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i
HEAT SPREADING PERFORMANCE OF VAPOR CHAMBER
LEE KOK HONG
A project report submitted in partial fulfilment of the
requirements for the award of the degree of
Bachelor of Engineering (Hons) Industrial Engineering
Faculty of Engineering and Green Technology
Universiti Tunku Abdul Rahman
May 2015
ii
DECLARATION
I hereby declare that this project report is based on my original work except for
citations and quotations which have been duly acknowledged. I also declare that it
has not been previously and concurrently submitted for any other degree or award at
UTAR or other institutions.
Signature : _________________________
Name : LEE KOK HONG__________
ID No. : 11AGB05948______________
Date : _________________________
iii
APPROVAL FOR SUBMISSION
I certify that this project report entitled “HEAT SPREADING PERFORMANCE
OF VAPOR CHAMBER” was prepared by LEE KOK HONG has met the
required standard for submission in partial fulfilment of the requirements for the
award of Bachelor of Engineering (Hons) Industrial Engineering at Universiti Tunku
Abdul Rahman.
Approved by,
Signature : _________________________
Supervisor : Prof. Ir. Dr. Ong Kok Seng___
Date : _________________________
iv
The copyright of this report belongs to the author under the terms of the
copyright Act 1987 as qualified by Intellectual Property Policy of Universiti Tunku
Abdul Rahman. Due acknowledgement shall always be made of the use of any
material contained in, or derived from, this report.
© 2015, Lee Kok Hong. All right reserved.
vi
ACKNOWLEDGEMENTS
First of all, I would like to express my gratitude to my supervisor, Prof. Ir. Dr. Ong
Kok Seng for the guidance, advices, supervision and enthusiasm given throughout
the progress of the research.
I would like to thank Mr Yang Chuan Choong, Mr. Christopher Lim Yi-Jin
and Mr. Tan Choon Foong for their help and valuable support during my research.
My appreciation also goes to Fujikura company and Multi Precision for
providing the vapor chamber and valuable machinery support respectively during the
research.
Last but not least, I also wish to acknowledge laboratory staff Mr Khairul
Hafiz bin Mohamad and Mr Mohd Syahrul Husni Bin Hassan for their assistance and
co-operation given to complete the research successfully.
vii
HEAT SPREADING PERFORMANCE OF VAPOR CHAMBER
ABSTRACT
The thermal performance of a vapor chamber was investigated to determine the heat
spreading effect. A vapor chamber together with a fin heat sink, aluminium block
heat spreader and heating element were assembled together to investigate the thermal
heat spreading resistance under natural and force convection air cooling. The overall
measurement of the vapor chamber was 139 x 123 x 4.7mm. A finned heat sink was
used. Electrical heating power input varied from 10W to 40W. The experimental
results showed that forced convection air cooling performance better than natural
convection. The thermal heat spreading resistance of the fin heat sink was around
0.17K/W to 0.18K/W. The thermal heat spreading resistance of vapor chamber was
kept constant which is around 0.14K/W to 0.28K/W under natural and force
convection. Furthermore, the aspect ratio of the larger heating element is almost the
same temperature to the smaller heating element under natural and force convection.
viii
TABLE OF CONTENTS
DECLARATION ii
APPROVAL FOR SUBMISSION iii
ACKNOWLEDGEMENT vi
ABSTRACT vii
TABLE OF CONTENTS viii
LIST OF TABLES x
LIST OF FIGURES xi
CHAPTER
1 INTRODUCTION 1
1.1 Background 1
1.2 Problem statement 3
1.3 Objectives 3
1.4 Outline of report 3
2 LITERATURE REVIEW 6
3 THEORETICAL MODEL 21
3.1 Theoretical model 21
3.2 Theoretical calculation 22
4 EXPERIMENTAL INVESTIGATION 24
4.1 Experimental apparatus 24
4.1.1 Fins heat sink 24
4.1.2 Aluminium block 24
4.1.3 Vapor chamber 25
ix
4.2 Experimental Procedure 25
4.2.1 Phase 1 – Heat sink only 25
4.2.2 Phase 2 – Vapor chamber, heat sink with heating
element 26
4.2.3 Phase 3 – Vapor chamber, heat sink with small heating
element 26
4.3 Experimental results 27
5 DISCUSSION OF RESULTS 78
5.1 Repeatability 78
5.2 Effect of natural and force convection (ɛ1 and ɛ2) 79
5.3 Effect of vapor chamber (Natural and ɛ1 only) 80
5.4 Effect of aspect ratio, ɛ (Natural and force convection) 82
6 SUGGESTIONS FOR FUTURE STUDIES 84
7 CONCLUSIONS 85
REFERENCE 86
NOMENCLATURE 88
APPENDICES 89
x
LIST OF TABLES
Table 1. Fins heat sink under natural convection 89
Table 2. Fin heat sink with vapor chamber under natural and force convection 89
Table 3. Effect of aspect ratio between vapor chamber and heating element 90
Table 4. Raw data for run #1 91
Table 5. Raw data for run #2 94
Table 6. Raw data for run #4 100
Table 7. Raw data for run #6 109
Table 8. Raw data of run #8 117
xi
LIST OF FIGURES
Figure 1. Cross-sectional view of a heat pipe 4
Figure 2. Cross sectional view of heat sink vapor chamber assembly 4
Figure 3. Vapor chamber for thermal management 5
Figure 4. Surface temperature for an isotropic plate with two heat sources
(Yovanovich, Muzychka, Culham, 2003) 16
Figure 5. Surface temperature for a compound plate with two heat sources
(Yovanovich, Muzychka, Culham, 2003) 16
Figure 6. Variation of the thermal resistance as a function of position for 7 watt input
power (25%, 35%, and 45%) (Z. Muhammad1, M. K. Abdullah, M. Z. Abdullah, M.
F. M. A. Majid, T.T.H. Joo and Y. Yaakob, M.F. Idrus, 2009) 16
Figure 7. Temperature distribution for vapor chamber without micro-channel
(Paisarn Naphon and Songkran Wiriyasart, 2015) 17
Figure 8. Temperature distribution for vapor chamber with micro-channel (Paisarn
Naphon and Songkran Wiriyasart, 2015) 17
Figure 9. The temperature rises of the top surface and the vertical surface of the
central plate fin for vapor chamber, copper plate and aluminum plate (Yen, S. C.,
Kuo, H. C., Tzu, C. H., Chi, C. W., Yuh, M. F., & Bau, S. P, 2008) 17
Figure 10. Temperature distribution on the conventional heat sink and vapor chamber
heat sink (Oliveira Alexandre, S., Mantelli Márcia, B. H., & Mantelli Fernando, H,
2007) 18
Figure 11. Vapor chamber inside view: (a) Photographic view, (b) SEM view at
300X, (c) SEM views at 6500X (Shukla Solomon, Pillai, 2013). 18
Figure 12. Temperature contours for comparison cells (Tong Hong Wang, Chang-
Chi Lee, Yi-Shao Lai, 2010) 19
Figure 13. Thermal interface material effects and heat source size effects (Tong
Hong Wang, Chang-Chi Lee, Yi-Shao Lai, 2010) 19
xii
Figure 14. Simulation results of LED vapor chamber-based plate (Jung-Chang Wang,
2011) 19
Figure 15. The relationship of luminance and time of LED vapor chamber-based
plate (Jung-Chang Wang, 2011) 20
Figure 16. Comparison of temperature uniformity under dual and six heat sources
(Kang, S. W., Chen, Y. T., Hsu, C. H., & Lin, J. y, 2012) 20
Figure 17. Thermal heat spreading resistance of fin heat sink for 2-D heat flow 23
Figure 18. Thermal resistance network of fin heat sink with vapor chamber 23
Figure 19. Overview of experimental setup 28
Figure 20. Schematic diagram of experimental setup without vapor chamber (Phase 1)
29
Figure 21. Schematic diagram of experimental setup with vapor chamber (Phase 2 +
3) 30
Figure 22. Heat sink 31
Figure 23. Location of measuring points on base of heat sink 31
Figure 24. Location of thermocouples on aluminium block 32
Figure 25. Location of thermocouples on aluminium block with small heating
element 32
Figure 26. Vapor chamber 32
Figure 27. Location of thermocouples on bottom of vapor chamber 33
Figure 28. Fin heat sink under natural convection (Run #1) - transient temperature 34
Figure 29. Fin heat sink under natural convection between 10W to 20W (Run 1) -
temperature distribution on base of heat sink 35
Figure 30. Fin heat sink and vapor chamber under natural convection (Run #2) -
transient temperature 36
Figure 31. Top surface of vapor chamber under natural convection between 10W to
40W (Run #2) - temperature distribution 37
Figure 32. Bottom surface of vapor chamber under natural convection between 10W
to 40W (Run #2) - temperature distribution 38
Figure 33. Fin heat sink and vapor chamber under natural convection (Run #3) -
transient temperature 39
Figure 34. Top surface of vapor chamber under natural convection between 10W to
40W (Run #3) - temperature distribution 40
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Figure 35. Bottom surface of vapor chamber under natural convection between 10W
to 40W (Run #3) - temperature distribution 41
Figure 36. Fin heat sink and vapor chamber under forced convection (Run #4) -
transient temperature 42
Figure 37. Top surface of vapor chamber under force convection between 10W to
40W (Run #4) - temperature distribution 43
Figure 38. Bottom surface of vapor chamber under force convection between 10W to
40W (Run #4) - temperature distribution 44
Figure 39. Fin heat sink and vapor chamber under forced convection (Run 5) -
transient temperature 45
Figure 40. Top surface of vapor chamber under force convection between 10W to
40W (Run #5) - temperature distribution 46
Figure 41. Bottom surface of vapor chamber under force convection between 10W to
40W (Run #5) - temperature distribution 47
Figure 42. Fin heat sink and vapor chamber with small heating element under natural
convection (Run #6) - transient temperature 48
Figure 43. Top surface of vapor chamber under natural convection between 10W to
40W (Run #6) - temperature distribution 49
Figure 44. Bottom surface of vapor chamber under natural convection between 10W
to 40W (Run #6) - temperature distribution 50
Figure 45. Fin heat sink and vapor chamber with small heating element under natural
convection (Run #7) - transient temperature 51
Figure 46. Top surface of vapor chamber under natural convection between 10W to
40W (Run #7) - temperature distribution 52
Figure 47. Bottom surface of vapor chamber under natural convection between 10W
to 40W (Run #7) - temperature distribution 53
Figure 48. Fin heat sink and vapor chamber with small heating element under forced
convection (Run #8) - transient temperature 54
Figure 49. Top surface of vapor chamber under force convection between 10W to
40W (Run #8) - temperature distribution 55
Figure 50. Bottom surface of vapor chamber under force convection between 10W to
40W (Run #8) - temperature distribution 56
Figure 51. Fin heat sink and vapor chamber with small heating element under forced
convection (Run #9) - transient temperature 57
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Figure 52. Top surface of vapor chamber under force convection between 10W to
40W (Run #9) - temperature distribution 58
Figure 53. Bottom surface of vapor chamber under force convection between 10W to
40W (Run #9) - temperature distribution 59
Figure 54. Comparison of top surface of vapor chamber under natural convection at
10W to 15W between phase 1 and phase 2 (Run #1 and run #2) - temperature
distribution 60
Figure 55. Comparison of top surface of vapor chamber under natural convection at
20W between phase 1 and phase 2 (Run #1 and run #2) - temperature distribution 61
Figure 56. Comparison of top surface of vapor chamber under natural convection at
10W to 15W between phase 2 and phase 3 (Run #2 and run #6) - temperature
distribution 62
Figure 57. Comparison of top surface of vapor chamber under natural convection at
20W to 40W between phase 2 and phase 3 (Run #2 and run #6) - temperature
distribution 63
Figure 58. Comparison of bottom surface of vapor chamber under natural convection
at 10W to 15W (Run #2 and run #6) - temperature distribution 64
Figure 59. Comparison of bottom surface of vapor chamber under natural convection
at 20W to 40W between phase 2 and phase 3 (Run #2 and run #6) - temperature
distribution 65
Figure 60. Comparison of top surface of vapor chamber under natural convection at
10W to 15W between phase 2 and phase 3 (Run #3 and run #7) - temperature
distribution 66
Figure 61. Comparison of top surface of vapor chamber under natural convection at
20W to 40W between phase 2 and phase 3 (Run #3 and run #7) - temperature
distribution 67
Figure 62. Comparison of bottom surface of vapor chamber under natural convection
at 10W to 15W between phase 2 and phase 3 (Run #3 and run #7) - temperature
distribution 68
Figure 63. Comparison of bottom surface of vapor chamber under natural convection
at 20W to 40W between phase 2 and phase 3 (Run #3 and run #7) - temperature
distribution 69
xv
Figure 64. Comparison of top surface of vapor chamber under force convection at
10W to 15W between phase 2 and phase 3 (Run #4 and run #8) - temperature
distribution 70
Figure 65. Comparison of top surface of vapor chamber under force convection at
20W to 40W between phase 2 and phase 3 (Run #4 and run #8) - temperature
distribution 71
Figure 66. Comparison of bottom surface of vapor chamber under force convection
at 10W to 15W between phase 2 and phase 3 (Run #3 and run #7) - temperature
distribution 72
Figure 67. Comparison of bottom surface of vapor chamber under force convection
at 20W to 40W between phase 2 and phase 3 (Run #3 and run #7) - temperature
distribution 73
Figure 68. Comparison of top surface of vapor chamber under force convection at
10W to 15W between phase 2 and phase 3 (Run #5 and run #9) - temperature
distribution 74
Figure 69. Comparison of top surface of vapor chamber under force convection at
20W to 40W between phase 2 and phase 3 (Run #5 and run #9) - temperature
distribution 75
Figure 70. Comparison of bottom surface of vapor chamber under force convection
at 10W to 15W between phase 2 and phase 3 (Run #5 and run #9) - temperature
distribution 76
Figure 71. Comparison of bottom surface of vapor chamber under force convection
at 20W to 40W between phase 2 and phase 3 (Run #5 and run #9) - temperature
distribution 77
1
CHAPTER 1
INTRODUCTION
1.1 Background
Heat pipes are devices with high thermal conductivity. The heat pipe is able to
transfer a very large quantity of heat and operate efficiently and effectively. The
ability of a heat pipe to operate is through heat transfer process of evaporation and
condensation. A heat pipe is able to transfer an amount of energy equivalent to a
thousand times more than what a copper rod could for a same temperature gradient.
