611 616 621 625 630 635 639 644 649 653 658 662 667 671 676 680 684 689 693 697 701 706 710 714 718 722 726 730 734 738 742 746 750 754 758 761 765 769 773 777 780 784 788 791 795 799 802 806 8090.011 0.011 0.009 0.009 0.000 0.000 0.000 0.020 27 550 555 560 565 570 575 580 585 589 594 599 603 608 612 617 621 626 630 635 639 643 647 651 656 660 664 668 672 676 680 684 688 692 696 700 704 707 711 715 719 722 726 730 734 737 741 745 748 752 755 759 762 766 769 773 776 780 783 787 790 7940.009 0.009 0.008 0.008 0.000 0.000 0.000 0.017 28 550 555 560 564 569 574 578 583 587 591 595 600 604 608 612 616 620 624 627 631 635 639 643 647 650 654 658 662 665 669 673 676 680 683 687 691 694 698 701 705 708 712 715 719 722 726 729 733 736 739 743 746 749 753 756 759 763 766 769 772 7760.008 0.008 0.007 0.007 0.000 0.000 0.000 0.015 29 550 555 559 563 567 571 574 578 581 585 588 592 595 599 602 606 609 612 616 619 623 626 630 633 636 640 643 647 650 654 657 660 664 667 670 674 677 681 684 687 691 694 697 700 704 707 710 714 717 720 723 727 730 733 736 739 743 746 749 752 7550.007 0.007 0.007 0.007 0.000 0.000 0.000 0.014 30 550 551 553 555 557 559 561 564 567 569 572 575 578 581 584 587 590 593 596 600 603 606 609 613 616 619 622 626 629 632 635 639 642 645 648 652 655 658 662 665 668 671 675 678 681 684 687 691 694 697 700 703 707 710 713 716 719 722 725 729 7320.021 0.021 0.017 0.017 0.021 0.021 0.021 0.058 1 550 555 560 566 572 578 585 591 598 604 611 618 624 631 638 645 652 659 666 673 680 686 693 700 707 714 721 728 735 741 748 755 762 768 775 782 788 795 801 808 814 821 827 834 840 846 853 859 865 871 878 884 890 896 902 908 914 920 925 931 9370.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 2 550 559 567 575 583 591 599 606 614 621 629 636 644 651 658 666 673 680 687 695 702 709 716 723 730 737 744 751 758 765 772 779 786 793 799 806 813 820 826 833 839 846 853 859 865 872 878 885 891 897 903 909 916 922 928 934 940 946 952 957 9630.025 0.025 0.020 0.020 0.025 0.025 0.025 0.069 3 550 559 569 578 587 595 604 613 621 630 638 646 655 663 671 679 687 694 702 710 718 725 733 740 748 755 763 770 777 785 792 799 806 813 820 827 834 841 848 855 862 868 875 882 888 895 901 908 914 920 927 933 939 946 952 958 964 970 976 982 9880.026 0.026 0.021 0.021 0.026 0.026 0.026 0.074 4 550 560 569 579 588 598 607 616 625 634 643 652 661 670 678 687 695 704 712 720 729 737 745 753 761 769 776 784 792 800 807 815 822 829 837 844 851 858 866 873 880 887 894 900 907 914 921 927 934 941 947 953 960 966 973 979 985 991 997 1003 10090.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 5 550 560 570 580 590 599 609 619 628 638 647 656 665 675 684 693 702 710 719 728 736 745 753 762 770 778 787 795 803 811 819 826 834 842 850 857 865 872 880 887 894 901 909 916 923 930 937 943 950 957 964 970 977 983 990 996 1003 1009 1015 1021 10270.029 0.029 0.023 0.023 0.029 0.029 0.029 0.081 6 550 560 571 581 591 601 611 621 630 640 650 659 669 678 688 697 706 715 724 733 742 751 760 768 777 786 794 802 811 819 827 835 843 851 859 867 875 883 890 898 905 913 920 928 935 942 949 956 963 970 977 984 991 997 1004 1010 1017 1023 1030 1036 10420.030 0.030 0.023 0.023 0.030 0.030 0.030 0.083 7 550 561 571 581 592 602 612 622 632 642 652 662 671 681 691 700 710 719 728 737 747 756 765 773 782 791 800 808 817 825 834 842 850 859 867 875 883 891 899 906 914 922 929 937 944 951 959 966 973 980 987 994 1001 1008 1015 1021 1028 1035 1041 1048 10540.031 0.031 0.024 0.024 0.031 0.031 0.031 0.085 8 550 561 571 582 592 603 613 623 634 644 654 664 673 683 693 703 712 722 731 741 750 759 768 777 786 795 804 813 822 830 839 847 856 864 872 880 889 897 905 913 920 928 936 944 951 959 966 973 981 988 995 1002 1009 1016 1023 1030 1036 1043 1050 1056 10630.031 0.031 0.024 0.024 0.031 0.031 0.031 0.087 9 550 561 572 582 593 603 614 624 635 645 655 665 675 685 695 704 714 724 733 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 885 893 901 909 917 925 933 941 948 956 964 971 979 986 993 1001 1008 1015 1022 1029 1036 1043 1049 1056 1063 10690.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 10 550 561 572 583 593 604 614 625 635 645 656 666 676 686 696 706 716 725 735 744 754 763 773 782 791 800 809 818 827 836 845 853 862 870 879 887 896 904 912 920 928 936 944 952 959 967 975 982 990 997 1004 1012 1019 1026 1033 1040 1047 1053 1060 1067 10730.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 11 550 561 572 583 593 604 615 625 636 646 656 666 676 687 696 706 716 726 736 745 755 764 774 783 792 801 810 819 828 837 846 855 863 872 880 889 897 905 914 922 930 938 946 953 961 969 976 984 992 999 1006 1014 1021 1028 1035 1042 1049 1056 1062 1069 10760.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 12 550 561 572 583 593 604 615 625 636 646 656 666 677 687 697 707 716 726 736 745 755 764 774 783 792 801 811 820 828 837 846 855 863 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1007 1014 1021 1028 1035 1042 1049 1056 1063 1069 10760.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 13 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 726 735 745 754 764 773 782 792 801 810 819 828 837 845 854 863 871 880 888 896 905 913 921 929 937 945 953 960 968 976 983 991 998 1005 1013 1020 1027 1034 1041 1048 1055 1061 1068 10750.031 0.031 0.024 0.024 0.032 0.032 0.032 0.087 14 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 715 724 734 744 753 762 772 781 790 799 808 817 826 835 843 852 861 869 878 886 894 902 910 919 927 934 942 950 958 965 973 980 988 995 1002 1010 1017 1024 1031 1038 1045 1051 1058 1065 10710.031 0.031 0.024 0.024 0.031 0.031 0.031 0.086 15 550 561 571 582 593 603 613 624 634 644 654 664 674 684 694 703 713 723 732 742 751 760 769 779 788 797 805 814 823 832 840 849 857 866 874 882 891 899 907 915 923 930 938 946 954 961 969 976 983 991 998 1005 1012 1019 1026 1033 1040 1046 1053 1060 10660.030 0.030 0.024 0.024 0.031 0.031 0.031 0.084 16 550 561 571 582 592 602 613 623 633 643 653 663 672 682 692 701 711 720 730 739 748 757 766 775 784 793 802 810 819 828 836 845 853 861 869 878 886 894 902 909 917 925 933 940 948 955 963 970 977 984 992 999 1006 1012 1019 1026 1033 1040 1046 1053 10590.029 0.029 0.023 0.023 0.030 0.030 0.030 0.082 17 550 560 571 581 591 601 611 621 631 641 651 660 670 679 689 698 708 717 726 735 744 753 762 771 780 788 797 805 814 822 831 839 847 855 863 871 879 887 895 903 910 918 925 933 940 948 955 962 969 976 983 990 997 1004 1011 1017 1024 1030 1037 1043 10500.028 0.028 0.022 0.022 0.029 0.029 0.029 0.079 18 550 560 570 580 590 600 610 619 629 639 648 658 667 676 685 695 704 713 722 730 739 748 757 765 774 782 791 799 807 816 824 832 840 848 856 863 871 879 886 894 901 909 916 924 931 938 945 952 959 966 973 980 986 993 1000 1006 1013 1019 1025 1032 10380.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 19 550 560 570 579 589 598 608 617 627 636 645 654 663 672 681 690 699 708 716 725 733 742 750 759 767 775 783 791 799 807 815 823 831 839 846 854 861 869 876 884 891 898 905 912 919 926 933 940 947 954 960 967 974 980 987 993 999 1006 1012 1018 10240.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 20 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 718 727 735 743 751 759 767 775 782 790 798 805 813 821 828 835 843 850 857 864 871 878 885 892 899 906 913 920 926 933 939 946 952 959 965 971 977 984 990 996 1002 10080.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 21 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 750 757 765 772 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 904 911 917 923 929 936 942 948 954 960 966 972 978 984 9890.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 22 550 559 567 575 584 592 600 609 617 625 633 641 649 657 664 672 680 687 695 703 710 718 725 732 740 747 754 761 768 775 782 789 796 803 810 816 823 830 836 843 849 856 862 868 875 881 887 893 899 905 911 917 923 929 935 941 947 952 958 963 9690.019 0.019 0.015 0.015 0.020 0.020 0.020 0.054 23 550 558 566 574 582 590 597 605 613 620 628 636 643 650 658 665 672 680 687 694 701 708 715 722 729 736 743 749 756 763 769 776 783 789 796 802 808 815 821 827 833 839 845 851 857 863 869 875 881 887 892 898 904 909 915 920 926 931 937 942 9470.017 0.017 0.014 0.014 0.018 0.018 0.018 0.049 24 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 672 679 685 692 699 705 712 718 725 731 738 744 750 756 763 769 775 781 787 793 799 805 811 817 822 828 834 840 845 851 856 862 867 873 878 883 889 894 899 904 910 915 920 9250.015 0.015 0.012 0.012 0.016 0.016 0.016 0.043 25 550 557 564 571 578 585 592 598 605 612 619 625 632 638 645 651 658 664 671 677 683 689 696 702 708 714 720 726 732 738 744 749 755 761 767 772 778 783 789 794 800 805 811 816 821 827 832 837 842 848 853 858 863 868 873 878 883 887 892 897 9020.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 26 550 557 563 570 576 583 589 595 602 608 614 620 627 633 639 645 651 657 663 669 674 680 686 692 697 703 709 714 720 725 730 736 741 747 752 757 762 768 773 778 783 788 793 798 803 808 813 818 823 827 832 837 842 846 851 856 860 865 870 874 8790.011 0.011 0.010 0.010 0.012 0.012 0.012 0.033 27 550 556 562 568 575 581 587 593 598 604 610 616 622 627 633 638 644 649 655 660 665 671 676 681 686 692 697 702 707 712 717 722 727 732 737 741 746 751 756 761 765 770 775 779 784 789 793 798 802 807 811 816 820 825 829 833 838 842 846 851 8550.010 0.010 0.009 0.009 0.010 0.010 0.010 0.029 28 550 556 562 567 573 579 584 589 595 600 605 610 615 620 625 630 635 640 645 650 655 659 664 669 674 678 683 688 692 697 701 706 711 715 720 724 729 733 737 742 746 751 755 759 764 768 772 777 781 785 789 794 798 802 806 810 814 819 823 827 8310.009 0.009 0.008 0.008 0.009 0.009 0.009 0.026 29 550 556 561 566 570 575 579 584 588 593 597 601 606 610 614 619 623 627 631 636 640 644 649 653 657 661 666 670 674 679 683 687 691 696 700 704 708 712 717 721 725 729 733 737 741 746 750 754 758 762 766 770 774 778 782 786 790 794 798 802 8060.008 0.008 0.007 0.007 0.008 0.008 0.008 0.023 30 550 552 554 557 560 563 566 569 573 576 580 584 588 591 595 599 603 607 611 615 619 623 627 631 635 639 643 647 652 656 660 664 668 672 676 680 684 688 692 696 701 705 709 713 717 721 725 729 733 737 741 745 749 753 757 760 764 768 772 776 7800.023 0.023 0.019 0.019 0.023 0.023 0.023 0.065 1 550 556 562 568 574 581 588 595 602 609 617 624 632 639 646 654 661 669 676 684 691 699 706 714 721 729 736 743 751 758 765 773 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 905 911 918 924 931 937 943 950 956 962 9680.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 2 550 559 569 577 586 594 603 611 619 627 635 643 651 659 667 675 683 691 699 706 714 722 730 737 745 753 760 768 775 783 790 798 805 813 820 827 834 842 849 856 863 870 877 884 891 898 905 911 918 925 931 938 945 951 958 964 970 977 983 989 9950.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 3 550 560 570 580 590 599 609 618 627 636 645 654 663 672 680 689 698 706 715 723 731 739 748 756 764 772 780 788 796 804 811 819 827 834 842 850 857 864 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 996 1002 1009 1015 10210.030 0.030 0.024 0.024 0.030 0.030 0.030 0.083 4 550 560 571 581 591 602 612 622 632 641 651 661 670 680 689 698 707 717 726 734 743 752 761 769 778 787 795 803 812 820 828 836 844 852 860 868 876 883 891 899 906 914 921 928 936 943 950 957 964 971 978 985 992 999 1005 1012 1019 1025 1032 1038 10440.031 0.031 0.025 0.025 0.031 0.031 0.031 0.087 5 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 733 743 752 761 770 779 788 797 806 815 824 832 841 849 858 866 874 882 890 898 906 914 922 930 937 945 953 960 967 975 982 989 996 1003 1010 1017 1024 1031 1038 1044 1051 1058 10640.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 6 550 561 572 583 594 605 616 627 637 648 658 669 679 689 699 709 719 729 739 749 758 768 777 787 796 805 815 824 833 842 850 859 868 876 885 893 902 910 918 926 934 942 950 958 966 974 981 989 996 1003 1011 1018 1025 1032 1039 1046 1053 1060 1067 1073 10800.034 0.034 0.027 0.027 0.034 0.034 0.034 0.094 7 550 561 573 584 595 606 617 628 639 650 661 671 682 692 703 713 723 733 743 753 763 773 783 792 802 812 821 830 839 849 858 867 876 884 893 902 910 919 927 936 944 952 960 968 976 984 992 999 1007 1015 1022 1029 1037 1044 1051 1058 1065 1072 1079 1086 1093
Tem
pera
ture
[R
]
2
Tem
pera
ture
[R
]
1
3
Tem
pera
ture
[R
]
4
Tem
pera
ture
[R
]
5
Tem
pera
ture
[R
]
1
6
Tem
pera
ture
[R
]
2 of 6
Appendix G
0.034 0.034 0.027 0.027 0.035 0.035 0.035 0.096 8 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 716 726 737 747 757 767 777 787 797 806 816 826 835 845 854 863 872 881 890 899 908 917 925 934 943 951 959 967 976 984 992 1000 1008 1015 1023 1031 1038 1045 1053 1060 1067 1074 1081 1088 1095 11020.035 0.035 0.028 0.028 0.035 0.035 0.035 0.098 9 550 562 573 585 597 608 619 631 642 653 664 675 686 697 707 718 728 739 749 760 770 780 790 800 810 819 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1029 1037 1044 1052 1059 1067 1074 1081 1088 1095 1102 11090.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 10 550 562 574 585 597 609 620 631 643 654 665 676 687 698 709 719 730 740 751 761 772 782 792 802 812 822 831 841 851 860 870 879 888 897 907 916 924 933 942 951 959 968 976 985 993 1001 1009 1017 1025 1033 1041 1048 1056 1063 1071 1078 1085 1093 1100 1107 11140.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 11 550 562 574 586 597 609 620 632 643 654 665 677 688 698 709 720 731 741 752 762 772 783 793 803 813 823 833 842 852 862 871 880 890 899 908 917 926 935 944 953 961 970 978 987 995 1003 1011 1019 1027 1035 1043 1050 1058 1066 1073 1080 1088 1095 1102 1109 11160.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 12 550 562 574 586 597 609 620 632 643 654 666 677 688 699 709 720 731 741 752 762 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 953 961 970 979 987 995 1003 1012 1020 1028 1035 1043 1051 1059 1066 1074 1081 1088 1095 1103 1110 11170.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 13 550 562 574 585 597 609 620 632 643 654 665 676 687 698 709 720 730 741 751 762 772 782 792 802 812 822 832 842 851 861 870 880 889 898 907 916 925 934 943 952 960 969 977 986 994 1002 1010 1018 1026 1034 1042 1050 1057 1065 1072 1079 1087 1094 1101 1108 11150.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 14 550 562 574 585 597 608 620 631 642 653 665 676 686 697 708 719 729 740 750 760 771 781 791 801 811 821 830 840 850 859 868 878 887 896 905 914 923 932 941 949 958 966 975 983 991 999 1007 1015 1023 1031 1039 1046 1054 1061 1069 1076 1083 1091 1098 1105 11120.034 0.034 0.027 0.027 0.035 0.035 0.035 0.097 15 550 562 573 585 596 608 619 630 641 652 663 674 685 696 706 717 727 738 748 758 768 778 788 798 808 818 827 837 846 856 865 874 883 892 901 910 919 928 937 945 954 962 970 979 987 995 1003 1011 1018 1026 1034 1041 1049 1056 1064 1071 1078 1085 1092 1099 11060.034 0.034 0.027 0.027 0.034 0.034 0.034 0.095 16 550 562 573 584 596 607 618 629 640 651 662 672 683 694 704 714 725 735 745 755 765 775 785 795 804 814 823 833 842 851 860 870 879 887 896 905 914 922 931 939 948 956 964 972 980 988 996 1004 1012 1019 1027 1034 1042 1049 1056 1064 1071 1078 1085 1092 10980.033 0.033 0.026 0.026 0.034 0.034 0.034 0.092 17 550 561 573 584 595 606 617 627 638 649 659 670 680 691 701 711 721 731 741 751 761 771 780 790 799 809 818 827 836 845 854 863 872 881 889 898 907 915 923 932 940 948 956 964 972 980 987 995 1003 1010 1018 1025 1032 1040 1047 1054 1061 1068 1075 1081 10880.032 0.032 0.025 0.025 0.032 0.032 0.032 0.089 18 550 561 572 583 594 604 615 625 636 646 657 667 677 687 697 707 717 727 736 746 755 765 774 784 793 802 811 820 829 838 846 855 864 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1006 1013 1021 1028 1035 1042 1048 1055 1062 1069 10750.030 0.030 0.024 0.024 0.031 0.031 0.031 0.085 19 550 561 571 582 592 603 613 623 633 643 653 663 673 683 692 702 711 721 730 739 749 758 767 776 785 794 802 811 820 828 837 845 854 862 870 878 886 894 902 910 918 926 933 941 948 956 963 971 978 985 992 999 1006 1013 1020 1027 1033 1040 1047 1053 10600.028 0.028 0.023 0.023 0.029 0.029 0.029 0.080 20 550 560 570 580 590 600 610 620 630 639 649 658 668 677 687 696 705 714 723 732 741 750 758 767 775 784 792 801 809 817 826 834 842 850 858 866 873 881 889 896 904 911 919 926 933 941 948 955 962 969 976 982 989 996 1003 1009 1016 1022 1028 1035 10410.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 21 550 560 569 579 588 598 607 617 626 635 644 653 662 671 680 689 697 706 715 723 732 740 748 757 765 773 781 789 797 805 813 821 828 836 843 851 858 866 873 880 888 895 902 909 916 923 930 937 943 950 957 963 970 976 983 989 995 1002 1008 1014 10200.024 0.024 0.019 0.019 0.025 0.025 0.025 0.067 22 550 559 568 577 586 595 604 613 622 630 639 647 656 664 673 681 689 697 705 714 722 730 737 745 753 761 768 776 784 791 799 806 813 821 828 835 842 849 856 863 870 877 884 890 897 904 910 917 923 930 936 942 949 955 961 967 973 979 985 991 9970.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 23 550 559 567 576 584 592 601 609 617 625 633 641 649 657 665 673 680 688 696 703 711 718 726 733 741 748 755 762 769 777 784 791 797 804 811 818 825 831 838 845 851 858 864 870 877 883 889 896 902 908 914 920 926 932 938 943 949 955 961 966 9720.018 0.018 0.015 0.015 0.020 0.020 0.020 0.054 24 550 558 566 574 582 589 597 605 612 620 627 635 642 650 657 664 672 679 686 693 700 707 714 721 728 735 742 748 755 762 768 775 781 788 794 801 807 813 819 826 832 838 844 850 856 862 868 874 879 885 891 897 902 908 913 919 924 930 935 941 9460.016 0.016 0.014 0.014 0.017 0.017 0.017 0.047 25 550 557 565 572 579 587 594 601 608 615 622 629 636 643 650 656 663 670 677 683 690 696 703 709 716 722 728 735 741 747 753 759 765 771 777 783 789 795 801 807 812 818 824 829 835 841 846 852 857 862 868 873 878 884 889 894 899 904 909 914 9190.014 0.014 0.012 0.012 0.015 0.015 0.015 0.041 26 550 557 564 570 577 584 591 597 604 610 617 623 630 636 643 649 655 661 667 674 680 686 692 698 704 709 715 721 727 733 738 744 749 755 761 766 772 777 782 788 793 798 804 809 814 819 824 829 835 840 845 850 855 859 864 869 874 879 884 888 8930.012 0.012 0.011 0.011 0.013 0.013 0.013 0.035 27 550 556 563 569 575 582 588 594 600 606 612 618 624 630 636 641 647 653 658 664 669 675 680 686 691 697 702 707 713 718 723 728 733 738 743 749 754 759 764 768 773 778 783 788 793 798 802 807 812 817 821 826 831 835 840 844 849 853 858 862 8670.010 0.010 0.009 0.009 0.011 0.011 0.011 0.031 28 550 556 562 568 574 579 585 591 596 601 607 612 617 623 628 633 638 643 648 653 658 663 668 673 677 682 687 692 697 701 706 711 716 720 725 730 734 739 744 748 753 757 762 766 771 775 780 784 789 793 797 802 806 811 815 819 823 828 832 836 8400.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 29 550 556 561 566 571 575 580 585 589 594 598 603 607 611 616 620 625 629 634 638 643 647 651 656 660 665 669 674 678 682 687 691 695 700 704 709 713 717 722 726 730 735 739 743 747 752 756 760 764 769 773 777 781 785 789 793 798 802 806 810 8140.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 30 550 552 554 557 560 563 567 570 574 577 581 585 589 593 597 601 605 609 613 617 621 625 629 634 638 642 646 650 655 659 663 667 672 676 680 684 688 693 697 701 705 709 714 718 722 726 730 734 739 743 747 751 755 759 763 767 771 775 779 783 7870.025 0.025 0.021 0.021 0.025 0.025 0.025 0.071 1 550 556 563 569 577 584 591 599 607 614 622 630 638 646 654 662 670 678 686 694 702 710 718 726 734 742 750 758 765 773 781 789 797 804 812 820 827 835 842 850 857 865 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 9960.028 0.028 0.023 0.023 0.028 0.028 0.028 0.078 2 550 560 570 579 588 597 606 615 624 632 641 650 658 667 675 684 692 700 709 717 726 734 742 750 758 767 775 783 791 799 807 815 823 830 838 846 854 861 869 877 884 892 899 906 914 921 928 935 942 950 957 964 970 977 984 991 998 1004 1011 1017 10240.030 0.030 0.025 0.025 0.030 0.030 0.030 0.085 3 550 561 571 582 592 602 612 622 632 642 652 661 671 680 689 698 708 717 726 735 744 752 761 770 778 787 796 804 812 821 829 837 845 854 862 870 878 885 893 901 909 916 924 932 939 947 954 961 968 976 983 990 997 1004 1011 1018 1024 1031 1038 1044 10510.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 4 550 561 572 583 594 605 616 627 637 648 658 668 679 689 699 708 718 728 738 747 757 766 775 784 794 803 812 821 829 838 847 855 864 872 881 889 897 906 914 922 930 938 946 953 961 969 976 984 991 999 1006 1013 1020 1028 1035 1042 1048 1055 1062 1069 10750.034 0.034 0.028 0.028 0.034 0.034 0.034 0.096 5 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 715 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 963 971 979 987 995 1003 1010 1018 1025 1033 1040 1047 1055 1062 1069 1076 1083 1089 10960.036 0.036 0.029 0.029 0.036 0.036 0.036 0.100 6 550 562 574 586 597 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 880 890 899 908 917 926 934 943 952 960 969 977 985 994 1002 1010 1018 1025 1033 1041 1048 1056 1063 1071 1078 1085 1092 1099 1106 11130.037 0.037 0.030 0.030 0.037 0.037 0.037 0.104 7 550 562 574 587 599 611 622 634 646 657 669 680 691 703 714 725 736 747 757 768 779 789 799 810 820 830 840 850 860 869 879 889 898 907 917 926 935 944 953 962 971 979 988 996 1005 1013 1021 1029 1037 1045 1053 1061 1068 1076 1083 1091 1098 1105 1112 1120 11270.038 0.038 0.031 0.031 0.038 0.038 0.038 0.106 8 550 562 575 587 599 612 624 636 647 659 671 682 694 705 717 728 739 750 761 772 783 793 804 814 825 835 845 855 865 875 885 895 904 914 923 933 942 951 960 969 978 987 996 1004 1013 1021 1030 1038 1046 1054 1062 1070 1078 1085 1093 1100 1108 1115 1122 1130 11370.038 0.038 0.031 0.031 0.038 0.038 0.038 0.108 9 550 563 575 588 600 612 625 637 649 661 672 684 696 707 719 730 741 753 764 775 785 796 807 818 828 839 849 859 869 879 889 899 909 919 928 938 947 956 966 975 984 993 1001 1010 1019 1027 1036 1044 1052 1060 1068 1076 1084 1092 1100 1107 1115 1122 1130 1137 11440.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 10 550 563 575 588 600 613 625 637 649 661 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 862 872 882 892 902 912 922 931 941 950 960 969 978 987 996 1005 1014 1023 1031 1040 1048 1056 1065 1073 1081 1089 1097 1104 1112 1119 1127 1134 1142 11490.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 11 550 563 576 588 601 613 625 638 650 662 674 686 698 709 721 732 744 755 766 777 788 799 810 821 832 842 853 863 873 884 894 904 913 923 933 943 952 962 971 980 989 998 1007 1016 1025 1033 1042 1050 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1137 1144 11510.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 12 550 563 576 588 601 613 626 638 650 662 674 686 698 709 721 733 744 755 766 778 789 800 810 821 832 842 853 863 874 884 894 904 914 924 933 943 952 962 971 980 990 999 1008 1016 1025 1034 1042 1051 1059 1067 1075 1084 1092 1099 1107 1115 1122 1130 1137 1145 11520.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 13 550 563 575 588 601 613 625 638 650 662 674 686 697 709 721 732 743 755 766 777 788 799 810 821 831 842 852 863 873 883 893 903 913 923 932 942 951 961 970 979 988 997 1006 1015 1024 1032 1041 1049 1058 1066 1074 1082 1090 1098 1106 1113 1121 1128 1136 1143 11500.038 0.038 0.031 0.031 0.039 0.039 0.039 0.109 14 550 563 575 588 600 613 625 637 649 661 673 685 696 708 719 731 742 753 765 776 787 797 808 819 829 840 850 861 871 881 891 901 911 920 930 939 949 958 967 977 986 995 1003 1012 1021 1029 1038 1046 1055 1063 1071 1079 1087 1095 1102 1110 1118 1125 1132 1140 11470.038 0.038 0.031 0.031 0.038 0.038 0.038 0.107 15 550 563 575 587 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 806 816 827 837 847 857 867 877 887 897 907 916 926 935 945 954 963 972 981 990 999 1008 1016 1025 1033 1041 1050 1058 1066 1074 1082 1089 1097 1105 1112 1119 1127 1134 11410.037 0.037 0.030 0.030 0.038 0.038 0.038 0.105 16 550 562 575 587 599 611 623 635 647 658 670 681 693 704 715 726 737 748 759 770 781 791 802 812 822 833 843 853 863 873 882 892 902 911 920 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1074 1082 1089 1097 1104 1111 1119 1126 11330.036 0.036 0.029 0.029 0.037 0.037 0.037 0.102 17 550 562 574 586 598 610 622 633 645 656 667 679 690 701 712 723 734 744 755 766 776 786 797 807 817 827 837 847 856 866 876 885 895 904 913 922 931 940 949 958 967 975 984 992 1000 1009 1017 1025 1033 1041 1049 1056 1064 1071 1079 1086 1094 1101 1108 1115 11220.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 18 550 562 574 585 597 608 620 631 642 653 664 675 686 697 708 718 729 739 750 760 770 780 790 800 810 820 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1028 1036 1044 1051 1059 1066 1073 1080 1087 1094 1101 11080.033 0.033 0.027 0.027 0.034 0.034 0.034 0.094 19 550 561 573 584 595 606 617 628 639 650 661 671 682 692 702 713 723 733 743 753 763 772 782 792 801 811 820 829 839 848 857 866 875 883 892 901 909 918 926 934 943 951 959 967 975 983 990 998 1006 1013 1021 1028 1035 1043 1050 1057 1064 1071 1078 1085 10910.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 20 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 725 735 744 754 763 772 782 791 800 809 818 827 835 844 853 861 870 878 886 895 903 911 919 927 935 943 950 958 966 973 981 988 995 1003 1010 1017 1024 1031 1038 1044 1051 1058 1064 10710.028 0.028 0.023 0.023 0.030 0.030 0.030 0.082 21 550 560 571 581 591 601 611 621 631 641 650 660 670 679 689 698 707 716 725 735 744 752 761 770 779 787 796 805 813 821 830 838 846 854 862 870 878 886 894 901 909 917 924 931 939 946 953 961 968 975 982 989 995 1002 1009 1015 1022 1029 1035 1041 10480.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 22 550 560 569 579 589 598 607 617 626 635 644 653 662 671 680 689 698 706 715 724 732 741 749 757 765 774 782 790 798 806 814 821 829 837 845 852 860 867 874 882 889 896 903 910 917 924 931 938 945 952 958 965 972 978 984 991 997 1003 1010 1016 10220.023 0.023 0.019 0.019 0.024 0.024 0.024 0.066 23 550 559 568 577 586 595 603 612 621 629 638 646 655 663 671 680 688 696 704 712 720 728 736 744 751 759 767 774 782 789 797 804 811 819 826 833 840 847 854 861 868 875 881 888 895 901 908 914 921 927 933 940 946 952 958 964 970 976 982 988 9940.020 0.020 0.017 0.017 0.021 0.021 0.021 0.058 24 550 558 567 575 583 591 599 607 615 623 631 639 647 655 663 670 678 685 693 700 708 715 722 730 737 744 751 758 765 772 779 786 793 800 806 813 820 826 833 839 846 852 859 865 871 877 883 890 896 902 908 914 919 925 931 937 943 948 954 959 9650.017 0.017 0.015 0.015 0.019 0.019 0.019 0.051 25 550 558 565 573 581 588 596 603 610 618 625 632 640 647 654 661 668 675 682 689 696 703 709 716 723 730 736 743 749 756 762 768 775 781 787 794 800 806 812 818 824 830 836 842 847 853 859 865 870 876 882 887 893 898 904 909 914 920 925 930 9350.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 26 550 557 564 571 578 585 592 599 606 613 619 626 633 639 646 652 659 665 672 678 684 691 697 703 709 715 721 727 733 739 745 751 757 763 769 774 780 786 791 797 802 808 813 819 824 829 835 840 845 851 856 861 866 871 876 881 886 891 896 901 9060.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 27 550 557 563 570 576 583 589 595 602 608 614 620 626 632 638 644 650 656 662 667 673 679 684 690 696 701 707 712 718 723 728 734 739 744 750 755 760 765 770 776 781 786 791 796 801 806 811 816 821 825 830 835 840 845 849 854 859 864 868 873 8770.011 0.011 0.010 0.010 0.012 0.012 0.012 0.032 28 550 556 562 568 574 580 586 592 597 603 608 614 619 624 630 635 640 645 650 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 735 739 744 749 754 758 763 768 773 777 782 786 791 796 800 805 809 814 818 823 827 832 836 840 845 8490.009 0.009 0.009 0.009 0.010 0.010 0.010 0.028 29 550 556 561 566 571 576 581 585 590 595 599 604 608 613 617 622 627 631 636 640 645 649 654 658 663 667 672 677 681 686 690 695 699 704 708 713 717 722 726 730 735 739 744 748 753 757 761 766 770 774 779 783 787 792 796 800 804 809 813 817 8210.