The structure of heat pipe consists of a tube with little amount of working fluid and a
wick. The heat pipe is composed of three sections which are the evaporator section,
thermal insulation section and the condenser section. Figure 1 below shows the
cross-sectional view of a heat pipe.
The evaporator section is where the working fluid comes in contact with the
heat source. When the source of heat is applied to the surface layer of the evaporator
section, the heat will cause the working fluid to boil and the fluid in turn evaporates
and gives up latent heat of vaporization. The steam then spreads towards the cooler
region which is condenser section due to the pressure generated by the temperature
differences. Subsequently, the working fluid condenses in the condenser section and
gives up latent heat of condensation at the same time. The working fluid in turn
returns back into the liquid form and return to the evaporator section. After that the
2
repeating the cycle from evaporator section to condenser section of the pipe
continues endlessly up to a point of time that there is no temperature difference.
A vapor chamber is a flat heat pipe. It is a heat transfer device that is derived
from the concept of a heat pipe and consists of a sealed aluminum or copper
container. Vapor chamber is a mechanism with similar concept like heat pipe but the
shape between vapor chamber and heat pipe is the main difference. Therefore, the
dimensional flow of heat pipe and vapor chamber is different also. A heat pipe can
only flow in one dimensional from one single point to another but vapor chamber can
flow in two or three dimensions. Thus, the vapor chamber can achieve better
temperature uniformity as compared to the heat pipe. This is the purpose vapor
chamber will be using instead of heat pipe. For heat sink vapor chamber assembly, it
consists of a heat sink that is placed at the top of a vapor chamber for condensation
purpose. Figure 2 shows cross-sectional view of heat sink vapor chamber assembly.
The internal part of the vapor chamber is filled with a working fluid such as
distilled water. The fluid exists as a liquid under normal conditions. Heat dissipated
on the surface of the evaporator section of the pipe causes the fluid to boil, vaporize
and in turn picks up latent heat of vaporization. The vapor circulates inside the sealed
container and it condenses at the condenser section. Here, the gas gives up its latent
heat of condensation. Then the condensate flows back into the evaporator section by
the surface tension in the wick lining in the wall or by gravity in the case of a
wickless vapor chamber. The heat is transferred from the evaporator section to the
condenser section of the vapor chamber.
A vapor chamber is different from a heat pipe in that the condenser covers the
entire top surface of the structure. In a vapor chamber, the heat transfers in two
directions and is planar. In a heat pipe, heat transmission is in one direction and is
linear. The vapor chamber has a higher heat transfer rate and lower thermal
resistance. In the two-phase vapor chamber device, the rates of evaporation,
condensation and fluid transport are determined by the vapor chamber’s geometry
and the wicks structural properties. These properties include porosity, pore size,
permeability, specific surface area, thermal conductivity and the surface
wettability of the working fluid. Thermal properties of the wick structure and the
vapor space are described in the next section. Figure 3 is shown below.
3
1.2 Problem statement
Thermal management is a major concern in the electronic industry. As electronic
components become smaller and with higher thermal heat flux, it is necessary to find
a solution to increase reliability and sustain faster operation. Most electronic devices
like laptops use heat sinks to dissipate the heat that is generated. Computers are
running with high heat flux generated by the chips. There high temperatures can
easily lead to system crashes.
Using a fan or plate of high thermal conductivity is not effective enough to
dissipate the heat especially with high heat fluxes. Therefore, it is important to study
the thermal performance of the vapor chamber so that it can support the industry to
achieve a better solution. In this study, focus will be placed on the thermal
performance of vapor chambers with different aspect ratio of heating element, heat
sink surface area and different air cooling methods with different power input.
1.3 Objectives
The overall objective of the study is to evaluate the performance of a vapour
chamber. The study would be conducted in the following phases:
1. Phase 1: Performance of a fin heat sink under natural and force convection air
cooling.
2. Phase 2: Thermal heat spreading performance of vapor chamber.
3. Phase 3: Effect of aspect ratio of the heating element and heat sink.
1.4 Outline of report
Chapter 1 introduces the heat pipe and vapor chamber. Chapter 2 presents a literature
review of studies reported on the vapor chamber. A theoretical model for thermal
resistance of fin heat sinks is presented in chapter 3. Chapter 4 describes the
experimental apparatus and procedures and the experimental results obtained.
Chapter 5 discusses the experimental results obtained. Chapter 6 suggests some
further studies for future investigation. Chapter 7 concludes the thesis.
4
Evaporator
section
Condenser
section
Heat input from semi-conductor
Vapor
chamber
Heat sink
Heat dissipated to ambient
Liquid film
Figure 1. Cross-sectional view of a heat pipe
Figure 2. Cross sectional view of heat sink vapor chamber assembly
6
CHAPTER 2
LITERATURE REVIEW
Yovanovich, Muzychka, Culham et al. (2003) have investigated the thermal
spreading resistance of eccentric heat sources on rectangular flux channels. The
solutions are obtained for both isotropic and compound flux channels. The general
solution can also be used to model any number of discrete heat sources on a
compound or isotropic flux channel using superposition. They diversified on the
usage of single and multiple heat sources as well. The results showed that the
temperature at the surface of a rectangular flux channel may be used to predict the
centroid temperatures for any number of heat sources using superposition. In
addition, the spreading resistance from a single eccentric heat source on isotropic,
compound, finite, and semi-infinite flux channels may be used to compute the
spreading resistance for corner and edge heat sources using the method of images.
Figure 4 and 5 shows the surface temperature for an isotropic plate with two heat
sources and surface temperature for a compound plate with two heat sources.
Zhang Ming et al. (2008) have carried out the experimental and numerical
investigation of a grooved vapor chamber. Vapor chamber is highly effective thermal
spreader. In this experiment, a novel grooved vapor chamber was designed. The
grooved structure of a vapor chamber can improve its axial and radial heat transfer. It
can also form the capillary loop between evaporation and condensation surfaces.
Besides that, the effect of heat flux of filling amount and gravity towards the
performance of a vapor chamber is studied by this experiment. From the experiment,
it obtained the best filling amount of this grooved vapor chamber. The thermal
resistance of a vapor chamber is compared with the solid copper plate, it is suggested
7
that the heat flux condition should be maintained to use a vapor chamber as an
efficient thermal spreader for cooling of electronics. A two-dimensional heat and
mass transfer model for the grooved vapor chamber is developed. The numerical
simulation results show that the thickness distribution of the liquid film in the
grooves is not uniform. The temperature and velocity field in the vapor chamber are
obtained. The thickness of the liquid film in the groove is influenced by pressure of
vapor and liquid beside liquid–vapor interface and can enhance the performance of a
vapor chamber. The optimal filling ratio should be maintained as a steady thin liquid
film in the heat source region of a vapor chamber. The steam condenses on
condensation surface so that the condensation surface achieves great uniform
temperature distribution. The results showed that the experimental results and
numerical simulation results are verified by the numerical model.
Z. Muhammad et al. (2009) have carried out an experiment on how to
improve the performance of electronic device. The device will cause the heat
dissipated at high heat flux and it requires better cooling to remove the heat to
maintain the performance and reliability of the electronic device. The conventional
cooling system such as rotary fan is inadequate for today’s high power dissipation
electronic products. To solve this problem, the vapor chamber is introduced as a part
of the heat remover device. The vapor chamber in this study has an area of 64 mm ×
44 mm. It is a two-phase closed flat chamber made of copper. Water is enclosed as
the working fluid, and four types of wick structures are used in the 5 mm thick vapor
chamber. The experiments were carried out for different types of wick structure such
as trapezium, rectangular, circular, empty and linear. The wick structure that leads to
the smallest overall thermal resistance which are 1.22, 0.49 and 0.05°C/W at 7 W,
and the maximum evaporator temperature were 65, 64 and 70 °C respectively and the
fill ratio of working fluid in a vapor chamber of 45% is found to be the linear wick
structure. Figure 6 shows the variation of the thermal resistance as a function of
position for 7 watt input power (25%, 35%, and 45%). From the experiment, the
design that has lowest thermal resistance is the rectangular structure. The wick
structure with the working fluid and the boiling phenomenon is practically effective
for a 45% fill ratio.
8
Paisarn Naphon et al. (2015) investigated the numerical and experimental
results on the thermal performance of a vapour chamber with and without micro-
channel under constant heat flux. The mathematical model of the vapour chamber is
a two-phase closed chamber with wick sheet and a wick column. A finite volume
method with structured uniform grid method system is applied to solve the model.
The variation of the temperature distribution of the vapour chamber with micro-
channel and without microchannel is different. With the micro-channel, the bottom
copper plate is the evaporator section that may be mounted on the electrical heater to
absorb the generated heat and the condenser section which heat is transferred to heat
sink and unmixed air flow cooling respectively. Without the micro-channel, the
interior volume of the vapour chamber is occupied with the working fluid and it can
be seen that the regions of concentrated high temperature are observed above the
heating element that lead to the accumulation of heat close to the heating region. The
generation of heat spreads more uniformly to the base plate. Figure 7 and 8 shows
the temperature distribution for the vapour chamber with and without micro-channel.
The results showed that the numerical results are useful for the design for the
improvement of thermal performance of the vapour chamber and also diminishes the
expense and time of a real test.
Ahmed A.A. Attia et al. (2012) has investigated the experimental
investigation of vapour chamber with different working fluids at different charge
ratios. In this experiment, work is done to evaluate thermal performance of 2.0 mm
high and 50 mm diameter vapour chamber with water and methyl alcohol at different
charge ratios. On the other hand, water and Propylene Glycol at two concentrations
50%, 15% were tested to study the effect of using surfactant as enhancement agent
for working fluid. The total thermal resistance of the chamber is divided into three
types which is junction resistance, internal resistance, and condenser resistance to
determine which type of thermal resistance has a major effect on chamber total
thermal resistance. The results show that using water as working fluid is much better
than using methyl alcohol. The charge ratio of 30% is best for most tested working
fluids. Using propylene glycol is much better than using water because the more
propylene glycol increases the more total thermal resistance of the vapour chamber
decreases. The junction resistance has the greatest value of thermal resistance of the
9
vapour chamber about 90% of the total thermal resistance so that it can reduce
junction resistance through enhancement vapouration process.
Chen et al. (2008) carried out numerical simulation of a heat sink embedded
with a vapour chamber and calculation of effective thermal conductivity of a vapour
chamber. The internal vapour is assumed as a common heat-transfer interface
between the wicks within using the vapour chamber. The study using the CFD
simulations of the integrated heat sink with this assumption. The calculated results
show that is good agreement with the experiments and a maximum difference of 6.3%
for the hotspot temperature rises. The study also found out the area of the heat source
has an important influence to the performance of the vapour chamber and the
spreading resistance of the vapour chamber comes from the bottom wall where a
concentrated heat source is used. In addition, the isotropic and orthotropic
approaches are proposed to calculate the effective thermal conductivities of the
vapour chamber. The vapor chamber can reduce the spreading resistances
sufficiently by its excellent lateral thermal spreading effect, which can be interpreted
by the orthotropic approach. Figure 9 shows the temperature rises of the top surface
and the vertical surface of the central plate fin for vapour chamber, copper plate and
aluminium plate.
Masataka Mochizuki et al. (2009) studied the thermal management in high
performance computers by use of heat pipes and vapour chambers. Nowadays,
computer processors performance and power consumption has been increased
significantly every year. Due to nano-size circuit technology, heat dissipation has
been increased but the size of die on the processor has been reduced or remained the
same size. Therefore, the heat flux is high. The extreme high performance processors
heat flux can be over 100 W/cm2 which is likely 10 times higher than the surface of
the household standard clothes iron. The intention of this paper is to provide insight
into various thermal management solution using heat pipes and vapour chambers as
heat transfer devices. The utilization of the two-phase fluid is spread the heat of
extending the air cooling limit capability for high performance computers. In
addition to the thermal management for computers include consideration use of heat
pipes to prevent global crisis of global warming and environmental impact by
reducing green house gas emission. The result showed that the development for next
10
generation of high power cooling chips and heat pipes is used in potential application
to reduce global warming.
Oliveira et al. (2007) has carried out the use of vapour chamber on electronic
devices to eliminate hot spots under heat sink. The hot spots are generated by high
heat fluxes from the large amount of trails and high processing of microprocessors.
These surfaces are usually small in some applications even the materials which are
good thermal drivers such as aluminium and copper are not capable of dissipating the
heat generated by the processor. This study is used a vapour chamber with a wick
structure to analyses the increase of the heat sink efficiency by. A finned vapour
chamber heat sink with dimensions 120 mm x 109 mm x 70 mm was built and tested
with filling ratios ranging from 10% to 40% of the vapour chamber volume and heat
power input ranging from 25W to 200 W. The result showed that the filling ratio of
30% leads to the smallest vapour chamber thermal resistance of 0.21ºC/W at 200W.
A conventional heat sink was compared and also tested and presented 0.24ºC/W
which corresponds in a decrease of 12.5% in the heat sink total thermal resistance.
Figure 10 shows the temperature distribution on the conventional heat sink and
vapour chamber heat sink.
Hao Peng et al. (2013) studied on the heat transfer performance of an
aluminium flat plate heat pipe with fins in vapour chamber. A variety of performance
tests of flat plate heat pipe were carried out with different air flow velocities between
1.5 m/s and 6 m/s. The working fluid filling ratios and vacuum degrees was also
different which was between 10% to 50% and the 0.002 Pa to 0.25 Pa. The distilled
water and acetone was used as working fluids. The influence of the above parameters
on steady-state heat transfer characteristics of the flat plate heat pipe was also
examined. The result was shows that the filling ratio and vacuum degree had a
significant influence on thermal performance of flat plate heat pipe. The distilled
water and acetone were used to compare the cooling performances; the flat plate heat
pipe cooling component using acetone had a stronger heat dissipation capacity for
the same filling ratio.
11
Shukla et al. (2012) describes experimental studies on the heat transfer
performance of a wickless vapour chamber with a heat sink. A vapour chamber was
used with dimension 78 mm length x 64 mm width was fabricated with a thickness of
5 mm and tested for two different working fluids which is copper-water and
aluminium-water nanofluids. The filling ratio of nanofluids was about 30% of the
vapour chamber volume. The de-ionized (DI) water is also used as a working fluid.
The vapour chamber was tested at power input of 90W to 150W. They observed that
the nanofluids charged vapour chamber performs better than that charged with de-
ionized water. The decrease of the thermal resistances was found with the increase of
the weight percentage of the nano particles. The copper nanofluids charged vapour
chamber performs better than that charged with aluminium nanofluids and deionized
water. The thermal conductivity was concentration and particle densities play major
role in the enhancement of heat transfer and found out the thin porous layer formed
on the evaporator surface causes dry spot rewet ability. It was also responsible for the
heat transfer enhancement of the vapour chamber using nano fluids. Furthermore, the
vapour chamber with heat sink and nanofluids can easily be integrated with heat
dissipating components and it will have wide applications in electronics cooling.
Figure 11 shows the vapour chamber inside view.
Tong et al. (2010) have carried an experiment on the thermal analysis which
compares the thermal performance of a board-level high performance flip-chip ball
grid array package equipped with solid Cu or vapour chamber as the heat spreader
and Al-filler gel or In solder as the thermal interface material. The effect of different
heat source sizes was also examined. The numerical experiment results showed the
thermal performance is remarkably enhanced by switching thermal interface material
from Al-filler gel to in solder while the enhancement by using vapour chamber
instead of solid Cu heat spreader is only observable when In solder is incorporated.
Moreover, the performance of vapour chamber gradually enhances then retards as the
heat source size decreases. Furthermore, when the heat source size is getting smaller,
the thermal enhancement of vapour chamber is getting greater compared with the
solid Cu heat spreader. However, when the heat source size keep reduce, the
enhancement of vapour chamber was retards. The reason is under such a situation the
bottleneck of heat dissipation is the die, which apparently cannot be improved by
simply changing thermal interface material or heat spreader. Figure 12 were shown
12
the temperature contours for comparison and Figure 13 is thermal interface material
effects and heat source size effects.
Tsai et al. (2008) describes the fundamental experiments on heat transfer
characteristics by using vapour chamber as a thermal solution for cooling of high
performance electronic devices. The vapour chamber was used in this experiment
with dimension of 87 mm × 90 mm. The vapour chamber is a two-phase closed flat
chamber made of copper. Water is enclosed as the working fluid, and sinter columns
made of small copper particles (particle size around 100mesh, 50% porosity) are
used as the wick into the 4 mm thickness vapour chamber. First experiments were
undertaken to evaluate the performance of vapour chamber with five different water
fill rates of 17%, 25%, 34%, 50%, at different input powers by air cooling condenser.
The heater surface is 14 mm × 14 mm. The results show that the best fill rate in
these four fill rate is 34 %. Secondly, we changed air condenser to water condenser
of 30 % fill rate. The heater surface area is 31 mm × 31 mm. The cooling water
temperature set at 20°C, and the flow rate set at 0.2 L/min. When the system reached
steady state, the temperature was recorded to evaluate the performance of the vapour
chamber. According to experiments, the fill rate of 30% leads to the smallest overall
thermal resistance is 0.51 °C/W at 73 W, and the maximum evaporator temperature
was 57 °C of the heater by air condenser. The secondly experiments for the fill rate
of 30%, the smallest overall thermal resistance is 0.181 °C/W at 243 W, and the
maximum evaporator temperature was 64 °C of the heater by water cooling
condenser. For comparison purposes, a conventional heat sink was also tested and
presented 0.88 °C/W in small size heat area and 0.312C/W in large surface area,
under these conditions which corresponds both decrease of 42% and in the heat sink
total thermal resistance
Chiang et al. (2008) carried out the thermal performance of the vapor
chamber. With the development of chip performance and operational speed, the
hotspot produced by the non-uniform density of heat source becomes even severe. To
solve the hotspot problem, the vapor chamber has been developed. Effects of the fill
ratio, the heating area, and the power dissipation on the vapor chamber performance
are investigated. It is found that a preferable fill ratio is 30% above or below which
13
the vapor chamber resistance increases. In addition, the vapor chamber resistance
increases with decreasing the heating area. For a fill ratio of 30% and a power
dissipation of 140 W, the vapor chamber resistance increases by 55% with the
heating area being varied from 961 mm2 to 81 mm
2. To further validate the capability
of the vapor chamber, the comparison between the vapor chamber and a copper plate
is also performed. It is found that, for a 30% fill ratio and a power dissipation of 140
W, the temperature difference between the top wall center and its periphery is 2.5oC
for the vapor chamber and is 15.5oC for the copper plate. The vapor chamber
veritably proves a better heat spreader compared with the copper plate.
Wang et al. (2011) investigated Thermal investigations on LED vapor
chamber-based plates. A thermal-performance experiment with the illumination-
analysis method was discussed the thermal performance of three kinds of LED based
on the plates compared with the experiments, theories, and simulation thermal
resistances. The results show that the thermal performance of the LED vapor
chamber-based plate is better than that of the LED copper-based plate with an input
power above 5W. The experimental thermal resistance values of LED copper- and
vapor chamber-based plate are 0.41 °C/W and 0.38 °C/W at 6W respectively. The
illumination of 6 Watt LED vapor chamber-based plate is 5% larger than the 6 Watt
LED aluminum-based plate. Therefore, the LED vapor chamber-based plate has the
best thermal performance above 5W. Figure 14 and 15 show the simulation results of
LED vapor chamber-based plate and the relationship of luminance and time of LED
vapor chamber-based plate.
Xiao et al. (2008) carried out the three-dimensional model to analyze the
thermal hydrodynamic behaviors of flat heat pipes without empirical correlations.
The three dimensional model accounts for the heat conduction in the wall, fluid flow
in the vapor chambers and porous wicks and the coupled heat and mass transfer at
the liquid interface. The flat pipes with and without vertical wick columns in the
vapor channel are intensively investigated in the model. Parametric effects, including
evaporative heat input and size on the thermal and hydrodynamic behavior in the
heat pipes, are investigated. The results show that the vertical wick columns in the
vapor core can improve the thermal and hydrodynamic performance of the heat pipes
14
including thermal resistance, capillary limit, wall temperature, pressure drop, and
fluid velocities due to the enhancement of the fluid/heat mechanism form the bottom
condenser to the top evaporator. The prediction that higher evaporative heat input
improves the thermal and hydrodynamic performance of the heat pipe and shortening
the size of heat pipe degrades the thermal performance of the heat pipe.
Xuan et al. (2004) investigated performance and mechanism of a flat plate
heat pipe. The flat plate heat pipe is a layer of sintered copper powder is applied to
the heated surface of the heat pipe to enhance evaporation process. The performance
of the flat plate heat pipe is experimentally measured under different heat fluxes,
orientations and amount of the working fluid. in order to investigate the effects of
charge amount of the working fluid, thickness of the sintered layer and orientation of
the heat pipe on the performance of the flat plate heat pipe. A theoretical model is
proposed to simulate dynamic behavior and steady-state performance of the flat plate
heat pipe. The simulation result shows that dynamic behavior of a flat plate heat pipe
is affected by geometrical parameters, charge amount of the working fluid and
installation orientation. The porous sintered layer on the heated surface can enhance
evaporation process and improve performance of the flat plate heat pipe. The
comparison between the solid heat sink and the flat plate heat pipe has great potential
for electronic elements with high power consumption because of its unique
performance of high response, efficiency, isothermal and lightweight feature.
Shou et.al (2008) have conducted an experiment to examine the spreading
thermal resistance of centrally positioned heat sources and the thermal performance
of a water charged, gravity assisted flat vapor chamber to be used for electronic
cooling. Parametric studies including different heat fluxes and operating
temperatures were conducted, and the effect of the relevant parameters on the
cooling performance in terms of the spreading resistance was presented and
discussed. The experiment results showed that the evaporation/condensation heat
transfer coefficient increases as the applied heat power increases. It is found that the
evaporation heat transfer coefficient is about 6000 W/m2 °C, and the condensation
heat transfer coefficient is 10,000 W/m2 °C at 140 W applied power. The maximum
heat input of 140 W with a heater size of 80 · 80 mm was found with a total thermal
15
resistance (Rt) of 0.5 °C/W at an operating temperature of 70 °C; while the thermal
spreading resistance (Rsp) is about 0.20 °C/W and is independent of the operating
temperature. The junction temperature of the die can reach 97 °C (74 °C) for 140 W
heat input at the operating temperature of 70 °C (50 °C), and the heat removal rate
can be up to 220 W/cm2. Based on the present experimental study, it is found that
the vapor chamber heat spreader is a good replacement for the traditional solid metal
heat sink under the cases studied herein. The present gravity assisted vapor chamber
has great potential for CPU cooling of a desktop PC Compared with the solid heat
sink.