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 557 561 564 567 571 574 578 582 586 590 594 598 602 606 610 615 619 623 627 632 636 640 644 649 653 657 662 666 670 675 679 683 688 692 696 701 705 709 714 718 722 726 731 735 739 744 748 752 756 760 765 769 773 777 781 785 790 7940.026 0.026 0.023 0.023 0.026 0.026 0.026 0.075 1 550 556 563 571 578 586 594 602 610 618 626 634 643 651 659 668 676 684 693 701 710 718 726 735 743 751 760 768 776 784 793 801 809 817 825 833 841 849 856 864 872 880 887 895 902 910 917 925 932 939 947 954 961 968 975 982 989 996 1002 1009 10160.029 0.029 0.025 0.025 0.029 0.029 0.029 0.083 2 550 561 571 580 590 599 609 618 627 636 645 654 663 672 681 690 699 708 716 725 734 742 751 760 768 777 785 794 802 810 819 827 835 844 852 860 868 876 884 892 899 907 915 923 930 938 945 953 960 968 975 982 989 996 1003 1010 1017 1024 1031 1038 10440.032 0.032 0.027 0.027 0.032 0.032 0.032 0.091 3 550 561 572 583 594 605 615 626 636 646 656 666 676 686 696 705 715 724 734 743 753 762 771 780 789 798 807 816 825 833 842 850 859 867 876 884 893 901 909 917 925 933 941 949 957 964 972 980 987 995 1002 1009 1017 1024 1031 1038 1045 1052 1059 1066 10720.034 0.034 0.029 0.029 0.034 0.034 0.034 0.098 4 550 562 573 585 596 608 619 630 641 652 663 674 685 695 706 716 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 964 972 980 988 995 1003 1011 1019 1026 1034 1041 1048 1056 1063 1070 1077 1084 1091 10980.036 0.036 0.031 0.031 0.036 0.036 0.036 0.103 5 550 562 574 586 598 610 622 634 645 657 668 679 691 702 713 723 734 745 756 766 776 787 797 807 817 827 837 847 856 866 875 885 894 903 912 921 930 939 948 957 965 974 982 990 999 1007 1015 1023 1031 1039 1046 1054 1062 1069 1077 1084 1091 1098 1105 1112 11190.038 0.038 0.032 0.032 0.038 0.038 0.038 0.107 6 550 563 575 588 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 805 816 826 836 847 857 867 877 886 896 906 915 925 934 943 952 961 970 979 988 997 1005 1014 1022 1030 1039 1047 1055 1063 1070 1078 1086 1093 1101 1108 1116 1123 1130 11370.039 0.039 0.033 0.033 0.039 0.039 0.039 0.111 7 550 563 576 588 601 614 626 638 651 663 675 687 698 710 722 733 745 756 767 779 790 801 812 822 833 844 854 864 875 885 895 905 915 924 934 944 953 963 972 981 990 999 1008 1017 1025 1034 1042 1051 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1136 1144 11510.040 0.040 0.034 0.034 0.040 0.040 0.040 0.113 8 550 563 576 589 602 615 627 640 652 665 677 689 701 713 725 737 748 760 771 783 794 805 816 827 838 849 859 870 880 891 901 911 921 931 941 951 960 970 979 989 998 1007 1016 1025 1034 1043 1051 1060 1068 1076 1085 1093 1101 1109 1117 1124 1132 1139 1147 1154 11610.040 0.040 0.034 0.034 0.041 0.041 0.041 0.115 9 550 563 576 590 603 615 628 641 654 666 678 691 703 715 727 739 751 763 774 786 797 808 820 831 842 853 863 874 885 895 906 916 926 936 946 956 966 975 985 994 1004 1013 1022 1031 1040 1049 1058 1066 1075 1083 1091 1100 1108 1116 1124 1131 1139 1147 1154 1162 11690.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 10 550 563 577 590 603 616 629 642 654 667 680 692 704 716 729 741 752 764 776 788 799 811 822 833 844 855 866 877 888 898 909 919 929 939 949 959 969 979 989 998 1008 1017 1026 1035 1044 1053 1062 1071 1079 1088 1096 1104 1112 1120 1128 1136 1144 1151 1159 1166 11740.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 11 550 563 577 590 603 616 629 642 655 668 680 693 705 717 729 741 753 765 777 789 800 812 823 834 845 857 867 878 889 900 910 921 931 941 951 961 971 981 991 1000 1010 1019 1028 1037 1046 1055 1064 1073 1081 1090 1098 1107 1115 1123 1131 1139 1146 1154 1162 1169 11760.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 12 550 563 577 590 603 616 629 642 655 668 680 693 705 717 730 742 754 765 777 789 800 812 823 835 846 857 868 879 889 900 910 921 931 941 952 962 971 981 991 1001 1010 1019 1029 1038 1047 1056 1065 1073 1082 1090 1099 1107 1115 1123 1131 1139 1147 1155 1162 1170 11770.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 13 550 563 577 590 603 616 629 642 655 667 680 692 705 717 729 741 753 765 777 788 800 811 823 834 845 856 867 878 888 899 910 920 930 940 951 961 970 980 990 999 1009 1018 1027 1037 1046 1054 1063 1072 1081 1089 1097 1106 1114 1122 1130 1138 1146 1153 1161 1168 11760.040 0.040 0.034 0.034 0.041 0.041 0.041 0.116 14 550 563 577 590 603 616 629 641 654 667 679 691 704 716 728 740 752 764 775 787 798 810 821 832 843 854 865 876 886 897 907 918 928 938 948 958 968 978 987 997 1006 1015 1024 1034 1043 1051 1060 1069 1077 1086 1094 1102 1111 1119 1127 1134 1142 1150 1157 1165 11720.040 0.040 0.034 0.034 0.041 0.041 0.041 0.114 15 550 563 576 589 602 615 628 640 653 665 678 690 702 714 726 738 750 761 773 784 796 807 818 829 840 851 862 872 883 893 904 914 924 934 944 954 964 973 983 992 1001 1011 1020 1029 1038 1046 1055 1064 1072 1081 1089 1097 1105 1113 1121 1129 1136 1144 1151 1159 11660.039 0.039 0.033 0.033 0.040 0.040 0.040 0.112 16 550 563 576 589 602 614 627 639 652 664 676 688 700 712 724 735 747 758 770 781 792 803 814 825 836 847 857 868 878 888 898 909 919 928 938 948 958 967 976 986 995 1004 1013 1022 1031 1039 1048 1056 1065 1073 1081 1089 1097 1105 1113 1121 1128 1136 1143 1150 11580.038 0.038 0.032 0.032 0.039 0.039 0.039 0.109 17 550 563 575 588 601 613 625 637 650 662 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 861 871 882 892 901 911 921 931 940 949 959 968 977 986 995 1004 1013 1021 1030 1038 1047 1055 1063 1071 1079 1087 1095 1102 1110 1117 1125 1132 1139 11460.036 0.036 0.031 0.031 0.038 0.038 0.038 0.105 18 550 562 575 587 599 611 623 635 647 659 670 682 693 704 716 727 738 749 760 770 781 792 802 812 823 833 843 853 863 873 883 892 902 911 921 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1073 1081 1089 1096 1103 1111 1118 1125 11320.035 0.035 0.030 0.030 0.036 0.036 0.036 0.101 19 550 562 574 586 598 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 952 961 969 978 986 994 1002 1010 1018 1026 1034 1042 1049 1057 1064 1072 1079 1086 1093 1100 1107 11140.032 0.032 0.028 0.028 0.034 0.034 0.034 0.094 20 550 561 573 584 595 607 618 629 639 650 661 672 682 693 703 713 724 734 744 754 764 773 783 793 802 812 821 830 840 849 858 867 876 885 893 902 911 919 928 936 944 952 960 968 976 984 992 1000 1007 1015 1022 1030 1037 1044 1052 1059 1066 1073 1079 1086 10930.030 0.030 0.026 0.026 0.032 0.032 0.032 0.087 21 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 734 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 884 893 901 909 917 925 933 940 948 956 963 971 978 986 993 1000 1007 1014 1021 1028 1035 1042 1049 1055 1062 10680.027 0.027 0.023 0.023 0.029 0.029 0.029 0.079 22 550 560 570 580 590 600 610 620 629 639 649 658 667 677 686 695 704 713 722 731 740 749 758 766 775 783 792 800 809 817 825 833 841 849 857 865 873 880 888 896 903 911 918 925 933 940 947 954 961 968 975 982 989 995 1002 1009 1015 1022 1028 1034 10410.024 0.024 0.021 0.021 0.026 0.026 0.026 0.071 23 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 719 727 735 743 751 759 767 775 783 791 799 807 814 822 829 837 844 851 859 866 873 880 887 894 901 908 915 922 928 935 942 948 955 961 968 974 980 986 992 999 1005 10110.021 0.021 0.018 0.018 0.023 0.023 0.023 0.062 24 550 559 567 576 584 593 601 610 618 626 634 643 651 659 667 675 683 690 698 706 714 721 729 736 744 751 759 766 773 780 788 795 802 809 816 823 830 836 843 850 857 863 870 876 883 889 895 902 908 914 920 926 933 939 945 950 956 962 968 974 9790.018 0.018 0.016 0.016 0.020 0.020 0.020 0.053 25 550 558 566 574 582 589 597 605 612 620 628 635 643 650 657 665 672 679 686 693 701 708 715 722 728 735 742 749 756 762 769 776 782 789 795 801 808 814 820 827 833 839 845 851 857 863 869 875 881 886 892 898 904 909 915 920 926 931 937 942 9480.015 0.015 0.014 0.014 0.017 0.017 0.017 0.046 26 550 557 565 572 579 586 593 600 607 614 621 628 635 642 649 655 662 669 675 682 688 695 701 707 714 720 726 732 739 745 751 757 763 769 775 780 786 792 798 804 809 815 821 826 832 837 843 848 854 859 864 870 875 880 886 891 896 901 906 911 9160.013 0.013 0.012 0.012 0.014 0.014 0.014 0.039 27 550 557 563 570 577 583 590 596 603 609 615 622 628 634 640 646 652 658 664 670 676 682 688 693 699 705 710 716 722 727 733 738 744 749 754 760 765 770 776 781 786 791 797 802 807 812 817 822 827 832 837 842 847 852 857 862 866 871 876 881 8850.011 0.011 0.010 0.010 0.012 0.012 0.012 0.034 28 550 556 562 569 575 581 586 592 598 604 609 615 620 626 631 636 642 647 652 658 663 668 673 678 683 689 694 699 704 709 714 719 724 729 734 738 743 748 753 758 763 768 772 777 782 787 791 796 801 805 810 815 819 824 829 833 838 842 847 851 8560.010 0.010 0.009 0.009 0.011 0.011 0.011 0.029 29 550 556 561 566 571 576 581 586 591 595 600 605 609 614 619 623 628 632 637 642 646 651 656 660 665 670 674 679 683 688 693 697 702 706 711 716 720 725 729 734 738 743 747 752 756 761 765 770 774 779 783 787 792 796 801 805 809 814 818 822 8270.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 558 561 564 568 571 575 579 583 587 591 595 599 603 607 611 616 620 624 629 633 637 642 646 651 655 659 664 668 673 677 681 686 690 695 699 704 708 712 717 721 726 730 734 739 743 747 752 756 760 765 769 773 777 782 786 790 794 7990.026 0.026 0.023 0.023 0.026 0.026 0.026 0.075 1 550 556 563 571 578 586 594 602 610 618 626 634 643 651 659 668 676 684 693 701 710 718 726 735 743 751 760 768 776 784 793 801 809 817 825 833 841 849 856 864 872 880 887 895 902 910 917 925 932 939 947 954 961 968 975 982 989 996 1002 1009 10160.029 0.029 0.025 0.025 0.029 0.029 0.029 0.083 2 550 561 571 580 590 599 609 618 627 636 645 654 663 672 681 690 699 708 716 725 734 742 751 760 768 777 785 794 802 810 819 827 835 844 852 860 868 876 884 892 899 907 915 923 930 938 945 953 960 968 975 982 989 996 1003 1010 1017 1024 1031 1038 10440.032 0.032 0.027 0.027 0.032 0.032 0.032 0.091 3 550 561 572 583 594 605 615 626 636 646 656 666 676 686 696 705 715 724 734 743 753 762 771 780 789 798 807 816 825 833 842 850 859 867 876 884 893 901 909 917 925 933 941 949 957 964 972 980 987 995 1002 1009 1017 1024 1031 1038 1045 1052 1059 1066 10720.034 0.034 0.029 0.029 0.034 0.034 0.034 0.098 4 550 562 573 585 596 608 619 630 641 652 663 674 685 695 706 716 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 964 972 980 988 995 1003 1011 1019 1026 1034 1041 1048 1056 1063 1070 1077 1084 1091 10980.036 0.036 0.031 0.031 0.036 0.036 0.036 0.103 5 550 562 574 586 598 610 622 634 645 657 668 679 691 702 713 723 734 745 756 766 776 787 797 807 817 827 837 847 856 866 875 885 894 903 912 921 930 939 948 957 965 974 982 990 999 1007 1015 1023 1031 1039 1046 1054 1062 1069 1077 1084 1091 1098 1105 1112 11190.038 0.038 0.032 0.032 0.038 0.038 0.038 0.107 6 550 563 575 588 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 805 816 826 836 847 857 867 877 886 896 906 915 925 934 943 952 961 970 979 988 997 1005 1014 1022 1030 1039 1047 1055 1063 1070 1078 1086 1093 1101 1108 1116 1123 1130 11370.039 0.039 0.033 0.033 0.039 0.039 0.039 0.111 7 550 563 576 588 601 614 626 638 651 663 675 687 698 710 722 733 745 756 767 779 790 801 812 822 833 844 854 864 875 885 895 905 915 924 934 944 953 963 972 981 990 999 1008 1017 1025 1034 1042 1051 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1136 1144 11510.040 0.040 0.034 0.034 0.040 0.040 0.040 0.113 8 550 563 576 589 602 615 627 640 652 665 677 689 701 713 725 737 748 760 771 783 794 805 816 827 838 849 859 870 880 891 901 911 921 931 941 951 960 970 979 989 998 1007 1016 1025 1034 1043 1051 1060 1068 1076 1085 1093 1101 1109 1117 1124 1132 1139 1147 1154 11610.040 0.040 0.034 0.034 0.041 0.041 0.041 0.115 9 550 563 576 590 603 615 628 641 654 666 678 691 703 715 727 739 751 763 774 786 797 808 820 831 842 853 863 874 885 895 906 916 926 936 946 956 966 975 985 994 1004 1013 1022 1031 1040 1049 1058 1066 1075 1083 1091 1100 1108 1116 1124 1131 1139 1147 1154 1162 11690.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 10 550 563 577 590 603 616 629 642 654 667 680 692 704 716 729 741 752 764 776 788 799 811 822 833 844 855 866 877 888 898 909 919 929 939 949 959 969 979 989 998 1008 1017 1026 1035 1044 1053 1062 1071 1079 1088 1096 1104 1112 1120 1128 1136 1144 1151 1159 1166 11740.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 11 550 563 577 590 603 616 629 642 655 668 680 693 705 717 729 741 753 765 777 789 800 812 823 834 845 857 867 878 889 900 910 921 931 941 951 961 971 981 991 1000 1010 1019 1028 1037 1046 1055 1064 1073 1081 1090 1098 1107 1115 1123 1131 1139 1146 1154 1162 1169 11760.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 12 550 563 577 590 603 616 629 642 655 668 680 693 705 717 730 742 754 765 777 789 800 812 823 835 846 857 868 879 889 900 910 921 931 941 952 962 971 981 991 1001 1010 1019 1029 1038 1047 1056 1065 1073 1082 1090 1099 1107 1115 1123 1131 1139 1147 1155 1162 1170 11770.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 13 550 563 577 590 603 616 629 642 655 667 680 692 705 717 729 741 753 765 777 788 800 811 823 834 845 856 867 878 888 899 910 920 930 940 951 961 970 980 990 999 1009 1018 1027 1037 1046 1054 1063 1072 1081 1089 1097 1106 1114 1122 1130 1138 1146 1153 1161 1168 11760.040 0.040 0.034 0.034 0.041 0.041 0.041 0.116 14 550 563 577 590 603 616 629 641 654 667 679 691 704 716 728 740 752 764 775 787 798 810 821 832 843 854 865 876 886 897 907 918 928 938 948 958 968 978 987 997 1006 1015 1024 1034 1043 1051 1060 1069 1077 1086 1094 1102 1111 1119 1127 1134 1142 1150 1157 1165 11720.040 0.040 0.034 0.034 0.041 0.041 0.041 0.114 15 550 563 576 589 602 615 628 640 653 665 678 690 702 714 726 738 750 761 773 784 796 807 818 829 840 851 862 872 883 893 904 914 924 934 944 954 964 973 983 992 1001 1011 1020 1029 1038 1046 1055 1064 1072 1081 1089 1097 1105 1113 1121 1129 1136 1144 1151 1159 11660.039 0.039 0.033 0.033 0.040 0.040 0.040 0.112 16 550 563 576 589 602 614 627 639 652 664 676 688 700 712 724 735 747 758 770 781 792 803 814 825 836 847 857 868 878 888 898 909 919 928 938 948 958 967 976 986 995 1004 1013 1022 1031 1039 1048 1056 1065 1073 1081 1089 1097 1105 1113 1121 1128 1136 1143 1150 11580.038 0.038 0.032 0.032 0.039 0.039 0.039 0.109 17 550 563 575 588 601 613 625 637 650 662 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 861 871 882 892 901 911 921 931 940 949 959 968 977 986 995 1004 1013 1021 1030 1038 1047 1055 1063 1071 1079 1087 1095 1102 1110 1117 1125 1132 1139 11460.036 0.036 0.031 0.031 0.038 0.038 0.038 0.105 18 550 562 575 587 599 611 623 635 647 659 670 682 693 704 716 727 738 749 760 770 781 792 802 812 823 833 843 853 863 873 883 892 902 911 921 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1073 1081 1089 1096 1103 1111 1118 1125 11320.035 0.035 0.030 0.030 0.036 0.036 0.036 0.101 19 550 562 574 586 598 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 952 961 969 978 986 994 1002 1010 1018 1026 1034 1042 1049 1057 1064 1072 1079 1086 1093 1100 1107 11140.032 0.032 0.028 0.028 0.034 0.034 0.034 0.094 20 550 561 573 584 595 607 618 629 639 650 661 672 682 693 703 713 724 734 744 754 764 773 783 793 802 812 821 830 840 849 858 867 876 885 893 902 911 919 928 936 944 952 960 968 976 984 992 1000 1007 1015 1022 1030 1037 1044 1052 1059 1066 1073 1079 1086 10930.030 0.030 0.026 0.026 0.032 0.032 0.032 0.087 21 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 734 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 884 893 901 909 917 925 933 940 948 956 963 971 978 986 993 1000 1007 1014 1021 1028 1035 1042 1049 1055 1062 10680.027 0.027 0.023 0.023 0.029 0.029 0.029 0.079 22 550 560 570 580 590 600 610 620 629 639 649 658 667 677 686 695 704 713 722 731 740 749 758 766 775 783 792 800 809 817 825 833 841 849 857 865 873 880 888 896 903 911 918 925 933 940 947 954 961 968 975 982 989 995 1002 1009 1015 1022 1028 1034 10410.024 0.024 0.021 0.021 0.026 0.026 0.026 0.071 23 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 719 727 735 743 751 759 767 775 783 791 799 807 814 822 829 837 844 851 859 866 873 880 887 894 901 908 915 922 928 935 942 948 955 961 968 974 980 986 992 999 1005 10110.021 0.021 0.018 0.018 0.023 0.023 0.023 0.062 24 550 559 567 576 584 593 601 610 618 626 634 643 651 659 667 675 683 690 698 706 714 721 729 736 744 751 759 766 773 780 788 795 802 809 816 823 830 836 843 850 857 863 870 876 883 889 895 902 908 914 920 926 933 939 945 950 956 962 968 974 9790.018 0.018 0.016 0.016 0.020 0.020 0.020 0.053 25 550 558 566 574 582 589 597 605 612 620 628 635 643 650 657 665 672 679 686 693 701 708 715 722 728 735 742 749 756 762 769 776 782 789 795 801 808 814 820 827 833 839 845 851 857 863 869 875 881 886 892 898 904 909 915 920 926 931 937 942 9480.015 0.015 0.014 0.014 0.017 0.017 0.017 0.046 26 550 557 565 572 579 586 593 600 607 614 621 628 635 642 649 655 662 669 675 682 688 695 701 707 714 720 726 732 739 745 751 757 763 769 775 780 786 792 798 804 809 815 821 826 832 837 843 848 854 859 864 870 875 880 886 891 896 901 906 911 9160.013 0.013 0.012 0.012 0.014 0.014 0.014 0.039 27 550 557 563 570 577 583 590 596 603 609 615 622 628 634 640 646 652 658 664 670 676 682 688 693 699 705 710 716 722 727 733 738 744 749 754 760 765 770 776 781 786 791 797 802 807 812 817 822 827 832 837 842 847 852 857 862 866 871 876 881 8850.011 0.011 0.010 0.010 0.012 0.012 0.012 0.034 28 550 556 562 569 575 581 586 592 598 604 609 615 620 626 631 636 642 647 652 658 663 668 673 678 683 689 694 699 704 709 714 719 724 729 734 738 743 748 753 758 763 768 772 777 782 787 791 796 801 805 810 815 819 824 829 833 838 842 847 851 8560.010 0.010 0.009 0.009 0.011 0.011 0.011 0.029 29 550 556 561 566 571 576 581 586 591 595 600 605 609 614 619 623 628 632 637 642 646 651 656 660 665 670 674 679 683 688 693 697 702 706 711 716 720 725 729 734 738 743 747 752 756 761 765 770 774 779 783 787 792 796 801 805 809 814 818 822 8270.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 558 561 564 568 571 575 579 583 587 591 595 599 603 607 611 616 620 624 629 633 637 642 646 651 655 659 664 668 673 677 681 686 690 695 699 704 708 712 717 721 726 730 734 739 743 747 752 756 760 765 769 773 777 782 786 790 794 7990.025 0.025 0.021 0.021 0.025 0.025 0.025 0.071 1 550 556 563 569 577 584 591 599 607 614 622 630 638 646 654 662 670 678 686 694 702 710 718 726 734 742 750 758 765 773 781 789 797 804 812 820 827 835 842 850 857 865 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 9960.028 0.028 0.023 0.023 0.028 0.028 0.028 0.078 2 550 560 570 579 588 597 606 615 624 632 641 650 658 667 675 684 692 700 709 717 726 734 742 750 758 767 775 783 791 799 807 815 823 830 838 846 854 861 869 877 884 892 899 906 914 921 928 935 942 950 957 964 970 977 984 991 998 1004 1011 1017 10240.030 0.030 0.025 0.025 0.030 0.030 0.030 0.085 3 550 561 571 582 592 602 612 622 632 642 652 661 671 680 689 698 708 717 726 735 744 752 761 770 778 787 796 804 812 821 829 837 845 854 862 870 878 885 893 901 909 916 924 932 939 947 954 961 968 976 983 990 997 1004 1011 1018 1024 1031 1038 1044 10510.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 4 550 561 572 583 594 605 616 627 637 648 658 668 679 689 699 708 718 728 738 747 757 766 775 784 794 803 812 821 829 838 847 855 864 872 881 889 897 906 914 922 930 938 946 953 961 969 976 984 991 999 1006 1013 1020 1028 1035 1042 1048 1055 1062 1069 10750.034 0.034 0.028 0.028 0.034 0.034 0.034 0.096 5 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 715 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 963 971 979 987 995 1003 1010 1018 1025 1033 1040 1047 1055 1062 1069 1076 1083 1089 10960.036 0.036 0.029 0.029 0.036 0.036 0.036 0.100 6 550 562 574 586 597 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 880 890 899 908 917 926 934 943 952 960 969 977 985 994 1002 1010 1018 1025 1033 1041 1048 1056 1063 1071 1078 1085 1092 1099 1106 11130.037 0.037 0.030 0.030 0.037 0.037 0.037 0.104 7 550 562 574 587 599 611 622 634 646 657 669 680 691 703 714 725 736 747 757 768 779 789 799 810 820 830 840 850 860 869 879 889 898 907 917 926 935 944 953 962 971 979 988 996 1005 1013 1021 1029 1037 1045 1053 1061 1068 1076 1083 1091 1098 1105 1112 1120 11270.038 0.038 0.031 0.031 0.038 0.038 0.038 0.106 8 550 562 575 587 599 612 624 636 647 659 671 682 694 705 717 728 739 750 761 772 783 793 804 814 825 835 845 855 865 875 885 895 904 914 923 933 942 951 960 969 978 987 996 1004 1013 1021 1030 1038 1046 1054 1062 1070 1078 1085 1093 1100 1108 1115 1122 1130 11370.038 0.038 0.031 0.031 0.038 0.038 0.038 0.108 9 550 563 575 588 600 612 625 637 649 661 672 684 696 707 719 730 741 753 764 775 785 796 807 818 828 839 849 859 869 879 889 899 909 919 928 938 947 956 966 975 984 993 1001 1010 1019 1027 1036 1044 1052 1060 1068 1076 1084 1092 1100 1107 1115 1122 1130 1137 11440.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 10 550 563 575 588 600 613 625 637 649 661 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 862 872 882 892 902 912 922 931 941 950 960 969 978 987 996 1005 1014 1023 1031 1040 1048 1056 1065 1073 1081 1089 1097 1104 1112 1119 1127 1134 1142 11490.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 11 550 563 576 588 601 613 625 638 650 662 674 686 698 709 721 732 744 755 766 777 788 799 810 821 832 842 853 863 873 884 894 904 913 923 933 943 952 962 971 980 989 998 1007 1016 1025 1033 1042 1050 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1137 1144 11510.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 12 550 563 576 588 601 613 626 638 650 662 674 686 698 709 721 733 744 755 766 778 789 800 810 821 832 842 853 863 874 884 894 904 914 924 933 943 952 962 971 980 990 999 1008 1016 1025 1034 1042 1051 1059 1067 1075 1084 1092 1099 1107 1115 1122 1130 1137 1145 11520.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 13 550 563 575 588 601 613 625 638 650 662 674 686 697 709 721 732 743 755 766 777 788 799 810 821 831 842 852 863 873 883 893 903 913 923 932 942 951 961 970 979 988 997 1006 1015 1024 1032 1041 1049 1058 1066 1074 1082 1090 1098 1106 1113 1121 1128 1136 1143 11500.038 0.038 0.031 0.031 0.039 0.039 0.039 0.109 14 550 563 575 588 600 613 625 637 649 661 673 685 696 708 719 731 742 753 765 776 787 797 808 819 829 840 850 861 871 881 891 901 911 920 930 939 949 958 967 977 986 995 1003 1012 1021 1029 1038 1046 1055 1063 1071 1079 1087 1095 1102 1110 1118 1125 1132 1140 11470.038 0.038 0.031 0.031 0.038 0.038 0.038 0.107 15 550 563 575 587 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 806 816 827 837 847 857 867 877 887 897 907 916 926 935 945 954 963 972 981 990 999 1008 1016 1025 1033 1041 1050 1058 1066 1074 1082 1089 1097 1105 1112 1119 1127 1134 11410.037 0.037 0.030 0.030 0.038 0.038 0.038 0.105 16 550 562 575 587 599 611 623 635 647 658 670 681 693 704 715 726 737 748 759 770 781 791 802 812 822 833 843 853 863 873 882 892 902 911 920 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1074 1082 1089 1097 1104 1111 1119 1126 11330.036 0.036 0.029 0.029 0.037 0.037 0.037 0.102 17 550 562 574 586 598 610 622 633 645 656 667 679 690 701 712 723 734 744 755 766 776 786 797 807 817 827 837 847 856 866 876 885 895 904 913 922 931 940 949 958 967 975 984 992 1000 1009 1017 1025 1033 1041 1049 1056 1064 1071 1079 1086 1094 1101 1108 1115 11220.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 18 550 562 574 585 597 608 620 631 642 653 664 675 686 697 708 718 729 739 750 760 770 780 790 800 810 820 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1028 1036 1044 1051 1059 1066 1073 1080 1087 1094 1101 11080.033 0.033 0.027 0.027 0.034 0.034 0.034 0.094 19 550 561 573 584 595 606 617 628 639 650 661 671 682 692 702 713 723 733 743 753 763 772 782 792 801 811 820 829 839 848 857 866 875 883 892 901 909 918 926 934 943 951 959 967 975 983 990 998 1006 1013 1021 1028 1035 1043 1050 1057 1064 1071 1078 1085 10910.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 20 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 725 735 744 754 763 772 782 791 800 809 818 827 835 844 853 861 870 878 886 895 903 911 919 927 935 943 950 958 966 973 981 988 995 1003 1010 1017 1024 1031 1038 1044 1051 1058 1064 10710.028 0.028 0.023 0.023 0.030 0.030 0.030 0.082 21 550 560 571 581 591 601 611 621 631 641 650 660 670 679 689 698 707 716 725 735 744 752 761 770 779 787 796 805 813 821 830 838 846 854 862 870 878 886 894 901 909 917 924 931 939 946 953 961 968 975 982 989 995 1002 1009 1015 1022 1029 1035 1041 10480.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 22 550 560 569 579 589 598 607 617 626 635 644 653 662 671 680 689 698 706 715 724 732 741 749 757 765 774 782 790 798 806 814 821 829 837 845 852 860 867 874 882 889 896 903 910 917 924 931 938 945 952 958 965 972 978 984 991 997 1003 1010 1016 10220.023 0.023 0.019 0.019 0.024 0.024 0.024 0.066 23 550 559 568 577 586 595 603 612 621 629 638 646 655 663 671 680 688 696 704 712 720 728 736 744 751 759 767 774 782 789 797 804 811 819 826 833 840 847 854 861 868 875 881 888 895 901 908 914 921 927 933 940 946 952 958 964 970 976 982 988 9940.020 0.020 0.017 0.017 0.021 0.021 0.021 0.058 24 550 558 567 575 583 591 599 607 615 623 631 639 647 655 663 670 678 685 693 700 708 715 722 730 737 744 751 758 765 772 779 786 793 800 806 813 820 826 833 839 846 852 859 865 871 877 883 890 896 902 908 914 919 925 931 937 943 948 954 959 9650.017 0.017 0.015 0.015 0.019 0.019 0.019 0.051 25 550 558 565 573 581 588 596 603 610 618 625 632 640 647 654 661 668 675 682 689 696 703 709 716 723 730 736 743 749 756 762 768 775 781 787 794 800 806 812 818 824 830 836 842 847 853 859 865 870 876 882 887 893 898 904 909 914 920 925 930 9350.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 26 550 557 564 571 578 585 592 599 606 613 619 626 633 639 646 652 659 665 672 678 684 691 697 703 709 715 721 727 733 739 745 751 757 763 769 774 780 786 791 797 802 808 813 819 824 829 835 840 845 851 856 861 866 871 876 881 886 891 896 901 9060.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 27 550 557 563 570 576 583 589 595 602 608 614 620 626 632 638 644 650 656 662 667 673 679 684 690 696 701 707 712 718 723 728 734 739 744 750 755 760 765 770 776 781 786 791 796 801 806 811 816 821 825 830 835 840 845 849 854 859 864 868 873 8770.011 0.011 0.010 0.010 0.012 0.012 0.012 0.032 28 550 556 562 568 574 580 586 592 597 603 608 614 619 624 630 635 640 645 650 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 735 739 744 749 754 758 763 768 773 777 782 786 791 796 800 805 809 814 818 823 827 832 836 840 845 8490.009 0.009 0.009 0.009 0.010 0.010 0.010 0.028 29 550 556 561 566 571 576 581 585 590 595 599 604 608 613 617 622 627 631 636 640 645 649 654 658 663 667 672 677 681 686 690 695 699 704 708 713 717 722 726 730 735 739 744 748 753 757 761 766 770 774 779 783 787 792 796 800 804 809 813 817 8210.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 557 561 564 567 571 574 578 582 586 590 594 598 602 606 610 615 619 623 627 632 636 640 644 649 653 657 662 666 670 675 679 683 688 692 696 701 705 709 714 718 722 726 731 735 739 744 748 752 756 760 765 769 773 777 781 785 790 7940.023 0.023 0.019 0.019 0.023 0.023 0.023 0.065 1 550 556 562 568 574 581 588 595 602 609 617 624 632 639 646 654 661 669 676 684 691 699 706 714 721 729 736 743 751 758 765 773 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 905 911 918 924 931 937 943 950 956 962 9680.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 2 550 559 569 577 586 594 603 611 619 627 635 643 651 659 667 675 683 691 699 706 714 722 730 737 745 753 760 768 775 783 790 798 805 813 820 827 834 842 849 856 863 870 877 884 891 898 905 911 918 925 931 938 945 951 958 964 970 977 983 989 9950.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 3 550 560 570 580 590 599 609 618 627 636 645 654 663 672 680 689 698 706 715 723 731 739 748 756 764 772 780 788 796 804 811 819 827 834 842 850 857 864 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 996 1002 1009 1015 10210.030 0.030 0.024 0.024 0.030 0.030 0.030 0.083 4 550 560 571 581 591 602 612 622 632 641 651 661 670 680 689 698 707 717 726 734 743 752 761 769 778 787 795 803 812 820 828 836 844 852 860 868 876 883 891 899 906 914 921 928 936 943 950 957 964 971 978 985 992 999 1005 1012 1019 1025 1032 1038 10440.031 0.031 0.025 0.025 0.031 0.031 0.031 0.087 5 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 733 743 752 761 770 779 788 797 806 815 824 832 841 849 858 866 874 882 890 898 906 914 922 930 937 945 953 960 967 975 982 989 996 1003 1010 1017 1024 1031 1038 1044 1051 1058 10640.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 6 550 561 572 583 594 605 616 627 637 648 658 669 679 689 699 709 719 729 739 749 758 768 777 787 796 805 815 824 833 842 850 859 868 876 885 893 902 910 918 926 934 942 950 958 966 974 981 989 996 1003 1011 1018 1025 1032 1039 1046 1053 1060 1067 1073 10800.034 0.034 0.027 0.027 0.034 0.034 0.034 0.094 7 550 561 573 584 595 606 617 628 639 650 661 671 682 692 703 713 723 733 743 753 763 773 783 792 802 812 821 830 839 849 858 867 876 884 893 902 910 919 927 936 944 952 960 968 976 984 992 999 1007 1015 1022 1029 1037 1044 1051 1058 1065 1072 1079 1086 10930.034 0.034 0.027 0.027 0.035 0.035 0.035 0.096 8 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 716 726 737 747 757 767 777 787 797 806 816 826 835 845 854 863 872 881 890 899 908 917 925 934 943 951 959 967 976 984 992 1000 1008 1015 1023 1031 1038 1045 1053 1060 1067 1074 1081 1088 1095 11020.035 0.035 0.028 0.028 0.035 0.035 0.035 0.098 9 550 562 573 585 597 608 619 631 642 653 664 675 686 697 707 718 728 739 749 760 770 780 790 800 810 819 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1029 1037 1044 1052 1059 1067 1074 1081 1088 1095 1102 11090.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 10 550 562 574 585 597 609 620 631 643 654 665 676 687 698 709 719 730 740 751 761 772 782 792 802 812 822 831 841 851 860 870 879 888 897 907 916 924 933 942 951 959 968 976 985 993 1001 1009 1017 1025 1033 1041 1048 1056 1063 1071 1078 1085 1093 1100 1107 11140.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 11 550 562 574 586 597 609 620 632 643 654 665 677 688 698 709 720 731 741 752 762 772 783 793 803 813 823 833 842 852 862 871 880 890 899 908 917 926 935 944 953 961 970 978 987 995 1003 1011 1019 1027 1035 1043 1050 1058 1066 1073 1080 1088 1095 1102 1109 11160.