Kang et al. (2012) investigated the temperature uniformity of multi-well
vapor chamber heat spreader. The experiment was conducted with different type of
multi-well heat spreader which was aluminum, copper, silver and vapor chamber
with dual and six heat sources under different power input. The multi-well heat
spreader is used with dimension 112mm x 75mm x 17.2mm with 96 holes each 5mm
diameter and the heat source is used with dimension 30mm x 30mm each. From the
experiment they found out the six heat sources was better uniform that dual heat
source over all types of multi-well heat spreader. The vapor chamber has best
uniformity than others and followed by silver, copper and aluminum which show in
figure below. The result also shows that the temperature will get affected by
surrounding temperature when in low heading rate which form a curve shape but
when in high temperature it is not easily affect by surrounding temperature which
shown in straight line. Figure 16 shows the comparison of temperature uniformity
under dual and six heat sources.
Lin et al. (2011) has carried out a measuring system to determine the thermal
performance of heat pipe, vapor chamber and defrost plate. They used the vapor
chamber with dimension of 50mm x 50mm and the thicknesses are 3.5mm and
6mm with the heat source ratios of 0.35, 0.53, and 0.71. The heat input range is from
1W to 5W with natural convection to ambient. The result showed that the different
thinness of vapor chamber and spreading ratio of heat source will affect the axial
thermal resistant. They also have indicated that the thicker of vapor chamber and the
lower of heat source ratio resulted higher axial thermal resistance
16
Figure 4. Surface temperature for an isotropic plate with two heat sources
(Yovanovich, Muzychka, Culham, 2003)
Figure 5. Surface temperature for a compound plate with two heat sources
(Yovanovich, Muzychka, Culham, 2003)
Figure 6. Variation of the thermal resistance as a function of position for 7 watt
input power (25%, 35%, and 45%) (Z. Muhammad1, M. K. Abdullah, M. Z.
Abdullah, M. F. M. A. Majid, T.T.H. Joo and Y. Yaakob, M.F. Idrus, 2009)
17
Figure 7. Temperature distribution for vapor chamber without micro-channel
(Paisarn Naphon and Songkran Wiriyasart, 2015)
Figure 8. Temperature distribution for vapor chamber with micro-channel
(Paisarn Naphon and Songkran Wiriyasart, 2015)
Figure 9. The temperature rises of the top surface and the vertical surface of the
central plate fin for vapor chamber, copper plate and aluminum plate (Yen, S.
C., Kuo, H. C., Tzu, C. H., Chi, C. W., Yuh, M. F., & Bau, S. P, 2008)
18
Figure 10. Temperature distribution on the conventional heat sink and vapor
chamber heat sink (Oliveira Alexandre, S., Mantelli Márcia, B. H., & Mantelli
Fernando, H, 2007)
Figure 11. Vapor chamber inside view: (a) Photographic view, (b) SEM view at
300X, (c) SEM views at 6500X (Shukla Solomon, Pillai, 2013).
19
Figure 12. Temperature contours for comparison cells (Tong Hong Wang,
Chang-Chi Lee, Yi-Shao Lai, 2010)
Figure 13. Thermal interface material effects and heat source size effects (Tong
Hong Wang, Chang-Chi Lee, Yi-Shao Lai, 2010)
Figure 14. Simulation results of LED vapor chamber-based plate (Jung-Chang
Wang, 2011)
20
Figure 15. The relationship of luminance and time of LED vapor chamber-
based plate (Jung-Chang Wang, 2011)
Figure 16. Comparison of temperature uniformity under dual and six heat
sources (Kang, S. W., Chen, Y. T., Hsu, C. H., & Lin, J. y, 2012)
21
CHAPTER 3
THEORETICAL MODEL
3.1 Theoretical model
A theoretical model for thermal heat spreading resistance of fin heat sink for 2-D
heat flow was shown in Figure 17. An aluminium block is placed in the middle of the
heating element and the fin heat sink. The heating element is smaller than the heat
sink. The temperature of the surface of the heating element (Ts) was assumed to be
uniformly distributed. The temperature of the top surface (Tal) of the aluminium
block was assumed to be uniform as well. Contact resistance between the base of the
heat sink and the top of the aluminium block was assumed to be negligible. Due to
that the thermal heat spreading that occurs on the interface of the temperature (Tf)
that will not be uniform. The base of the heat sink has a maximum temperature (Tfmax)
and the mean temperature (Tfm).
On the other hand, the thermal resistance network of a fin heat sink with
vapour chamber is shown in Figure 18. The thermal heat spreading exists at the
interface between the bottom of the vapour chamber and the top of the aluminium
block. The bottom surface of the vapour chamber will show the mean temperature
(Tvcm) and the maximum temperature (Tvcmax). The temperature at the top surface of
the vapour chamber (Tfm) was to be expected to have a uniform distribution.
22
3.2 Theoretical calculation
There were some equations that were needed to use in the experiment especially the
equation that to calculate the resistance and heat loss. The formulas were shown in
below:
Thermal resistance of aluminium block is given by
(1)
Thermal spreading resistance of heat sink is given by
(2)
Thermal resistance of heat sink is given by
(3)
Total 2-D heat spreading thermal resistance of the fin heat sink assembly is given by
∑ (4)
Thermal spreading resistance of vapor chamber is given by
(5)
Thermal resistance of vapor chamber is given by
(6)
Overall thermal resistance of the vapor chamber is given by
(7)
Total thermal resistance of the heat sink with vapor chamber is given by
∑ (8)
Heat loss from heating element is estimated from
(
) ( ) (9)
23
Ta
Al block
(a). Cross-section of fin heat sink.
(b). Resistance network of fin
heat sink.
Insulation
Tal
Heat source
Fin heat sink
Tfmax
Ts
Tfm
Ts
Ta
Rf1D Tfm
Ral
Tal
PEH
Rsrf
Tfmax
Rf2D
Ta
Ta
Tvcm
Rf1D
Rsrvc
Tfm
Tvcmax
Tfm
PEH
Rvc
(a). Cross-section of fin heat sink with
vapor chamber.
(b). Resistance network of fin heat sink with
vapor chamber.
Vapor chamber
Insulation
Heat source
Al block
Fin heat sink
Tvcmax
Tal
Ts
Ral Ts
Tvcm
Tal
Rvco
Rfvc
Figure 17. Thermal heat spreading resistance of fin heat sink for 2-D heat flow
Figure 18. Thermal resistance network of fin heat sink with vapor chamber
24
CHAPTER 4
EXPERIMENTAL INVESTIGATION
4.1 Experimental apparatus
The basic experimental equipment consists of a fin heat sink, vapor chamber,
aluminium block and heating element. The investigation was conducted in 3 phases.
Figure 19 shows phase 1 is to investigate the performance of a fins heat sink. Phase
2 for a performance of a vapor chamber compared to a fin heat sink is shown in
figure 20. The setup for phase 3 is similar to the phase 2. The vapor chamber is
given with a smaller heating element.
4.1.1 Fins heat sink
The base of the fin heat sink measured 137mm long x 123mm wide x 10mm thick.
The dimensions of the fins are shown in Figure 19 and 20. A photograph of the fins
heat sink is shown in Figure 21. The locations of measuring point on the base of the
heat sink are shown in Figure 22.
4.1.2 Aluminium block
An aluminium block was placed in between the heating element and vapor chamber.
The aluminium block was provided groove with spaced apart. The depth of each
grooved was 1.5mm and the width of was 3mm. The aluminium block measured
37mm x 37mm x 12.5mm. The function of aluminium block was to house the
thermocouples used for measuring the temperatures between the heating element and
the vapor chamber. Details of the aluminium block are shown in Figure 23 and 24
together with the locations of the thermocouples.
25
4.1.3 Vapor chamber
The vapor chamber measured 139mm long x 123mm wide x 4.7mm thick. Figure 25
and 26 shows the vapor chamber and location of the thermocouples on the bottom of
the vapor chamber respectively.
4.2 Experimental procedure
4.2.1 Phase 1 (Heat sink only)
A G-clamp was used to press heat sink, aluminium block and heating element
together with total of 1 runs which from run #1. Thermal insulation was placed
around the aluminium block and heating element to minimize heat loss to ambient air.
The insulation consisted of a composite layer of 10 mm thick cork board and 95 mm
thick rock wool. An AC power supply was used to supply electrical current to an
electric resistance heating element for heat generation. It is connected to an AC
voltmeter and ammeter to measure the heating power supplied. Seventeen
thermocouples (Tf1-Tf17) were inserted in 3mm diameter holes drilled through the
base of heat sink to measure the temperature at the base of the heat sink. The mean
temperature at the base of heat sink (Tfm) was calculated from an arithmetic mean of
these 17 temperatures. The maximum temperature at the base of heat sink (Tfmax) was
expected to be located at the centre of the base of the heat sink as well as the heating
element.
Five thermocouples (Tal1 – Tal5) were inserted into grooves at the top surface
of the aluminium block to measure the temperature distribution between the top of
the aluminium block and the bottom surface of the heat sink. Another 5
thermocouples (Ts1 – Ts5) were inserted into deep grooves area at the bottom of the
block to measure the interface temperature of the heating element and the aluminium
block. An additional of two thermocouples (Tins1, Tins2) was placed at the surface of
the insulation layer to measure the insulation temperature. Finally, one thermocouple
was employed to measure the ambient temperature (Ta). All thermocouples were
connected to a data logger and logged every minute. Experiments were performed at
power inputs of 10W to 20 W under natural convection air cooling.
26
4.2.2 Phase 2 (Vapor chamber, heat sink with heating element)
A G-clamp was used to press heat sink, vapor chamber, aluminium block and heating
element together with total of 4 runs which from run #2 to 5. Thermal insulation was
placed around the aluminium block and the heating element to minimize heat loss to
ambient air. The insulation consisted of a composite layer of 10 mm thick cork board
and 95 mm thick rock wool. An AC power supply was used to supply electrical
current to an electric resistance heating element for heat generation. An AC
voltmeter and ammeter was connected to measure the heating power supplied. A
total of seventeen of thermocouples (Tf1-Tf17) were inserted through holes drilled into
the heat sink to measure the temperature distribution between the bottom of the heat
sink and the upper surface of the vapor chamber. Five thermocouples (Tal1 – Tal5)
were inserted into deep grooves area at the top surface of the aluminium block to
measure the temperature at the bottom surface of the vapor chamber. Another five
thermocouples (Ts1 – Ts5) were inserted into deep grooves area at the bottom of the
aluminium block to measure the temperature of the heating element and the
aluminium block.
Two thermocouples were used to measure the insulation surface temperature
(Tins1, Tins2) and one of the thermocouple was used to measure the ambient
temperature (Ta). Another fourteen thermocouples (Tvc1 - Tvc14) were used to measure
the bottom surface temperature of the vapour chamber through the insulation. The
experiments were performed at power inputs from 10W to 40 W under natural
convection and force convection air cooling. Each run was conducted over a period
of 4 hours. The experiments were repeated twice to determine experimental
repeatability and the results were repeatable within 2oC overall.
4.2.3 Phase 3 (Vapor chamber, heat sink with small heating element)
A G-clamp was used to press heat sink, vapor chamber, aluminium block and small
heating element together with total of 4 runs which from run #6 to 9. Thermal
insulation was placed around the aluminium block and the heating element to
minimize heat loss to ambient air. The insulation consisted of a composite layer of 10
mm thick cork board and 95 mm thick rock wool. AC power supply was used as
means of supplying electrical current to an electric resistance heating element for
heat generation. An AC voltmeter and ammeter were connected to measure the
27
heating power that was supplied. The seventeen of thermocouples (Tf1-Tf17) was
inserted through holes drilled into the heat sink to measure the temperature
distribution between the bottom of the heat sink and the upper surface of the vapour
chamber. Then five thermocouples (Tal1 – Tal5) were inserted into deep grooves area
on the top surface of the aluminium block to measure the temperature at the bottom
surface of the vapour chamber. Another three thermocouples (Ts1 – Ts3) were
inserted into deep grooves area at the bottom of the aluminium block to measure the
temperature of the heating element and the aluminium block.