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 12 550 562 574 586 597 609 620 632 643 654 666 677 688 699 709 720 731 741 752 762 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 953 961 970 979 987 995 1003 1012 1020 1028 1035 1043 1051 1059 1066 1074 1081 1088 1095 1103 1110 11170.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 13 550 562 574 585 597 609 620 632 643 654 665 676 687 698 709 720 730 741 751 762 772 782 792 802 812 822 832 842 851 861 870 880 889 898 907 916 925 934 943 952 960 969 977 986 994 1002 1010 1018 1026 1034 1042 1050 1057 1065 1072 1079 1087 1094 1101 1108 11150.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 14 550 562 574 585 597 608 620 631 642 653 665 676 686 697 708 719 729 740 750 760 771 781 791 801 811 821 830 840 850 859 868 878 887 896 905 914 923 932 941 949 958 966 975 983 991 999 1007 1015 1023 1031 1039 1046 1054 1061 1069 1076 1083 1091 1098 1105 11120.034 0.034 0.027 0.027 0.035 0.035 0.035 0.097 15 550 562 573 585 596 608 619 630 641 652 663 674 685 696 706 717 727 738 748 758 768 778 788 798 808 818 827 837 846 856 865 874 883 892 901 910 919 928 937 945 954 962 970 979 987 995 1003 1011 1018 1026 1034 1041 1049 1056 1064 1071 1078 1085 1092 1099 11060.034 0.034 0.027 0.027 0.034 0.034 0.034 0.095 16 550 562 573 584 596 607 618 629 640 651 662 672 683 694 704 714 725 735 745 755 765 775 785 795 804 814 823 833 842 851 860 870 879 887 896 905 914 922 931 939 948 956 964 972 980 988 996 1004 1012 1019 1027 1034 1042 1049 1056 1064 1071 1078 1085 1092 10980.033 0.033 0.026 0.026 0.034 0.034 0.034 0.092 17 550 561 573 584 595 606 617 627 638 649 659 670 680 691 701 711 721 731 741 751 761 771 780 790 799 809 818 827 836 845 854 863 872 881 889 898 907 915 923 932 940 948 956 964 972 980 987 995 1003 1010 1018 1025 1032 1040 1047 1054 1061 1068 1075 1081 10880.032 0.032 0.025 0.025 0.032 0.032 0.032 0.089 18 550 561 572 583 594 604 615 625 636 646 657 667 677 687 697 707 717 727 736 746 755 765 774 784 793 802 811 820 829 838 846 855 864 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1006 1013 1021 1028 1035 1042 1048 1055 1062 1069 10750.030 0.030 0.024 0.024 0.031 0.031 0.031 0.085 19 550 561 571 582 592 603 613 623 633 643 653 663 673 683 692 702 711 721 730 739 749 758 767 776 785 794 802 811 820 828 837 845 854 862 870 878 886 894 902 910 918 926 933 941 948 956 963 971 978 985 992 999 1006 1013 1020 1027 1033 1040 1047 1053 10600.028 0.028 0.023 0.023 0.029 0.029 0.029 0.080 20 550 560 570 580 590 600 610 620 630 639 649 658 668 677 687 696 705 714 723 732 741 750 758 767 775 784 792 801 809 817 826 834 842 850 858 866 873 881 889 896 904 911 919 926 933 941 948 955 962 969 976 982 989 996 1003 1009 1016 1022 1028 1035 10410.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 21 550 560 569 579 588 598 607 617 626 635 644 653 662 671 680 689 697 706 715 723 732 740 748 757 765 773 781 789 797 805 813 821 828 836 843 851 858 866 873 880 888 895 902 909 916 923 930 937 943 950 957 963 970 976 983 989 995 1002 1008 1014 10200.024 0.024 0.019 0.019 0.025 0.025 0.025 0.067 22 550 559 568 577 586 595 604 613 622 630 639 647 656 664 673 681 689 697 705 714 722 730 737 745 753 761 768 776 784 791 799 806 813 821 828 835 842 849 856 863 870 877 884 890 897 904 910 917 923 930 936 942 949 955 961 967 973 979 985 991 9970.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 23 550 559 567 576 584 592 601 609 617 625 633 641 649 657 665 673 680 688 696 703 711 718 726 733 741 748 755 762 769 777 784 791 797 804 811 818 825 831 838 845 851 858 864 870 877 883 889 896 902 908 914 920 926 932 938 943 949 955 961 966 9720.018 0.018 0.015 0.015 0.020 0.020 0.020 0.054 24 550 558 566 574 582 589 597 605 612 620 627 635 642 650 657 664 672 679 686 693 700 707 714 721 728 735 742 748 755 762 768 775 781 788 794 801 807 813 819 826 832 838 844 850 856 862 868 874 879 885 891 897 902 908 913 919 924 930 935 941 9460.016 0.016 0.014 0.014 0.017 0.017 0.017 0.047 25 550 557 565 572 579 587 594 601 608 615 622 629 636 643 650 656 663 670 677 683 690 696 703 709 716 722 728 735 741 747 753 759 765 771 777 783 789 795 801 807 812 818 824 829 835 841 846 852 857 862 868 873 878 884 889 894 899 904 909 914 9190.014 0.014 0.012 0.012 0.015 0.015 0.015 0.041 26 550 557 564 570 577 584 591 597 604 610 617 623 630 636 643 649 655 661 667 674 680 686 692 698 704 709 715 721 727 733 738 744 749 755 761 766 772 777 782 788 793 798 804 809 814 819 824 829 835 840 845 850 855 859 864 869 874 879 884 888 8930.012 0.012 0.011 0.011 0.013 0.013 0.013 0.035 27 550 556 563 569 575 582 588 594 600 606 612 618 624 630 636 641 647 653 658 664 669 675 680 686 691 697 702 707 713 718 723 728 733 738 743 749 754 759 764 768 773 778 783 788 793 798 802 807 812 817 821 826 831 835 840 844 849 853 858 862 8670.010 0.010 0.009 0.009 0.011 0.011 0.011 0.031 28 550 556 562 568 574 579 585 591 596 601 607 612 617 623 628 633 638 643 648 653 658 663 668 673 677 682 687 692 697 701 706 711 716 720 725 730 734 739 744 748 753 757 762 766 771 775 780 784 789 793 797 802 806 811 815 819 823 828 832 836 8400.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 29 550 556 561 566 571 575 580 585 589 594 598 603 607 611 616 620 625 629 634 638 643 647 651 656 660 665 669 674 678 682 687 691 695 700 704 709 713 717 722 726 730 735 739 743 747 752 756 760 764 769 773 777 781 785 789 793 798 802 806 810 8140.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 30 550 552 554 557 560 563 567 570 574 577 581 585 589 593 597 601 605 609 613 617 621 625 629 634 638 642 646 650 655 659 663 667 672 676 680 684 688 693 697 701 705 709 714 718 722 726 730 734 739 743 747 751 755 759 763 767 771 775 779 783 7870.021 0.021 0.017 0.017 0.021 0.021 0.021 0.058 1 550 555 560 566 572 578 585 591 598 604 611 618 624 631 638 645 652 659 666 673 680 686 693 700 707 714 721 728 735 741 748 755 762 768 775 782 788 795 801 808 814 821 827 834 840 846 853 859 865 871 878 884 890 896 902 908 914 920 925 931 9370.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 2 550 559 567 575 583 591 599 606 614 621 629 636 644 651 658 666 673 680 687 695 702 709 716 723 730 737 744 751 758 765 772 779 786 793 799 806 813 820 826 833 839 846 853 859 865 872 878 885 891 897 903 909 916 922 928 934 940 946 952 957 9630.025 0.025 0.020 0.020 0.025 0.025 0.025 0.069 3 550 559 569 578 587 595 604 613 621 630 638 646 655 663 671 679 687 694 702 710 718 725 733 740 748 755 763 770 777 785 792 799 806 813 820 827 834 841 848 855 862 868 875 882 888 895 901 908 914 920 927 933 939 946 952 958 964 970 976 982 9880.026 0.026 0.021 0.021 0.026 0.026 0.026 0.074 4 550 560 569 579 588 598 607 616 625 634 643 652 661 670 678 687 695 704 712 720 729 737 745 753 761 769 776 784 792 800 807 815 822 829 837 844 851 858 866 873 880 887 894 900 907 914 921 927 934 941 947 953 960 966 973 979 985 991 997 1003 10090.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 5 550 560 570 580 590 599 609 619 628 638 647 656 665 675 684 693 702 710 719 728 736 745 753 762 770 778 787 795 803 811 819 826 834 842 850 857 865 872 880 887 894 901 909 916 923 930 937 943 950 957 964 970 977 983 990 996 1003 1009 1015 1021 10270.029 0.029 0.023 0.023 0.029 0.029 0.029 0.081 6 550 560 571 581 591 601 611 621 630 640 650 659 669 678 688 697 706 715 724 733 742 751 760 768 777 786 794 802 811 819 827 835 843 851 859 867 875 883 890 898 905 913 920 928 935 942 949 956 963 970 977 984 991 997 1004 1010 1017 1023 1030 1036 10420.030 0.030 0.023 0.023 0.030 0.030 0.030 0.083 7 550 561 571 581 592 602 612 622 632 642 652 662 671 681 691 700 710 719 728 737 747 756 765 773 782 791 800 808 817 825 834 842 850 859 867 875 883 891 899 906 914 922 929 937 944 951 959 966 973 980 987 994 1001 1008 1015 1021 1028 1035 1041 1048 10540.031 0.031 0.024 0.024 0.031 0.031 0.031 0.085 8 550 561 571 582 592 603 613 623 634 644 654 664 673 683 693 703 712 722 731 741 750 759 768 777 786 795 804 813 822 830 839 847 856 864 872 880 889 897 905 913 920 928 936 944 951 959 966 973 981 988 995 1002 1009 1016 1023 1030 1036 1043 1050 1056 10630.031 0.031 0.024 0.024 0.031 0.031 0.031 0.087 9 550 561 572 582 593 603 614 624 635 645 655 665 675 685 695 704 714 724 733 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 885 893 901 909 917 925 933 941 948 956 964 971 979 986 993 1001 1008 1015 1022 1029 1036 1043 1049 1056 1063 10690.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 10 550 561 572 583 593 604 614 625 635 645 656 666 676 686 696 706 716 725 735 744 754 763 773 782 791 800 809 818 827 836 845 853 862 870 879 887 896 904 912 920 928 936 944 952 959 967 975 982 990 997 1004 1012 1019 1026 1033 1040 1047 1053 1060 1067 10730.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 11 550 561 572 583 593 604 615 625 636 646 656 666 676 687 696 706 716 726 736 745 755 764 774 783 792 801 810 819 828 837 846 855 863 872 880 889 897 905 914 922 930 938 946 953 961 969 976 984 992 999 1006 1014 1021 1028 1035 1042 1049 1056 1062 1069 10760.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 12 550 561 572 583 593 604 615 625 636 646 656 666 677 687 697 707 716 726 736 745 755 764 774 783 792 801 811 820 828 837 846 855 863 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1007 1014 1021 1028 1035 1042 1049 1056 1063 1069 10760.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 13 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 726 735 745 754 764 773 782 792 801 810 819 828 837 845 854 863 871 880 888 896 905 913 921 929 937 945 953 960 968 976 983 991 998 1005 1013 1020 1027 1034 1041 1048 1055 1061 1068 10750.031 0.031 0.024 0.024 0.032 0.032 0.032 0.087 14 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 715 724 734 744 753 762 772 781 790 799 808 817 826 835 843 852 861 869 878 886 894 902 910 919 927 934 942 950 958 965 973 980 988 995 1002 1010 1017 1024 1031 1038 1045 1051 1058 1065 10710.031 0.031 0.024 0.024 0.031 0.031 0.031 0.086 15 550 561 571 582 593 603 613 624 634 644 654 664 674 684 694 703 713 723 732 742 751 760 769 779 788 797 805 814 823 832 840 849 857 866 874 882 891 899 907 915 923 930 938 946 954 961 969 976 983 991 998 1005 1012 1019 1026 1033 1040 1046 1053 1060 10660.030 0.030 0.024 0.024 0.031 0.031 0.031 0.084 16 550 561 571 582 592 602 613 623 633 643 653 663 672 682 692 701 711 720 730 739 748 757 766 775 784 793 802 810 819 828 836 845 853 861 869 878 886 894 902 909 917 925 933 940 948 955 963 970 977 984 992 999 1006 1012 1019 1026 1033 1040 1046 1053 10590.029 0.029 0.023 0.023 0.030 0.030 0.030 0.082 17 550 560 571 581 591 601 611 621 631 641 651 660 670 679 689 698 708 717 726 735 744 753 762 771 780 788 797 805 814 822 831 839 847 855 863 871 879 887 895 903 910 918 925 933 940 948 955 962 969 976 983 990 997 1004 1011 1017 1024 1030 1037 1043 1050
Tem
pera
ture
[R
]
8
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pera
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[R
]
1
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pera
ture
[R
]
2
Tem
pera
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3
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4
empe
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7
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Appendix G
0.028 0.028 0.022 0.022 0.029 0.029 0.029 0.079 18 550 560 570 580 590 600 610 619 629 639 648 658 667 676 685 695 704 713 722 730 739 748 757 765 774 782 791 799 807 816 824 832 840 848 856 863 871 879 886 894 901 909 916 924 931 938 945 952 959 966 973 980 986 993 1000 1006 1013 1019 1025 1032 10380.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 19 550 560 570 579 589 598 608 617 627 636 645 654 663 672 681 690 699 708 716 725 733 742 750 759 767 775 783 791 799 807 815 823 831 839 846 854 861 869 876 884 891 898 905 912 919 926 933 940 947 954 960 967 974 980 987 993 999 1006 1012 1018 10240.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 20 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 718 727 735 743 751 759 767 775 782 790 798 805 813 821 828 835 843 850 857 864 871 878 885 892 899 906 913 920 926 933 939 946 952 959 965 971 977 984 990 996 1002 10080.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 21 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 750 757 765 772 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 904 911 917 923 929 936 942 948 954 960 966 972 978 984 9890.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 22 550 559 567 575 584 592 600 609 617 625 633 641 649 657 664 672 680 687 695 703 710 718 725 732 740 747 754 761 768 775 782 789 796 803 810 816 823 830 836 843 849 856 862 868 875 881 887 893 899 905 911 917 923 929 935 941 947 952 958 963 9690.019 0.019 0.015 0.015 0.020 0.020 0.020 0.054 23 550 558 566 574 582 590 597 605 613 620 628 636 643 650 658 665 672 680 687 694 701 708 715 722 729 736 743 749 756 763 769 776 783 789 796 802 808 815 821 827 833 839 845 851 857 863 869 875 881 887 892 898 904 909 915 920 926 931 937 942 9470.017 0.017 0.014 0.014 0.018 0.018 0.018 0.049 24 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 672 679 685 692 699 705 712 718 725 731 738 744 750 756 763 769 775 781 787 793 799 805 811 817 822 828 834 840 845 851 856 862 867 873 878 883 889 894 899 904 910 915 920 9250.015 0.015 0.012 0.012 0.016 0.016 0.016 0.043 25 550 557 564 571 578 585 592 598 605 612 619 625 632 638 645 651 658 664 671 677 683 689 696 702 708 714 720 726 732 738 744 749 755 761 767 772 778 783 789 794 800 805 811 816 821 827 832 837 842 848 853 858 863 868 873 878 883 887 892 897 9020.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 26 550 557 563 570 576 583 589 595 602 608 614 620 627 633 639 645 651 657 663 669 674 680 686 692 697 703 709 714 720 725 730 736 741 747 752 757 762 768 773 778 783 788 793 798 803 808 813 818 823 827 832 837 842 846 851 856 860 865 870 874 8790.011 0.011 0.010 0.010 0.012 0.012 0.012 0.033 27 550 556 562 568 575 581 587 593 598 604 610 616 622 627 633 638 644 649 655 660 665 671 676 681 686 692 697 702 707 712 717 722 727 732 737 741 746 751 756 761 765 770 775 779 784 789 793 798 802 807 811 816 820 825 829 833 838 842 846 851 8550.010 0.010 0.009 0.009 0.010 0.010 0.010 0.029 28 550 556 562 567 573 579 584 589 595 600 605 610 615 620 625 630 635 640 645 650 655 659 664 669 674 678 683 688 692 697 701 706 711 715 720 724 729 733 737 742 746 751 755 759 764 768 772 777 781 785 789 794 798 802 806 810 814 819 823 827 8310.009 0.009 0.008 0.008 0.009 0.009 0.009 0.026 29 550 556 561 566 570 575 579 584 588 593 597 601 606 610 614 619 623 627 631 636 640 644 649 653 657 661 666 670 674 679 683 687 691 696 700 704 708 712 717 721 725 729 733 737 741 746 750 754 758 762 766 770 774 778 782 786 790 794 798 802 8060.008 0.008 0.007 0.007 0.008 0.008 0.008 0.023 30 550 552 554 557 560 563 566 569 573 576 580 584 588 591 595 599 603 607 611 615 619 623 627 631 635 639 643 647 652 656 660 664 668 672 676 680 684 688 692 696 701 705 709 713 717 721 725 729 733 737 741 745 749 753 757 760 764 768 772 776 7800.018 0.018 0.015 0.015 0.018 0.018 0.018 0.052 1 550 554 559 564 570 575 581 587 593 599 605 611 617 624 630 636 643 649 655 662 668 674 681 687 693 700 706 712 718 725 731 737 743 750 756 762 768 774 780 786 792 798 804 810 816 822 828 833 839 845 851 856 862 867 873 879 884 890 895 900 9060.020 0.020 0.016 0.016 0.020 0.020 0.020 0.056 2 550 558 566 573 581 588 595 602 609 616 622 629 636 643 649 656 663 670 676 683 689 696 703 709 716 722 729 735 741 748 754 761 767 773 779 786 792 798 804 810 816 822 828 834 840 846 852 858 864 870 875 881 887 892 898 904 909 915 920 926 9310.022 0.022 0.017 0.017 0.022 0.022 0.022 0.061 3 550 559 567 575 584 592 600 608 616 624 631 639 646 654 661 669 676 683 690 697 704 711 718 725 732 739 746 753 759 766 773 779 786 792 799 805 812 818 824 831 837 843 849 855 862 868 874 880 886 892 897 903 909 915 921 926 932 937 943 949 9540.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 4 550 559 568 577 585 594 602 611 619 628 636 644 652 660 668 676 684 692 699 707 714 722 729 737 744 751 758 765 773 780 787 793 800 807 814 821 827 834 841 847 854 860 866 873 879 885 892 898 904 910 916 922 928 934 940 946 951 957 963 968 9740.024 0.024 0.019 0.019 0.024 0.024 0.024 0.068 5 550 559 568 577 586 595 604 613 622 630 639 648 656 664 673 681 689 697 705 713 721 729 737 745 752 760 767 775 782 790 797 804 811 818 825 832 839 846 853 860 867 873 880 887 893 900 906 912 919 925 931 937 944 950 956 962 968 973 979 985 9910.025 0.025 0.020 0.020 0.025 0.025 0.025 0.071 6 550 559 569 578 587 596 606 615 624 633 641 650 659 667 676 685 693 701 710 718 726 734 742 750 758 766 774 782 789 797 805 812 819 827 834 841 849 856 863 870 877 884 890 897 904 911 917 924 930 937 943 950 956 962 968 974 981 987 993 998 10040.026 0.026 0.020 0.020 0.026 0.026 0.026 0.073 7 550 560 569 579 588 597 607 616 625 634 643 652 661 670 679 687 696 705 713 722 730 738 747 755 763 771 779 787 795 803 810 818 826 833 841 848 855 863 870 877 884 891 898 905 912 919 926 933 939 946 952 959 965 972 978 984 991 997 1003 1009 10150.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 8 550 560 569 579 589 598 608 617 626 636 645 654 663 672 681 690 698 707 716 724 733 741 750 758 766 775 783 791 799 807 815 822 830 838 846 853 861 868 876 883 890 897 904 912 919 926 932 939 946 953 959 966 973 979 986 992 998 1005 1011 1017 10230.027 0.027 0.021 0.021 0.027 0.027 0.027 0.076 9 550 560 570 579 589 599 608 618 627 637 646 655 664 673 682 691 700 709 718 726 735 744 752 761 769 777 785 794 802 810 818 826 834 841 849 857 864 872 879 887 894 902 909 916 923 930 937 944 951 958 965 971 978 984 991 997 1004 1010 1016 1023 10290.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 10 550 560 570 580 589 599 609 618 628 637 647 656 665 674 683 692 701 710 719 728 737 745 754 762 771 779 787 796 804 812 820 828 836 844 852 859 867 875 882 890 897 904 912 919 926 933 940 947 954 961 968 975 981 988 994 1001 1007 1014 1020 1026 10330.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 11 550 560 570 580 590 599 609 619 628 638 647 656 666 675 684 693 702 711 720 729 737 746 755 763 772 780 788 797 805 813 821 829 837 845 853 861 868 876 883 891 898 906 913 920 928 935 942 949 956 963 970 976 983 990 996 1003 1009 1016 1022 1028 10350.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 12 550 560 570 580 590 599 609 619 628 638 647 656 666 675 684 693 702 711 720 729 737 746 755 763 772 780 788 797 805 813 821 829 837 845 853 861 868 876 884 891 899 906 913 921 928 935 942 949 956 963 970 977 983 990 997 1003 1010 1016 1022 1029 10350.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 13 550 560 570 580 590 599 609 618 628 637 647 656 665 675 684 693 702 711 719 728 737 746 754 763 771 779 788 796 804 812 820 828 836 844 852 860 868 875 883 890 898 905 912 920 927 934 941 948 955 962 969 976 982 989 995 1002 1008 1015 1021 1028 10340.027 0.027 0.021 0.021 0.028 0.028 0.028 0.076 14 550 560 570 580 589 599 609 618 628 637 646 655 665 674 683 692 701 710 718 727 736 744 753 761 770 778 786 795 803 811 819 827 835 842 850 858 866 873 881 888 896 903 910 917 924 932 939 946 952 959 966 973 980 986 993 999 1006 1012 1018 1025 10310.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 15 550 560 570 579 589 598 608 617 627 636 645 654 663 673 681 690 699 708 717 725 734 742 751 759 767 776 784 792 800 808 816 824 832 839 847 855 862 870 877 885 892 899 907 914 921 928 935 942 948 955 962 969 975 982 988 995 1001 1007 1014 1020 10260.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 16 550 560 569 579 588 598 607 616 626 635 644 653 662 671 680 688 697 706 714 723 731 740 748 756 764 773 781 789 797 804 812 820 828 835 843 851 858 865 873 880 887 894 902 909 916 922 929 936 943 950 956 963 969 976 982 989 995 1001 1007 1014 10200.026 0.026 0.020 0.020 0.026 0.026 0.026 0.072 17 550 560 569 578 588 597 606 615 624 633 642 651 660 669 677 686 694 703 711 720 728 736 744 752 760 768 776 784 792 800 807 815 823 830 838 845 852 860 867 874 881 888 895 902 909 916 922 929 936 942 949 955 962 968 974 981 987 993 999 1005 10110.025 0.025 0.019 0.019 0.025 0.025 0.025 0.069 18 550 559 569 578 587 596 605 614 622 631 640 649 657 666 674 683 691 699 707 716 724 732 740 748 755 763 771 779 786 794 801 809 816 824 831 838 845 852 859 866 873 880 887 894 901 907 914 920 927 933 940 946 952 959 965 971 977 983 989 995 10010.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 19 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 749 757 765 772 779 787 794 801 809 816 823 830 837 844 851 857 864 871 878 884 891 897 904 910 916 923 929 935 941 947 953 959 965 971 977 983 9890.022 0.022 0.017 0.017 0.023 0.023 0.023 0.062 20 550 559 567 576 584 593 601 610 618 626 634 642 650 658 666 674 682 690 697 705 713 720 728 735 743 750 757 764 772 779 786 793 800 807 814 820 827 834 840 847 854 860 867 873 879 886 892 898 904 910 917 923 929 934 940 946 952 958 963 969 9750.020 0.020 0.016 0.016 0.021 0.021 0.021 0.058 21 550 558 567 575 583 591 599 607 615 623 631 639 646 654 662 669 677 684 691 699 706 713 721 728 735 742 749 756 763 770 776 783 790 797 803 810 816 823 829 836 842 848 854 861 867 873 879 885 891 897 903 908 914 920 926 931 937 942 948 953 9590.019 0.019 0.015 0.015 0.019 0.019 0.019 0.053 22 550 558 566 574 581 589 597 604 612 620 627 634 642 649 656 664 671 678 685 692 699 706 713 720 726 733 740 747 753 760 766 773 779 786 792 798 804 811 817 823 829 835 841 847 853 859 865 870 876 882 887 893 899 904 910 915 920 926 931 936 9420.017 0.017 0.014 0.014 0.018 0.018 0.018 0.048 23 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 671 678 685 692 698 705 711 718 724 731 737 743 749 756 762 768 774 780 786 792 798 804 810 816 821 827 833 838 844 850 855 861 866 871 877 882 887 893 898 903 908 913 918 9230.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 24 550 557 564 571 578 585 592 599 606 612 619 626 632 639 646 652 659 665 671 678 684 690 697 703 709 715 721 727 733 739 745 751 757 762 768 774 779 785 791 796 802 807 813 818 823 829 834 839 844 850 855 860 865 870 875 880 885 890 895 899 9040.014 0.014 0.011 0.011 0.014 0.014 0.014 0.039 25 550 557 563 570 577 583 590 596 602 609 615 622 628 634 640 646 653 659 665 671 677 682 688 694 700 706 711 717 723 728 734 739 745 750 756 761 766 772 777 782 787 793 798 803 808 813 818 823 828 833 838 842 847 852 857 861 866 871 875 880 8840.012 0.012 0.010 0.010 0.012 0.012 0.012 0.035 26 550 556 563 569 575 581 587 594 600 606 612 618 623 629 635 641 647 652 658 664 669 675 680 686 691 696 702 707 712 718 723 728 733 738 743 748 753 758 763 768 773 778 782 787 792 797 801 806 811 815 820 824 829 833 838 842 847 851 855 860 8640.011 0.011 0.009 0.009 0.011 0.011 0.011 0.031 27 550 556 562 568 574 580 585 591 597 602 608 614 619 624 630 635 640 646 651 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 734 739 743 748 753 757 762 766 771 775 779 784 788 793 797 801 806 810 814 818 822 827 831 835 839 8430.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 28 550 556 561 567 572 578 583 588 593 599 604 609 613 618 623 628 633 637 642 647 651 656 661 665 670 674 679 683 688 692 696 701 705 710 714 718 723 727 731 735 740 744 748 752 756 761 765 769 773 777 781 785 789 793 797 801 805 809 813 817 8210.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 29 550 555 560 565 570 574 579 583 587 591 596 600 604 608 612 617 621 625 629 633 637 642 646 650 654 658 662 666 671 675 679 683 687 691 695 699 703 707 711 715 719 723 727 731 735 739 743 747 751 755 759 763 767 771 774 778 782 786 790 794 7970.007 0.007 0.007 0.007 0.008 0.008 0.008 0.021 30 550 552 554 557 559 562 565 569 572 576 579 583 586 590 594 597 601 605 609 613 617 621 625 628 632 636 640 644 648 652 656 660 664 668 672 676 680 684 688 692 696 700 703 707 711 715 719 723 727 731 734 738 742 746 750 753 757 761 765 768 7720.021 0.021 0.017 0.017 0.021 0.021 0.021 0.058 1 550 555 560 566 572 578 585 591 598 604 611 618 624 631 638 645 652 659 666 673 680 686 693 700 707 714 721 728 735 741 748 755 762 768 775 782 788 795 801 808 814 821 827 834 840 846 853 859 865 871 878 884 890 896 902 908 914 920 925 931 9370.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 2 550 559 567 575 583 591 599 606 614 621 629 636 644 651 658 666 673 680 687 695 702 709 716 723 730 737 744 751 758 765 772 779 786 793 799 806 813 820 826 833 839 846 853 859 865 872 878 885 891 897 903 909 916 922 928 934 940 946 952 957 9630.025 0.025 0.020 0.020 0.025 0.025 0.025 0.069 3 550 559 569 578 587 595 604 613 621 630 638 646 655 663 671 679 687 694 702 710 718 725 733 740 748 755 763 770 777 785 792 799 806 813 820 827 834 841 848 855 862 868 875 882 888 895 901 908 914 920 927 933 939 946 952 958 964 970 976 982 9880.026 0.026 0.021 0.021 0.026 0.026 0.026 0.074 4 550 560 569 579 588 598 607 616 625 634 643 652 661 670 678 687 695 704 712 720 729 737 745 753 761 769 776 784 792 800 807 815 822 829 837 844 851 858 866 873 880 887 894 900 907 914 921 927 934 941 947 953 960 966 973 979 985 991 997 1003 10090.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 5 550 560 570 580 590 599 609 619 628 638 647 656 665 675 684 693 702 710 719 728 736 745 753 762 770 778 787 795 803 811 819 826 834 842 850 857 865 872 880 887 894 901 909 916 923 930 937 943 950 957 964 970 977 983 990 996 1003 1009 1015 1021 10270.029 0.029 0.023 0.023 0.029 0.029 0.029 0.081 6 550 560 571 581 591 601 611 621 630 640 650 659 669 678 688 697 706 715 724 733 742 751 760 768 777 786 794 802 811 819 827 835 843 851 859 867 875 883 890 898 905 913 920 928 935 942 949 956 963 970 977 984 991 997 1004 1010 1017 1023 1030 1036 10420.030 0.030 0.023 0.023 0.030 0.030 0.030 0.083 7 550 561 571 581 592 602 612 622 632 642 652 662 671 681 691 700 710 719 728 737 747 756 765 773 782 791 800 808 817 825 834 842 850 859 867 875 883 891 899 906 914 922 929 937 944 951 959 966 973 980 987 994 1001 1008 1015 1021 1028 1035 1041 1048 10540.031 0.031 0.024 0.024 0.031 0.031 0.031 0.085 8 550 561 571 582 592 603 613 623 634 644 654 664 673 683 693 703 712 722 731 741 750 759 768 777 786 795 804 813 822 830 839 847 856 864 872 880 889 897 905 913 920 928 936 944 951 959 966 973 981 988 995 1002 1009 1016 1023 1030 1036 1043 1050 1056 10630.031 0.031 0.024 0.024 0.031 0.031 0.031 0.087 9 550 561 572 582 593 603 614 624 635 645 655 665 675 685 695 704 714 724 733 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 885 893 901 909 917 925 933 941 948 956 964 971 979 986 993 1001 1008 1015 1022 1029 1036 1043 1049 1056 1063 10690.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 10 550 561 572 583 593 604 614 625 635 645 656 666 676 686 696 706 716 725 735 744 754 763 773 782 791 800 809 818 827 836 845 853 862 870 879 887 896 904 912 920 928 936 944 952 959 967 975 982 990 997 1004 1012 1019 1026 1033 1040 1047 1053 1060 1067 10730.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 11 550 561 572 583 593 604 615 625 636 646 656 666 676 687 696 706 716 726 736 745 755 764 774 783 792 801 810 819 828 837 846 855 863 872 880 889 897 905 914 922 930 938 946 953 961 969 976 984 992 999 1006 1014 1021 1028 1035 1042 1049 1056 1062 1069 10760.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 12 550 561 572 583 593 604 615 625 636 646 656 666 677 687 697 707 716 726 736 745 755 764 774 783 792 801 811 820 828 837 846 855 863 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1007 1014 1021 1028 1035 1042 1049 1056 1063 1069 10760.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 13 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 726 735 745 754 764 773 782 792 801 810 819 828 837 845 854 863 871 880 888 896 905 913 921 929 937 945 953 960 968 976 983 991 998 1005 1013 1020 1027 1034 1041 1048 1055 1061 1068 10750.031 0.031 0.024 0.024 0.032 0.032 0.032 0.087 14 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 715 724 734 744 753 762 772 781 790 799 808 817 826 835 843 852 861 869 878 886 894 902 910 919 927 934 942 950 958 965 973 980 988 995 1002 1010 1017 1024 1031 1038 1045 1051 1058 1065 10710.031 0.031 0.024 0.024 0.031 0.031 0.031 0.086 15 550 561 571 582 593 603 613 624 634 644 654 664 674 684 694 703 713 723 732 742 751 760 769 779 788 797 805 814 823 832 840 849 857 866 874 882 891 899 907 915 923 930 938 946 954 961 969 976 983 991 998 1005 1012 1019 1026 1033 1040 1046 1053 1060 10660.030 0.030 0.024 0.024 0.031 0.031 0.031 0.084 16 550 561 571 582 592 602 613 623 633 643 653 663 672 682 692 701 711 720 730 739 748 757 766 775 784 793 802 810 819 828 836 845 853 861 869 878 886 894 902 909 917 925 933 940 948 955 963 970 977 984 992 999 1006 1012 1019 1026 1033 1040 1046 1053 10590.029 0.029 0.023 0.023 0.030 0.030 0.030 0.082 17 550 560 571 581 591 601 611 621 631 641 651 660 670 679 689 698 708 717 726 735 744 753 762 771 780 788 797 805 814 822 831 839 847 855 863 871 879 887 895 903 910 918 925 933 940 948 955 962 969 976 983 990 997 1004 1011 1017 1024 1030 1037 1043 10500.028 0.028 0.022 0.022 0.029 0.029 0.029 0.079 18 550 560 570 580 590 600 610 619 629 639 648 658 667 676 685 695 704 713 722 730 739 748 757 765 774 782 791 799 807 816 824 832 840 848 856 863 871 879 886 894 901 909 916 924 931 938 945 952 959 966 973 980 986 993 1000 1006 1013 1019 1025 1032 10380.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 19 550 560 570 579 589 598 608 617 627 636 645 654 663 672 681 690 699 708 716 725 733 742 750 759 767 775 783 791 799 807 815 823 831 839 846 854 861 869 876 884 891 898 905 912 919 926 933 940 947 954 960 967 974 980 987 993 999 1006 1012 1018 10240.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 20 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 718 727 735 743 751 759 767 775 782 790 798 805 813 821 828 835 843 850 857 864 871 878 885 892 899 906 913 920 926 933 939 946 952 959 965 971 977 984 990 996 1002 10080.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 21 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 750 757 765 772 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 904 911 917 923 929 936 942 948 954 960 966 972 978 984 9890.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 22 550 559 567 575 584 592 600 609 617 625 633 641 649 657 664 672 680 687 695 703 710 718 725 732 740 747 754 761 768 775 782 789 796 803 810 816 823 830 836 843 849 856 862 868 875 881 887 893 899 905 911 917 923 929 935 941 947 952 958 963 9690.019 0.019 0.015 0.015 0.020 0.020 0.020 0.054 23 550 558 566 574 582 590 597 605 613 620 628 636 643 650 658 665 672 680 687 694 701 708 715 722 729 736 743 749 756 763 769 776 783 789 796 802 808 815 821 827 833 839 845 851 857 863 869 875 881 887 892 898 904 909 915 920 926 931 937 942 9470.017 0.017 0.014 0.014 0.018 0.018 0.018 0.049 24 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 672 679 685 692 699 705 712 718 725 731 738 744 750 756 763 769 775 781 787 793 799 805 811 817 822 828 834 840 845 851 856 862 867 873 878 883 889 894 899 904 910 915 920 9250.015 0.015 0.012 0.012 0.016 0.016 0.016 0.043 25 550 557 564 571 578 585 592 598 605 612 619 625 632 638 645 651 658 664 671 677 683 689 696 702 708 714 720 726 732 738 744 749 755 761 767 772 778 783 789 794 800 805 811 816 821 827 832 837 842 848 853 858 863 868 873 878 883 887 892 897 9020.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 26 550 557 563 570 576 583 589 595 602 608 614 620 627 633 639 645 651 657 663 669 674 680 686 692 697 703 709 714 720 725 730 736 741 747 752 757 762 768 773 778 783 788 793 798 803 808 813 818 823 827 832 837 842 846 851 856 860 865 870 874 8790.011 0.011 0.010 0.010 0.012 0.012 0.012 0.033 27 550 556 562 568 575 581 587 593 598 604 610 616 622 627 633 638 644 649 655 660 665 671 676 681 686 692 697 702 707 712 717 722 727 732 737 741 746 751 756 761 765 770 775 779 784 789 793 798 802 807 811 816 820 825 829 833 838 842 846 851 8550.010 0.010 0.009 0.009 0.010 0.010 0.010 0.029 28 550 556 562 567 573 579 584 589 595 600 605 610 615 620 625 630 635 640 645 650 655 659 664 669 674 678 683 688 692 697 701 706 711 715 720 724 729 733 737 742 746 751 755 759 764 768 772 777 781 785 789 794 798 802 806 810 814 819 823 827 8310.009 0.009 0.008 0.008 0.009 0.009 0.009 0.026 29 550 556 561 566 570 575 579 584 588 593 597 601 606 610 614 619 623 627 631 636 640 644 649 653 657 661 666 670 674 679 683 687 691 696 700 704 708 712 717 721 725 729 733 737 741 746 750 754 758 762 766 770 774 778 782 786 790 794 798 802 8060.008 0.008 0.007 0.007 0.008 0.008 0.008 0.023 30 550 552 554 557 560 563 566 569 573 576 580 584 588 591 595 599 603 607 611 615 619 623 627 631 635 639 643 647 652 656 660 664 668 672 676 680 684 688 692 696 701 705 709 713 717 721 725 729 733 737 741 745 749 753 757 760 764 768 772 776 7800.023 0.023 0.019 0.019 0.023 0.023 0.023 0.065 1 550 556 562 568 574 581 588 595 602 609 617 624 632 639 646 654 661 669 676 684 691 699 706 714 721 729 736 743 751 758 765 773 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 905 911 918 924 931 937 943 950 956 962 9680.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 2 550 559 569 577 586 594 603 611 619 627 635 643 651 659 667 675 683 691 699 706 714 722 730 737 745 753 760 768 775 783 790 798 805 813 820 827 834 842 849 856 863 870 877 884 891 898 905 911 918 925 931 938 945 951 958 964 970 977 983 989 9950.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 3 550 560 570 580 590 599 609 618 627 636 645 654 663 672 680 689 698 706 715 723 731 739 748 756 764 772 780 788 796 804 811 819 827 834 842 850 857 864 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 996 1002 1009 1015 10210.030 0.030 0.024 0.024 0.030 0.030 0.030 0.083 4 550 560 571 581 591 602 612 622 632 641 651 661 670 680 689 698 707 717 726 734 743 752 761 769 778 787 795 803 812 820 828 836 844 852 860 868 876 883 891 899 906 914 921 928 936 943 950 957 964 971 978 985 992 999 1005 1012 1019 1025 1032 1038 10440.031 0.031 0.025 0.025 0.031 0.031 0.031 0.087 5 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 733 743 752 761 770 779 788 797 806 815 824 832 841 849 858 866 874 882 890 898 906 914 922 930 937 945 953 960 967 975 982 989 996 1003 1010 1017 1024 1031 1038 1044 1051 1058 10640.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 6 550 561 572 583 594 605 616 627 637 648 658 669 679 689 699 709 719 729 739 749 758 768 777 787 796 805 815 824 833 842 850 859 868 876 885 893 902 910 918 926 934 942 950 958 966 974 981 989 996 1003 1011 1018 1025 1032 1039 1046 1053 1060 1067 1073 10800.034 0.034 0.027 0.027 0.034 0.034 0.034 0.094 7 550 561 573 584 595 606 617 628 639 650 661 671 682 692 703 713 723 733 743 753 763 773 783 792 802 812 821 830 839 849 858 867 876 884 893 902 910 919 927 936 944 952 960 968 976 984 992 999 1007 1015 1022 1029 1037 1044 1051 1058 1065 1072 1079 1086 10930.034 0.034 0.027 0.027 0.035 0.035 0.035 0.096 8 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 716 726 737 747 757 767 777 787 797 806 816 826 835 845 854 863 872 881 890 899 908 917 925 934 943 951 959 967 976 984 992 1000 1008 1015 1023 1031 1038 1045 1053 1060 1067 1074 1081 1088 1095 11020.035 0.035 0.028 0.028 0.035 0.035 0.035 0.098 9 550 562 573 585 597 608 619 631 642 653 664 675 686 697 707 718 728 739 749 760 770 780 790 800 810 819 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1029 1037 1044 1052 1059 1067 1074 1081 1088 1095 1102 11090.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 10 550 562 574 585 597 609 620 631 643 654 665 676 687 698 709 719 730 740 751 761 772 782 792 802 812 822 831 841 851 860 870 879 888 897 907 916 924 933 942 951 959 968 976 985 993 1001 1009 1017 1025 1033 1041 1048 1056 1063 1071 1078 1085 1093 1100 1107 11140.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 11 550 562 574 586 597 609 620 632 643 654 665 677 688 698 709 720 731 741 752 762 772 783 793 803 813 823 833 842 852 862 871 880 890 899 908 917 926 935 944 953 961 970 978 987 995 1003 1011 1019 1027 1035 1043 1050 1058 1066 1073 1080 1088 1095 1102 1109 11160.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 12 550 562 574 586 597 609 620 632 643 654 666 677 688 699 709 720 731 741 752 762 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 953 961 970 979 987 995 1003 1012 1020 1028 1035 1043 1051 1059 1066 1074 1081 1088 1095 1103 1110 11170.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 13 550 562 574 585 597 609 620 632 643 654 665 676 687 698 709 720 730 741 751 762 772 782 792 802 812 822 832 842 851 861 870 880 889 898 907 916 925 934 943 952 960 969 977 986 994 1002 1010 1018 1026 1034 1042 1050 1057 1065 1072 1079 1087 1094 1101 1108 11150.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 14 550 562 574 585 597 608 620 631 642 653 665 676 686 697 708 719 729 740 750 760 771 781 791 801 811 821 830 840 850 859 868 878 887 896 905 914 923 932 941 949 958 966 975 983 991 999 1007 1015 1023 1031 1039 1046 1054 1061 1069 1076 1083 1091 1098 1105 11120.034 0.034 0.027 0.027 0.035 0.035 0.035 0.097 15 550 562 573 585 596 608 619 630 641 652 663 674 685 696 706 717 727 738 748 758 768 778 788 798 808 818 827 837 846 856 865 874 883 892 901 910 919 928 937 945 954 962 970 979 987 995 1003 1011 1018 1026 1034 1041 1049 1056 1064 1071 1078 1085 1092 1099 11060.034 0.034 0.027 0.027 0.034 0.034 0.034 0.095 16 550 562 573 584 596 607 618 629 640 651 662 672 683 694 704 714 725 735 745 755 765 775 785 795 804 814 823 833 842 851 860 870 879 887 896 905 914 922 931 939 948 956 964 972 980 988 996 1004 1012 1019 1027 1034 1042 1049 1056 1064 1071 1078 1085 1092 10980.033 0.033 0.026 0.026 0.034 0.034 0.034 0.092 17 550 561 573 584 595 606 617 627 638 649 659 670 680 691 701 711 721 731 741 751 761 771 780 790 799 809 818 827 836 845 854 863 872 881 889 898 907 915 923 932 940 948 956 964 972 980 987 995 1003 1010 1018 1025 1032 1040 1047 1054 1061 1068 1075 1081 10880.032 0.032 0.025 0.025 0.032 0.032 0.032 0.089 18 550 561 572 583 594 604 615 625 636 646 657 667 677 687 697 707 717 727 736 746 755 765 774 784 793 802 811 820 829 838 846 855 864 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1006 1013 1021 1028 1035 1042 1048 1055 1062 1069 10750.030 0.030 0.024 0.024 0.031 0.031 0.031 0.085 19 550 561 571 582 592 603 613 623 633 643 653 663 673 683 692 702 711 721 730 739 749 758 767 776 785 794 802 811 820 828 837 845 854 862 870 878 886 894 902 910 918 926 933 941 948 956 963 971 978 985 992 999 1006 1013 1020 1027 1033 1040 1047 1053 10600.028 0.028 0.023 0.023 0.029 0.029 0.029 0.080 20 550 560 570 580 590 600 610 620 630 639 649 658 668 677 687 696 705 714 723 732 741 750 758 767 775 784 792 801 809 817 826 834 842 850 858 866 873 881 889 896 904 911 919 926 933 941 948 955 962 969 976 982 989 996 1003 1009 1016 1022 1028 1035 10410.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 21 550 560 569 579 588 598 607 617 626 635 644 653 662 671 680 689 697 706 715 723 732 740 748 757 765 773 781 789 797 805 813 821 828 836 843 851 858 866 873 880 888 895 902 909 916 923 930 937 943 950 957 963 970 976 983 989 995 1002 1008 1014 10200.024 0.024 0.019 0.019 0.025 0.025 0.025 0.067 22 550 559 568 577 586 595 604 613 622 630 639 647 656 664 673 681 689 697 705 714 722 730 737 745 753 761 768 776 784 791 799 806 813 821 828 835 842 849 856 863 870 877 884 890 897 904 910 917 923 930 936 942 949 955 961 967 973 979 985 991 9970.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 23 550 559 567 576 584 592 601 609 617 625 633 641 649 657 665 673 680 688 696 703 711 718 726 733 741 748 755 762 769 777 784 791 797 804 811 818 825 831 838 845 851 858 864 870 877 883 889 896 902 908 914 920 926 932 938 943 949 955 961 966 9720.018 0.018 0.015 0.015 0.020 0.020 0.020 0.054 24 550 558 566 574 582 589 597 605 612 620 627 635 642 650 657 664 672 679 686 693 700 707 714 721 728 735 742 748 755 762 768 775 781 788 794 801 807 813 819 826 832 838 844 850 856 862 868 874 879 885 891 897 902 908 913 919 924 930 935 941 9460.016 0.016 0.014 0.014 0.017 0.017 0.017 0.047 25 550 557 565 572 579 587 594 601 608 615 622 629 636 643 650 656 663 670 677 683 690 696 703 709 716 722 728 735 741 747 753 759 765 771 777 783 789 795 801 807 812 818 824 829 835 841 846 852 857 862 868 873 878 884 889 894 899 904 909 914 9190.014 0.014 0.012 0.012 0.015 0.015 0.015 0.041 26 550 557 564 570 577 584 591 597 604 610 617 623 630 636 643 649 655 661 667 674 680 686 692 698 704 709 715 721 727 733 738 744 749 755 761 766 772 777 782 788 793 798 804 809 814 819 824 829 835 840 845 850 855 859 864 869 874 879 884 888 8930.012 0.012 0.011 0.011 0.013 0.013 0.013 0.035 27 550 556 563 569 575 582 588 594 600 606 612 618 624 630 636 641 647 653 658 664 669 675 680 686 691 697 702 707 713 718 723 728 733 738 743 749 754 759 764 768 773 778 783 788 793 798 802 807 812 817 821 826 831 835 840 844 849 853 858 862 8670.010 0.010 0.009 0.009 0.011 0.011 0.011 0.031 28 550 556 562 568 574 579 585 591 596 601 607 612 617 623 628 633 638 643 648 653 658 663 668 673 677 682 687 692 697 701 706 711 716 720 725 730 734 739 744 748 753 757 762 766 771 775 780 784 789 793 797 802 806 811 815 819 823 828 832 836 8400.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 29 550 556 561 566 571 575 580 585 589 594 598 603 607 611 616 620 625 629 634 638 643 647 651 656 660 665 669 674 678 682 687 691 695 700 704 709 713 717 722 726 730 735 739 743 747 752 756 760 764 769 773 777 781 785 789 793 798 802 806 810 8140.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 30 550 552 554 557 560 563 567 570 574 577 581 585 589 593 597 601 605 609 613 617 621 625 629 634 638 642 646 650 655 659 663 667 672 676 680 684 688 693 697 701 705 709 714 718 722 726 730 734 739 743 747 751 755 759 763 767 771 775 779 783 7870.025 0.025 0.021 0.021 0.025 0.025 0.025 0.071 1 550 556 563 569 577 584 591 599 607 614 622 630 638 646 654 662 670 678 686 694 702 710 718 726 734 742 750 758 765 773 781 789 797 804 812 820 827 835 842 850 857 865 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 9960.028 0.028 0.023 0.023 0.028 0.028 0.028 0.078 2 550 560 570 579 588 597 606 615 624 632 641 650 658 667 675 684 692 700 709 717 726 734 742 750 758 767 775 783 791 799 807 815 823 830 838 846 854 861 869 877 884 892 899 906 914 921 928 935 942 950 957 964 970 977 984 991 998 1004 1011 1017 10240.030 0.030 0.025 0.025 0.030 0.030 0.030 0.085 3 550 561 571 582 592 602 612 622 632 642 652 661 671 680 689 698 708 717 726 735 744 752 761 770 778 787 796 804 812 821 829 837 845 854 862 870 878 885 893 901 909 916 924 932 939 947 954 961 968 976 983 990 997 1004 1011 1018 1024 1031 1038 1044 10510.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 4 550 561 572 583 594 605 616 627 637 648 658 668 679 689 699 708 718 728 738 747 757 766 775 784 794 803 812 821 829 838 847 855 864 872 881 889 897 906 914 922 930 938 946 953 961 969 976 984 991 999 1006 1013 1020 1028 1035 1042 1048 1055 1062 1069 10750.034 0.034 0.028 0.028 0.034 0.034 0.034 0.096 5 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 715 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 963 971 979 987 995 1003 1010 1018 1025 1033 1040 1047 1055 1062 1069 1076 1083 1089 10960.036 0.036 0.029 0.029 0.036 0.036 0.036 0.100 6 550 562 574 586 597 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 880 890 899 908 917 926 934 943 952 960 969 977 985 994 1002 1010 1018 1025 1033 1041 1048 1056 1063 1071 1078 1085 1092 1099 1106 11130.037 0.037 0.030 0.030 0.037 0.037 0.037 0.104 7 550 562 574 587 599 611 622 634 646 657 669 680 691 703 714 725 736 747 757 768 779 789 799 810 820 830 840 850 860 869 879 889 898 907 917 926 935 944 953 962 971 979 988 996 1005 1013 1021 1029 1037 1045 1053 1061 1068 1076 1083 1091 1098 1105 1112 1120 11270.038 0.038 0.031 0.031 0.038 0.038 0.038 0.106 8 550 562 575 587 599 612 624 636 647 659 671 682 694 705 717 728 739 750 761 772 783 793 804 814 825 835 845 855 865 875 885 895 904 914 923 933 942 951 960 969 978 987 996 1004 1013 1021 1030 1038 1046 1054 1062 1070 1078 1085 1093 1100 1108 1115 1122 1130 11370.038 0.038 0.031 0.031 0.038 0.038 0.038 0.108 9 550 563 575 588 600 612 625 637 649 661 672 684 696 707 719 730 741 753 764 775 785 796 807 818 828 839 849 859 869 879 889 899 909 919 928 938 947 956 966 975 984 993 1001 1010 1019 1027 1036 1044 1052 1060 1068 1076 1084 1092 1100 1107 1115 1122 1130 1137 11440.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 10 550 563 575 588 600 613 625 637 649 661 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 862 872 882 892 902 912 922 931 941 950 960 969 978 987 996 1005 1014 1023 1031 1040 1048 1056 1065 1073 1081 1089 1097 1104 1112 1119 1127 1134 1142 11490.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 11 550 563 576 588 601 613 625 638 650 662 674 686 698 709 721 732 744 755 766 777 788 799 810 821 832 842 853 863 873 884 894 904 913 923 933 943 952 962 971 980 989 998 1007 1016 1025 1033 1042 1050 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1137 1144 11510.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 12 550 563 576 588 601 613 626 638 650 662 674 686 698 709 721 733 744 755 766 778 789 800 810 821 832 842 853 863 874 884 894 904 914 924 933 943 952 962 971 980 990 999 1008 1016 1025 1034 1042 1051 1059 1067 1075 1084 1092 1099 1107 1115 1122 1130 1137 1145 11520.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 13 550 563 575 588 601 613 625 638 650 662 674 686 697 709 721 732 743 755 766 777 788 799 810 821 831 842 852 863 873 883 893 903 913 923 932 942 951 961 970 979 988 997 1006 1015 1024 1032 1041 1049 1058 1066 1074 1082 1090 1098 1106 1113 1121 1128 1136 1143 11500.038 0.038 0.031 0.031 0.039 0.039 0.039 0.109 14 550 563 575 588 600 613 625 637 649 661 673 685 696 708 719 731 742 753 765 776 787 797 808 819 829 840 850 861 871 881 891 901 911 920 930 939 949 958 967 977 986 995 1003 1012 1021 1029 1038 1046 1055 1063 1071 1079 1087 1095 1102 1110 1118 1125 1132 1140 11470.038 0.038 0.031 0.031 0.038 0.038 0.038 0.107 15 550 563 575 587 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 806 816 827 837 847 857 867 877 887 897 907 916 926 935 945 954 963 972 981 990 999 1008 1016 1025 1033 1041 1050 1058 1066 1074 1082 1089 1097 1105 1112 1119 1127 1134 11410.037 0.037 0.030 0.030 0.038 0.038 0.038 0.105 16 550 562 575 587 599 611 623 635 647 658 670 681 693 704 715 726 737 748 759 770 781 791 802 812 822 833 843 853 863 873 882 892 902 911 920 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1074 1082 1089 1097 1104 1111 1119 1126 11330.036 0.036 0.029 0.029 0.037 0.037 0.037 0.102 17 550 562 574 586 598 610 622 633 645 656 667 679 690 701 712 723 734 744 755 766 776 786 797 807 817 827 837 847 856 866 876 885 895 904 913 922 931 940 949 958 967 975 984 992 1000 1009 1017 1025 1033 1041 1049 1056 1064 1071 1079 1086 1094 1101 1108 1115 11220.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 18 550 562 574 585 597 608 620 631 642 653 664 675 686 697 708 718 729 739 750 760 770 780 790 800 810 820 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1028 1036 1044 1051 1059 1066 1073 1080 1087 1094 1101 11080.033 0.033 0.027 0.027 0.034 0.034 0.034 0.094 19 550 561 573 584 595 606 617 628 639 650 661 671 682 692 702 713 723 733 743 753 763 772 782 792 801 811 820 829 839 848 857 866 875 883 892 901 909 918 926 934 943 951 959 967 975 983 990 998 1006 1013 1021 1028 1035 1043 1050 1057 1064 1071 1078 1085 10910.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 20 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 725 735 744 754 763 772 782 791 800 809 818 827 835 844 853 861 870 878 886 895 903 911 919 927 935 943 950 958 966 973 981 988 995 1003 1010 1017 1024 1031 1038 1044 1051 1058 1064 10710.028 0.028 0.023 0.023 0.030 0.030 0.030 0.082 21 550 560 571 581 591 601 611 621 631 641 650 660 670 679 689 698 707 716 725 735 744 752 761 770 779 787 796 805 813 821 830 838 846 854 862 870 878 886 894 901 909 917 924 931 939 946 953 961 968 975 982 989 995 1002 1009 1015 1022 1029 1035 1041 10480.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 22 550 560 569 579 589 598 607 617 626 635 644 653 662 671 680 689 698 706 715 724 732 741 749 757 765 774 782 790 798 806 814 821 829 837 845 852 860 867 874 882 889 896 903 910 917 924 931 938 945 952 958 965 972 978 984 991 997 1003 1010 1016 10220.023 0.023 0.019 0.019 0.024 0.024 0.024 0.066 23 550 559 568 577 586 595 603 612 621 629 638 646 655 663 671 680 688 696 704 712 720 728 736 744 751 759 767 774 782 789 797 804 811 819 826 833 840 847 854 861 868 875 881 888 895 901 908 914 921 927 933 940 946 952 958 964 970 976 982 988 9940.020 0.020 0.017 0.017 0.021 0.021 0.021 0.058 24 550 558 567 575 583 591 599 607 615 623 631 639 647 655 663 670 678 685 693 700 708 715 722 730 737 744 751 758 765 772 779 786 793 800 806 813 820 826 833 839 846 852 859 865 871 877 883 890 896 902 908 914 919 925 931 937 943 948 954 959 9650.017 0.017 0.015 0.015 0.019 0.019 0.019 0.051 25 550 558 565 573 581 588 596 603 610 618 625 632 640 647 654 661 668 675 682 689 696 703 709 716 723 730 736 743 749 756 762 768 775 781 787 794 800 806 812 818 824 830 836 842 847 853 859 865 870 876 882 887 893 898 904 909 914 920 925 930 9350.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 26 550 557 564 571 578 585 592 599 606 613 619 626 633 639 646 652 659 665 672 678 684 691 697 703 709 715 721 727 733 739 745 751 757 763 769 774 780 786 791 797 802 808 813 819 824 829 835 840 845 851 856 861 866 871 876 881 886 891 896 901 9060.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 27 550 557 563 570 576 583 589 595 602 608 614 620 626 632 638 644 650 656 662 667 673 679 684 690 696 701 707 712 718 723 728 734 739 744 750 755 760 765 770 776 781 786 791 796 801 806 811 816 821 825 830 835 840 845 849 854 859 864 868 873 8770.011 0.011 0.010 0.010 0.012 0.012 0.012 0.032 28 550 556 562 568 574 580 586 592 597 603 608 614 619 624 630 635 640 645 650 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 735 739 744 749 754 758 763 768 773 777 782 786 791 796 800 805 809 814 818 823 827 832 836 840 845 8490.009 0.009 0.009 0.009 0.010 0.010 0.010 0.028 29 550 556 561 566 571 576 581 585 590 595 599 604 608 613 617 622 627 631 636 640 645 649 654 658 663 667 672 677 681 686 690 695 699 704 708 713 717 722 726 730 735 739 744 748 753 757 761 766 770 774 779 783 787 792 796 800 804 809 813 817 8210.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 557 561 564 567 571 574 578 582 586 590 594 598 602 606 610 615 619 623 627 632 636 640 644 649 653 657 662 666 670 675 679 683 688 692 696 701 705 709 714 718 722 726 731 735 739 744 748 752 756 760 765 769 773 777 781 785 790 7940.026 0.026 0.023 0.023 0.026 0.026 0.026 0.075 1 550 556 563 571 578 586 594 602 610 618 626 634 643 651 659 668 676 684 693 701 710 718 726 735 743 751 760 768 776 784 793 801 809 817 825 833 841 849 856 864 872 880 887 895 902 910 917 925 932 939 947 954 961 968 975 982 989 996 1002 1009 10160.029 0.029 0.025 0.025 0.029 0.029 0.029 0.083 2 550 561 571 580 590 599 609 618 627 636 645 654 663 672 681 690 699 708 716 725 734 742 751 760 768 777 785 794 802 810 819 827 835 844 852 860 868 876 884 892 899 907 915 923 930 938 945 953 960 968 975 982 989 996 1003 1010 1017 1024 1031 1038 10440.032 0.032 0.027 0.027 0.032 0.032 0.032 0.091 3 550 561 572 583 594 605 615 626 636 646 656 666 676 686 696 705 715 724 734 743 753 762 771 780 789 798 807 816 825 833 842 850 859 867 876 884 893 901 909 917 925 933 941 949 957 964 972 980 987 995 1002 1009 1017 1024 1031 1038 1045 1052 1059 1066 10720.034 0.034 0.029 0.029 0.034 0.034 0.034 0.098 4 550 562 573 585 596 608 619 630 641 652 663 674 685 695 706 716 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 964 972 980 988 995 1003 1011 1019 1026 1034 1041 1048 1056 1063 1070 1077 1084 1091 10980.036 0.036 0.031 0.031 0.036 0.036 0.036 0.103 5 550 562 574 586 598 610 622 634 645 657 668 679 691 702 713 723 734 745 756 766 776 787 797 807 817 827 837 847 856 866 875 885 894 903 912 921 930 939 948 957 965 974 982 990 999 1007 1015 1023 1031 1039 1046 1054 1062 1069 1077 1084 1091 1098 1105 1112 11190.038 0.038 0.032 0.032 0.038 0.038 0.038 0.107 6 550 563 575 588 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 805 816 826 836 847 857 867 877 886 896 906 915 925 934 943 952 961 970 979 988 997 1005 1014 1022 1030 1039 1047 1055 1063 1070 1078 1086 1093 1101 1108 1116 1123 1130 11370.039 0.039 0.033 0.033 0.039 0.039 0.039 0.111 7 550 563 576 588 601 614 626 638 651 663 675 687 698 710 722 733 745 756 767 779 790 801 812 822 833 844 854 864 875 885 895 905 915 924 934 944 953 963 972 981 990 999 1008 1017 1025 1034 1042 1051 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1136 1144 11510.040 0.040 0.034 0.034 0.040 0.040 0.040 0.113 8 550 563 576 589 602 615 627 640 652 665 677 689 701 713 725 737 748 760 771 783 794 805 816 827 838 849 859 870 880 891 901 911 921 931 941 951 960 970 979 989 998 1007 1016 1025 1034 1043 1051 1060 1068 1076 1085 1093 1101 1109 1117 1124 1132 1139 1147 1154 11610.040 0.040 0.034 0.034 0.041 0.041 0.041 0.115 9 550 563 576 590 603 615 628 641 654 666 678 691 703 715 727 739 751 763 774 786 797 808 820 831 842 853 863 874 885 895 906 916 926 936 946 956 966 975 985 994 1004 1013 1022 1031 1040 1049 1058 1066 1075 1083 1091 1100 1108 1116 1124 1131 1139 1147 1154 1162 11690.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 10 550 563 577 590 603 616 629 642 654 667 680 692 704 716 729 741 752 764 776 788 799 811 822 833 844 855 866 877 888 898 909 919 929 939 949 959 969 979 989 998 1008 1017 1026 1035 1044 1053 1062 1071 1079 1088 1096 1104 1112 1120 1128 1136 1144 1151 1159 1166 11740.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 11 550 563 577 590 603 616 629 642 655 668 680 693 705 717 729 741 753 765 777 789 800 812 823 834 845 857 867 878 889 900 910 921 931 941 951 961 971 981 991 1000 1010 1019 1028 1037 1046 1055 1064 1073 1081 1090 1098 1107 1115 1123 1131 1139 1146 1154 1162 1169 11760.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 12 550 563 577 590 603 616 629 642 655 668 680 693 705 717 730 742 754 765 777 789 800 812 823 835 846 857 868 879 889 900 910 921 931 941 952 962 971 981 991 1001 1010 1019 1029 1038 1047 1056 1065 1073 1082 1090 1099 1107 1115 1123 1131 1139 1147 1155 1162 1170 11770.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 13 550 563 577 590 603 616 629 642 655 667 680 692 705 717 729 741 753 765 777 788 800 811 823 834 845 856 867 878 888 899 910 920 930 940 951 961 970 980 990 999 1009 1018 1027 1037 1046 1054 1063 1072 1081 1089 1097 1106 1114 1122 1130 1138 1146 1153 1161 1168 11760.040 0.040 0.034 0.034 0.041 0.041 0.041 0.116 14 550 563 577 590 603 616 629 641 654 667 679 691 704 716 728 740 752 764 775 787 798 810 821 832 843 854 865 876 886 897 907 918 928 938 948 958 968 978 987 997 1006 1015 1024 1034 1043 1051 1060 1069 1077 1086 1094 1102 1111 1119 1127 1134 1142 1150 1157 1165 11720.040 0.040 0.034 0.034 0.041 0.041 0.041 0.114 15 550 563 576 589 602 615 628 640 653 665 678 690 702 714 726 738 750 761 773 784 796 807 818 829 840 851 862 872 883 893 904 914 924 934 944 954 964 973 983 992 1001 1011 1020 1029 1038 1046 1055 1064 1072 1081 1089 1097 1105 1113 1121 1129 1136 1144 1151 1159 11660.039 0.039 0.033 0.033 0.040 0.040 0.040 0.112 16 550 563 576 589 602 614 627 639 652 664 676 688 700 712 724 735 747 758 770 781 792 803 814 825 836 847 857 868 878 888 898 909 919 928 938 948 958 967 976 986 995 1004 1013 1022 1031 1039 1048 1056 1065 1073 1081 1089 1097 1105 1113 1121 1128 1136 1143 1150 11580.038 0.038 0.032 0.032 0.039 0.039 0.039 0.109 17 550 563 575 588 601 613 625 637 650 662 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 861 871 882 892 901 911 921 931 940 949 959 968 977 986 995 1004 1013 1021 1030 1038 1047 1055 1063 1071 1079 1087 1095 1102 1110 1117 1125 1132 1139 11460.036 0.036 0.031 0.031 0.038 0.038 0.038 0.105 18 550 562 575 587 599 611 623 635 647 659 670 682 693 704 716 727 738 749 760 770 781 792 802 812 823 833 843 853 863 873 883 892 902 911 921 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1073 1081 1089 1096 1103 1111 1118 1125 11320.035 0.035 0.030 0.030 0.036 0.036 0.036 0.101 19 550 562 574 586 598 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 952 961 969 978 986 994 1002 1010 1018 1026 1034 1042 1049 1057 1064 1072 1079 1086 1093 1100 1107 11140.032 0.032 0.028 0.028 0.034 0.034 0.034 0.094 20 550 561 573 584 595 607 618 629 639 650 661 672 682 693 703 713 724 734 744 754 764 773 783 793 802 812 821 830 840 849 858 867 876 885 893 902 911 919 928 936 944 952 960 968 976 984 992 1000 1007 1015 1022 1030 1037 1044 1052 1059 1066 1073 1079 1086 10930.030 0.030 0.026 0.026 0.032 0.032 0.032 0.087 21 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 734 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 884 893 901 909 917 925 933 940 948 956 963 971 978 986 993 1000 1007 1014 1021 1028 1035 1042 1049 1055 1062 10680.027 0.027 0.023 0.023 0.029 0.029 0.029 0.079 22 550 560 570 580 590 600 610 620 629 639 649 658 667 677 686 695 704 713 722 731 740 749 758 766 775 783 792 800 809 817 825 833 841 849 857 865 873 880 888 896 903 911 918 925 933 940 947 954 961 968 975 982 989 995 1002 1009 1015 1022 1028 1034 10410.024 0.024 0.021 0.021 0.026 0.026 0.026 0.071 23 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 719 727 735 743 751 759 767 775 783 791 799 807 814 822 829 837 844 851 859 866 873 880 887 894 901 908 915 922 928 935 942 948 955 961 968 974 980 986 992 999 1005 10110.021 0.021 0.018 0.018 0.023 0.023 0.023 0.062 24 550 559 567 576 584 593 601 610 618 626 634 643 651 659 667 675 683 690 698 706 714 721 729 736 744 751 759 766 773 780 788 795 802 809 816 823 830 836 843 850 857 863 870 876 883 889 895 902 908 914 920 926 933 939 945 950 956 962 968 974 9790.018 0.018 0.016 0.016 0.020 0.020 0.020 0.053 25 550 558 566 574 582 589 597 605 612 620 628 635 643 650 657 665 672 679 686 693 701 708 715 722 728 735 742 749 756 762 769 776 782 789 795 801 808 814 820 827 833 839 845 851 857 863 869 875 881 886 892 898 904 909 915 920 926 931 937 942 9480.015 0.015 0.014 0.014 0.017 0.017 0.017 0.046 26 550 557 565 572 579 586 593 600 607 614 621 628 635 642 649 655 662 669 675 682 688 695 701 707 714 720 726 732 739 745 751 757 763 769 775 780 786 792 798 804 809 815 821 826 832 837 843 848 854 859 864 870 875 880 886 891 896 901 906 911 9160.013 0.013 0.012 0.012 0.014 0.014 0.014 0.039 27 550 557 563 570 577 583 590 596 603 609 615 622 628 634 640 646 652 658 664 670 676 682 688 693 699 705 710 716 722 727 733 738 744 749 754 760 765 770 776 781 786 791 797 802 807 812 817 822 827 832 837 842 847 852 857 862 866 871 876 881 8850.011 0.011 0.010 0.010 0.012 0.012 0.012 0.034 28 550 556 562 569 575 581 586 592 598 604 609 615 620 626 631 636 642 647 652 658 663 668 673 678 683 689 694 699 704 709 714 719 724 729 734 738 743 748 753 758 763 768 772 777 782 787 791 796 801 805 810 815 819 824 829 833 838 842 847 851 8560.010 0.010 0.009 0.009 0.011 0.011 0.011 0.029 29 550 556 561 566 571 576 581 586 591 595 600 605 609 614 619 623 628 632 637 642 646 651 656 660 665 670 674 679 683 688 693 697 702 706 711 716 720 725 729 734 738 743 747 752 756 761 765 770 774 779 783 787 792 796 801 805 809 814 818 822 8270.