Two thermocouples were there to measure the insulation surface temperature
(Tins1, Tins2) and one of the thermocouple was measuring the ambient temperature
(Ta). Another fourteen thermocouples (Tvc1 - Tvc14) were used to measure the bottom
surface temperature of the vapour chamber through the insulation. The experiments
were performed at power inputs from 10W to 40 W under natural convection and
force convection air cooling. Each run was conducted over a period of 4 hours. The
experiments were repeated twice to determine experimental repeatability and the
results were repeatable to within 2oC overall.
4.3 Experimental result
The experimental results are plotted in Figures 28 - 50. For phase 1 result are shown
in Figure 28 and represent as run #1. For phase 2 results are shown in Figure 30 and
36 represent as run #2 and 4. For phase 3 results are shown in Figure 42 and 48 that
in run #6 and run #8. Furthermore, Figure 33, 39, 45 and 51 were shows the
repeatability experimental result for run #3, #5, #7 and #9. Figure 29, 31, 34, 37, 40,
43, 46, 49 and 52 were the comparison of temperature distribution of top surface of
vapor chamber under natural and force convection between 10W to 40W. Figure 32,
35, 38, 41, 44, 47, 50 and 53 were the comparison of temperature distribution of
bottom surface of vapor chamber under natural and force convection between 10W
to 40W. Figure 54 to 71 is the comparison of temperature distribution between the
phase 1, phase 2 and phase 3.
28
Figure 19. Overview of experimental setup
Heat sink
Data logger
Multimeter
Thermocouples
AC power supply
32
Figure 24. Location of thermocouples on aluminium block
Figure 25. Location of thermocouples on aluminium block with small heating
element
Figure 26. Vapor chamber
34
Figure 28. Fin heat sink under natural convection (Run #1) - transient temperature
Ts
Tfmax
Tal
Tfm
Tinsm
Ta 15W 10W 20W
35
38.9 38.9 38.9 38.9 38.9 38.9 38.9 38.9 38.9
46.5 46.5 46.6 46.6 46.6 46.6 46.6 46.5 46.5
39.2 39.2 39.0 39.0 39.0 39.0 39.1 39.1 38.9
46.8 46.8 46.7 46.7 46.8 46.8 46.8 46.8 46.6
39.4 39.5 39.1 39.1 39.1 39.2 39.2 39.4 38.9
47.1 47.0 46.9 46.9 46.9 47.0 47.0 47.1 46.6
39.7 39.8 39.7 40.3 40.8 40.4 40.0 39.6 38.9
47.3 47.4 47.6 48.5 49.4 48.6 47.9 47.4 46.7
39.9 40.1 40.3 41.4 42.5 41.6 40.7 39.8 38.9
47.6 47.6 48.2 50.0 51.8 50.3 48.8 47.8 46.7
39.9 40.0 40.2 40.7 41.3 40.9 40.5 39.8 39.1
47.5 47.7 48.0 48.9 49.8 49.1 48.4 47.7 46.9
39.8 39.9 40.0 40.0 40.0 40.1 40.2 39.8 39.3
47.5 47.6 47.7 47.8 47.8 47.9 48.0 47.6 47.1
39.8 39.8 39.9 39.8 39.9 39.9 40.0 39.7 39.5
47.4 47.5 47.6 47.6 47.7 47.7 47.7 47.5 47.2
39.7 39.7 39.8 39.8 39.8 39.8 39.8 39.7 39.7
47.3 47.4 47.4 47.5 47.5 47.5 47.5 47.4 47.4
42.5 40.7 39.8 38.9
51.8 49.2 47.8 46.5
51.1 51.2 51.2 51.3 51.3 51.3 51.3 51.2 51.2 51.4 51.4 51.5 51.5 51.5 51.5 51.5 51.6 51.3 51.7 51.7 51.7 51.7 51.7 51.7 51.7 51.9 51.3 51.9 52.2 52.4 53.6 54.7 53.7 52.8 52.3 51.4 52.2 52.7 53.1 55.4 57.7 55.8 53.8 52.6 51.4 52.4 52.6 52.8 54.6 55.2 54.9 53.3 52.5 51.6 52.1 52.3 52.5 53.8 52.6 54.0 52.8 52.3 51.7 52.0 52.1 52.3 52.9 52.4 53.1 52.5 52.2 51.9 51.9 52.0 52.1 52.1 52.2 52.2 52.1 52.1 52.0
57.7 54.5 52.8 51.2
Figure 29. Fin heat sink under natural convection between 10W to 20W (Run 1) - temperature distribution on base of heat sink
10W 15W
20W
36
Figure 30. Fin heat sink and vapor chamber under natural convection (Run #2) - transient temperature
40W 20W 15W 10W
180 540 360
37
Figure 31. Top surface of vapor chamber under natural convection between 10W to 40W (Run #2) - temperature distribution
40.4 40.3 40.2 40.1 40.0 39.9 39.9 39.8 39.7
47.5 47.4 47.3 47.1 47.0 46.9 46.8 46.6 46.5
40.5 40.5 40.4 40.3 40.1 40.2 40.2 40.0 39.9
47.6 47.5 47.5 47.3 47.1 47.2 47.3 46.9 46.7
40.6 40.6 40.6 40.4 40.2 40.4 40.6 40.3 40.0
47.6 47.7 47.7 47.5 47.2 47.5 47.8 47.3 46.9
40.7 40.8 40.8 40.8 40.8 40.9 41.0 40.5 40.2
47.7 47.8 47.9 47.8 47.8 48.0 48.2 47.6 47.1
40.8 40.9 41.0 41.2 41.3 41.3 41.3 40.8 40.3
47.7 47.9 48.0 48.2 48.4 48.5 48.5 47.9 47.3
40.8 40.9 41.1 41.2 41.3 41.3 41.3 40.8 40.4
47.8 48.0 48.2 48.3 48.4 48.5 48.6 47.9 47.4
40.9 40.9 41.2 41.2 41.2 41.3 41.3 40.8 40.6
47.9 48.1 48.3 48.4 48.4 48.5 48.6 47.9 47.6
40.9 40.9 41.1 40.9 41.1 41.1 41.1 40.8 40.7
47.9 48.0 48.2 48.2 48.2 48.2 48.3 47.9 47.7
40.9 40.9 40.9 40.9 40.9 40.9 40.9 40.8 40.8
48.0 48.0 48.0 48.0 48.0 48.0 47.9 47.9 47.8
41.3 40.5 40.1 39.7
48.6 47.6 47.0 46.5
53.8 53.7 53.5 53.4 53.2 53.1 52.9 52.8 52.6
75.5 75.2 75.0 74.7 74.4 74.0 73.7 73.3 72.9
53.8 53.8 53.9 53.6 53.4 53.5 53.6 53.1 52.9
75.3 75.4 75.6 75.1 74.6 74.8 75.0 74.2 73.4
53.9 54.0 54.2 53.9 53.5 53.9 54.3 53.5 53.1
75.1 75.6 76.2 75.5 74.7 75.5 76.3 75.1 74.0
53.9 54.1 54.3 54.2 54.2 54.4 54.6 53.9 53.4
74.8 75.3 75.9 75.7 75.5 76.0 76.5 75.5 74.5
53.9 54.1 54.3 54.6 54.8 54.9 54.9 54.3 53.6
74.6 75.1 75.5 75.9 76.3 76.5 76.6 75.8 75.0
54.0 54.3 54.5 54.5 54.8 54.7 55.0 54.2 53.7
74.9 75.2 76.0 76.2 76.4 76.2 76.7 75.6 74.9
54.1 54.4 54.7 54.4 54.7 54.5 55.0 54.1 53.8
75.2 75.4 76.4 76.5 76.5 76.0 76.8 75.4 74.9
54.2 54.4 54.5 54.4 54.5 54.4 54.6 54.1 53.8
75.5 75.6 76.1 76.1 76.1 75.7 76.0 75.2 74.9
54.3 54.3 54.3 54.3 54.3 54.2 54.1 54.0 53.9
75.8 75.8 75.8 75.7 75.7 75.5 75.3 75.0 74.8
`
55 53.8 53.2 52.6
76.8 74.9 73.9 72.9
10W 15W
20W 40W
38
40.6 41.2 41.8 41.9 42.0 42.1 42.1 42.1 42.0
48.0 48.8 49.6 49.7 49.8 49.9 49.8 49.8 49.6
40.7 41.2 41.8 42.1 42.4 43.0 43.6 42.8 42.0
48.1 48.8 49.6 50.0 50.4 51.3 52.2 50.5 49.7
40.8 41.2 41.7 42.3 42.9 43.4 42.0
48.2 48.9 49.6 50.3 51.1 51.3 49.7
40.8 41.2 41.7 42.5 43.3 43.7 41.9
48.3 48.9 49.5 50.7 51.8 52.1 49.8
40.9 41.3 41.6 42.7 43.8 44.0 41.9
48.4 49.0 49.5 51.0 52.5 52.9 49.8
40.9 41.2 41.6 42.4 43.3 43.6 41.9
48.4 48.9 49.4 50.6 51.8 52.2 49.9
40.9 41.2 41.6 42.2 42.8 43.3 41.9
48.4 48.9 49.4 50.2 51.0 51.4 49.9
40.8 41.2 41.5 41.9 42.3 42.8 43.3 42.6 41.8
48.3 48.8 49.3 49.8 50.3 51.0 51.8 50.7 50.0
40.8 41.2 41.5 41.6 41.8 42.0 42.0 41.9 41.8
48.3 48.8 49.2 49.4 49.6 49.9 49.9 50.0 50.0
44 42.3 41.5 40.6
52.9 50.5 49.2 48
54.5 55.5 56.5 56.7 56.8 56.9 56.8 56.7 56.5
76.9 78.7 80.5 80.7 80.9 81.3 81.2 81.0 80.7
54.7 55.5 56.4 57.1 57.7 58.8 59.9 58.2 56.6
77.3 79.0 80.7 81.7 82.8 85.2 87.6 84.2 80.8
54.9 55.6 56.3 57.4 58.5 58.8 56.6
77.7 79.3 80.9 82.8 84.7 85.3 81.0
55.0 55.6 56.2 57.8 59.4 59.5 56.7
78.1 79.6 81.0 83.8 86.5 87.4 81.1
55.2 55.7 56.1 58.2 60.2 60.7 56.8
78.5 79.9 81.2 84.8 88.4 89.5 81.3
55.2 55.6 56.1 57.7 59.3 59.4 56.8
78.4 79.7 81.0 83.7 86.5 87.6 81.4
55.1 55.6 56.1 57.2 58.4 58.8 56.9
78.3 79.5 80.7 82.7 84.7 85.6 81.5
55.1 55.6 56.1 57.2 57.5 58.4 59.3 58.1 56.9
78.1 79.3 80.5 81.6 82.8 85.0 87.1 83.7 81.7
55.0 55.6 56.1 56.3 56.6 57.0 57.0 57.0 57.0
78.0 79.1 80.2 80.6 81.0 81.7 81.7 81.8 81.8
60.7 57.6 56.1 54.5
89.5 83.2 80.1 76.9
Figure 32. Bottom surface of vapor chamber under natural convection between 10W to 40W (Run #2) - temperature distribution
10W 15W
20W 40W
39
Figure 33. Fin heat sink and vapor chamber under natural convection (Run #3) - transient temperature
Ts
Tal
Tfmax
Tfm
Tinsm
Ta
Tvcmax
Tvcm
180 540 360
40W 20W 15W 10W
40
Figure 34. Top surface of vapor chamber under natural convection between 10W to 40W (Run #3) - temperature distribution
38.4 38.3 38.2 38.1 38.0 37.9 37.9 37.8 37.7
45.5 45.4 45.3 45.1 45.0 44.9 44.8 44.6 44.5
38.5 38.5 38.4 38.3 38.1 38.2 38.2 38.0 37.9
45.6 45.5 45.5 45.3 45.1 45.2 45.3 44.9 44.7
38.6 38.6 38.6 38.4 38.2 38.4 38.6 38.3 38.0
45.6 45.7 45.7 45.5 45.2 45.5 45.8 45.3 44.9
38.7 38.8 38.8 38.8 38.8 38.9 39.0 38.5 38.2
45.7 45.8 45.9 45.8 45.8 46.0 46.2 45.6 45.1
38.8 38.9 39.0 39.2 39.3 39.3 39.3 38.8 38.3
45.7 46.0 46.0 46.2 46.4 46.5 46.5 45.9 45.3
38.8 38.9 39.1 39.2 39.3 39.3 39.3 38.8 38.4
45.8 46.0 46.2 46.3 46.4 46.5 46.6 45.9 45.4
38.9 38.9 39.2 39.2 39.2 39.3 39.3 38.8 38.6
45.9 46.1 46.3 46.4 46.4 46.5 46.6 45.9 45.6
38.9 38.9 39.1 38.9 39.1 39.1 39.1 38.8 38.7
45.9 46.0 46.2 46.2 46.2 46.2 46.3 45.9 45.7
38.9 38.9 38.9 38.9 38.9 38.9 38.9 38.8 38.8
46.0 46.0 46.0 46.0 46.0 46.0 45.9 45.9 45.8
39.3 38.5 38.1 37.7
46.6 45.6 45.0 44.5
51.8 51.7 51.5 51.4 51.2 51.1 50.9 50.8 50.6
73.5 73.2 73.0 72.7 72.4 72.0 71.7 71.3 70.9
51.8 51.8 51.9 51.6 51.4 51.5 51.6 51.1 50.9
73.3 73.4 73.6 73.1 72.6 72.8 73.0 72.2 71.4
51.9 52.0 52.2 51.9 51.5 51.9 52.3 51.5 51.1
73.1 73.6 74.2 73.5 72.7 73.5 74.3 73.1 72.0
51.9 52.1 52.3 52.2 52.2 52.4 52.6 51.9 51.4
72.8 73.3 73.9 73.7 73.5 74.0 74.5 73.5 72.5
51.9 52.1 52.3 52.6 52.8 52.9 52.9 52.3 51.6
72.6 73.1 73.5 73.9 74.3 74.5 74.6 73.8 73.0
52.0 52.3 52.5 52.5 52.8 52.7 53.0 52.2 51.7
72.9 73.2 74.0 74.2 74.4 74.2 74.7 73.6 72.9
52.1 52.4 52.7 52.4 52.7 52.5 53.0 52.1 51.8
73.2 73.4 74.4 74.5 74.5 74.0 74.8 73.4 72.9
52.2 52.4 52.5 52.4 52.5 52.4 52.6 52.1 51.8
73.5 73.6 74.1 74.1 74.1 73.7 74.0 73.2 72.9
52.3 52.3 52.3 52.3 52.3 52.2 52.1 52.0 51.9
73.8 73.8 73.8 73.7 73.7 73.5 73.3 73.0 72.8
53 51.8 51.2 50.6
74.8 72.9 71.9 70.9
10W 15W
20W 40W
41
38.6 39.2 39.8 39.9 40.0 40.1 40.1 40.1 40.0
46.0 46.8 47.6 47.7 47.8 47.9 47.8 47.8 47.6
38.7 39.2 39.8 40.1 40.4 41.0 41.6 40.8 40.0
46.1 46.8 47.6 48.0 48.4 49.3 50.2 48.5 47.7
38.8 39.2 39.7 40.3 40.9 41.4 40.0
46.2 46.9 47.6 48.3 49.1 49.3 47.7
38.8 39.2 39.7 40.5 41.3 41.7 39.9
46.3 46.9 47.5 48.7 49.8 50.1 47.8
38.9 39.3 39.6 40.7 41.8 42.0 39.9
46.4 47.0 47.5 49.0 50.5 50.9 47.8
38.9 39.2 39.6 40.4 41.3 41.6 39.9
46.4 46.9 47.4 48.6 49.8 50.2 47.9
38.9 39.2 39.6 40.2 40.8 41.3 39.9
46.4 46.9 47.4 48.2 49.0 49.4 47.9
38.8 39.2 39.5 39.9 40.3 40.8 41.3 40.6 39.8
46.3 46.8 47.3 47.8 48.3 49.0 49.8 48.7 48.0
38.8 39.2 39.5 39.6 39.8 40.0 40.0 39.9 39.8
46.3 46.8 47.2 47.4 47.6 47.9 47.9 48.0 48.0
42 40.3 39.5 38.6
50.9 48.5 47.2 46
52.5 53.5 54.5 54.7 54.8 54.9 54.8 54.7 54.5
74.9 76.7 78.5 78.7 78.9 79.3 79.2 79.0 78.7
52.7 53.5 54.4 55.1 55.7 56.8 57.9 56.2 54.6
75.3 77.0 78.7 79.7 80.8 83.2 85.6 82.2 78.8
52.9 53.6 54.3 55.4 56.5 56.8 54.6
75.7 77.3 78.9 80.8 82.7 83.3 79.0
53.0 53.6 54.2 55.8 57.4 57.5 54.7
76.1 77.6 79.0 81.8 84.5 85.4 79.1
53.2 53.7 54.1 56.2 58.2 58.7 54.8
76.5 77.9 79.2 82.8 86.4 87.5 79.3
53.2 53.6 54.1 55.7 57.3 57.4 54.8
76.4 77.7 79.0 81.7 84.5 85.6 79.4
53.1 53.6 54.1 55.2 56.4 56.8 54.9
76.3 77.5 78.7 80.7 82.7 83.6 79.5
53.1 53.6 54.1 55.2 55.5 56.4 57.3 56.1 54.9
76.1 77.3 78.5 79.6 80.8 83.0 85.1 81.7 79.7
53.0 53.6 54.1 54.3 54.6 55.0 55.0 55.0 55.0
76.0 77.1 78.2 78.6 79.0 79.7 79.7 79.8 79.8
58.7 55.6 54.1 52.5
87.5 81.2 78.1 74.9
Figure 35. Bottom surface of vapor chamber under natural convection between 10W to 40W (Run #3) - temperature distribution
10W 15W
20W 40W
42
Figure 36. Fin heat sink and vapor chamber under forced convection (Run #4) - transient temperature
Ts
Tal
Tvcm
Tfmax
Tinsm
Ta
Tfm
Tvcmax
180 360 540
10W 15W 20W 40W
43
26.6 26.5 26.5 26.4 26.3 26.2 26.1 25.9 25.8
27.3 27.2 27.1 27.0 26.9 26.7 26.6 26.4 26.2
26.7 26.6 26.5 26.4 26.3 26.3 26.4 26.2 26.0
27.3 27.3 27.3 27.1 26.9 27.0 27.1 26.7 26.4
26.8 26.7 26.6 26.4 26.2 26.5 26.7 26.4 26.1
27.4 27.4 27.4 27.1 26.8 27.2 27.6 27.0 26.7
26.8 26.8 26.8 26.7 26.7 26.9 27.1 26.7 26.3
27.4 27.4 27.5 27.4 27.3 27.5 27.8 27.3 26.9
26.9 27.0 27.0 27.1 27.1 27.3 27.4 26.9 26.4
27.4 27.4 27.5 27.6 27.7 27.9 28.0 27.6 27.1
26.9 27.0 27.1 27.1 27.2 27.3 27.4 26.9 26.5
27.5 27.6 27.7 27.7 27.8 28.0 28.1 27.5 27.2
27.0 27.0 27.1 27.2 27.2 27.3 27.4 26.9 26.6
27.5 27.7 27.8 27.9 27.9 28.1 28.2 27.5 27.2
27.0 27.0 27.1 27.0 27.1 27.1 27.2 26.9 26.7
27.6 27.6 27.7 27.7 27.8 27.8 27.8 27.4 27.3
27.0 27.0 27.0 27.0 27.0 27.0 26.9 26.9 26.8
27.6 27.6 27.6 27.6 27.6 27.5 27.5 27.4 27.3
27.4 26.6 26.2 25.8
28.2 27.2 26.7 26.2
29.5 29.4 29.2 29.1 28.9 28.7 28.5 28.2 28.0
36.9 36.6 36.3 35.9 35.6 35.2 34.8 34.4 34.0
29.4 29.4 29.4 29.1 28.9 29.0 29.1 28.6 28.3
36.6 36.6 36.6 36.1 35.6 35.9 36.1 35.3 34.6
29.4 29.4 29.5 29.2 28.8 29.3 29.7 28.9 28.6
36.4 36.7 37.0 36.3 35.6 36.5 37.4 36.3 35.2
29.3 29.4 29.5 29.4 29.3 29.6 29.9 29.2 28.8
36.1 36.3 36.6 36.4 36.2 36.8 37.5 36.6 35.7
29.2 29.3 29.4 29.6 29.7 29.9 30.0 29.6 29.1
35.8 36.0 36.2 36.5 36.8 37.2 37.5 36.9 36.3
29.3 29.4 29.6 29.5 29.8 29.7 30.1 29.5 29.1
36.1 36.2 36.7 36.9 37.1 37.0 37.7 36.7 36.1
29.4 29.6 29.8 29.5 29.9 29.6 30.2 29.4 29.1
36.3 36.4 37.2 37.3 37.4 36.8 37.8 36.5 36.1
29.5 29.6 29.7 29.5 29.7 29.5 29.8 29.3 29.1
36.6 36.6 37.0 37.0 37.1 36.7 37.1 36.3 36.0
29.6 29.6 29.6 29.5 29.5 29.4 29.3 29.2 29.1
36.8 36.8 36.8 36.7 36.7 36.5 36.3 36.1 35.9
30.2 29.1 28.6 28
37.8 35.9 35.0 34
Figure 37. Top surface of vapor chamber under force convection between 10W to 40W (Run #4) - temperature distribution
10W 15W
20W 40W
44
28.2 28.6 28.9 28.9 29.0 29.0 29.1 29.1 29.2
29.7 30.2 30.6 30.7 30.7 30.8 30.8 30.8 30.8
28.2 28.5 28.9 29.1 29.4 30.0 30.7 29.9 29.2
29.6 30.1 30.6 30.9 31.3 32.3 33.2 31.5 30.8
28.1 28.5 28.8 29.3 29.8 30.4 29.2
29.6 30.0 30.5 31.2 31.9 32.2 30.9
28.1 28.4 28.8 29.5 30.3 30.7 29.1
29.5 30.0 30.5 31.5 32.5 32.9 30.9
28.0 28.4 28.7 29.7 30.7 30.9 29.1
29.4 29.9 30.4 31.8 33.1 33.6 31.0
28.0 28.3 28.6 29.4 30.2 30.6 29.1
29.4 29.8 30.3 31.3 32.4 32.9 31.0
27.9 28.2 28.5 29.1 29.7 30.3 29.1
29.4 29.8 30.2 30.9 31.7 32.2 31.0
27.9 28.1 28.4 28.8 29.1 29.8 30.5 29.8 29.0
29.3 29.7 30.0 30.5 31.0 31.8 32.7 31.5 31.1
27.8 28.1 28.3 28.5 28.6 28.9 28.9 29.0 29.0
29.3 29.6 29.9 30.1 30.3 30.6 30.7 30.9 31.1
30.9 29.4 28.6 27.8
33.6 31.5 30.4 29.3
32.3 32.9 33.4 33.6 33.6 33.7 33.7 33.8 33.8
42.5 43.4 44.2 44.4 44.5 44.8 44.9 45.0 45.1
32.2 32.7 33.2 33.8 34.4 35.7 37.0 35.4 33.8