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 558 561 564 568 571 575 579 583 587 591 595 599 603 607 611 616 620 624 629 633 637 642 646 651 655 659 664 668 673 677 681 686 690 695 699 704 708 712 717 721 726 730 734 739 743 747 752 756 760 765 769 773 777 782 786 790 794 7990.026 0.026 0.023 0.023 0.026 0.026 0.026 0.075 1 550 556 563 571 578 586 594 602 610 618 626 634 643 651 659 668 676 684 693 701 710 718 726 735 743 751 760 768 776 784 793 801 809 817 825 833 841 849 856 864 872 880 887 895 902 910 917 925 932 939 947 954 961 968 975 982 989 996 1002 1009 10160.029 0.029 0.025 0.025 0.029 0.029 0.029 0.083 2 550 561 571 580 590 599 609 618 627 636 645 654 663 672 681 690 699 708 716 725 734 742 751 760 768 777 785 794 802 810 819 827 835 844 852 860 868 876 884 892 899 907 915 923 930 938 945 953 960 968 975 982 989 996 1003 1010 1017 1024 1031 1038 10440.032 0.032 0.027 0.027 0.032 0.032 0.032 0.091 3 550 561 572 583 594 605 615 626 636 646 656 666 676 686 696 705 715 724 734 743 753 762 771 780 789 798 807 816 825 833 842 850 859 867 876 884 893 901 909 917 925 933 941 949 957 964 972 980 987 995 1002 1009 1017 1024 1031 1038 1045 1052 1059 1066 10720.034 0.034 0.029 0.029 0.034 0.034 0.034 0.098 4 550 562 573 585 596 608 619 630 641 652 663 674 685 695 706 716 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 964 972 980 988 995 1003 1011 1019 1026 1034 1041 1048 1056 1063 1070 1077 1084 1091 10980.036 0.036 0.031 0.031 0.036 0.036 0.036 0.103 5 550 562 574 586 598 610 622 634 645 657 668 679 691 702 713 723 734 745 756 766 776 787 797 807 817 827 837 847 856 866 875 885 894 903 912 921 930 939 948 957 965 974 982 990 999 1007 1015 1023 1031 1039 1046 1054 1062 1069 1077 1084 1091 1098 1105 1112 11190.038 0.038 0.032 0.032 0.038 0.038 0.038 0.107 6 550 563 575 588 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 805 816 826 836 847 857 867 877 886 896 906 915 925 934 943 952 961 970 979 988 997 1005 1014 1022 1030 1039 1047 1055 1063 1070 1078 1086 1093 1101 1108 1116 1123 1130 11370.039 0.039 0.033 0.033 0.039 0.039 0.039 0.111 7 550 563 576 588 601 614 626 638 651 663 675 687 698 710 722 733 745 756 767 779 790 801 812 822 833 844 854 864 875 885 895 905 915 924 934 944 953 963 972 981 990 999 1008 1017 1025 1034 1042 1051 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1136 1144 11510.040 0.040 0.034 0.034 0.040 0.040 0.040 0.113 8 550 563 576 589 602 615 627 640 652 665 677 689 701 713 725 737 748 760 771 783 794 805 816 827 838 849 859 870 880 891 901 911 921 931 941 951 960 970 979 989 998 1007 1016 1025 1034 1043 1051 1060 1068 1076 1085 1093 1101 1109 1117 1124 1132 1139 1147 1154 11610.040 0.040 0.034 0.034 0.041 0.041 0.041 0.115 9 550 563 576 590 603 615 628 641 654 666 678 691 703 715 727 739 751 763 774 786 797 808 820 831 842 853 863 874 885 895 906 916 926 936 946 956 966 975 985 994 1004 1013 1022 1031 1040 1049 1058 1066 1075 1083 1091 1100 1108 1116 1124 1131 1139 1147 1154 1162 11690.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 10 550 563 577 590 603 616 629 642 654 667 680 692 704 716 729 741 752 764 776 788 799 811 822 833 844 855 866 877 888 898 909 919 929 939 949 959 969 979 989 998 1008 1017 1026 1035 1044 1053 1062 1071 1079 1088 1096 1104 1112 1120 1128 1136 1144 1151 1159 1166 11740.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 11 550 563 577 590 603 616 629 642 655 668 680 693 705 717 729 741 753 765 777 789 800 812 823 834 845 857 867 878 889 900 910 921 931 941 951 961 971 981 991 1000 1010 1019 1028 1037 1046 1055 1064 1073 1081 1090 1098 1107 1115 1123 1131 1139 1146 1154 1162 1169 11760.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 12 550 563 577 590 603 616 629 642 655 668 680 693 705 717 730 742 754 765 777 789 800 812 823 835 846 857 868 879 889 900 910 921 931 941 952 962 971 981 991 1001 1010 1019 1029 1038 1047 1056 1065 1073 1082 1090 1099 1107 1115 1123 1131 1139 1147 1155 1162 1170 11770.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 13 550 563 577 590 603 616 629 642 655 667 680 692 705 717 729 741 753 765 777 788 800 811 823 834 845 856 867 878 888 899 910 920 930 940 951 961 970 980 990 999 1009 1018 1027 1037 1046 1054 1063 1072 1081 1089 1097 1106 1114 1122 1130 1138 1146 1153 1161 1168 11760.040 0.040 0.034 0.034 0.041 0.041 0.041 0.116 14 550 563 577 590 603 616 629 641 654 667 679 691 704 716 728 740 752 764 775 787 798 810 821 832 843 854 865 876 886 897 907 918 928 938 948 958 968 978 987 997 1006 1015 1024 1034 1043 1051 1060 1069 1077 1086 1094 1102 1111 1119 1127 1134 1142 1150 1157 1165 11720.040 0.040 0.034 0.034 0.041 0.041 0.041 0.114 15 550 563 576 589 602 615 628 640 653 665 678 690 702 714 726 738 750 761 773 784 796 807 818 829 840 851 862 872 883 893 904 914 924 934 944 954 964 973 983 992 1001 1011 1020 1029 1038 1046 1055 1064 1072 1081 1089 1097 1105 1113 1121 1129 1136 1144 1151 1159 11660.039 0.039 0.033 0.033 0.040 0.040 0.040 0.112 16 550 563 576 589 602 614 627 639 652 664 676 688 700 712 724 735 747 758 770 781 792 803 814 825 836 847 857 868 878 888 898 909 919 928 938 948 958 967 976 986 995 1004 1013 1022 1031 1039 1048 1056 1065 1073 1081 1089 1097 1105 1113 1121 1128 1136 1143 1150 11580.038 0.038 0.032 0.032 0.039 0.039 0.039 0.109 17 550 563 575 588 601 613 625 637 650 662 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 861 871 882 892 901 911 921 931 940 949 959 968 977 986 995 1004 1013 1021 1030 1038 1047 1055 1063 1071 1079 1087 1095 1102 1110 1117 1125 1132 1139 11460.036 0.036 0.031 0.031 0.038 0.038 0.038 0.105 18 550 562 575 587 599 611 623 635 647 659 670 682 693 704 716 727 738 749 760 770 781 792 802 812 823 833 843 853 863 873 883 892 902 911 921 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1073 1081 1089 1096 1103 1111 1118 1125 11320.035 0.035 0.030 0.030 0.036 0.036 0.036 0.101 19 550 562 574 586 598 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 952 961 969 978 986 994 1002 1010 1018 1026 1034 1042 1049 1057 1064 1072 1079 1086 1093 1100 1107 11140.032 0.032 0.028 0.028 0.034 0.034 0.034 0.094 20 550 561 573 584 595 607 618 629 639 650 661 672 682 693 703 713 724 734 744 754 764 773 783 793 802 812 821 830 840 849 858 867 876 885 893 902 911 919 928 936 944 952 960 968 976 984 992 1000 1007 1015 1022 1030 1037 1044 1052 1059 1066 1073 1079 1086 10930.030 0.030 0.026 0.026 0.032 0.032 0.032 0.087 21 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 734 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 884 893 901 909 917 925 933 940 948 956 963 971 978 986 993 1000 1007 1014 1021 1028 1035 1042 1049 1055 1062 10680.027 0.027 0.023 0.023 0.029 0.029 0.029 0.079 22 550 560 570 580 590 600 610 620 629 639 649 658 667 677 686 695 704 713 722 731 740 749 758 766 775 783 792 800 809 817 825 833 841 849 857 865 873 880 888 896 903 911 918 925 933 940 947 954 961 968 975 982 989 995 1002 1009 1015 1022 1028 1034 10410.024 0.024 0.021 0.021 0.026 0.026 0.026 0.071 23 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 719 727 735 743 751 759 767 775 783 791 799 807 814 822 829 837 844 851 859 866 873 880 887 894 901 908 915 922 928 935 942 948 955 961 968 974 980 986 992 999 1005 10110.021 0.021 0.018 0.018 0.023 0.023 0.023 0.062 24 550 559 567 576 584 593 601 610 618 626 634 643 651 659 667 675 683 690 698 706 714 721 729 736 744 751 759 766 773 780 788 795 802 809 816 823 830 836 843 850 857 863 870 876 883 889 895 902 908 914 920 926 933 939 945 950 956 962 968 974 9790.018 0.018 0.016 0.016 0.020 0.020 0.020 0.053 25 550 558 566 574 582 589 597 605 612 620 628 635 643 650 657 665 672 679 686 693 701 708 715 722 728 735 742 749 756 762 769 776 782 789 795 801 808 814 820 827 833 839 845 851 857 863 869 875 881 886 892 898 904 909 915 920 926 931 937 942 9480.015 0.015 0.014 0.014 0.017 0.017 0.017 0.046 26 550 557 565 572 579 586 593 600 607 614 621 628 635 642 649 655 662 669 675 682 688 695 701 707 714 720 726 732 739 745 751 757 763 769 775 780 786 792 798 804 809 815 821 826 832 837 843 848 854 859 864 870 875 880 886 891 896 901 906 911 9160.013 0.013 0.012 0.012 0.014 0.014 0.014 0.039 27 550 557 563 570 577 583 590 596 603 609 615 622 628 634 640 646 652 658 664 670 676 682 688 693 699 705 710 716 722 727 733 738 744 749 754 760 765 770 776 781 786 791 797 802 807 812 817 822 827 832 837 842 847 852 857 862 866 871 876 881 885
2
Te
5
Tem
pera
ture
[R
]
6
Tem
pera
ture
[R
]
1
Tem
pera
ture
[R
]
7
Tem
pera
ture
[R
]
8
Tem
pera
ture
[R
]
9
Tem
pera
ture
[R
]
4 of 6
Appendix G
0.011 0.011 0.010 0.010 0.012 0.012 0.012 0.034 28 550 556 562 569 575 581 586 592 598 604 609 615 620 626 631 636 642 647 652 658 663 668 673 678 683 689 694 699 704 709 714 719 724 729 734 738 743 748 753 758 763 768 772 777 782 787 791 796 801 805 810 815 819 824 829 833 838 842 847 851 8560.010 0.010 0.009 0.009 0.011 0.011 0.011 0.029 29 550 556 561 566 571 576 581 586 591 595 600 605 609 614 619 623 628 632 637 642 646 651 656 660 665 670 674 679 683 688 693 697 702 706 711 716 720 725 729 734 738 743 747 752 756 761 765 770 774 779 783 787 792 796 801 805 809 814 818 822 8270.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 558 561 564 568 571 575 579 583 587 591 595 599 603 607 611 616 620 624 629 633 637 642 646 651 655 659 664 668 673 677 681 686 690 695 699 704 708 712 717 721 726 730 734 739 743 747 752 756 760 765 769 773 777 782 786 790 794 7990.025 0.025 0.021 0.021 0.025 0.025 0.025 0.071 1 550 556 563 569 577 584 591 599 607 614 622 630 638 646 654 662 670 678 686 694 702 710 718 726 734 742 750 758 765 773 781 789 797 804 812 820 827 835 842 850 857 865 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 9960.028 0.028 0.023 0.023 0.028 0.028 0.028 0.078 2 550 560 570 579 588 597 606 615 624 632 641 650 658 667 675 684 692 700 709 717 726 734 742 750 758 767 775 783 791 799 807 815 823 830 838 846 854 861 869 877 884 892 899 906 914 921 928 935 942 950 957 964 970 977 984 991 998 1004 1011 1017 10240.030 0.030 0.025 0.025 0.030 0.030 0.030 0.085 3 550 561 571 582 592 602 612 622 632 642 652 661 671 680 689 698 708 717 726 735 744 752 761 770 778 787 796 804 812 821 829 837 845 854 862 870 878 885 893 901 909 916 924 932 939 947 954 961 968 976 983 990 997 1004 1011 1018 1024 1031 1038 1044 10510.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 4 550 561 572 583 594 605 616 627 637 648 658 668 679 689 699 708 718 728 738 747 757 766 775 784 794 803 812 821 829 838 847 855 864 872 881 889 897 906 914 922 930 938 946 953 961 969 976 984 991 999 1006 1013 1020 1028 1035 1042 1048 1055 1062 1069 10750.034 0.034 0.028 0.028 0.034 0.034 0.034 0.096 5 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 715 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 963 971 979 987 995 1003 1010 1018 1025 1033 1040 1047 1055 1062 1069 1076 1083 1089 10960.036 0.036 0.029 0.029 0.036 0.036 0.036 0.100 6 550 562 574 586 597 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 880 890 899 908 917 926 934 943 952 960 969 977 985 994 1002 1010 1018 1025 1033 1041 1048 1056 1063 1071 1078 1085 1092 1099 1106 11130.037 0.037 0.030 0.030 0.037 0.037 0.037 0.104 7 550 562 574 587 599 611 622 634 646 657 669 680 691 703 714 725 736 747 757 768 779 789 799 810 820 830 840 850 860 869 879 889 898 907 917 926 935 944 953 962 971 979 988 996 1005 1013 1021 1029 1037 1045 1053 1061 1068 1076 1083 1091 1098 1105 1112 1120 11270.038 0.038 0.031 0.031 0.038 0.038 0.038 0.106 8 550 562 575 587 599 612 624 636 647 659 671 682 694 705 717 728 739 750 761 772 783 793 804 814 825 835 845 855 865 875 885 895 904 914 923 933 942 951 960 969 978 987 996 1004 1013 1021 1030 1038 1046 1054 1062 1070 1078 1085 1093 1100 1108 1115 1122 1130 11370.038 0.038 0.031 0.031 0.038 0.038 0.038 0.108 9 550 563 575 588 600 612 625 637 649 661 672 684 696 707 719 730 741 753 764 775 785 796 807 818 828 839 849 859 869 879 889 899 909 919 928 938 947 956 966 975 984 993 1001 1010 1019 1027 1036 1044 1052 1060 1068 1076 1084 1092 1100 1107 1115 1122 1130 1137 11440.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 10 550 563 575 588 600 613 625 637 649 661 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 862 872 882 892 902 912 922 931 941 950 960 969 978 987 996 1005 1014 1023 1031 1040 1048 1056 1065 1073 1081 1089 1097 1104 1112 1119 1127 1134 1142 11490.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 11 550 563 576 588 601 613 625 638 650 662 674 686 698 709 721 732 744 755 766 777 788 799 810 821 832 842 853 863 873 884 894 904 913 923 933 943 952 962 971 980 989 998 1007 1016 1025 1033 1042 1050 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1137 1144 11510.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 12 550 563 576 588 601 613 626 638 650 662 674 686 698 709 721 733 744 755 766 778 789 800 810 821 832 842 853 863 874 884 894 904 914 924 933 943 952 962 971 980 990 999 1008 1016 1025 1034 1042 1051 1059 1067 1075 1084 1092 1099 1107 1115 1122 1130 1137 1145 11520.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 13 550 563 575 588 601 613 625 638 650 662 674 686 697 709 721 732 743 755 766 777 788 799 810 821 831 842 852 863 873 883 893 903 913 923 932 942 951 961 970 979 988 997 1006 1015 1024 1032 1041 1049 1058 1066 1074 1082 1090 1098 1106 1113 1121 1128 1136 1143 11500.038 0.038 0.031 0.031 0.039 0.039 0.039 0.109 14 550 563 575 588 600 613 625 637 649 661 673 685 696 708 719 731 742 753 765 776 787 797 808 819 829 840 850 861 871 881 891 901 911 920 930 939 949 958 967 977 986 995 1003 1012 1021 1029 1038 1046 1055 1063 1071 1079 1087 1095 1102 1110 1118 1125 1132 1140 11470.038 0.038 0.031 0.031 0.038 0.038 0.038 0.107 15 550 563 575 587 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 806 816 827 837 847 857 867 877 887 897 907 916 926 935 945 954 963 972 981 990 999 1008 1016 1025 1033 1041 1050 1058 1066 1074 1082 1089 1097 1105 1112 1119 1127 1134 11410.037 0.037 0.030 0.030 0.038 0.038 0.038 0.105 16 550 562 575 587 599 611 623 635 647 658 670 681 693 704 715 726 737 748 759 770 781 791 802 812 822 833 843 853 863 873 882 892 902 911 920 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1074 1082 1089 1097 1104 1111 1119 1126 11330.036 0.036 0.029 0.029 0.037 0.037 0.037 0.102 17 550 562 574 586 598 610 622 633 645 656 667 679 690 701 712 723 734 744 755 766 776 786 797 807 817 827 837 847 856 866 876 885 895 904 913 922 931 940 949 958 967 975 984 992 1000 1009 1017 1025 1033 1041 1049 1056 1064 1071 1079 1086 1094 1101 1108 1115 11220.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 18 550 562 574 585 597 608 620 631 642 653 664 675 686 697 708 718 729 739 750 760 770 780 790 800 810 820 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1028 1036 1044 1051 1059 1066 1073 1080 1087 1094 1101 11080.033 0.033 0.027 0.027 0.034 0.034 0.034 0.094 19 550 561 573 584 595 606 617 628 639 650 661 671 682 692 702 713 723 733 743 753 763 772 782 792 801 811 820 829 839 848 857 866 875 883 892 901 909 918 926 934 943 951 959 967 975 983 990 998 1006 1013 1021 1028 1035 1043 1050 1057 1064 1071 1078 1085 10910.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 20 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 725 735 744 754 763 772 782 791 800 809 818 827 835 844 853 861 870 878 886 895 903 911 919 927 935 943 950 958 966 973 981 988 995 1003 1010 1017 1024 1031 1038 1044 1051 1058 1064 10710.028 0.028 0.023 0.023 0.030 0.030 0.030 0.082 21 550 560 571 581 591 601 611 621 631 641 650 660 670 679 689 698 707 716 725 735 744 752 761 770 779 787 796 805 813 821 830 838 846 854 862 870 878 886 894 901 909 917 924 931 939 946 953 961 968 975 982 989 995 1002 1009 1015 1022 1029 1035 1041 10480.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 22 550 560 569 579 589 598 607 617 626 635 644 653 662 671 680 689 698 706 715 724 732 741 749 757 765 774 782 790 798 806 814 821 829 837 845 852 860 867 874 882 889 896 903 910 917 924 931 938 945 952 958 965 972 978 984 991 997 1003 1010 1016 10220.023 0.023 0.019 0.019 0.024 0.024 0.024 0.066 23 550 559 568 577 586 595 603 612 621 629 638 646 655 663 671 680 688 696 704 712 720 728 736 744 751 759 767 774 782 789 797 804 811 819 826 833 840 847 854 861 868 875 881 888 895 901 908 914 921 927 933 940 946 952 958 964 970 976 982 988 9940.020 0.020 0.017 0.017 0.021 0.021 0.021 0.058 24 550 558 567 575 583 591 599 607 615 623 631 639 647 655 663 670 678 685 693 700 708 715 722 730 737 744 751 758 765 772 779 786 793 800 806 813 820 826 833 839 846 852 859 865 871 877 883 890 896 902 908 914 919 925 931 937 943 948 954 959 9650.017 0.017 0.015 0.015 0.019 0.019 0.019 0.051 25 550 558 565 573 581 588 596 603 610 618 625 632 640 647 654 661 668 675 682 689 696 703 709 716 723 730 736 743 749 756 762 768 775 781 787 794 800 806 812 818 824 830 836 842 847 853 859 865 870 876 882 887 893 898 904 909 914 920 925 930 9350.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 26 550 557 564 571 578 585 592 599 606 613 619 626 633 639 646 652 659 665 672 678 684 691 697 703 709 715 721 727 733 739 745 751 757 763 769 774 780 786 791 797 802 808 813 819 824 829 835 840 845 851 856 861 866 871 876 881 886 891 896 901 9060.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 27 550 557 563 570 576 583 589 595 602 608 614 620 626 632 638 644 650 656 662 667 673 679 684 690 696 701 707 712 718 723 728 734 739 744 750 755 760 765 770 776 781 786 791 796 801 806 811 816 821 825 830 835 840 845 849 854 859 864 868 873 8770.011 0.011 0.010 0.010 0.012 0.012 0.012 0.032 28 550 556 562 568 574 580 586 592 597 603 608 614 619 624 630 635 640 645 650 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 735 739 744 749 754 758 763 768 773 777 782 786 791 796 800 805 809 814 818 823 827 832 836 840 845 8490.009 0.009 0.009 0.009 0.010 0.010 0.010 0.028 29 550 556 561 566 571 576 581 585 590 595 599 604 608 613 617 622 627 631 636 640 645 649 654 658 663 667 672 677 681 686 690 695 699 704 708 713 717 722 726 730 735 739 744 748 753 757 761 766 770 774 779 783 787 792 796 800 804 809 813 817 8210.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 557 561 564 567 571 574 578 582 586 590 594 598 602 606 610 615 619 623 627 632 636 640 644 649 653 657 662 666 670 675 679 683 688 692 696 701 705 709 714 718 722 726 731 735 739 744 748 752 756 760 765 769 773 777 781 785 790 7940.023 0.023 0.019 0.019 0.023 0.023 0.023 0.065 1 550 556 562 568 574 581 588 595 602 609 617 624 632 639 646 654 661 669 676 684 691 699 706 714 721 729 736 743 751 758 765 773 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 905 911 918 924 931 937 943 950 956 962 9680.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 2 550 559 569 577 586 594 603 611 619 627 635 643 651 659 667 675 683 691 699 706 714 722 730 737 745 753 760 768 775 783 790 798 805 813 820 827 834 842 849 856 863 870 877 884 891 898 905 911 918 925 931 938 945 951 958 964 970 977 983 989 9950.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 3 550 560 570 580 590 599 609 618 627 636 645 654 663 672 680 689 698 706 715 723 731 739 748 756 764 772 780 788 796 804 811 819 827 834 842 850 857 864 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 996 1002 1009 1015 10210.030 0.030 0.024 0.024 0.030 0.030 0.030 0.083 4 550 560 571 581 591 602 612 622 632 641 651 661 670 680 689 698 707 717 726 734 743 752 761 769 778 787 795 803 812 820 828 836 844 852 860 868 876 883 891 899 906 914 921 928 936 943 950 957 964 971 978 985 992 999 1005 1012 1019 1025 1032 1038 10440.031 0.031 0.025 0.025 0.031 0.031 0.031 0.087 5 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 733 743 752 761 770 779 788 797 806 815 824 832 841 849 858 866 874 882 890 898 906 914 922 930 937 945 953 960 967 975 982 989 996 1003 1010 1017 1024 1031 1038 1044 1051 1058 10640.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 6 550 561 572 583 594 605 616 627 637 648 658 669 679 689 699 709 719 729 739 749 758 768 777 787 796 805 815 824 833 842 850 859 868 876 885 893 902 910 918 926 934 942 950 958 966 974 981 989 996 1003 1011 1018 1025 1032 1039 1046 1053 1060 1067 1073 10800.034 0.034 0.027 0.027 0.034 0.034 0.034 0.094 7 550 561 573 584 595 606 617 628 639 650 661 671 682 692 703 713 723 733 743 753 763 773 783 792 802 812 821 830 839 849 858 867 876 884 893 902 910 919 927 936 944 952 960 968 976 984 992 999 1007 1015 1022 1029 1037 1044 1051 1058 1065 1072 1079 1086 10930.034 0.034 0.027 0.027 0.035 0.035 0.035 0.096 8 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 716 726 737 747 757 767 777 787 797 806 816 826 835 845 854 863 872 881 890 899 908 917 925 934 943 951 959 967 976 984 992 1000 1008 1015 1023 1031 1038 1045 1053 1060 1067 1074 1081 1088 1095 11020.035 0.035 0.028 0.028 0.035 0.035 0.035 0.098 9 550 562 573 585 597 608 619 631 642 653 664 675 686 697 707 718 728 739 749 760 770 780 790 800 810 819 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1029 1037 1044 1052 1059 1067 1074 1081 1088 1095 1102 11090.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 10 550 562 574 585 597 609 620 631 643 654 665 676 687 698 709 719 730 740 751 761 772 782 792 802 812 822 831 841 851 860 870 879 888 897 907 916 924 933 942 951 959 968 976 985 993 1001 1009 1017 1025 1033 1041 1048 1056 1063 1071 1078 1085 1093 1100 1107 11140.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 11 550 562 574 586 597 609 620 632 643 654 665 677 688 698 709 720 731 741 752 762 772 783 793 803 813 823 833 842 852 862 871 880 890 899 908 917 926 935 944 953 961 970 978 987 995 1003 1011 1019 1027 1035 1043 1050 1058 1066 1073 1080 1088 1095 1102 1109 11160.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 12 550 562 574 586 597 609 620 632 643 654 666 677 688 699 709 720 731 741 752 762 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 953 961 970 979 987 995 1003 1012 1020 1028 1035 1043 1051 1059 1066 1074 1081 1088 1095 1103 1110 11170.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 13 550 562 574 585 597 609 620 632 643 654 665 676 687 698 709 720 730 741 751 762 772 782 792 802 812 822 832 842 851 861 870 880 889 898 907 916 925 934 943 952 960 969 977 986 994 1002 1010 1018 1026 1034 1042 1050 1057 1065 1072 1079 1087 1094 1101 1108 11150.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 14 550 562 574 585 597 608 620 631 642 653 665 676 686 697 708 719 729 740 750 760 771 781 791 801 811 821 830 840 850 859 868 878 887 896 905 914 923 932 941 949 958 966 975 983 991 999 1007 1015 1023 1031 1039 1046 1054 1061 1069 1076 1083 1091 1098 1105 11120.034 0.034 0.027 0.027 0.035 0.035 0.035 0.097 15 550 562 573 585 596 608 619 630 641 652 663 674 685 696 706 717 727 738 748 758 768 778 788 798 808 818 827 837 846 856 865 874 883 892 901 910 919 928 937 945 954 962 970 979 987 995 1003 1011 1018 1026 1034 1041 1049 1056 1064 1071 1078 1085 1092 1099 11060.034 0.034 0.027 0.027 0.034 0.034 0.034 0.095 16 550 562 573 584 596 607 618 629 640 651 662 672 683 694 704 714 725 735 745 755 765 775 785 795 804 814 823 833 842 851 860 870 879 887 896 905 914 922 931 939 948 956 964 972 980 988 996 1004 1012 1019 1027 1034 1042 1049 1056 1064 1071 1078 1085 1092 10980.033 0.033 0.026 0.026 0.034 0.034 0.034 0.092 17 550 561 573 584 595 606 617 627 638 649 659 670 680 691 701 711 721 731 741 751 761 771 780 790 799 809 818 827 836 845 854 863 872 881 889 898 907 915 923 932 940 948 956 964 972 980 987 995 1003 1010 1018 1025 1032 1040 1047 1054 1061 1068 1075 1081 10880.032 0.032 0.025 0.025 0.032 0.032 0.032 0.089 18 550 561 572 583 594 604 615 625 636 646 657 667 677 687 697 707 717 727 736 746 755 765 774 784 793 802 811 820 829 838 846 855 864 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1006 1013 1021 1028 1035 1042 1048 1055 1062 1069 10750.030 0.030 0.024 0.024 0.031 0.031 0.031 0.085 19 550 561 571 582 592 603 613 623 633 643 653 663 673 683 692 702 711 721 730 739 749 758 767 776 785 794 802 811 820 828 837 845 854 862 870 878 886 894 902 910 918 926 933 941 948 956 963 971 978 985 992 999 1006 1013 1020 1027 1033 1040 1047 1053 10600.028 0.028 0.023 0.023 0.029 0.029 0.029 0.080 20 550 560 570 580 590 600 610 620 630 639 649 658 668 677 687 696 705 714 723 732 741 750 758 767 775 784 792 801 809 817 826 834 842 850 858 866 873 881 889 896 904 911 919 926 933 941 948 955 962 969 976 982 989 996 1003 1009 1016 1022 1028 1035 10410.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 21 550 560 569 579 588 598 607 617 626 635 644 653 662 671 680 689 697 706 715 723 732 740 748 757 765 773 781 789 797 805 813 821 828 836 843 851 858 866 873 880 888 895 902 909 916 923 930 937 943 950 957 963 970 976 983 989 995 1002 1008 1014 10200.024 0.024 0.019 0.019 0.025 0.025 0.025 0.067 22 550 559 568 577 586 595 604 613 622 630 639 647 656 664 673 681 689 697 705 714 722 730 737 745 753 761 768 776 784 791 799 806 813 821 828 835 842 849 856 863 870 877 884 890 897 904 910 917 923 930 936 942 949 955 961 967 973 979 985 991 9970.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 23 550 559 567 576 584 592 601 609 617 625 633 641 649 657 665 673 680 688 696 703 711 718 726 733 741 748 755 762 769 777 784 791 797 804 811 818 825 831 838 845 851 858 864 870 877 883 889 896 902 908 914 920 926 932 938 943 949 955 961 966 9720.018 0.018 0.015 0.015 0.020 0.020 0.020 0.054 24 550 558 566 574 582 589 597 605 612 620 627 635 642 650 657 664 672 679 686 693 700 707 714 721 728 735 742 748 755 762 768 775 781 788 794 801 807 813 819 826 832 838 844 850 856 862 868 874 879 885 891 897 902 908 913 919 924 930 935 941 9460.016 0.016 0.014 0.014 0.017 0.017 0.017 0.047 25 550 557 565 572 579 587 594 601 608 615 622 629 636 643 650 656 663 670 677 683 690 696 703 709 716 722 728 735 741 747 753 759 765 771 777 783 789 795 801 807 812 818 824 829 835 841 846 852 857 862 868 873 878 884 889 894 899 904 909 914 9190.014 0.014 0.012 0.012 0.015 0.015 0.015 0.041 26 550 557 564 570 577 584 591 597 604 610 617 623 630 636 643 649 655 661 667 674 680 686 692 698 704 709 715 721 727 733 738 744 749 755 761 766 772 777 782 788 793 798 804 809 814 819 824 829 835 840 845 850 855 859 864 869 874 879 884 888 8930.012 0.012 0.011 0.011 0.013 0.013 0.013 0.035 27 550 556 563 569 575 582 588 594 600 606 612 618 624 630 636 641 647 653 658 664 669 675 680 686 691 697 702 707 713 718 723 728 733 738 743 749 754 759 764 768 773 778 783 788 793 798 802 807 812 817 821 826 831 835 840 844 849 853 858 862 8670.010 0.010 0.009 0.009 0.011 0.011 0.011 0.031 28 550 556 562 568 574 579 585 591 596 601 607 612 617 623 628 633 638 643 648 653 658 663 668 673 677 682 687 692 697 701 706 711 716 720 725 730 734 739 744 748 753 757 762 766 771 775 780 784 789 793 797 802 806 811 815 819 823 828 832 836 8400.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 29 550 556 561 566 571 575 580 585 589 594 598 603 607 611 616 620 625 629 634 638 643 647 651 656 660 665 669 674 678 682 687 691 695 700 704 709 713 717 722 726 730 735 739 743 747 752 756 760 764 769 773 777 781 785 789 793 798 802 806 810 8140.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 30 550 552 554 557 560 563 567 570 574 577 581 585 589 593 597 601 605 609 613 617 621 625 629 634 638 642 646 650 655 659 663 667 672 676 680 684 688 693 697 701 705 709 714 718 722 726 730 734 739 743 747 751 755 759 763 767 771 775 779 783 7870.021 0.021 0.017 0.017 0.021 0.021 0.021 0.058 1 550 555 560 566 572 578 585 591 598 604 611 618 624 631 638 645 652 659 666 673 680 686 693 700 707 714 721 728 735 741 748 755 762 768 775 782 788 795 801 808 814 821 827 834 840 846 853 859 865 871 878 884 890 896 902 908 914 920 925 931 9370.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 2 550 559 567 575 583 591 599 606 614 621 629 636 644 651 658 666 673 680 687 695 702 709 716 723 730 737 744 751 758 765 772 779 786 793 799 806 813 820 826 833 839 846 853 859 865 872 878 885 891 897 903 909 916 922 928 934 940 946 952 957 9630.025 0.025 0.020 0.020 0.025 0.025 0.025 0.069 3 550 559 569 578 587 595 604 613 621 630 638 646 655 663 671 679 687 694 702 710 718 725 733 740 748 755 763 770 777 785 792 799 806 813 820 827 834 841 848 855 862 868 875 882 888 895 901 908 914 920 927 933 939 946 952 958 964 970 976 982 9880.026 0.026 0.021 0.021 0.026 0.026 0.026 0.074 4 550 560 569 579 588 598 607 616 625 634 643 652 661 670 678 687 695 704 712 720 729 737 745 753 761 769 776 784 792 800 807 815 822 829 837 844 851 858 866 873 880 887 894 900 907 914 921 927 934 941 947 953 960 966 973 979 985 991 997 1003 10090.