42.4 43.3 44.2 45.2 46.2 48.8 51.3 48.2 45.2
32.2 32.6 33.0 34.1 35.2 35.9 33.9
42.4 43.3 44.2 46.1 48.0 48.8 45.3
32.1 32.4 32.7 34.4 36.0 36.4 33.9
42.3 43.2 44.1 46.9 49.7 50.7 45.3
32.0 32.3 32.5 34.7 36.8 37.4 34.0
42.2 43.2 44.1 47.8 51.4 52.6 45.4
32.0 32.2 32.5 34.2 35.8 36.3 34.0
42.1 43.0 43.8 46.7 49.5 50.8 45.5
32.0 32.2 32.5 33.7 34.9 35.7 34.0
42.0 42.8 43.6 45.6 47.7 48.9 45.6
31.9 32.2 32.5 33.7 33.9 35.1 36.3 35.2 34.1
41.8 42.6 43.3 44.5 45.8 48.1 50.4 47.1 45.6
31.9 32.2 32.5 32.7 33.0 33.4 33.6 33.8 34.1
41.7 42.4 43.0 43.5 43.9 44.8 45.0 45.3 45.7
37.4 34.7 33.3 31.9
52.6 47.2 44.4 41.7
Figure 38. Bottom surface of vapor chamber under force convection between 10W to 40W (Run #4) - temperature distribution
10W 15W
20W 40W
45
Figure 39. Fin heat sink and vapor chamber under forced convection (Run 5) - transient temperature
Ts
Tvcmax
Tvcm
Tfmax
Tinsm
Ta
Tfm
Tal
180 360 540
10W 15W 20W 40W
46
25.4 25.3 25.3 25.2 25.1 25.0 24.9 24.7 24.6
26.1 26.0 25.9 25.8 25.7 25.5 25.4 25.2 25.0
25.5 25.4 25.3 25.2 25.1 25.1 25.2 25.0 24.8
26.1 26.1 26.1 25.9 25.7 25.8 25.9 25.5 25.2
25.6 25.5 25.4 25.2 25.0 25.3 25.5 25.2 24.9
26.2 26.2 26.2 25.9 25.6 26.0 26.4 25.8 25.5
25.6 25.6 25.6 25.5 25.5 25.7 25.9 25.5 25.1
26.2 26.2 26.3 26.2 26.1 26.3 26.6 26.1 25.7
25.7 25.8 25.8 25.9 25.9 26.1 26.2 25.7 25.2
26.2 26.4 26.3 26.4 26.5 26.7 26.8 26.4 25.9
25.7 25.8 25.9 25.9 26.0 26.1 26.2 25.7 25.3
26.3 26.4 26.5 26.5 26.6 26.8 26.9 26.3 26.0
25.8 25.8 25.9 26.0 26.0 26.1 26.2 25.7 25.4
26.3 26.5 26.6 26.7 26.7 26.9 27.0 26.3 26.0
25.8 25.8 25.9 25.8 25.9 25.9 26.0 25.7 25.5
26.4 26.4 26.5 26.5 26.6 26.6 26.6 26.2 26.1
25.8 25.8 25.8 25.8 25.8 25.8 25.7 25.7 25.6
26.4 26.4 26.4 26.4 26.4 26.3 26.3 26.2 26.1
26.2 25.4 25 24.6
27 26.0 25.5 25
28.3 28.2 28.0 27.9 27.7 27.5 27.3 27.0 26.8
35.7 35.4 35.1 34.7 34.4 34.0 33.6 33.2 32.8
28.2 28.2 28.2 27.9 27.7 27.8 27.9 27.4 27.1
35.4 35.4 35.4 34.9 34.4 34.7 34.9 34.1 33.4
28.2 28.2 28.3 28.0 27.6 28.1 28.5 27.7 27.4
35.2 35.5 35.8 35.1 34.4 35.3 36.2 35.1 34.0
28.1 28.2 28.3 28.2 28.1 28.4 28.7 28.0 27.6
34.9 35.1 35.4 35.2 35.0 35.6 36.3 35.4 34.5
28.0 28.1 28.2 28.4 28.5 28.7 28.8 28.4 27.9
34.6 34.8 35.0 35.3 35.6 36.0 36.3 35.7 35.1
28.1 28.2 28.4 28.3 28.6 28.5 28.9 28.3 27.9
34.9 35.0 35.5 35.7 35.9 35.8 36.5 35.5 34.9
28.2 28.4 28.6 28.3 28.7 28.4 29.0 28.2 27.9
35.1 35.2 36.0 36.1 36.2 35.6 36.6 35.3 34.9
28.3 28.4 28.5 28.3 28.5 28.3 28.6 28.1 27.9
35.4 35.4 35.8 35.8 35.9 35.5 35.9 35.1 34.8
28.4 28.4 28.4 28.3 28.3 28.2 28.1 28.0 27.9
35.6 35.6 35.6 35.5 35.5 35.3 35.1 34.9 34.7
29 27.9 27.4 26.8
36.6 34.7 33.8 32.8
Figure 40. Top surface of vapor chamber under force convection between 10W to 40W (Run #5) - temperature distribution
10W 15W
20W 40W
47
27.0 27.4 27.7 27.7 27.8 27.8 27.9 27.9 28.0
28.5 29.0 29.4 29.5 29.5 29.6 29.6 29.6 29.6
27.0 27.3 27.7 27.9 28.2 28.8 29.5 28.7 28.0
28.4 28.9 29.4 29.7 30.1 31.1 32.0 30.3 29.6
26.9 27.3 27.6 28.1 28.6 29.2 28.0
28.4 28.8 29.3 30.0 30.7 31.0 29.7
26.9 27.2 27.6 28.3 29.1 29.5 27.9
28.3 28.8 29.3 30.3 31.3 31.7 29.7
26.8 27.2 27.5 28.5 29.5 29.7 27.9
28.2 28.7 29.2 30.6 31.9 32.4 29.8
26.8 27.1 27.4 28.2 29.0 29.4 27.9
28.2 28.6 29.1 30.1 31.2 31.7 29.8
26.7 27.0 27.3 27.9 28.5 29.1 27.9
28.2 28.6 29.0 29.7 30.5 31.0 29.8
26.7 26.9 27.2 27.6 27.9 28.6 29.3 28.6 27.8
28.1 28.5 28.8 29.3 29.8 30.6 31.5 30.3 29.9
26.6 26.9 27.1 27.3 27.4 27.7 27.7 27.8 27.8
28.1 28.4 28.7 28.9 29.1 29.4 29.5 29.7 29.9
29.7 28.2 27.4 26.6
32.4 30.3 29.2 28.1
31.1 31.7 32.2 32.4 32.4 32.5 32.5 32.6 32.6
41.3 42.2 43.0 43.2 43.3 43.6 43.7 43.8 43.9
31.0 31.5 32.0 32.6 33.2 34.5 35.8 34.2 32.6
41.2 42.1 43.0 44.0 45.0 47.6 50.1 47.0 44.0
31.0 31.4 31.8 32.9 34.0 34.7 32.7
41.2 42.1 43.0 44.9 46.8 47.6 44.1
30.9 31.2 31.5 33.2 34.8 35.2 32.7
41.1 42.0 42.9 45.7 48.5 49.5 44.1
30.8 31.1 31.3 33.5 35.6 36.2 32.8
41.0 42.0 42.9 46.6 50.2 51.4 44.2
30.8 31.0 31.3 33.0 34.6 35.1 32.8
40.9 41.8 42.6 45.5 48.3 49.6 44.3
30.8 31.0 31.3 32.5 33.7 34.5 32.8
40.8 41.6 42.4 44.4 46.5 47.7 44.4
30.7 31.0 31.3 32.5 32.7 33.9 35.1 34.0 32.9
40.6 41.4 42.1 43.3 44.6 46.9 49.2 45.9 44.4
30.7 31.0 31.3 31.5 31.8 32.2 32.4 32.6 32.9
40.5 41.2 41.8 42.3 42.7 43.6 43.8 44.1 44.5
36.2 33.5 32.1 30.7
51.4 46.0 43.2 40.5
Figure 41. Bottom surface of vapor chamber under force convection between 10W to 40W (Run #5) - temperature distribution
10W 15W
20W 40W
48
Figure 42. Fin heat sink and vapor chamber with small heating element under natural convection (Run #6) - transient
temperature
Ts
Tal
Tvcmax
Tfmax
Tf
m
Tinsm
Ta
Tvcm
10W 15W 20W 40W
180 360 540
49
39.0 39.0 39.0 38.9 38.9 38.7 38.5 38.3 38.1
47.1 47.0 47.0 46.9 46.8 46.5 46.2 45.8 45.5
39.2 39.2 38.9 38.9 38.9 38.7 38.6 38.5 38.2
47.3 47.1 46.9 46.8 46.8 46.5 46.3 46.0 45.7
39.5 39.4 38.9 38.9 38.8 38.8 38.7 38.7 38.3
47.6 47.2 46.9 46.8 46.7 46.6 46.5 46.3 45.8
39.7 39.7 39.4 39.4 39.5 39.3 39.1 38.8 38.4
47.8 47.6 47.5 47.5 47.5 47.2 46.9 46.5 46.0
39.9 39.9 39.9 40.0 40.1 39.8 39.5 39.0 38.5
48.0 47.8 48.0 48.1 48.2 47.8 47.3 46.7 46.1
40.0 39.9 40.0 39.9 39.8 39.6 39.5 39.1 38.7
48.1 48.1 48.2 48.0 47.7 47.5 47.4 46.8 46.4
40.0 39.9 40.1 39.8 39.4 39.5 39.5 39.2 39.0
48.2 48.3 48.4 47.8 47.2 47.3 47.4 46.9 46.6
40.1 39.9 39.9 39.6 39.4 39.4 39.5 39.3 39.2
48.2 48.2 48.1 47.7 47.3 47.3 47.3 47.0 46.9
40.1 39.9 39.8 39.6 39.4 39.4 39.4 39.4 39.4
48.3 48.1 47.8 47.6 47.3 47.3 47.2 47.2 47.1
40.1 39.1 38.6 38.1
48.4 47.0 46.2 45.5
53.1 53.1 53.1 53.0 53.0 52.6 52.3 51.9 51.5
75.6 75.5 75.4 75.3 75.2 74.6 74.0 73.3 72.7
53.4 53.2 53.0 52.9 52.9 52.7 52.4 52.1 51.7
75.9 75.7 75.5 75.4 75.3 74.8 74.4 73.7 73.0
53.6 53.3 52.9 52.9 52.8 52.7 52.6 52.3 51.8
76.2 75.9 75.5 75.5 75.4 75.1 74.8 74.0 73.3
53.9 53.7 53.5 53.6 53.7 53.3 53.0 52.5 52.0
76.5 76.4 76.2 76.4 76.7 75.9 75.1 74.3 73.5
54.1 54.1 54.1 54.3 54.5 54.0 53.4 52.8 52.1
76.8 76.9 76.9 77.4 77.9 76.6 75.3 74.6 73.8
54.1 54.3 54.4 54.1 53.9 53.8 53.4 52.9 52.4
77.1 77.0 77.5 77.1 76.8 76.3 75.5 74.7 74.4
54.3 54.5 54.7 54.0 53.3 53.6 53.4 53.0 52.6
77.4 77.1 78.1 76.9 75.6 76.0 75.6 74.9 74.4
54.4 54.4 54.3 53.8 53.3 53.4 53.3 53.1 52.9
77.6 77.2 77.4 76.5 75.6 75.7 75.5 75.0 74.7
54.5 54.2 53.9 53.6 53.3 53.3 53.2 53.2 53.1
77.9 77.3 76.8 76.2 75.6 75.5 75.3 75.2 75.0
54.7 53.1 52.3 51.5
78.1 75.4 74.1 72.7
Figure 43. Top surface of vapor chamber under natural convection between 10W to 40W (Run #6) - temperature distribution
10W 15W
20W 40W
50
40.1 40.5 40.9 41.0 41.0 41.1 41.0 40.9 40.7
48.6 49.2 49.7 49.8 49.9 50.0 49.7 49.4 48.8
40.1 40.6 41.0 41.2 41.4 41.9 42.4 41.5 40.7
48.6 49.3 49.9 50.1 50.4 51.2 52.0 50.2 48.9
40.2 40.6 41.1 41.4 41.7 42.0 40.6
48.7 49.4 50.1 50.5 51.0 50.9 48.9
40.2 40.7 41.1 41.6 42.1 42.3 40.6
48.7 49.5 50.2 50.9 51.5 51.7 49.0