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 5 550 560 570 580 590 599 609 619 628 638 647 656 665 675 684 693 702 710 719 728 736 745 753 762 770 778 787 795 803 811 819 826 834 842 850 857 865 872 880 887 894 901 909 916 923 930 937 943 950 957 964 970 977 983 990 996 1003 1009 1015 1021 10270.029 0.029 0.023 0.023 0.029 0.029 0.029 0.081 6 550 560 571 581 591 601 611 621 630 640 650 659 669 678 688 697 706 715 724 733 742 751 760 768 777 786 794 802 811 819 827 835 843 851 859 867 875 883 890 898 905 913 920 928 935 942 949 956 963 970 977 984 991 997 1004 1010 1017 1023 1030 1036 10420.030 0.030 0.023 0.023 0.030 0.030 0.030 0.083 7 550 561 571 581 592 602 612 622 632 642 652 662 671 681 691 700 710 719 728 737 747 756 765 773 782 791 800 808 817 825 834 842 850 859 867 875 883 891 899 906 914 922 929 937 944 951 959 966 973 980 987 994 1001 1008 1015 1021 1028 1035 1041 1048 10540.031 0.031 0.024 0.024 0.031 0.031 0.031 0.085 8 550 561 571 582 592 603 613 623 634 644 654 664 673 683 693 703 712 722 731 741 750 759 768 777 786 795 804 813 822 830 839 847 856 864 872 880 889 897 905 913 920 928 936 944 951 959 966 973 981 988 995 1002 1009 1016 1023 1030 1036 1043 1050 1056 10630.031 0.031 0.024 0.024 0.031 0.031 0.031 0.087 9 550 561 572 582 593 603 614 624 635 645 655 665 675 685 695 704 714 724 733 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 885 893 901 909 917 925 933 941 948 956 964 971 979 986 993 1001 1008 1015 1022 1029 1036 1043 1049 1056 1063 10690.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 10 550 561 572 583 593 604 614 625 635 645 656 666 676 686 696 706 716 725 735 744 754 763 773 782 791 800 809 818 827 836 845 853 862 870 879 887 896 904 912 920 928 936 944 952 959 967 975 982 990 997 1004 1012 1019 1026 1033 1040 1047 1053 1060 1067 10730.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 11 550 561 572 583 593 604 615 625 636 646 656 666 676 687 696 706 716 726 736 745 755 764 774 783 792 801 810 819 828 837 846 855 863 872 880 889 897 905 914 922 930 938 946 953 961 969 976 984 992 999 1006 1014 1021 1028 1035 1042 1049 1056 1062 1069 10760.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 12 550 561 572 583 593 604 615 625 636 646 656 666 677 687 697 707 716 726 736 745 755 764 774 783 792 801 811 820 828 837 846 855 863 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1007 1014 1021 1028 1035 1042 1049 1056 1063 1069 10760.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 13 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 726 735 745 754 764 773 782 792 801 810 819 828 837 845 854 863 871 880 888 896 905 913 921 929 937 945 953 960 968 976 983 991 998 1005 1013 1020 1027 1034 1041 1048 1055 1061 1068 10750.031 0.031 0.024 0.024 0.032 0.032 0.032 0.087 14 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 715 724 734 744 753 762 772 781 790 799 808 817 826 835 843 852 861 869 878 886 894 902 910 919 927 934 942 950 958 965 973 980 988 995 1002 1010 1017 1024 1031 1038 1045 1051 1058 1065 10710.031 0.031 0.024 0.024 0.031 0.031 0.031 0.086 15 550 561 571 582 593 603 613 624 634 644 654 664 674 684 694 703 713 723 732 742 751 760 769 779 788 797 805 814 823 832 840 849 857 866 874 882 891 899 907 915 923 930 938 946 954 961 969 976 983 991 998 1005 1012 1019 1026 1033 1040 1046 1053 1060 10660.030 0.030 0.024 0.024 0.031 0.031 0.031 0.084 16 550 561 571 582 592 602 613 623 633 643 653 663 672 682 692 701 711 720 730 739 748 757 766 775 784 793 802 810 819 828 836 845 853 861 869 878 886 894 902 909 917 925 933 940 948 955 963 970 977 984 992 999 1006 1012 1019 1026 1033 1040 1046 1053 10590.029 0.029 0.023 0.023 0.030 0.030 0.030 0.082 17 550 560 571 581 591 601 611 621 631 641 651 660 670 679 689 698 708 717 726 735 744 753 762 771 780 788 797 805 814 822 831 839 847 855 863 871 879 887 895 903 910 918 925 933 940 948 955 962 969 976 983 990 997 1004 1011 1017 1024 1030 1037 1043 10500.028 0.028 0.022 0.022 0.029 0.029 0.029 0.079 18 550 560 570 580 590 600 610 619 629 639 648 658 667 676 685 695 704 713 722 730 739 748 757 765 774 782 791 799 807 816 824 832 840 848 856 863 871 879 886 894 901 909 916 924 931 938 945 952 959 966 973 980 986 993 1000 1006 1013 1019 1025 1032 10380.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 19 550 560 570 579 589 598 608 617 627 636 645 654 663 672 681 690 699 708 716 725 733 742 750 759 767 775 783 791 799 807 815 823 831 839 846 854 861 869 876 884 891 898 905 912 919 926 933 940 947 954 960 967 974 980 987 993 999 1006 1012 1018 10240.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 20 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 718 727 735 743 751 759 767 775 782 790 798 805 813 821 828 835 843 850 857 864 871 878 885 892 899 906 913 920 926 933 939 946 952 959 965 971 977 984 990 996 1002 10080.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 21 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 750 757 765 772 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 904 911 917 923 929 936 942 948 954 960 966 972 978 984 9890.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 22 550 559 567 575 584 592 600 609 617 625 633 641 649 657 664 672 680 687 695 703 710 718 725 732 740 747 754 761 768 775 782 789 796 803 810 816 823 830 836 843 849 856 862 868 875 881 887 893 899 905 911 917 923 929 935 941 947 952 958 963 9690.019 0.019 0.015 0.015 0.020 0.020 0.020 0.054 23 550 558 566 574 582 590 597 605 613 620 628 636 643 650 658 665 672 680 687 694 701 708 715 722 729 736 743 749 756 763 769 776 783 789 796 802 808 815 821 827 833 839 845 851 857 863 869 875 881 887 892 898 904 909 915 920 926 931 937 942 9470.017 0.017 0.014 0.014 0.018 0.018 0.018 0.049 24 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 672 679 685 692 699 705 712 718 725 731 738 744 750 756 763 769 775 781 787 793 799 805 811 817 822 828 834 840 845 851 856 862 867 873 878 883 889 894 899 904 910 915 920 9250.015 0.015 0.012 0.012 0.016 0.016 0.016 0.043 25 550 557 564 571 578 585 592 598 605 612 619 625 632 638 645 651 658 664 671 677 683 689 696 702 708 714 720 726 732 738 744 749 755 761 767 772 778 783 789 794 800 805 811 816 821 827 832 837 842 848 853 858 863 868 873 878 883 887 892 897 9020.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 26 550 557 563 570 576 583 589 595 602 608 614 620 627 633 639 645 651 657 663 669 674 680 686 692 697 703 709 714 720 725 730 736 741 747 752 757 762 768 773 778 783 788 793 798 803 808 813 818 823 827 832 837 842 846 851 856 860 865 870 874 8790.011 0.011 0.010 0.010 0.012 0.012 0.012 0.033 27 550 556 562 568 575 581 587 593 598 604 610 616 622 627 633 638 644 649 655 660 665 671 676 681 686 692 697 702 707 712 717 722 727 732 737 741 746 751 756 761 765 770 775 779 784 789 793 798 802 807 811 816 820 825 829 833 838 842 846 851 8550.010 0.010 0.009 0.009 0.010 0.010 0.010 0.029 28 550 556 562 567 573 579 584 589 595 600 605 610 615 620 625 630 635 640 645 650 655 659 664 669 674 678 683 688 692 697 701 706 711 715 720 724 729 733 737 742 746 751 755 759 764 768 772 777 781 785 789 794 798 802 806 810 814 819 823 827 8310.009 0.009 0.008 0.008 0.009 0.009 0.009 0.026 29 550 556 561 566 570 575 579 584 588 593 597 601 606 610 614 619 623 627 631 636 640 644 649 653 657 661 666 670 674 679 683 687 691 696 700 704 708 712 717 721 725 729 733 737 741 746 750 754 758 762 766 770 774 778 782 786 790 794 798 802 8060.008 0.008 0.007 0.007 0.008 0.008 0.008 0.023 30 550 552 554 557 560 563 566 569 573 576 580 584 588 591 595 599 603 607 611 615 619 623 627 631 635 639 643 647 652 656 660 664 668 672 676 680 684 688 692 696 701 705 709 713 717 721 725 729 733 737 741 745 749 753 757 760 764 768 772 776 7800.018 0.018 0.015 0.015 0.018 0.018 0.018 0.052 1 550 554 559 564 570 575 581 587 593 599 605 611 617 624 630 636 643 649 655 662 668 674 681 687 693 700 706 712 718 725 731 737 743 750 756 762 768 774 780 786 792 798 804 810 816 822 828 833 839 845 851 856 862 867 873 879 884 890 895 900 9060.020 0.020 0.016 0.016 0.020 0.020 0.020 0.056 2 550 558 566 573 581 588 595 602 609 616 622 629 636 643 649 656 663 670 676 683 689 696 703 709 716 722 729 735 741 748 754 761 767 773 779 786 792 798 804 810 816 822 828 834 840 846 852 858 864 870 875 881 887 892 898 904 909 915 920 926 9310.022 0.022 0.017 0.017 0.022 0.022 0.022 0.061 3 550 559 567 575 584 592 600 608 616 624 631 639 646 654 661 669 676 683 690 697 704 711 718 725 732 739 746 753 759 766 773 779 786 792 799 805 812 818 824 831 837 843 849 855 862 868 874 880 886 892 897 903 909 915 921 926 932 937 943 949 9540.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 4 550 559 568 577 585 594 602 611 619 628 636 644 652 660 668 676 684 692 699 707 714 722 729 737 744 751 758 765 773 780 787 793 800 807 814 821 827 834 841 847 854 860 866 873 879 885 892 898 904 910 916 922 928 934 940 946 951 957 963 968 9740.024 0.024 0.019 0.019 0.024 0.024 0.024 0.068 5 550 559 568 577 586 595 604 613 622 630 639 648 656 664 673 681 689 697 705 713 721 729 737 745 752 760 767 775 782 790 797 804 811 818 825 832 839 846 853 860 867 873 880 887 893 900 906 912 919 925 931 937 944 950 956 962 968 973 979 985 9910.025 0.025 0.020 0.020 0.025 0.025 0.025 0.071 6 550 559 569 578 587 596 606 615 624 633 641 650 659 667 676 685 693 701 710 718 726 734 742 750 758 766 774 782 789 797 805 812 819 827 834 841 849 856 863 870 877 884 890 897 904 911 917 924 930 937 943 950 956 962 968 974 981 987 993 998 10040.026 0.026 0.020 0.020 0.026 0.026 0.026 0.073 7 550 560 569 579 588 597 607 616 625 634 643 652 661 670 679 687 696 705 713 722 730 738 747 755 763 771 779 787 795 803 810 818 826 833 841 848 855 863 870 877 884 891 898 905 912 919 926 933 939 946 952 959 965 972 978 984 991 997 1003 1009 10150.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 8 550 560 569 579 589 598 608 617 626 636 645 654 663 672 681 690 698 707 716 724 733 741 750 758 766 775 783 791 799 807 815 822 830 838 846 853 861 868 876 883 890 897 904 912 919 926 932 939 946 953 959 966 973 979 986 992 998 1005 1011 1017 10230.027 0.027 0.021 0.021 0.027 0.027 0.027 0.076 9 550 560 570 579 589 599 608 618 627 637 646 655 664 673 682 691 700 709 718 726 735 744 752 761 769 777 785 794 802 810 818 826 834 841 849 857 864 872 879 887 894 902 909 916 923 930 937 944 951 958 965 971 978 984 991 997 1004 1010 1016 1023 10290.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 10 550 560 570 580 589 599 609 618 628 637 647 656 665 674 683 692 701 710 719 728 737 745 754 762 771 779 787 796 804 812 820 828 836 844 852 859 867 875 882 890 897 904 912 919 926 933 940 947 954 961 968 975 981 988 994 1001 1007 1014 1020 1026 10330.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 11 550 560 570 580 590 599 609 619 628 638 647 656 666 675 684 693 702 711 720 729 737 746 755 763 772 780 788 797 805 813 821 829 837 845 853 861 868 876 883 891 898 906 913 920 928 935 942 949 956 963 970 976 983 990 996 1003 1009 1016 1022 1028 10350.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 12 550 560 570 580 590 599 609 619 628 638 647 656 666 675 684 693 702 711 720 729 737 746 755 763 772 780 788 797 805 813 821 829 837 845 853 861 868 876 884 891 899 906 913 921 928 935 942 949 956 963 970 977 983 990 997 1003 1010 1016 1022 1029 10350.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 13 550 560 570 580 590 599 609 618 628 637 647 656 665 675 684 693 702 711 719 728 737 746 754 763 771 779 788 796 804 812 820 828 836 844 852 860 868 875 883 890 898 905 912 920 927 934 941 948 955 962 969 976 982 989 995 1002 1008 1015 1021 1028 10340.027 0.027 0.021 0.021 0.028 0.028 0.028 0.076 14 550 560 570 580 589 599 609 618 628 637 646 655 665 674 683 692 701 710 718 727 736 744 753 761 770 778 786 795 803 811 819 827 835 842 850 858 866 873 881 888 896 903 910 917 924 932 939 946 952 959 966 973 980 986 993 999 1006 1012 1018 1025 10310.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 15 550 560 570 579 589 598 608 617 627 636 645 654 663 673 681 690 699 708 717 725 734 742 751 759 767 776 784 792 800 808 816 824 832 839 847 855 862 870 877 885 892 899 907 914 921 928 935 942 948 955 962 969 975 982 988 995 1001 1007 1014 1020 10260.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 16 550 560 569 579 588 598 607 616 626 635 644 653 662 671 680 688 697 706 714 723 731 740 748 756 764 773 781 789 797 804 812 820 828 835 843 851 858 865 873 880 887 894 902 909 916 922 929 936 943 950 956 963 969 976 982 989 995 1001 1007 1014 10200.026 0.026 0.020 0.020 0.026 0.026 0.026 0.072 17 550 560 569 578 588 597 606 615 624 633 642 651 660 669 677 686 694 703 711 720 728 736 744 752 760 768 776 784 792 800 807 815 823 830 838 845 852 860 867 874 881 888 895 902 909 916 922 929 936 942 949 955 962 968 974 981 987 993 999 1005 10110.025 0.025 0.019 0.019 0.025 0.025 0.025 0.069 18 550 559 569 578 587 596 605 614 622 631 640 649 657 666 674 683 691 699 707 716 724 732 740 748 755 763 771 779 786 794 801 809 816 824 831 838 845 852 859 866 873 880 887 894 901 907 914 920 927 933 940 946 952 959 965 971 977 983 989 995 10010.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 19 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 749 757 765 772 779 787 794 801 809 816 823 830 837 844 851 857 864 871 878 884 891 897 904 910 916 923 929 935 941 947 953 959 965 971 977 983 9890.022 0.022 0.017 0.017 0.023 0.023 0.023 0.062 20 550 559 567 576 584 593 601 610 618 626 634 642 650 658 666 674 682 690 697 705 713 720 728 735 743 750 757 764 772 779 786 793 800 807 814 820 827 834 840 847 854 860 867 873 879 886 892 898 904 910 917 923 929 934 940 946 952 958 963 969 9750.020 0.020 0.016 0.016 0.021 0.021 0.021 0.058 21 550 558 567 575 583 591 599 607 615 623 631 639 646 654 662 669 677 684 691 699 706 713 721 728 735 742 749 756 763 770 776 783 790 797 803 810 816 823 829 836 842 848 854 861 867 873 879 885 891 897 903 908 914 920 926 931 937 942 948 953 9590.019 0.019 0.015 0.015 0.019 0.019 0.019 0.053 22 550 558 566 574 581 589 597 604 612 620 627 634 642 649 656 664 671 678 685 692 699 706 713 720 726 733 740 747 753 760 766 773 779 786 792 798 804 811 817 823 829 835 841 847 853 859 865 870 876 882 887 893 899 904 910 915 920 926 931 936 9420.017 0.017 0.014 0.014 0.018 0.018 0.018 0.048 23 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 671 678 685 692 698 705 711 718 724 731 737 743 749 756 762 768 774 780 786 792 798 804 810 816 821 827 833 838 844 850 855 861 866 871 877 882 887 893 898 903 908 913 918 9230.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 24 550 557 564 571 578 585 592 599 606 612 619 626 632 639 646 652 659 665 671 678 684 690 697 703 709 715 721 727 733 739 745 751 757 762 768 774 779 785 791 796 802 807 813 818 823 829 834 839 844 850 855 860 865 870 875 880 885 890 895 899 9040.014 0.014 0.011 0.011 0.014 0.014 0.014 0.039 25 550 557 563 570 577 583 590 596 602 609 615 622 628 634 640 646 653 659 665 671 677 682 688 694 700 706 711 717 723 728 734 739 745 750 756 761 766 772 777 782 787 793 798 803 808 813 818 823 828 833 838 842 847 852 857 861 866 871 875 880 8840.012 0.012 0.010 0.010 0.012 0.012 0.012 0.035 26 550 556 563 569 575 581 587 594 600 606 612 618 623 629 635 641 647 652 658 664 669 675 680 686 691 696 702 707 712 718 723 728 733 738 743 748 753 758 763 768 773 778 782 787 792 797 801 806 811 815 820 824 829 833 838 842 847 851 855 860 8640.011 0.011 0.009 0.009 0.011 0.011 0.011 0.031 27 550 556 562 568 574 580 585 591 597 602 608 614 619 624 630 635 640 646 651 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 734 739 743 748 753 757 762 766 771 775 779 784 788 793 797 801 806 810 814 818 822 827 831 835 839 8430.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 28 550 556 561 567 572 578 583 588 593 599 604 609 613 618 623 628 633 637 642 647 651 656 661 665 670 674 679 683 688 692 696 701 705 710 714 718 723 727 731 735 740 744 748 752 756 761 765 769 773 777 781 785 789 793 797 801 805 809 813 817 8210.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 29 550 555 560 565 570 574 579 583 587 591 596 600 604 608 612 617 621 625 629 633 637 642 646 650 654 658 662 666 671 675 679 683 687 691 695 699 703 707 711 715 719 723 727 731 735 739 743 747 751 755 759 763 767 771 774 778 782 786 790 794 7970.007 0.007 0.007 0.007 0.008 0.008 0.008 0.021 30 550 552 554 557 559 562 565 569 572 576 579 583 586 590 594 597 601 605 609 613 617 621 625 628 632 636 640 644 648 652 656 660 664 668 672 676 680 684 688 692 696 700 703 707 711 715 719 723 727 731 734 738 742 746 750 753 757 761 765 768 7720.021 0.021 0.017 0.017 0.021 0.021 0.021 0.058 1 550 555 560 566 572 578 585 591 598 604 611 618 624 631 638 645 652 659 666 673 680 686 693 700 707 714 721 728 735 741 748 755 762 768 775 782 788 795 801 808 814 821 827 834 840 846 853 859 865 871 878 884 890 896 902 908 914 920 925 931 9370.023 0.023 0.018 0.018 0.023 0.023 0.023 0.064 2 550 559 567 575 583 591 599 606 614 621 629 636 644 651 658 666 673 680 687 695 702 709 716 723 730 737 744 751 758 765 772 779 786 793 799 806 813 820 826 833 839 846 853 859 865 872 878 885 891 897 903 909 916 922 928 934 940 946 952 957 9630.025 0.025 0.020 0.020 0.025 0.025 0.025 0.069 3 550 559 569 578 587 595 604 613 621 630 638 646 655 663 671 679 687 694 702 710 718 725 733 740 748 755 763 770 777 785 792 799 806 813 820 827 834 841 848 855 862 868 875 882 888 895 901 908 914 920 927 933 939 946 952 958 964 970 976 982 9880.026 0.026 0.021 0.021 0.026 0.026 0.026 0.074 4 550 560 569 579 588 598 607 616 625 634 643 652 661 670 678 687 695 704 712 720 729 737 745 753 761 769 776 784 792 800 807 815 822 829 837 844 851 858 866 873 880 887 894 900 907 914 921 927 934 941 947 953 960 966 973 979 985 991 997 1003 10090.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 5 550 560 570 580 590 599 609 619 628 638 647 656 665 675 684 693 702 710 719 728 736 745 753 762 770 778 787 795 803 811 819 826 834 842 850 857 865 872 880 887 894 901 909 916 923 930 937 943 950 957 964 970 977 983 990 996 1003 1009 1015 1021 10270.029 0.029 0.023 0.023 0.029 0.029 0.029 0.081 6 550 560 571 581 591 601 611 621 630 640 650 659 669 678 688 697 706 715 724 733 742 751 760 768 777 786 794 802 811 819 827 835 843 851 859 867 875 883 890 898 905 913 920 928 935 942 949 956 963 970 977 984 991 997 1004 1010 1017 1023 1030 1036 10420.030 0.030 0.023 0.023 0.030 0.030 0.030 0.083 7 550 561 571 581 592 602 612 622 632 642 652 662 671 681 691 700 710 719 728 737 747 756 765 773 782 791 800 808 817 825 834 842 850 859 867 875 883 891 899 906 914 922 929 937 944 951 959 966 973 980 987 994 1001 1008 1015 1021 1028 1035 1041 1048 10540.031 0.031 0.024 0.024 0.031 0.031 0.031 0.085 8 550 561 571 582 592 603 613 623 634 644 654 664 673 683 693 703 712 722 731 741 750 759 768 777 786 795 804 813 822 830 839 847 856 864 872 880 889 897 905 913 920 928 936 944 951 959 966 973 981 988 995 1002 1009 1016 1023 1030 1036 1043 1050 1056 10630.031 0.031 0.024 0.024 0.031 0.031 0.031 0.087 9 550 561 572 582 593 603 614 624 635 645 655 665 675 685 695 704 714 724 733 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 885 893 901 909 917 925 933 941 948 956 964 971 979 986 993 1001 1008 1015 1022 1029 1036 1043 1049 1056 1063 10690.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 10 550 561 572 583 593 604 614 625 635 645 656 666 676 686 696 706 716 725 735 744 754 763 773 782 791 800 809 818 827 836 845 853 862 870 879 887 896 904 912 920 928 936 944 952 959 967 975 982 990 997 1004 1012 1019 1026 1033 1040 1047 1053 1060 1067 10730.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 11 550 561 572 583 593 604 615 625 636 646 656 666 676 687 696 706 716 726 736 745 755 764 774 783 792 801 810 819 828 837 846 855 863 872 880 889 897 905 914 922 930 938 946 953 961 969 976 984 992 999 1006 1014 1021 1028 1035 1042 1049 1056 1062 1069 10760.032 0.032 0.025 0.025 0.032 0.032 0.032 0.088 12 550 561 572 583 593 604 615 625 636 646 656 666 677 687 697 707 716 726 736 745 755 764 774 783 792 801 811 820 828 837 846 855 863 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1007 1014 1021 1028 1035 1042 1049 1056 1063 1069 10760.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 13 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 726 735 745 754 764 773 782 792 801 810 819 828 837 845 854 863 871 880 888 896 905 913 921 929 937 945 953 960 968 976 983 991 998 1005 1013 1020 1027 1034 1041 1048 1055 1061 1068 10750.031 0.031 0.024 0.024 0.032 0.032 0.032 0.087 14 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 715 724 734 744 753 762 772 781 790 799 808 817 826 835 843 852 861 869 878 886 894 902 910 919 927 934 942 950 958 965 973 980 988 995 1002 1010 1017 1024 1031 1038 1045 1051 1058 1065 10710.031 0.031 0.024 0.024 0.031 0.031 0.031 0.086 15 550 561 571 582 593 603 613 624 634 644 654 664 674 684 694 703 713 723 732 742 751 760 769 779 788 797 805 814 823 832 840 849 857 866 874 882 891 899 907 915 923 930 938 946 954 961 969 976 983 991 998 1005 1012 1019 1026 1033 1040 1046 1053 1060 10660.030 0.030 0.024 0.024 0.031 0.031 0.031 0.084 16 550 561 571 582 592 602 613 623 633 643 653 663 672 682 692 701 711 720 730 739 748 757 766 775 784 793 802 810 819 828 836 845 853 861 869 878 886 894 902 909 917 925 933 940 948 955 963 970 977 984 992 999 1006 1012 1019 1026 1033 1040 1046 1053 10590.029 0.029 0.023 0.023 0.030 0.030 0.030 0.082 17 550 560 571 581 591 601 611 621 631 641 651 660 670 679 689 698 708 717 726 735 744 753 762 771 780 788 797 805 814 822 831 839 847 855 863 871 879 887 895 903 910 918 925 933 940 948 955 962 969 976 983 990 997 1004 1011 1017 1024 1030 1037 1043 10500.028 0.028 0.022 0.022 0.029 0.029 0.029 0.079 18 550 560 570 580 590 600 610 619 629 639 648 658 667 676 685 695 704 713 722 730 739 748 757 765 774 782 791 799 807 816 824 832 840 848 856 863 871 879 886 894 901 909 916 924 931 938 945 952 959 966 973 980 986 993 1000 1006 1013 1019 1025 1032 10380.027 0.027 0.021 0.021 0.027 0.027 0.027 0.075 19 550 560 570 579 589 598 608 617 627 636 645 654 663 672 681 690 699 708 716 725 733 742 750 759 767 775 783 791 799 807 815 823 831 839 846 854 861 869 876 884 891 898 905 912 919 926 933 940 947 954 960 967 974 980 987 993 999 1006 1012 1018 10240.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 20 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 718 727 735 743 751 759 767 775 782 790 798 805 813 821 828 835 843 850 857 864 871 878 885 892 899 906 913 920 926 933 939 946 952 959 965 971 977 984 990 996 1002 10080.023 0.023 0.018 0.018 0.024 0.024 0.024 0.066 21 550 559 568 577 586 594 603 612 620 629 637 646 654 662 671 679 687 695 703 711 719 726 734 742 750 757 765 772 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 904 911 917 923 929 936 942 948 954 960 966 972 978 984 9890.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 22 550 559 567 575 584 592 600 609 617 625 633 641 649 657 664 672 680 687 695 703 710 718 725 732 740 747 754 761 768 775 782 789 796 803 810 816 823 830 836 843 849 856 862 868 875 881 887 893 899 905 911 917 923 929 935 941 947 952 958 963 9690.019 0.019 0.015 0.015 0.020 0.020 0.020 0.054 23 550 558 566 574 582 590 597 605 613 620 628 636 643 650 658 665 672 680 687 694 701 708 715 722 729 736 743 749 756 763 769 776 783 789 796 802 808 815 821 827 833 839 845 851 857 863 869 875 881 887 892 898 904 909 915 920 926 931 937 942 9470.017 0.017 0.014 0.014 0.018 0.018 0.018 0.049 24 550 558 565 572 580 587 594 602 609 616 623 630 637 644 651 658 665 672 679 685 692 699 705 712 718 725 731 738 744 750 756 763 769 775 781 787 793 799 805 811 817 822 828 834 840 845 851 856 862 867 873 878 883 889 894 899 904 910 915 920 9250.015 0.015 0.012 0.012 0.016 0.016 0.016 0.043 25 550 557 564 571 578 585 592 598 605 612 619 625 632 638 645 651 658 664 671 677 683 689 696 702 708 714 720 726 732 738 744 749 755 761 767 772 778 783 789 794 800 805 811 816 821 827 832 837 842 848 853 858 863 868 873 878 883 887 892 897 9020.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 26 550 557 563 570 576 583 589 595 602 608 614 620 627 633 639 645 651 657 663 669 674 680 686 692 697 703 709 714 720 725 730 736 741 747 752 757 762 768 773 778 783 788 793 798 803 808 813 818 823 827 832 837 842 846 851 856 860 865 870 874 8790.011 0.011 0.010 0.010 0.012 0.012 0.012 0.033 27 550 556 562 568 575 581 587 593 598 604 610 616 622 627 633 638 644 649 655 660 665 671 676 681 686 692 697 702 707 712 717 722 727 732 737 741 746 751 756 761 765 770 775 779 784 789 793 798 802 807 811 816 820 825 829 833 838 842 846 851 8550.010 0.010 0.009 0.009 0.010 0.010 0.010 0.029 28 550 556 562 567 573 579 584 589 595 600 605 610 615 620 625 630 635 640 645 650 655 659 664 669 674 678 683 688 692 697 701 706 711 715 720 724 729 733 737 742 746 751 755 759 764 768 772 777 781 785 789 794 798 802 806 810 814 819 823 827 8310.009 0.009 0.008 0.008 0.009 0.009 0.009 0.026 29 550 556 561 566 570 575 579 584 588 593 597 601 606 610 614 619 623 627 631 636 640 644 649 653 657 661 666 670 674 679 683 687 691 696 700 704 708 712 717 721 725 729 733 737 741 746 750 754 758 762 766 770 774 778 782 786 790 794 798 802 8060.008 0.008 0.007 0.007 0.008 0.008 0.008 0.023 30 550 552 554 557 560 563 566 569 573 576 580 584 588 591 595 599 603 607 611 615 619 623 627 631 635 639 643 647 652 656 660 664 668 672 676 680 684 688 692 696 701 705 709 713 717 721 725 729 733 737 741 745 749 753 757 760 764 768 772 776 7800.023 0.023 0.019 0.019 0.023 0.023 0.023 0.065 1 550 556 562 568 574 581 588 595 602 609 617 624 632 639 646 654 661 669 676 684 691 699 706 714 721 729 736 743 751 758 765 773 780 787 794 802 809 816 823 830 837 844 851 858 865 871 878 885 891 898 905 911 918 924 931 937 943 950 956 962 9680.025 0.025 0.020 0.020 0.026 0.026 0.026 0.071 2 550 559 569 577 586 594 603 611 619 627 635 643 651 659 667 675 683 691 699 706 714 722 730 737 745 753 760 768 775 783 790 798 805 813 820 827 834 842 849 856 863 870 877 884 891 898 905 911 918 925 931 938 945 951 958 964 970 977 983 989 9950.028 0.028 0.022 0.022 0.028 0.028 0.028 0.077 3 550 560 570 580 590 599 609 618 627 636 645 654 663 672 680 689 698 706 715 723 731 739 748 756 764 772 780 788 796 804 811 819 827 834 842 850 857 864 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 996 1002 1009 1015 10210.030 0.030 0.024 0.024 0.030 0.030 0.030 0.083 4 550 560 571 581 591 602 612 622 632 641 651 661 670 680 689 698 707 717 726 734 743 752 761 769 778 787 795 803 812 820 828 836 844 852 860 868 876 883 891 899 906 914 921 928 936 943 950 957 964 971 978 985 992 999 1005 1012 1019 1025 1032 1038 10440.031 0.031 0.025 0.025 0.031 0.031 0.031 0.087 5 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 733 743 752 761 770 779 788 797 806 815 824 832 841 849 858 866 874 882 890 898 906 914 922 930 937 945 953 960 967 975 982 989 996 1003 1010 1017 1024 1031 1038 1044 1051 1058 10640.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 6 550 561 572 583 594 605 616 627 637 648 658 669 679 689 699 709 719 729 739 749 758 768 777 787 796 805 815 824 833 842 850 859 868 876 885 893 902 910 918 926 934 942 950 958 966 974 981 989 996 1003 1011 1018 1025 1032 1039 1046 1053 1060 1067 1073 10800.034 0.034 0.027 0.027 0.034 0.034 0.034 0.094 7 550 561 573 584 595 606 617 628 639 650 661 671 682 692 703 713 723 733 743 753 763 773 783 792 802 812 821 830 839 849 858 867 876 884 893 902 910 919 927 936 944 952 960 968 976 984 992 999 1007 1015 1022 1029 1037 1044 1051 1058 1065 1072 1079 1086 10930.034 0.034 0.027 0.027 0.035 0.035 0.035 0.096 8 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 716 726 737 747 757 767 777 787 797 806 816 826 835 845 854 863 872 881 890 899 908 917 925 934 943 951 959 967 976 984 992 1000 1008 1015 1023 1031 1038 1045 1053 1060 1067 1074 1081 1088 1095 11020.035 0.035 0.028 0.028 0.035 0.035 0.035 0.098 9 550 562 573 585 597 608 619 631 642 653 664 675 686 697 707 718 728 739 749 760 770 780 790 800 810 819 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1029 1037 1044 1052 1059 1067 1074 1081 1088 1095 1102 11090.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 10 550 562 574 585 597 609 620 631 643 654 665 676 687 698 709 719 730 740 751 761 772 782 792 802 812 822 831 841 851 860 870 879 888 897 907 916 924 933 942 951 959 968 976 985 993 1001 1009 1017 1025 1033 1041 1048 1056 1063 1071 1078 1085 1093 1100 1107 11140.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 11 550 562 574 586 597 609 620 632 643 654 665 677 688 698 709 720 731 741 752 762 772 783 793 803 813 823 833 842 852 862 871 880 890 899 908 917 926 935 944 953 961 970 978 987 995 1003 1011 1019 1027 1035 1043 1050 1058 1066 1073 1080 1088 1095 1102 1109 11160.035 0.035 0.028 0.028 0.036 0.036 0.036 0.100 12 550 562 574 586 597 609 620 632 643 654 666 677 688 699 709 720 731 741 752 762 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 953 961 970 979 987 995 1003 1012 1020 1028 1035 1043 1051 1059 1066 1074 1081 1088 1095 1103 1110 11170.035 0.035 0.028 0.028 0.036 0.036 0.036 0.099 13 550 562 574 585 597 609 620 632 643 654 665 676 687 698 709 720 730 741 751 762 772 782 792 802 812 822 832 842 851 861 870 880 889 898 907 916 925 934 943 952 960 969 977 986 994 1002 1010 1018 1026 1034 1042 1050 1057 1065 1072 1079 1087 1094 1101 1108 11150.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 14 550 562 574 585 597 608 620 631 642 653 665 676 686 697 708 719 729 740 750 760 771 781 791 801 811 821 830 840 850 859 868 878 887 896 905 914 923 932 941 949 958 966 975 983 991 999 1007 1015 1023 1031 1039 1046 1054 1061 1069 1076 1083 1091 1098 1105 11120.034 0.034 0.027 0.027 0.035 0.035 0.035 0.097 15 550 562 573 585 596 608 619 630 641 652 663 674 685 696 706 717 727 738 748 758 768 778 788 798 808 818 827 837 846 856 865 874 883 892 901 910 919 928 937 945 954 962 970 979 987 995 1003 1011 1018 1026 1034 1041 1049 1056 1064 1071 1078 1085 1092 1099 11060.034 0.034 0.027 0.027 0.034 0.034 0.034 0.095 16 550 562 573 584 596 607 618 629 640 651 662 672 683 694 704 714 725 735 745 755 765 775 785 795 804 814 823 833 842 851 860 870 879 887 896 905 914 922 931 939 948 956 964 972 980 988 996 1004 1012 1019 1027 1034 1042 1049 1056 1064 1071 1078 1085 1092 10980.033 0.033 0.026 0.026 0.034 0.034 0.034 0.092 17 550 561 573 584 595 606 617 627 638 649 659 670 680 691 701 711 721 731 741 751 761 771 780 790 799 809 818 827 836 845 854 863 872 881 889 898 907 915 923 932 940 948 956 964 972 980 987 995 1003 1010 1018 1025 1032 1040 1047 1054 1061 1068 1075 1081 10880.032 0.032 0.025 0.025 0.032 0.032 0.032 0.089 18 550 561 572 583 594 604 615 625 636 646 657 667 677 687 697 707 717 727 736 746 755 765 774 784 793 802 811 820 829 838 846 855 864 872 881 889 897 906 914 922 930 938 946 954 961 969 977 984 992 999 1006 1013 1021 1028 1035 1042 1048 1055 1062 1069 10750.030 0.030 0.024 0.024 0.031 0.031 0.031 0.085 19 550 561 571 582 592 603 613 623 633 643 653 663 673 683 692 702 711 721 730 739 749 758 767 776 785 794 802 811 820 828 837 845 854 862 870 878 886 894 902 910 918 926 933 941 948 956 963 971 978 985 992 999 1006 1013 1020 1027 1033 1040 1047 1053 10600.028 0.028 0.023 0.023 0.029 0.029 0.029 0.080 20 550 560 570 580 590 600 610 620 630 639 649 658 668 677 687 696 705 714 723 732 741 750 758 767 775 784 792 801 809 817 826 834 842 850 858 866 873 881 889 896 904 911 919 926 933 941 948 955 962 969 976 982 989 996 1003 1009 1016 1022 1028 1035 10410.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 21 550 560 569 579 588 598 607 617 626 635 644 653 662 671 680 689 697 706 715 723 732 740 748 757 765 773 781 789 797 805 813 821 828 836 843 851 858 866 873 880 888 895 902 909 916 923 930 937 943 950 957 963 970 976 983 989 995 1002 1008 1014 10200.024 0.024 0.019 0.019 0.025 0.025 0.025 0.067 22 550 559 568 577 586 595 604 613 622 630 639 647 656 664 673 681 689 697 705 714 722 730 737 745 753 761 768 776 784 791 799 806 813 821 828 835 842 849 856 863 870 877 884 890 897 904 910 917 923 930 936 942 949 955 961 967 973 979 985 991 9970.021 0.021 0.017 0.017 0.022 0.022 0.022 0.060 23 550 559 567 576 584 592 601 609 617 625 633 641 649 657 665 673 680 688 696 703 711 718 726 733 741 748 755 762 769 777 784 791 797 804 811 818 825 831 838 845 851 858 864 870 877 883 889 896 902 908 914 920 926 932 938 943 949 955 961 966 9720.018 0.018 0.015 0.015 0.020 0.020 0.020 0.054 24 550 558 566 574 582 589 597 605 612 620 627 635 642 650 657 664 672 679 686 693 700 707 714 721 728 735 742 748 755 762 768 775 781 788 794 801 807 813 819 826 832 838 844 850 856 862 868 874 879 885 891 897 902 908 913 919 924 930 935 941 9460.016 0.016 0.014 0.014 0.017 0.017 0.017 0.047 25 550 557 565 572 579 587 594 601 608 615 622 629 636 643 650 656 663 670 677 683 690 696 703 709 716 722 728 735 741 747 753 759 765 771 777 783 789 795 801 807 812 818 824 829 835 841 846 852 857 862 868 873 878 884 889 894 899 904 909 914 9190.014 0.014 0.012 0.012 0.015 0.015 0.015 0.041 26 550 557 564 570 577 584 591 597 604 610 617 623 630 636 643 649 655 661 667 674 680 686 692 698 704 709 715 721 727 733 738 744 749 755 761 766 772 777 782 788 793 798 804 809 814 819 824 829 835 840 845 850 855 859 864 869 874 879 884 888 8930.012 0.012 0.011 0.011 0.013 0.013 0.013 0.035 27 550 556 563 569 575 582 588 594 600 606 612 618 624 630 636 641 647 653 658 664 669 675 680 686 691 697 702 707 713 718 723 728 733 738 743 749 754 759 764 768 773 778 783 788 793 798 802 807 812 817 821 826 831 835 840 844 849 853 858 862 8670.010 0.010 0.009 0.009 0.011 0.011 0.011 0.031 28 550 556 562 568 574 579 585 591 596 601 607 612 617 623 628 633 638 643 648 653 658 663 668 673 677 682 687 692 697 701 706 711 716 720 725 730 734 739 744 748 753 757 762 766 771 775 780 784 789 793 797 802 806 811 815 819 823 828 832 836 8400.009 0.009 0.008 0.008 0.010 0.010 0.010 0.027 29 550 556 561 566 571 575 580 585 589 594 598 603 607 611 616 620 625 629 634 638 643 647 651 656 660 665 669 674 678 682 687 691 695 700 704 709 713 717 722 726 730 735 739 743 747 752 756 760 764 769 773 777 781 785 789 793 798 802 806 810 8140.008 0.008 0.007 0.007 0.009 0.009 0.009 0.024 30 550 552 554 557 560 563 567 570 574 577 581 585 589 593 597 601 605 609 613 617 621 625 629 634 638 642 646 650 655 659 663 667 672 676 680 684 688 693 697 701 705 709 714 718 722 726 730 734 739 743 747 751 755 759 763 767 771 775 779 783 7870.025 0.025 0.021 0.021 0.025 0.025 0.025 0.071 1 550 556 563 569 577 584 591 599 607 614 622 630 638 646 654 662 670 678 686 694 702 710 718 726 734 742 750 758 765 773 781 789 797 804 812 820 827 835 842 850 857 865 872 879 886 894 901 908 915 922 929 936 943 950 956 963 970 976 983 989 9960.028 0.028 0.023 0.023 0.028 0.028 0.028 0.078 2 550 560 570 579 588 597 606 615 624 632 641 650 658 667 675 684 692 700 709 717 726 734 742 750 758 767 775 783 791 799 807 815 823 830 838 846 854 861 869 877 884 892 899 906 914 921 928 935 942 950 957 964 970 977 984 991 998 1004 1011 1017 10240.030 0.030 0.025 0.025 0.030 0.030 0.030 0.085 3 550 561 571 582 592 602 612 622 632 642 652 661 671 680 689 698 708 717 726 735 744 752 761 770 778 787 796 804 812 821 829 837 845 854 862 870 878 885 893 901 909 916 924 932 939 947 954 961 968 976 983 990 997 1004 1011 1018 1024 1031 1038 1044 10510.032 0.032 0.026 0.026 0.033 0.033 0.033 0.091 4 550 561 572 583 594 605 616 627 637 648 658 668 679 689 699 708 718 728 738 747 757 766 775 784 794 803 812 821 829 838 847 855 864 872 881 889 897 906 914 922 930 938 946 953 961 969 976 984 991 999 1006 1013 1020 1028 1035 1042 1048 1055 1062 1069 10750.034 0.034 0.028 0.028 0.034 0.034 0.034 0.096 5 550 562 573 585 596 607 619 630 641 652 663 673 684 695 705 715 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 963 971 979 987 995 1003 1010 1018 1025 1033 1040 1047 1055 1062 1069 1076 1083 1089 10960.036 0.036 0.029 0.029 0.036 0.036 0.036 0.100 6 550 562 574 586 597 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 880 890 899 908 917 926 934 943 952 960 969 977 985 994 1002 1010 1018 1025 1033 1041 1048 1056 1063 1071 1078 1085 1092 1099 1106 11130.037 0.037 0.030 0.030 0.037 0.037 0.037 0.104 7 550 562 574 587 599 611 622 634 646 657 669 680 691 703 714 725 736 747 757 768 779 789 799 810 820 830 840 850 860 869 879 889 898 907 917 926 935 944 953 962 971 979 988 996 1005 1013 1021 1029 1037 1045 1053 1061 1068 1076 1083 1091 1098 1105 1112 1120 1127
3
2
Tem
pera
ture
[R
]
3
Tem
pera
ture
[R
]
4
Tem
pera
ture
[R
]
5
Tem
pera
ture
[R
]
6
Tem
pera
ture
[R
]
7
Tem
pera
ture
[R
]
5 of 6
Appendix G
0.038 0.038 0.031 0.031 0.038 0.038 0.038 0.106 8 550 562 575 587 599 612 624 636 647 659 671 682 694 705 717 728 739 750 761 772 783 793 804 814 825 835 845 855 865 875 885 895 904 914 923 933 942 951 960 969 978 987 996 1004 1013 1021 1030 1038 1046 1054 1062 1070 1078 1085 1093 1100 1108 1115 1122 1130 11370.038 0.038 0.031 0.031 0.038 0.038 0.038 0.108 9 550 563 575 588 600 612 625 637 649 661 672 684 696 707 719 730 741 753 764 775 785 796 807 818 828 839 849 859 869 879 889 899 909 919 928 938 947 956 966 975 984 993 1001 1010 1019 1027 1036 1044 1052 1060 1068 1076 1084 1092 1100 1107 1115 1122 1130 1137 11440.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 10 550 563 575 588 600 613 625 637 649 661 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 862 872 882 892 902 912 922 931 941 950 960 969 978 987 996 1005 1014 1023 1031 1040 1048 1056 1065 1073 1081 1089 1097 1104 1112 1119 1127 1134 1142 11490.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 11 550 563 576 588 601 613 625 638 650 662 674 686 698 709 721 732 744 755 766 777 788 799 810 821 832 842 853 863 873 884 894 904 913 923 933 943 952 962 971 980 989 998 1007 1016 1025 1033 1042 1050 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1137 1144 11510.039 0.039 0.032 0.032 0.039 0.039 0.039 0.110 12 550 563 576 588 601 613 626 638 650 662 674 686 698 709 721 733 744 755 766 778 789 800 810 821 832 842 853 863 874 884 894 904 914 924 933 943 952 962 971 980 990 999 1008 1016 1025 1034 1042 1051 1059 1067 1075 1084 1092 1099 1107 1115 1122 1130 1137 1145 11520.039 0.039 0.032 0.032 0.039 0.039 0.039 0.109 13 550 563 575 588 601 613 625 638 650 662 674 686 697 709 721 732 743 755 766 777 788 799 810 821 831 842 852 863 873 883 893 903 913 923 932 942 951 961 970 979 988 997 1006 1015 1024 1032 1041 1049 1058 1066 1074 1082 1090 1098 1106 1113 1121 1128 1136 1143 11500.038 0.038 0.031 0.031 0.039 0.039 0.039 0.109 14 550 563 575 588 600 613 625 637 649 661 673 685 696 708 719 731 742 753 765 776 787 797 808 819 829 840 850 861 871 881 891 901 911 920 930 939 949 958 967 977 986 995 1003 1012 1021 1029 1038 1046 1055 1063 1071 1079 1087 1095 1102 1110 1118 1125 1132 1140 11470.038 0.038 0.031 0.031 0.038 0.038 0.038 0.107 15 550 563 575 587 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 806 816 827 837 847 857 867 877 887 897 907 916 926 935 945 954 963 972 981 990 999 1008 1016 1025 1033 1041 1050 1058 1066 1074 1082 1089 1097 1105 1112 1119 1127 1134 11410.037 0.037 0.030 0.030 0.038 0.038 0.038 0.105 16 550 562 575 587 599 611 623 635 647 658 670 681 693 704 715 726 737 748 759 770 781 791 802 812 822 833 843 853 863 873 882 892 902 911 920 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1074 1082 1089 1097 1104 1111 1119 1126 11330.036 0.036 0.029 0.029 0.037 0.037 0.037 0.102 17 550 562 574 586 598 610 622 633 645 656 667 679 690 701 712 723 734 744 755 766 776 786 797 807 817 827 837 847 856 866 876 885 895 904 913 922 931 940 949 958 967 975 984 992 1000 1009 1017 1025 1033 1041 1049 1056 1064 1071 1079 1086 1094 1101 1108 1115 11220.035 0.035 0.028 0.028 0.036 0.036 0.036 0.098 18 550 562 574 585 597 608 620 631 642 653 664 675 686 697 708 718 729 739 750 760 770 780 790 800 810 820 829 839 848 858 867 876 886 895 904 913 921 930 939 947 956 964 973 981 989 997 1005 1013 1021 1028 1036 1044 1051 1059 1066 1073 1080 1087 1094 1101 11080.033 0.033 0.027 0.027 0.034 0.034 0.034 0.094 19 550 561 573 584 595 606 617 628 639 650 661 671 682 692 702 713 723 733 743 753 763 772 782 792 801 811 820 829 839 848 857 866 875 883 892 901 909 918 926 934 943 951 959 967 975 983 990 998 1006 1013 1021 1028 1035 1043 1050 1057 1064 1071 1078 1085 10910.031 0.031 0.025 0.025 0.032 0.032 0.032 0.088 20 550 561 572 583 593 604 614 625 635 646 656 666 676 686 696 706 716 725 735 744 754 763 772 782 791 800 809 818 827 835 844 853 861 870 878 886 895 903 911 919 927 935 943 950 958 966 973 981 988 995 1003 1010 1017 1024 1031 1038 1044 1051 1058 1064 10710.028 0.028 0.023 0.023 0.030 0.030 0.030 0.082 21 550 560 571 581 591 601 611 621 631 641 650 660 670 679 689 698 707 716 725 735 744 752 761 770 779 787 796 805 813 821 830 838 846 854 862 870 878 886 894 901 909 917 924 931 939 946 953 961 968 975 982 989 995 1002 1009 1015 1022 1029 1035 1041 10480.026 0.026 0.021 0.021 0.027 0.027 0.027 0.074 22 550 560 569 579 589 598 607 617 626 635 644 653 662 671 680 689 698 706 715 724 732 741 749 757 765 774 782 790 798 806 814 821 829 837 845 852 860 867 874 882 889 896 903 910 917 924 931 938 945 952 958 965 972 978 984 991 997 1003 1010 1016 10220.023 0.023 0.019 0.019 0.024 0.024 0.024 0.066 23 550 559 568 577 586 595 603 612 621 629 638 646 655 663 671 680 688 696 704 712 720 728 736 744 751 759 767 774 782 789 797 804 811 819 826 833 840 847 854 861 868 875 881 888 895 901 908 914 921 927 933 940 946 952 958 964 970 976 982 988 9940.020 0.020 0.017 0.017 0.021 0.021 0.021 0.058 24 550 558 567 575 583 591 599 607 615 623 631 639 647 655 663 670 678 685 693 700 708 715 722 730 737 744 751 758 765 772 779 786 793 800 806 813 820 826 833 839 846 852 859 865 871 877 883 890 896 902 908 914 919 925 931 937 943 948 954 959 9650.017 0.017 0.015 0.015 0.019 0.019 0.019 0.051 25 550 558 565 573 581 588 596 603 610 618 625 632 640 647 654 661 668 675 682 689 696 703 709 716 723 730 736 743 749 756 762 768 775 781 787 794 800 806 812 818 824 830 836 842 847 853 859 865 870 876 882 887 893 898 904 909 914 920 925 930 9350.015 0.015 0.013 0.013 0.016 0.016 0.016 0.044 26 550 557 564 571 578 585 592 599 606 613 619 626 633 639 646 652 659 665 672 678 684 691 697 703 709 715 721 727 733 739 745 751 757 763 769 774 780 786 791 797 802 808 813 819 824 829 835 840 845 851 856 861 866 871 876 881 886 891 896 901 9060.013 0.013 0.011 0.011 0.014 0.014 0.014 0.038 27 550 557 563 570 576 583 589 595 602 608 614 620 626 632 638 644 650 656 662 667 673 679 684 690 696 701 707 712 718 723 728 734 739 744 750 755 760 765 770 776 781 786 791 796 801 806 811 816 821 825 830 835 840 845 849 854 859 864 868 873 8770.011 0.011 0.010 0.010 0.012 0.012 0.012 0.032 28 550 556 562 568 574 580 586 592 597 603 608 614 619 624 630 635 640 645 650 656 661 666 671 676 681 686 691 696 701 706 711 715 720 725 730 735 739 744 749 754 758 763 768 773 777 782 786 791 796 800 805 809 814 818 823 827 832 836 840 845 8490.009 0.009 0.009 0.009 0.010 0.010 0.010 0.028 29 550 556 561 566 571 576 581 585 590 595 599 604 608 613 617 622 627 631 636 640 645 649 654 658 663 667 672 677 681 686 690 695 699 704 708 713 717 722 726 730 735 739 744 748 753 757 761 766 770 774 779 783 787 792 796 800 804 809 813 817 8210.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 557 561 564 567 571 574 578 582 586 590 594 598 602 606 610 615 619 623 627 632 636 640 644 649 653 657 662 666 670 675 679 683 688 692 696 701 705 709 714 718 722 726 731 735 739 744 748 752 756 760 765 769 773 777 781 785 790 7940.026 0.026 0.023 0.023 0.026 0.026 0.026 0.075 1 550 556 563 571 578 586 594 602 610 618 626 634 643 651 659 668 676 684 693 701 710 718 726 735 743 751 760 768 776 784 793 801 809 817 825 833 841 849 856 864 872 880 887 895 902 910 917 925 932 939 947 954 961 968 975 982 989 996 1002 1009 10160.029 0.029 0.025 0.025 0.029 0.029 0.029 0.083 2 550 561 571 580 590 599 609 618 627 636 645 654 663 672 681 690 699 708 716 725 734 742 751 760 768 777 785 794 802 810 819 827 835 844 852 860 868 876 884 892 899 907 915 923 930 938 945 953 960 968 975 982 989 996 1003 1010 1017 1024 1031 1038 10440.032 0.032 0.027 0.027 0.032 0.032 0.032 0.091 3 550 561 572 583 594 605 615 626 636 646 656 666 676 686 696 705 715 724 734 743 753 762 771 780 789 798 807 816 825 833 842 850 859 867 876 884 893 901 909 917 925 933 941 949 957 964 972 980 987 995 1002 1009 1017 1024 1031 1038 1045 1052 1059 1066 10720.034 0.034 0.029 0.029 0.034 0.034 0.034 0.098 4 550 562 573 585 596 608 619 630 641 652 663 674 685 695 706 716 726 736 746 756 766 776 786 795 805 814 824 833 842 852 861 870 879 887 896 905 913 922 930 939 947 955 964 972 980 988 995 1003 1011 1019 1026 1034 1041 1048 1056 1063 1070 1077 1084 1091 10980.036 0.036 0.031 0.031 0.036 0.036 0.036 0.103 5 550 562 574 586 598 610 622 634 645 657 668 679 691 702 713 723 734 745 756 766 776 787 797 807 817 827 837 847 856 866 875 885 894 903 912 921 930 939 948 957 965 974 982 990 999 1007 1015 1023 1031 1039 1046 1054 1062 1069 1077 1084 1091 1098 1105 1112 11190.038 0.038 0.032 0.032 0.038 0.038 0.038 0.107 6 550 563 575 588 600 612 624 636 648 660 672 683 695 706 718 729 740 751 762 773 784 795 805 816 826 836 847 857 867 877 886 896 906 915 925 934 943 952 961 970 979 988 997 1005 1014 1022 1030 1039 1047 1055 1063 1070 1078 1086 1093 1101 1108 1116 1123 1130 11370.039 0.039 0.033 0.033 0.039 0.039 0.039 0.111 7 550 563 576 588 601 614 626 638 651 663 675 687 698 710 722 733 745 756 767 779 790 801 812 822 833 844 854 864 875 885 895 905 915 924 934 944 953 963 972 981 990 999 1008 1017 1025 1034 1042 1051 1059 1067 1075 1083 1091 1099 1107 1114 1122 1129 1136 1144 11510.040 0.040 0.034 0.034 0.040 0.040 0.040 0.113 8 550 563 576 589 602 615 627 640 652 665 677 689 701 713 725 737 748 760 771 783 794 805 816 827 838 849 859 870 880 891 901 911 921 931 941 951 960 970 979 989 998 1007 1016 1025 1034 1043 1051 1060 1068 1076 1085 1093 1101 1109 1117 1124 1132 1139 1147 1154 11610.040 0.040 0.034 0.034 0.041 0.041 0.041 0.115 9 550 563 576 590 603 615 628 641 654 666 678 691 703 715 727 739 751 763 774 786 797 808 820 831 842 853 863 874 885 895 906 916 926 936 946 956 966 975 985 994 1004 1013 1022 1031 1040 1049 1058 1066 1075 1083 1091 1100 1108 1116 1124 1131 1139 1147 1154 1162 11690.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 10 550 563 577 590 603 616 629 642 654 667 680 692 704 716 729 741 752 764 776 788 799 811 822 833 844 855 866 877 888 898 909 919 929 939 949 959 969 979 989 998 1008 1017 1026 1035 1044 1053 1062 1071 1079 1088 1096 1104 1112 1120 1128 1136 1144 1151 1159 1166 11740.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 11 550 563 577 590 603 616 629 642 655 668 680 693 705 717 729 741 753 765 777 789 800 812 823 834 845 857 867 878 889 900 910 921 931 941 951 961 971 981 991 1000 1010 1019 1028 1037 1046 1055 1064 1073 1081 1090 1098 1107 1115 1123 1131 1139 1146 1154 1162 1169 11760.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 12 550 563 577 590 603 616 629 642 655 668 680 693 705 717 730 742 754 765 777 789 800 812 823 835 846 857 868 879 889 900 910 921 931 941 952 962 971 981 991 1001 1010 1019 1029 1038 1047 1056 1065 1073 1082 1090 1099 1107 1115 1123 1131 1139 1147 1155 1162 1170 11770.041 0.041 0.035 0.035 0.041 0.041 0.041 0.117 13 550 563 577 590 603 616 629 642 655 667 680 692 705 717 729 741 753 765 777 788 800 811 823 834 845 856 867 878 888 899 910 920 930 940 951 961 970 980 990 999 1009 1018 1027 1037 1046 1054 1063 1072 1081 1089 1097 1106 1114 1122 1130 1138 1146 1153 1161 1168 11760.040 0.040 0.034 0.034 0.041 0.041 0.041 0.116 14 550 563 577 590 603 616 629 641 654 667 679 691 704 716 728 740 752 764 775 787 798 810 821 832 843 854 865 876 886 897 907 918 928 938 948 958 968 978 987 997 1006 1015 1024 1034 1043 1051 1060 1069 1077 1086 1094 1102 1111 1119 1127 1134 1142 1150 1157 1165 11720.040 0.040 0.034 0.034 0.041 0.041 0.041 0.114 15 550 563 576 589 602 615 628 640 653 665 678 690 702 714 726 738 750 761 773 784 796 807 818 829 840 851 862 872 883 893 904 914 924 934 944 954 964 973 983 992 1001 1011 1020 1029 1038 1046 1055 1064 1072 1081 1089 1097 1105 1113 1121 1129 1136 1144 1151 1159 11660.039 0.039 0.033 0.033 0.040 0.040 0.040 0.112 16 550 563 576 589 602 614 627 639 652 664 676 688 700 712 724 735 747 758 770 781 792 803 814 825 836 847 857 868 878 888 898 909 919 928 938 948 958 967 976 986 995 1004 1013 1022 1031 1039 1048 1056 1065 1073 1081 1089 1097 1105 1113 1121 1128 1136 1143 1150 11580.038 0.038 0.032 0.032 0.039 0.039 0.039 0.109 17 550 563 575 588 601 613 625 637 650 662 673 685 697 709 720 732 743 754 765 776 787 798 809 820 830 841 851 861 871 882 892 901 911 921 931 940 949 959 968 977 986 995 1004 1013 1021 1030 1038 1047 1055 1063 1071 1079 1087 1095 1102 1110 1117 1125 1132 1139 11460.036 0.036 0.031 0.031 0.038 0.038 0.038 0.105 18 550 562 575 587 599 611 623 635 647 659 670 682 693 704 716 727 738 749 760 770 781 792 802 812 823 833 843 853 863 873 883 892 902 911 921 930 939 948 957 966 975 984 992 1001 1009 1018 1026 1034 1042 1050 1058 1066 1073 1081 1089 1096 1103 1111 1118 1125 11320.035 0.035 0.030 0.030 0.036 0.036 0.036 0.101 19 550 562 574 586 598 609 621 632 644 655 666 677 688 699 710 721 731 742 752 763 773 783 793 803 813 823 833 843 852 862 871 881 890 899 908 917 926 935 944 952 961 969 978 986 994 1002 1010 1018 1026 1034 1042 1049 1057 1064 1072 1079 1086 1093 1100 1107 11140.032 0.032 0.028 0.028 0.034 0.034 0.034 0.094 20 550 561 573 584 595 607 618 629 639 650 661 672 682 693 703 713 724 734 744 754 764 773 783 793 802 812 821 830 840 849 858 867 876 885 893 902 911 919 928 936 944 952 960 968 976 984 992 1000 1007 1015 1022 1030 1037 1044 1052 1059 1066 1073 1079 1086 10930.030 0.030 0.026 0.026 0.032 0.032 0.032 0.087 21 550 561 572 582 593 604 614 624 635 645 655 665 675 685 695 705 714 724 734 743 752 762 771 780 789 798 807 816 825 834 842 851 859 868 876 884 893 901 909 917 925 933 940 948 956 963 971 978 986 993 1000 1007 1014 1021 1028 1035 1042 1049 1055 1062 10680.027 0.027 0.023 0.023 0.029 0.029 0.029 0.079 22 550 560 570 580 590 600 610 620 629 639 649 658 667 677 686 695 704 713 722 731 740 749 758 766 775 783 792 800 809 817 825 833 841 849 857 865 873 880 888 896 903 911 918 925 933 940 947 954 961 968 975 982 989 995 1002 1009 1015 1022 1028 1034 10410.024 0.024 0.021 0.021 0.026 0.026 0.026 0.071 23 550 559 569 578 587 597 606 615 624 633 641 650 659 668 676 685 693 702 710 719 727 735 743 751 759 767 775 783 791 799 807 814 822 829 837 844 851 859 866 873 880 887 894 901 908 915 922 928 935 942 948 955 961 968 974 980 986 992 999 1005 10110.021 0.021 0.018 0.018 0.023 0.023 0.023 0.062 24 550 559 567 576 584 593 601 610 618 626 634 643 651 659 667 675 683 690 698 706 714 721 729 736 744 751 759 766 773 780 788 795 802 809 816 823 830 836 843 850 857 863 870 876 883 889 895 902 908 914 920 926 933 939 945 950 956 962 968 974 9790.018 0.018 0.016 0.016 0.020 0.020 0.020 0.053 25 550 558 566 574 582 589 597 605 612 620 628 635 643 650 657 665 672 679 686 693 701 708 715 722 728 735 742 749 756 762 769 776 782 789 795 801 808 814 820 827 833 839 845 851 857 863 869 875 881 886 892 898 904 909 915 920 926 931 937 942 9480.015 0.015 0.014 0.014 0.017 0.017 0.017 0.046 26 550 557 565 572 579 586 593 600 607 614 621 628 635 642 649 655 662 669 675 682 688 695 701 707 714 720 726 732 739 745 751 757 763 769 775 780 786 792 798 804 809 815 821 826 832 837 843 848 854 859 864 870 875 880 886 891 896 901 906 911 9160.013 0.013 0.012 0.012 0.014 0.014 0.014 0.039 27 550 557 563 570 577 583 590 596 603 609 615 622 628 634 640 646 652 658 664 670 676 682 688 693 699 705 710 716 722 727 733 738 744 749 754 760 765 770 776 781 786 791 797 802 807 812 817 822 827 832 837 842 847 852 857 862 866 871 876 881 8850.011 0.011 0.010 0.010 0.012 0.012 0.012 0.034 28 550 556 562 569 575 581 586 592 598 604 609 615 620 626 631 636 642 647 652 658 663 668 673 678 683 689 694 699 704 709 714 719 724 729 734 738 743 748 753 758 763 768 772 777 782 787 791 796 801 805 810 815 819 824 829 833 838 842 847 851 8560.010 0.010 0.009 0.009 0.011 0.011 0.011 0.029 29 550 556 561 566 571 576 581 586 591 595 600 605 609 614 619 623 628 632 637 642 646 651 656 660 665 670 674 679 683 688 693 697 702 706 711 716 720 725 729 734 738 743 747 752 756 761 765 770 774 779 783 787 792 796 801 805 809 814 818 822 8270.008 0.008 0.008 0.008 0.009 0.009 0.009 0.025 30 550 552 555 558 561 564 568 571 575 579 583 587 591 595 599 603 607 611 616 620 624 629 633 637 642 646 651 655 659 664 668 673 677 681 686 690 695 699 704 708 712 717 721 726 730 734 739 743 747 752 756 760 765 769 773 777 782 786 790 794 799
Tem
pera
ture
[R
]
9
Tem
pera
ture
[R
]
8
6 of 6
Appendix H
0 of 2
The following pages contain the EES code for calculating property values for use with the
transient nodal analysis shown in Appendices E, F, and G.
File:F:\Senior Project\CDR Spring\Updated Calcs\Grill Bar Model ver 2.EES 6/4/2013 9:28:54 PM Page 1
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
"Grill Bar Model (version 1) - Propane- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Assuming:
-see assumptions list in APPENDIX E- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -""- - - - GIVEN/ASSUMED - CONDUCTION - - - -"
Temperature=800 [F] "input air temperature"DELTAx=0.825 [in] "distance between nodes"DELTAt=10 [sec] "elapsed time - determined from Fourier number stability"c=c_('Stainless_AISI304', Temperature) "specific heat capacity of steel"k=k_('Stainless_AISI304', Temperature) "thermal conductivity"rho=rho_('Stainless_AISI304', Temperature) "density"alpha=k/(rho*c) "thermal diffusivity (Section 2.2.2)"Fo=alpha*(DELTAt*convert(sec,hour))/((DELTAx*convert(in,ft))^2) "Fourier number (less than 0.5 for 1D)"
sigma=(5.67E-8 [W/(K^4*m^2)])*convert(W/(K^4*m^2),Btu/(hr-R^4*ft^2)) "Stephen-Boltzman constant"
D=((5/16) [in])*convert(in,ft) "grill bar diameter"BETA=1/T_air "volumetric thermal expansion coefficient - ideal gas"g=32.2 [ft/s^2] "acceleration due to gravity"nu=(38.79E-6 [m^2/s])*convert(m^2,ft^2) "kinematic viscosity (Table A.4 for 500 [K])"T_air=converttemp(F,R,Temperature) "air/propane products temperature"T_s=converttemp(F,R,400 [F]) "grill bar surface temperature"{T_s=converttemp(F,R,350 [F]) "grill bar surface temperature"}
Ra_D=-(g*BETA*(T_s-T_air)*(D^3))/(nu*alpha*convert(s,hour)) "Rayleigh number (Equation 9.25)"
k_air=Conductivity(Air,T=Temperature)*convert(Btu/hr-ft-R,lbf/s-R) "Thermal conductivity of air"
Grill Bar Model (version 1) - Propane
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Assuming:
-see assumptions list in APPENDIX E
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
- - - - GIVEN/ASSUMED - CONDUCTION - - - -
Temperature = 800 [F] input air temperature
∆x = 0.825 [in] distance between nodes
∆t = 10 [sec] elapsed time - determined from Fourier number stability
c = c 'StainlessAISI304' , Temperature specific heat capacity of steel
k = k 'StainlessAISI304' , Temperature thermal conductivity
ρ = rho 'StainlessAISI304' , Temperature density
α = k
ρ · cthermal diffusivity (Section 2.2.2)
File:F:\Senior Project\CDR Spring\Updated Calcs\Grill Bar Model ver 2.EES 6/4/2013 9:28:54 PM Page 2
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
Fo = α ·
∆t · 0.000277778 · hour
sec
∆x · 0.083333333 · ft
in
2 Fourier number (less than 0.5 for 1D)
σ = 5.67 x 10–8
[W/(K4*m2)] · 0.030197216 · Btu/(hr–R4*ft2)
W/(K4*m2) Stephen-Boltzman constant
D = 5
16 · 1 [in] · 0.083333333 ·
ft
ingrill bar diameter
β = 1
Tair
volumetric thermal expansion coefficient - ideal gas
g = 32.2 [ft/s2] acceleration due to gravity
ν = 0.00003879 [m2/s] · 10.76 · ft2
m2 kinematic viscosity (Table A.4 for 500 [K])
Tair = ConvertTemp F , R , Temperature air/propane products temperature
Ts = ConvertTemp F , R , 400 [F] grill bar surface temperature
RaD = – g · β · Ts – Tair · D
3
ν · α · 0.000277778 · hour
s
Rayleigh number (Equation 9.25)
kair = k 'Air' , T =Temperature · 0.21615814 · lbf/s–R
Btu/hr–ft–RThermal conductivity of air
SOLUTION
Unit Settings: Eng F psia mass deg
α = 0.1864 [(ft2)/hr] β = 0.0007939 [1/R]
c = 0.136 [Btu/(lbm-R)] D = 0.02604 [ft]
∆t = 10 [sec] ∆x = 0.825 [in]
Fo = 0.1096 Fo = 0.1096 g = 32.2 [ft/s2]
k = 12.25 [Btu/(hr-ft-R)] kair = 0.006454 [lbf/s-R]
ν = 0.0004175 [ft2/s] RaD = 8351 RaD = 8351
ρ = 483 [lbm/(ft3)] σ = 1.712E-09 [Btu/(hr-R4-ft2)]
Temperature = 800 [F] Tair = 1260 [R]
Ts = 859.7 [R]
No unit problems were detected.
Appendix I
1 of 11
The following figures illustrate details of the test fixture and flame tamer designs.
Figure I-1. Preliminary test fixture setup sketch.
test fixture
data acquisition system (DAQ)
computer (connected to DAQ)
thermocouples
Appendix I
2 of 11
Figure I-2. Details of a possible test fixture base and slider mechanism.
The following figures (Figures I-3 through Figure I-6) show the chosen fixture geometry for the
Angus grill test fixture.
Appendix I
3 of 11
Figu
re I-
3. P
icto
rial
ref
ere
nce
fo
r th
e A
ngu
s gr
ill t
est
fixt
ure
.
Appendix I
4 of 11
Figu
re I-
4. P
icto
rial
ref
ere
nce
fo
r th
e A
ngu
s gr
ill t
est
fixt
ure
insi
de
the
An
gus
grill
.
Appendix I
5 of 11
Figu
re I-
5. T
est
fixt
ure
str
uct
ure
geo
met
ry.
Appendix I
6 of 11
Figu
re I-
6. T
est
fixt
ure
slid
ing
ther
mo
cou
ple
su
pp
ort
bar
geo
met
ry.
Appendix I
7 of 11
Figu
re I-
7. T
he
seco
nd
ite
rati
on
of
the
test
fix
ture
inco
rpo
rati
ng
a ch
ain
an
d a
ll-th
read
.
Appendix I
8 of 11
Figu
re I-
8. T
he
fin
al t
est
fixt
ure
des
ign
usi
ng
an a
cme
thre
ad a
lon
g w
ith
tw
o r
olle
r b
eari
ngs
Appendix I
9 of 11
Figu
re I-
9. F
irst
mo
dif
ied
fla
me
tam
er d
esig
n
Appendix I
10 of 11
Figu
re I-
10. S
eco
nd
fla
me
tam
er d
esig
n in
corp
ora
tin
g tw
o r
ow
s o
f o
ffse
t h
ole
s
Appendix I
11 of 11
Figu
re I-
9. F
inal
Fla
me
Tam
er D
esig
n w
ith
dif
feri
ng
ho
le s
izin
g
Appendix J
1 of 3
The maximum anticipated temperature to be seen by the test fixture will be around .
Assumed 5lbf uniform force from attached alligator clips and all 500 ft of thermocouple
wire with a linear density of 9lbf per 1000ft
Bending Moment Diagram
3 ft
5 lbf
2.5 lbf 2.5 lbs
2.5 lbf
2.5 lbf
V
Shear Diagram
1.88 lbf-ft
M
5 lbf
Appendix J
2 of 3
From Table 2-9 (effect of temperature on the material strength) in Shigley’s 9th Edition Mechanical Engineering Design, at for 1020 Steel, and .
From Table:
yield strength for 1020 HR Steel
ultimate yield strength for 1020 HR Steel
From Table 2-9 (effect of temperature on the material strength) in Shigley’s 9th Edition Mechanical Engineering Design, at :
and .
adjusted yield strength
( )
adjusted ultimate yield strength
( )
For the following geometry, find the static moment of area and the moment of inertia:
distance away from center of mass to location of
interest in the cross section (set to 0 for max shear)
(
) static moment of area
(
) static moment of area for a 0.5” square block
( )
(( ) ( ))
(
) static moment of area for a 0.37” square block
( )
(( ) ( ))
static moment of area for the hollow rectangle
( ) ( )
moment of inertia
moment of inertia for a 0.5” square block
( )( )
moment of inertia for a 0.37” square block
( )( )
0.5”
0.063”
Appendix J
3 of 3
moment of inertia for the hollow rectangle
( ) ( )
Using the maximum shear strength criteria:
maximum shear strength criteria
Find :
maximum shear
( )( [ ])
( )( )
[
]
Plugging the maximum shear into the maximum shear strength criteria to find the factor of safety, n:
maximum shear strength criteria
( )
( )
There is so little force from the thermocouples’ weight and the weight of the system itself that there is no need to worry about high-temperature strength issues. The material selected far exceeds minimum acceptable factors of safety, but will be used due to its availability and machinability.
Appendix K
1 of 2
Table K-1. Budget breakdown for the entire project
Note: This does not include a computer to install the software on and run the tests.
License to Grill Budget
Estimated Actual
Item Quantity Cost Subtotal With tax Cash flow
Overhead 1 $1,500.00 $1,500.00 $1,500.00 -$1,500.00
Natural gas line install 1 $837.40 $837.40 $837.40 -$837.40
Propane empty tanks 2 $30.00 $60.00 $64.80 -$94.86
Propane refill 10 $20.00 $200.00 $216.00 -$95.00
16 Temperature input DAQ 1 $1,099.00 $1,099.00 $1,186.92 -$989.10
16 Temperature expansion 1 $649.00 $649.00 $700.92 -$584.10
TraverDAQ Pro (software to read data) 1 $199.00 $199.00 $214.92 -$179.10
High Temperature thermocouple wire in ft 500 $0.54 $270.00 $291.60 -$311.60
Thermocouple connector (Male@Female) 32 $4.13 $132.16 $142.73 -$125.44
Thermocouple connector (Male) 32 $1.85 $59.20 $63.94 -$56.32
Box fan for wind tests 3 $15.96 $47.88 $51.71 $0.00
Wood for wind tests 1 $50.00 $50.00 $54.00 $0.00
Steel tubing for thermocouple fixture 1 $28.74 $28.74 $31.04 -$25.00
Test fixture material 1 - - - -108.93
McMaster Carr purchases for second structure
1 - - - -$89.29
Steel for new flame tamers 1 - - - -$28.95
TriTip for Senior Expo 1 - - - -$235.00
Proposed Money
left
Total $5,355.98 $95.89
Appendix K
2 of 2
Figure K-1. DAQ and data collection software (shown source: Measurement Computing Corporation).
Figure K-2. Thermocouple parts cost (shown source: Omega Engineering Inc.).
Appendix L
0 of 1
The following page details the schedule we have been following throughout the project.
Name Start Finish
Deliverables Tue 9/18/12 Thu 6/6/13
Intro Letter Tue 9/18/12 Tue 9/25/12
Project Proposal Tue 9/25/12 Mon 10/22/12
CDR Fri 11/23/12 Mon 12/3/12
First Presentation Mon 11/26/12 Mon 11/26/12
Second Report Mon 1/7/13 Tue 1/29/13
Second Presentation Tue 1/29/13 Tue 1/29/13
Final Report Document Thu 5/30/13 Thu 6/6/13
Final Presentations Tue 5/28/13 Thu 5/30/13
Sponsor Presentation Tue 5/28/13 Tue 5/28/13
Senior Project Expo Thu 5/30/13 Thu 5/30/13
Computer Models Thu 10/4/12 Mon 1/28/13
Combustion Models Thu 10/4/12 Fri 10/26/12
Pure O2 Propane Thu 10/4/12 Wed 10/17/12
Air Propane (no excess) Wed 10/17/12 Tue 10/23/12
Air Nat Gas (no excess) Tue 10/23/12 Fri 10/26/12
Nodal Analysis Sun 10/28/12 Tue 11/6/12
Nodal Analysis Sun 10/28/12 Tue 11/6/12
First Law Model Thu 11/8/12 Wed 11/14/12
Preliminary Tests Thu 11/8/12 Thu 11/8/12
Preliminary Models Thu 11/8/12 Wed 11/14/12
Grill Temperature Mon 1/7/13 Mon 1/28/13
Conduction Mon 1/7/13 Mon 1/28/13
Radiation Mon 1/7/13 Mon 1/28/13
Convection Mon 1/7/13 Mon 1/28/13
Test Mon 10/22/12 Fri 6/7/13
Test Documentation Wed 11/14/12 Tue 1/8/13
What to test for Wed 11/14/12 Mon 11/26/12
Test Procedure Mon 11/26/12 Tue 1/8/13
Test Fixture Mon 10/22/12 Mon 1/28/13
Grill Setup, Prelim Tests Mon 10/22/12 Thu 11/8/12
Preliminary Designs Wed 11/14/12 Mon 11/26/12
Design Selection Mon 11/26/12 Fri 11/30/12
Detailed Design Tue 11/27/12 Mon 1/7/13
Prototype Construction Tue 1/8/13 Mon 1/28/13
Testing Mon 1/28/13 Fri 6/7/13
Initial Tests Mon 1/28/13 Tue 3/12/13
General Tests Mon 4/1/13 Sun 6/2/13
Data Processing Mon 4/1/13 Fri 6/7/13
Final Presentations Tue 5/28/13 Thu 5/30/13
Sponsor Presentation Tue 5/28/13 Tue 5/28/13
Senior Project Expo Thu 5/30/13 Thu 5/30/13
Deliverables
Intro Letter
Project Proposal
CDR
First Presentation
Second Report
Second PresentationSecond Presentation
Final Report Document
Final Presentations
Sponsor Presentation
Senior Project Expo
Computer Models
Combustion Models
Pure O2 Propane
Air Propane (no excess)
Air Nat Gas (no excess)
Nodal Analysis
Nodal Analysis
First Law Model
Preliminary Tests
Preliminary Models
Grill Temperature
Conduction
Radiation
Convection
Test
Test Documentation
What to test for
Test Procedure
Test Fixture
Grill Setup, Prelim Tests
Preliminary Designs
Design Selection
Detailed Design
Prototype Construction
Testing
Initial Tests
General Tests
Data Processing
Final Presentations
Sponsor Presentation
Senior Project Expo
T F S S M T W T F S S M T W T F S S M T W T F SAug 26, '12 Sep 30, '12 Nov 4, '12 Dec 9, '12 Jan 13, '13 Feb 17, '13 Mar 24, '13 Apr 28, '13 Jun 2, '13 Jul 7, '13 A
Appendix L
1 of 1
Appendix M
1 of 1
Figure M-1. Preliminary test data collected for use of a single burner on November 8th, 2012 using a type K thermocouple. Conducted by C. McGill, P. Gobell, and T. Willson.
Appendix N
1 of 3
Table N-1. Comprehensive thermocouple selection table (using the cited tables below)
Thermocouple type
Temperature Range °F
Cost/ft1 Sensitivity2 Stable at
400°F-1500°F Upper Temp limit for 20 gauge wire
J 200 -- 1400 0.37 ±0.75%(T-32) degrades quick 900°F
K -330 -- 2300 0.54 ±0.75%(T-32) accuracy degrades
1800°F
E -330 -- 1650 0.54 ±0.5%(T-32) accuracy degrades
1000°F
N 200 -- 2700 0.66 ±0.75%(T-32) most stable 1800°F
1. Cost for a 500 foot order from omega.com
2. Sensitivity at operating temperatures ~500°F-1000°F
Table N-2. Thermocouple types and their respective temperature ranges and tolerances by class
(data source: Thermometrics Corporation).
Appendix N
2 of 3
Table N-3. Temperature ranges for different thermocouple types (Thermocouples. Watlow)
Appendix N
3 of 3
* de
no
tes
to 315 [C
] (600 [F])
Ove
rallC
on
du
ctors
Solve
nt
Acid
Base
Flame
Hu
mid
ity
PP
Po
lyvinyl
Ch
lorid
e (P
VC
)
Po
lyvinyl
Ch
lorid
e (P
VC
)
-40 to 105 [C
]
-40 to 221 [F]
Go
od
Excelle
nt
Go
od
FairG
oo
dG
oo
dG
oo
dG
oo
d
FFFEP
Teflo
n o
r
Ne
oflo
n
FEP Te
flon
or
Ne
oflo
n
-200 to 200 [C
]
-338 to 392 [F]
Excelle
nt
Go
od
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
TTP
FA Te
flon
or
Ne
oflo
n
PFA
Teflo
n o
r
Ne
oflo
n
-267 to 260 [C
]
-450 to 500 [F]
Excelle
nt
Go
od
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
KK
Kap
ton
Kap
ton
-267 to 316 [C
]
-450 to 600 [F]
Excelle
nt
Go
od
Go
od
Go
od
Go
od
Go
od
Go
od
Excelle
nt
TGG
lass Braid
PFA
Teflo
n o
r
Ne
oflo
n
-73 to 260 [C
]
-100 to 500 [F]
Go
od
Go
od
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
GG
Glass B
raidG
lass Braid
-73 to 482 [C
]
-100 to 900 [F]
Po
or
Go
od
Po
or
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Fair
HH
High
Tem
p
Glass B
raid
High
Tem
p
Glass B
raid
-73 to 704 [C
]
-100 to 1300 [F]
Po
or
Go
od
Po
or
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Fair
XR
Re
frasil Braid
Re
frasil Braid
-73 to 871 [C
]
-100 to 1600 [F]
Po
or
Go
od
*P
oo
r*Exce
llen
tG
oo
d*
Go
od
*Exce
llen
tP
oo
r
XC
Ne
xtel B
raidN
exte
l Braid
-73 to 1204 [C
]
-100 to 2200 [F]
Po
or
Go
od
Po
or
Excelle
nt
Go
od
Go
od
Excelle
nt
Fair
XS
SilicaSilica
-73 to 1038 [C
]
-100 to 1990 [F]
Po
or
Go
od
Po
or
Excelle
nt
Go
od
Po
or
Excelle
nt
Fair
TFETFE Te
flon
TFE Teflo
n-267 to
260 [C]
-450 to 500 [F]
Excelle
nt
Go
od
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Excelle
nt
Re
sistance
To:
Insu
lation
Insu
lation
Co
de
Tem
pe
rature
Ran
ge, In
sulatio
n
Ab
rasion
Re
sistance
Flexib
ilityW
ater
Sub
me
rsion
Appendix O
1 of 5
Introduction Tables O-1, 2 and 3 are detailed practical application spreadsheets of the fabrication that our
team “License to Grill” has generated. The test fixture has been designed so that is can accommodate
and perform the many tests that our team has developed to offer insight and information that can serve
as a guide to grill modifications. The sheets are broken down into designs that differ by the indicated
notes and are broken up into tasks and the details involved with each task number. The times for each
task are approximations and may have varied slightly.
Design 1
Notes:
Wire/Pulley Actuated
Clamp Thermocouple Method
Not actually used for any real data collection
Table O-1. Plan of Manufacture of First Iteration of the Test Apparatus
Task Number
Description Equipment Required
Est. Time (hrs.) Notes
1 Inspect raw material none 0.1 1/2 x1/2 x 5 ft pieces x5
2 Measure and mark raw
material for cutting tape measure and
soap stone 0.2 none
3 Cut raw material chop saw, face
shield 0.5 none
4 Deburr and wire brush
all measured pieces file, wire brush
wheel 0.5
clean up all sides of tubing and all cut edges
5 Mill set-up Bridgeport mill, mill kit, horizontal vises
x 2 0.75
square both vices to 01.001” Tol.
6 Machine indexing
points vertical mill, mill kit,
¼” end mill 2.0
square both vices to 0.001” Tol., re-jig piece
7 Mill clean up Shop vacuum 0.3 Clean off all chips and
debris
8 Deburr and wire brush
all machined components
file, wire brush wheel
0.5 clean off all oils and assemble structure
9 Welder prep and
inspection Miller TIG welder,
weld kit 0.5
check amperage, torch configuration
10 Welder set-up magnetic squares,
vice 0.1
place and fit all pieces to be welded
11 Weld test fixture 3/32 filler rod,
1/16th tungsten 3.0
water cooled TIG out of service
Appendix O
2 of 5
Task Number
Description Equipment Required
Est. Time (hrs.) Notes
12 Clean and inspect welds wire brush, grinding
wheel 0.1
look for evidence of lack of shielding gas
13 Slider bar fabrication hand grinder, 90 degree air tool
0.75 Check for clearance
tolerances
14 Attach slider bar and
calibrate indexing equipment
Phillips screwdriver, crescent wrench
0.75 Correct for
misalignment
Details
The specifics of fabrication and any deviations from our plans have been noted and the table
above is meant to be a step by step guide that takes you through each process. As standard practice it is
always advisable to calculate the required time needed for welding as well as other major fabrication
methods and multiplying the minimum time by 3. This is done so as to get an accurate amount of time
that will be required and can be expected so quality does not suffer. The procedure as stated above was
followed exactly however the only deviation was the fact that in task 9 the water cooled Miller TIG
machine was found to have corrosion and build up in the coolant lines and reservoir and was rendered
unusable. The air cooled Miller TIG machine was not supplying adequate shielding gas and was used for
a small portion of the welds. The Miller MIG machine was used to finish the required welding and
provided reliable clean welds. This process of switching from machine to machine did eat some time and
is reflected in the estimated time column. The dynamic portion of the test apparatus being the slider
bar, as noted has not yet been completed and is in currently in the process of being developed.
Design 2 Notes:
Lead Screw Actuated (all-thread design)
Through-hole Thermocouple Method
Spur Gear Transmission
Hand-crank
Appendix O
3 of 5
Table O-2. Plan of Manufacture of Second Iteration
Task Number
Description Equipment Required
Est. Time (hrs.) Notes
1 Inspect raw material none 0.1 1/2 x1/2 x 5 ft pieces x5
2 Measure and mark raw
material for cutting tape measure and
soap stone 0.2 none
3 Cut raw material chop saw, face
shield 0.5 none
4 Deburr and wire brush
all measured pieces file, wire brush
wheel 0.5
clean up all sides of tubing and all cut edges
5 Deburr and wire brush
all machined components
file, wire brush wheel
0.5 clean off all oils and assemble structure
6 Welder prep and
inspection Miller TIG welder,
weld kit 0.5
check amperage, torch configuration
7 Welder set-up magnetic squares,
vice 0.1
place and fit all pieces to be welded
8 Weld test fixture 3/32 filler rod,
1/16th tungsten electrode
3.0 water cooled TIG out of
service
9 Clean and inspect welds wire brush, grinding
wheel 0.1
look for evidence of lack of shielding gas
10 Slider bar fabrication hand grinder, 90 degree air tool
1.5 Check slots for rail
clearance
11 Drill Holes for lead
screw Drill press 0.5 Align both holes
12 Configure transmission Metric /English Allen wrenches
0.5 Check all set screws,
align spur gears
13 Assemble and test
transmission Metric/English Allen
wrenches 0.5 Adjust chain tension
14 Attach slider bar and
calibrate indexing equipment
Phillips screwdriver, crescent wrench
1.0 Check for full range of
slider bar motion
15 Attach thermocouples
and bundle wiring small gage wire,
pliers 0.75
Number and record position of each thermocouple
16 Test apparatus in grill
with heat grill 1.0
Test through full range of motion
Appendix O
4 of 5
Design 3 Notes:
Lead Screw Actuated (ACME thread design)
Through-hole Thermocouple Method
Direct Drive Transmission
Electric motor Driven
Minor modification to grill sides
Table O-3. Plan of Manufacture of Final Iteration
Task Number
Description Equipment Required
Est. Time (hrs.) Notes
1 Inspect raw material none 0.1 1/2 x1/2 x 5 ft pieces x5
2 Measure and mark raw
material for cutting tape measure and
soap stone 0.2 none
3 Cut raw material chop saw, face
shield 0.5 none
4 Deburr and wire brush
all measured pieces file, wire brush
wheel 0.5
clean up all sides of tubing and all cut edges
5 Deburr and wire brush
all machined components
file, wire brush wheel
0.5 clean off all oils and
assemble structure to be welded
6 Welder prep and
inspection Miller TIG welder,
weld kit 0.5
check amperage, torch configuration
7 Welder set-up magnetic squares,
vice 0.1
place and fit all pieces to be welded
8 Weld test fixture 3/32 filler rod,
1/16th tungsten electrode
3.0 water cooled TIG out of
service
9 Clean and inspect welds wire brush, grinding
wheel 0.1
look for evidence of lack of shielding gas
10 Set up manual mill Mill kit 0.5 Fix and square vice to
within 0.001” tolerance
11 Mill slots in slider bar Vice, manual mill 0.75 Check speeds and feeds for 4 flute 0.5” end mill
12 Wire brush slider bar Wire brush wheel 0.1 Check slots for rail
clearance
Appendix O
5 of 5
Task Number
Description Equipment Required
Est. Time (hrs.) Notes
13 Measure material for
bearing plates Tape measure,
sharpie 0.1
Measure plate thickness
14 Cut Bearing plates Chop saw, face
shield 0.05 None
15 Set up manual mill Mill kit 0.5 Fix and center rotary
table
16 Drill holes in bearing
plates Manual mill, rotary
table 1.0 ¼” 2-flute end mill
17 Clean up mill Shop vacuum 0.5 Clean all chips off machine and ways
18 Wire brush bearing
plates Wire brush wheel 0.10
Remove all burrs and debris
19 Press bearings into
bearing plates Bearing press,
lubricant 0.10 Lubricate and locate
20 Weld bearing plates TIG welder 1.0 Align with lead screw in
place
21 Cut brackets for
locating nuts Electric cut off
wheel, face shield 0.75 x4 brackets
22 Wire brush bearing
brackets Wire brush wheel 0.10
Remove all burrs and
debris
23 Size 5/8th nuts and bolts
to brackets Drill press 0.10 Lubricate and locate
24 Weld nuts to brackets
and brackets to fixture TIG welder 1.0
Align with side wall
planes
25 Chase threads Tapping set 0.5 Check thread for loose
clearance
26 Align lead screw None 0.1 Check for proper
clearance
27 Attach slider bar and
calibrate indexing equipment
Power Drill with ½” chuck
0.2 Check for full range of
slider bar motion
28 Attach thermocouples
and bundle wiring small gage wire,
screw driver 0.75
Number and record position of each thermocouple
29 Slots on side walls of
grill Electric cut off
wheel 1.0
Check location and dimensions of each slot
30 Deburr slots Hand file 0.2 Check for sharp
edges/cuts
26 Test apparatus in grill
with heat Grill 1.0
Test through full range of motion
Appendix P
1 of 2
Bull Outdoor Products Senior Project: Thermocouple Testing Preparation Purpose
The following procedure is a detailed step by step guide to preparing and implementing thermocouple testing and temperature acquisition.
Note: The IECEE CTL Operation Procedure (CTL-OP 108) Laboratory Procedure for Preparation, Attachment, Extension and Use of Thermocouples was referenced.
Procedure 1. Clip all thermocouple wiring to be used to the required length and inspect to ensure no there is
no damage to outer sheath or actual wire. 2. The end that is to be used for testing should have its inner insulation stripped back
approximately 1.5 mm (.06 in.) from tip. 3. Outer insulation, if there is any, should be stripped back approximately 15 mm (0.6 in.) from tip. 4. The tip is to be welded by a single point weld, any other acceptable method that is a able to
achieve a consistent and concise material joining can be used. 5. After junction has cooled cold water bath or other reliable testing methods should be used to
ensure the thermocouple is working properly.
Placement The thermocouple should be placed in the optimal position so as to accurately read the temperature of the material in question without exceeding the limitations of the physical thermocouple or associated equipment. Areas of thermocouple contact other than the tip should be properly insulated to eliminate additional conduction.
Attachment The tip of the thermocouple should be placed in direct and consistent contact with the material to be tested and the method in which this is done should ensure the minimization of material and movement.
Securing of Thermocouples Several methods of attaching thermocouple junctions exist however finding the best application method may depend on several factors such as cost, time and material limitations. It is up to the test designer to select the appropriate method so that accurate and reliable data can be collected. These methods include tying, cementing adhesive, peening, and welding, soldering and mechanical pressure. Tying
Tying using thread or other typical flexible materials can be utilized for securing thermocouples to round items.
Cement Kaolin powder mixed with sodium silicate solution mixed in equal portions with respect to volume is one such mixture. Advantages include better thermal bond and offers larger surface area to contact junction and material. Cementing reduces the surface
Appendix P
2 of 2
area of the junction and leads exposed to air and therefore eliminate a different temperature that can be introduced.
Soldering This method is useful for attaching thermocouples to copper or other metal surfaces in which soldering materials will adhere. Soldering offers better thermal conductivity and better mechanical security over cementing a joint. The following equipment will be required:
Leather gloves
Tongs or Pliers
Safety glasses
Wire cutters
Pen
Plastic sandwich bags
Appendix Q
1 of 1
Bull Outdoor Products Senior Project: General Testing Procedure
Note: Before performing the following steps the safety procedure check list should be followed to
ensure safe and accurate test results can be obtained.
Note: A schematic, definitions of terminology and specifics on the test units are provided in Appendix A.
Grill Surface Test Experiment
1. Power up all data collection devices and ensure that all thermocouples are connected to their
correct ports and that data collection software is loaded up.
2. Test apparatus is inspected for defects and all thermocouple clips are working and in the proper
location.
3. Verify that the test apparatus is in working condition and properly positioned.
4. Make note of ambient conditions which may affect testing, such as wind speed and direction.
5. Lock one or more of the wheels on the carts in the position you plan to test.
6. If wind shields are to be used, note their placements and be sure to be consistent in their use
and set up.
7. Verify that the test area is clear of debris and other objects.
8. Test one or more of the thermocouples in and ice bath to ensure the integrity and accuracy of
the equipment.
9. Place thermocouple slider bar and test apparatus frame into the starting position and ensure
each thermocouple is in contact with ONE grill bar at around the same distance along the grill
bars.
10. Check fuel line connections, then open fuel line valves and check for leaks.
11. Fire up grill and ensure that proper ignition is achieved for all burners concerned.
12. Wait until grill reaches desired temperature range for data collection.
13. Record placement (ratchet position) and temperature of each thermocouple.
14. Move the contact bar to the next grill bar and repeat step 14.
15. Note if the hood is opened for any reason and for how long.
16. Refer to the shut down procedure to safely conclude testing.
Appendix R
1 of 1
Bull Outdoor Products Senior Project: BBQ Safety Procedure
Start Up
Note: The following is a strict guideline of procedures and precautions that should be implemented at the beginning of each experiment to ensure safety of those performing the tests and the safety of the equipment. The equipment may cause serious harm if not used properly as stated below. They are as follows: Ensure the following requirements have been met before testing:
1. Determine the area in which you plan to test has proper first aid and emergency medical materials such as eye and skin wash as well as burn kit.
2. There is proper ventilation in the area and that fire protection is available such as fire extinguishers.
3. If testing is being performed after dark, ensure that there is adequate light for safe operations. 4. Remove cover from the grill and place it in a safe place away from the testing area. 5. Inspect the grill for any foreign objects and remove them. 6. Secure all loose clothing, long hair, and flammable items. 7. Inspect gas lines or any connections that provide fuel to grills and pay close attention to
irregularities in equipment condition or abnormal smells due to leakage of fuel. 8. Always perform test with a partner present and never leave the grill unattended while in
operation. 9. When all the conditions stated above have been met, the safety procedure has been concluded
and testing may commence.
Shut Down Procedure Note : The following is a safety procedure that should be followed at the end of an experimentation period before grill units are to be stored for any amount of time. Ensure the following criteria have been met:
1. All the burner knobs are in the off position and there is no visible flame in any of the burners. 2. The main gas cut-off valve is in the closed position. 3. Be cautious of all hot surfaces and allow grill unit to cool until all surfaces including the hood are
cool enough to touch. 4. Clean up surrounding area and inspect for any parts that may have come loose or fallen off
during testing. 5. Place covers on grills and store grills in designated area, ensuring that they do not block paths or
doors.
Appendix S
1 of 1
Bull Outdoor Products Senior Project: Thermocouple Sample Test
The following equipment will be required:
Leather gloves
Tongs or Pliers
Safety glasses
Wire cutters
Pen
Plastic sandwich bags
Note: The following is a procedure that outlines the set up and test procedure associated with testing a wide range of thermocouple samples at varying temperatures. They are as follows: Ensure the following requirements have been met before testing:
1. Follow the safety start up procedure outlined previously to ensure grill is safely brought to the correct temperature given the current wind and pressure conditions.
2. Prepare all samples to be tested by inspecting for damage and debris and cutting into 3 or 4 inch
segments. 3. Organize and label all samples according to their type such as J,K,N, etc. and specific ID number
and set aside. 4. Set the temperature knobs to max temperature allowed and wait until the grill arrives at steady
state (no temperature fluctuation).
5. Place single thermocouple wire completely in grill in a designated area that appears to have the relatively best heat distribution and close hood.
6. Wait 5 minutes and lift hood to inspect sample, remove sample and reattach label and ID number and place on steel side workspace to cool.
7. Repeat steps 4 and 5 until all samples have been tested and removed.
8. Follow the safety shut down procedure to ensure grill is safely shut down and stored for later testing.
9. After all samples are cool enough to handle closely inspect each sample for indication of failure. These might be excessive sheath fraying, exposed wire or burned/melted portions of wire.
10. Record all findings immediately and file findings to be referenced in later analysis and report.
Appendix T
0 of 4
The following pages contain the EES code for calculating the view factors for each node along a
single bar. Values were output into a file, and then copied into the Excel transient calculation sheet
(shown in Appendix G).
File:F:\Senior Project\CDR Spring\Updated Calcs\view factors ver 2.EES 6/4/2013 10:09:36 PM Page 1
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
"View Factors- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -Assuming:
-see assumptions list in APPENDIX E- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -"FUNCTION VIEW(bar_set,bar_number,r_node) "declare function" F_tot_own_1:=0 "declare variable" F_tot_own_2:=0 "declare variable" F_tot_adj:=0 "declare variable" b_node:=1 "initial burner node number" b_width:=0.25 [ft] "burner width" b_to_b_dist=(0.8*9)[in]*convert(in,ft) "burner to burner distance" REPEAT "loop until b_node variable goes through last burner node" perp_dist_in=0.8 [in] IF (bar_number=1) OR (bar_number=9) THEN mod=1 ENDIF IF (bar_number=2) OR (bar_number=8) THEN mod=2 ENDIF IF (bar_number=3) OR (bar_number=7) THEN mod=3 ENDIF IF (bar_number=4) OR (bar_number=6) THEN mod=4 ENDIF IF bar_number=5 THEN mod=5 ENDIF mod_ft=(0.8[in])*mod*convert(in,ft) perp_dist_ft=perp_dist_in*mod*convert(in,ft)"perpendicular distance from bar to burner" DELTA_x_r=(0.825[in])*convert(in,ft) "rod node spacing" DELTA_x_b=DELTA_x_r*.75 "burner node spacing" r=(5/16)[in]*convert(in, ft) "rod radius" burner_dist=abs(delta_x_b*b_node-delta_x_r*r_node)"distance along burner away from rod node" L=(4.25 [in])*convert(in,ft) "view factor height (Table 13.1)"
s_1_o_1=sqrt((perp_dist_ft)^2+burner_dist^2)"long distance for view factor (Table 13.1)" s_2_o_1=s_1_o_1-(1 [in])*convert(in, ft) "short distance for view factor (Table 13.1)" F_own_1=(r/(s_1_o_1-s_2_o_1))*(arctan(s_1_o_1/L)-arctan(s_2_o_1/L))"view factor (Table 13.1)"
s_1_o_2=sqrt((perp_dist_ft+b_width)^2+burner_dist^2)"long distance for view factor (Table 13.1)" s_2_o_2=s_1_o_1-(1 [in])*convert(in, ft) "short distance for view factor (Table 13.1)" F_own_2=(r/(s_1_o_2-s_2_o_2))*(arctan(s_1_o_2/L)-arctan(s_2_o_2/L))"view factor (Table 13.1)"
s_1_a=sqrt((perp_dist_ft+mod_ft)^2+burner_dist^2)"long distance for view factor (Table 13.1)" s_2_a=s_1_a-(1 [in])*convert(in, ft) "short distance for view factor (Table 13.1)" F_adj=(r/(s_1_a-s_2_a))*(arctan(s_1_a/L)-arctan(s_2_a/L))"view factor (Table 13.1)"
b_node:=b_node+1 "go to next node" F_tot_own_1:=F_tot_own_1+F_own_1 "build up the total view factor for close own burner" F_tot_own_2:=F_tot_own_2+F_own_2 "build up the total view factor for far own burner" F_tot_adj:=F_tot_own_1+F_adj "build up the total view factor for adjacent burner" UNTIL (b_node=31) F_tot_own_1_mod=F_tot_own_1/30 "each view factor from 1/30 an area of the burner" F_tot_own_2_mod=F_tot_own_2/30 "each view factor from 1/30 an area of the burner" F_tot_adj_mod=F_tot_adj/30 "each view factor from 1/30 an area of the burner" $EXPORT /A 'G:\Senior Project\Comparative Simulations\data3.csv' bar_set,bar_number,r_node,F_tot_own_1_mod,F_tot_own_2_mod,F_tot_adj_modVIEW:=1 "return a random value to please EES"ENDbar_set=1 "set the bar set number"Feedback=VIEW(bar_set,bar_number,r_node) "call VIEW function defined above"
File:F:\Senior Project\CDR Spring\Updated Calcs\view factors ver 2.EES 6/4/2013 10:09:36 PM Page 2
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
View Factors
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Assuming:
-see assumptions list in APPENDIX E
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Function VIEW (barset, barnumber, rnode)
declare function
F tot,own,1 := 0 declare variable
F tot,own,2 := 0 declare variable
F tot,adj := 0 declare variable
bnode := 1 initial burner node number
bwidth := 0.25 [ft] burner width
b to,b,dist := 0.8 · 9 · 1 [in] · 0.083333333 · ft
inburner to burner distance
Repeat loop until bnode variable goes through last burner node
perpdist,in := 0.8 [in]
If barnumber = 1 or barnumber = 9 Then
mod := 1
If barnumber = 2 or barnumber = 8 Then
mod := 2
If barnumber = 3 or barnumber = 7 Then
mod := 3
If barnumber = 4 or barnumber = 6 Then
mod := 4
If barnumber = 5 Then
mod := 5
mod ft := 0.8 [in] · mod · 0.083333333 · ft
in
perpdist,ft := perpdist,in · mod · 0.083333333 · ft
inperpendicular distance from bar to burner
∆x,r := 0.825 [in] · 0.083333333 · ft
inrod node spacing
File:F:\Senior Project\CDR Spring\Updated Calcs\view factors ver 2.EES 6/4/2013 10:09:36 PM Page 3
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
∆x,b := ∆x,r · 0.75 burner node spacing
r := 5
16 · 1 [in] · 0.083333333 ·
ft
inrod radius
burnerdist := ∆x,b · bnode – ∆x,r · rnode distance along burner away from rod node
L := 4.25 [in] · 0.083333333 · ft
inview factor height (Table 13.1)
s1,o,1 := perpdist,ft2
+ burnerdist2 long distance for view factor (Table 13.1)
s2,o,1 := s1,o,1 – 1 [in] · 0.083333333 · ft
inshort distance for view factor (Table 13.1)
Fown,1 := r
s1,o,1 – s2,o,1
· arctans1,o,1
L – arctan
s2,o,1
Lview factor (Table 13.1)
s1,o,2 := perpdist,ft + bwidth2
+ burnerdist2 long distance for view factor (Table 13.1)
s2,o,2 := s1,o,1 – 1 [in] · 0.083333333 · ft
inshort distance for view factor (Table 13.1)
Fown,2 := r
s1,o,2 – s2,o,2
· arctans1,o,2
L – arctan
s2,o,2
Lview factor (Table 13.1)
s1,a := perpdist,ft + mod ft2
+ burnerdist2 long distance for view factor (Table 13.1)
s2,a := s1,a – 1 [in] · 0.083333333 · ft
inshort distance for view factor (Table 13.1)
Fadj := r
s1,a – s2,a
· arctans1,a
L – arctan
s2,a
Lview factor (Table 13.1)
bnode := bnode + 1 go to next node
F tot,own,1 := F tot,own,1 + Fown,1 build up the total view factor for close own burner
F tot,own,2 := F tot,own,2 + Fown,2 build up the total view factor for far own burner
F tot,adj := F tot,own,1 + Fadj build up the total view factor for adjacent burner
Until bnode = 31
F tot,own,1,mod := F tot,own,1
30each view factor from 1/30 an area of the burner
F tot,own,2,mod := F tot,own,2
30each view factor from 1/30 an area of the burner
F tot,adj,mod := F tot,adj
30each view factor from 1/30 an area of the burner
VIEW := 1 return a random value to please EES
File:F:\Senior Project\CDR Spring\Updated Calcs\view factors ver 2.EES 6/4/2013 10:09:36 PM Page 4
EES Ver. 9.210: #552: For use by Mech. Engin. Students and Faculty at Cal Poly
End VIEW
barset = 1 set the bar set number
Feedback = VIEW barset , barnumber , rnode call VIEW function defined above