40.2 40.7 41.2 41.8 42.4 42.5 40.5
48.7 49.6 50.4 51.3 52.1 52.4 49.1
40.2 40.6 41.1 41.6 42.0 42.2 40.5
48.7 49.4 50.2 50.9 51.6 51.7 49.1
40.1 40.6 41.0 41.3 41.7 41.9 40.4
48.6 49.3 50.1 50.5 51.0 51.1 49.2
40.1 40.5 40.9 41.1 41.3 41.8 42.3 41.3 40.4
48.6 49.2 49.9 50.2 50.5 51.2 51.9 50.4 49.2
40.0 40.4 40.8 40.9 41.0 41.1 40.9 40.7 40.3
48.5 49.1 49.7 49.8 49.9 50.1 49.9 49.7 49.3
42.5 41.3 40.6 40
52.4 50.5 49.5 48.5
55.1 55.8 56.5 56.7 56.7 56.8 56.5 56.3 55.7
80.1 81.3 82.5 82.7 82.9 83.2 82.7 82.2 81.2
55.2 55.8 56.5 57.0 57.4 58.3 59.3 57.5 55.8
80.2 81.6 83.0 83.6 84.2 86.1 87.9 84.6 81.3
55.2 55.9 56.5 57.3 58.1 58.1 55.8
80.4 82.0 83.6 84.6 85.6 85.5 81.5
55.3 55.9 56.5 57.6 58.7 58.6 55.9
80.5 82.3 84.1 85.5 87.0 87.2 81.6
55.3 55.9 56.5 58.0 59.4 59.7 56.0
80.6 82.6 84.6 86.5 88.4 88.8 81.8
55.2 55.8 56.5 57.6 58.7 58.7 56.0
80.6 82.4 84.2 85.6 87.1 87.3 81.9
55.0 55.8 56.5 57.3 58.1 58.1 56.1
80.7 82.2 83.7 84.7 85.8 85.9 82.0
54.9 55.7 56.5 57.3 57.4 58.2 59.1 57.6 56.1
80.7 82.0 83.3 83.9 84.5 86.2 88.0 84.4 82.2
54.7 55.6 56.5 56.6 56.7 56.9 56.7 56.6 56.2
80.7 81.8 82.8 83.0 83.2 83.5 83.2 82.9 82.3
59.7 57.2 56.0 54.7
88.8 84.5 82.3 80.1
Figure 44. Bottom surface of vapor chamber under natural convection between 10W to 40W (Run #6) - temperature distribution
10W 15W
20W 40W
51
Figure 45. Fin heat sink and vapor chamber with small heating element under natural convection (Run #7) - transient
temperature
Ts
Tal
Tvcmax
Tfmax
Tfm
Tinsm
Ta
Tvcm
180 360 540
10W 15W 20W 40W
52
37.5 37.5 37.5 37.4 37.4 37.2 37.0 36.8 36.6
45.6 45.5 45.5 45.4 45.3 45.0 44.7 44.3 44.0
37.7 37.7 37.4 37.4 37.4 37.2 37.1 37.0 36.7
45.8 45.6 45.4 45.3 45.3 45.0 44.8 44.5 44.2
38.0 37.9 37.4 37.4 37.3 37.3 37.2 37.2 36.8
46.1 45.7 45.4 45.3 45.2 45.1 45.0 44.8 44.3
38.2 38.2 37.9 37.9 38.0 37.8 37.6 37.3 36.9
46.3 46.1 46.0 46.0 46.0 45.7 45.4 45.0 44.5
38.4 38.4 38.4 38.5 38.6 38.3 38.0 37.5 37.0
46.5 46.4 46.5 46.6 46.7 46.3 45.8 45.2 44.6
38.5 38.4 38.5 38.4 38.3 38.1 38.0 37.6 37.2
46.6 46.6 46.7 46.5 46.2 46.0 45.9 45.3 44.9
38.5 38.4 38.6 38.3 37.9 38.0 38.0 37.7 37.5
46.7 46.8 46.9 46.3 45.7 45.8 45.9 45.4 45.1
38.6 38.4 38.4 38.1 37.9 37.9 38.0 37.8 37.7
46.7 46.7 46.6 46.2 45.8 45.8 45.8 45.5 45.4
38.6 38.4 38.3 38.1 37.9 37.9 37.9 37.9 37.9
46.8 46.6 46.3 46.1 45.8 45.8 45.7 45.7 45.6
38.6 37.6 37.1 36.6
46.9 45.5 44.7 44
51.6 51.6 51.6 51.5 51.5 51.1 50.8 50.4 50.0
74.1 74.0 73.9 73.8 73.7 73.1 72.5 71.8 71.2
51.9 51.7 51.5 51.4 51.4 51.2 50.9 50.6 50.2
74.4 74.2 74.0 73.9 73.8 73.3 72.9 72.2 71.5
52.1 51.8 51.4 51.4 51.3 51.2 51.1 50.8 50.3
74.7 74.4 74.0 74.0 73.9 73.6 73.3 72.5 71.8
52.4 52.2 52.0 52.1 52.2 51.8 51.5 51.0 50.5
75.0 74.9 74.7 74.9 75.2 74.4 73.6 72.8 72.0
52.6 52.6 52.6 52.8 53.0 52.5 51.9 51.3 50.6
75.3 75.4 75.4 75.9 76.4 75.1 73.8 73.1 72.3
52.6 52.8 52.9 52.6 52.4 52.3 51.9 51.4 50.9
75.6 75.5 76.0 75.6 75.3 74.8 74.0 73.2 72.9
52.8 53.0 53.2 52.5 51.8 52.1 51.9 51.5 51.1
75.9 75.6 76.6 75.4 74.1 74.5 74.1 73.4 72.9
52.9 52.9 52.8 52.3 51.8 51.9 51.8 51.6 51.4
76.1 75.7 75.9 75.0 74.1 74.2 74.0 73.5 73.2
53.0 52.7 52.4 52.1 51.8 51.8 51.7 51.7 51.6
76.4 75.8 75.3 74.7 74.1 74.0 73.8 73.7 73.5
53.2 51.6 50.8 50
76.6 73.9 72.6 71.2
Figure 46. Top surface of vapor chamber under natural convection between 10W to 40W (Run #7) - temperature distribution
10W 15W
20W 40W
53
38.6 39.0 39.4 39.5 39.5 39.6 39.5 39.4 39.2
47.1 47.7 48.2 48.3 48.4 48.5 48.2 47.9 47.3
38.6 39.1 39.5 39.7 39.9 40.4 40.9 40.0 39.2
47.1 47.8 48.4 48.6 48.9 49.7 50.5 48.7 47.4
38.7 39.1 39.6 39.9 40.2 40.5 39.1
47.2 47.9 48.6 49.0 49.5 49.4 47.4
38.7 39.2 39.6 40.1 40.6 40.8 39.1
47.2 48.0 48.7 49.4 50.0 50.2 47.5
38.7 39.2 39.7 40.3 40.9 41.0 39.0
47.2 48.1 48.9 49.8 50.6 50.9 47.6
38.7 39.1 39.6 40.1 40.5 40.7 39.0
47.2 47.9 48.7 49.4 50.1 50.2 47.6
38.6 39.1 39.5 39.8 40.2 40.4 38.9
47.1 47.8 48.6 49.0 49.5 49.6 47.7
38.6 39.0 39.4 39.6 39.8 40.3 40.8 39.8 38.9
47.1 47.7 48.4 48.7 49.0 49.7 50.4 48.9 47.7
38.5 38.9 39.3 39.4 39.5 39.6 39.4 39.2 38.8
47.0 47.6 48.2 48.3 48.4 48.6 48.4 48.2 47.8
41 39.8 39.1 38.5
50.9 49.0 48.0 47
53.6 54.3 55.0 55.2 55.2 55.3 55.0 54.8 54.2
78.6 79.8 81.0 81.2 81.4 81.7 81.2 80.7 79.7
53.7 54.3 55.0 55.5 55.9 56.8 57.8 56.0 54.3
78.7 80.1 81.5 82.1 82.7 84.6 86.4 83.1 79.8
53.7 54.4 55.0 55.8 56.6 56.6 54.3
78.9 80.5 82.1 83.1 84.1 84.0 80.0
53.8 54.4 55.0 56.1 57.2 57.1 54.4
79.0 80.8 82.6 84.0 85.5 85.7 80.1
53.8 54.4 55.0 56.5 57.9 58.2 54.5
79.1 81.1 83.1 85.0 86.9 87.3 80.3
53.7 54.3 55.0 56.1 57.2 57.2 54.5
79.1 80.9 82.7 84.1 85.6 85.8 80.4
53.5 54.3 55.0 55.8 56.6 56.6 54.6
79.2 80.7 82.2 83.2 84.3 84.4 80.5
53.4 54.2 55.0 55.8 55.9 56.7 57.6 56.1 54.6
79.2 80.5 81.8 82.4 83.0 84.7 86.5 82.9 80.7
53.2 54.1 55.0 55.1 55.2 55.4 55.2 55.1 54.7
79.2 80.3 81.3 81.5 81.7 82.0 81.7 81.4 80.8
58.2 55.7 54.5 53.2
87.3 83.0 80.8 78.6
Figure 47. Bottom surface of vapor chamber under natural convection between 10W to 40W (Run #7) - temperature distribution
10W 15W
20W 40W
54
Figure 48. Fin heat sink and vapor chamber with small heating element under forced convection (Run #8) - transient
temperature
Ts
Tal
Tvcm
Tfmax
Tfm
Tinsm
Ta
Tvcmax
10W 15W 20W 40W
180 360 540
55
24.1 24.0 24.0 23.9 23.8 23.7 23.5 23.4 23.2
26.3 26.2 26.1 25.9 25.8 25.6 25.3 25.1 24.8
24.3 24.2 24.2 24.0 23.9 23.8 23.6 23.5 23.3
26.6 26.4 26.3 26.1 25.9 25.7 25.5 25.2 25.0
24.6 24.5 24.4 24.2 24.0 23.9 23.7 23.7 23.4
26.8 26.7 26.6 26.3 26.0 25.8 25.6 25.4 25.1
24.8 24.7 24.6 24.6 24.6 24.3 24.0 23.8 23.5
27.1 26.9 26.8 26.8 26.7 26.3 25.9 25.6 25.3
25.0 24.9 24.8 25.0 25.1 24.7 24.3 24.0 23.6
27.3 27.2 27.0 27.2 27.4 26.8 26.1 25.8 25.4
25.0 24.9 24.9 24.9 24.9 24.7 24.4 24.0 23.8
27.3 27.2 27.2 27.2 27.2 26.7 26.3 25.9 25.6
25.0 24.8 25.0 24.9 24.7 24.6 24.5 24.1 24.0
27.3 27.3 27.4 27.2 26.9 26.7 26.5 26.0 25.8
24.9 24.8 24.8 24.5 24.5 24.5 24.4 24.2 24.1
27.2 27.2 27.1 26.9 26.7 26.5 26.4 26.1 26.0
24.9 24.8 24.6 24.5 24.3 24.3 24.3 24.3 24.3
27.2 27.0 26.8 26.6 26.4 26.4 26.3 26.3 26.2
25 24.1 23.7 23.2
27.4 26.1 25.5 24.8
29.3 29.2 29.2 29.1 29.0 28.7 28.4 28.1 27.8
36.6 36.4 36.2 36.0 35.8 35.2 34.5 33.9 33.2
29.6 29.5 29.3 29.2 29.1 28.8 28.6 28.3 28.0
37.0 36.9 36.9 36.5 36.0 35.4 34.8 34.2 33.5
30.0 29.7 29.4 29.3 29.2 29.0 28.7 28.5 28.1
37.3 37.5 37.6 36.9 36.2 35.7 35.1 34.5 33.8
30.3 30.1 29.9 30.0 30.1 29.5 29.0 28.7 28.3
37.7 37.6 37.6 37.5 37.4 36.3 35.3 34.7 34.1
30.6 30.5 30.3 30.6 30.9 30.1 29.3 28.9 28.4
38.0 37.8 37.5 38.1 38.6 37.0 35.4 34.9 34.4
30.5 30.5 30.6 30.4 30.6 29.9 29.4 29.0 28.6
38.1 37.8 38.1 38.0 38.0 36.7 35.7 35.1 34.9
30.7 30.7 30.8 30.2 30.2 29.7 29.5 29.1 28.9
38.2 37.8 38.6 38.0 37.3 36.4 36.0 35.2 34.9
30.7 30.6 30.4 29.9 29.8 29.6 29.4 29.2 29.1
38.3 37.8 37.9 37.3 36.7 36.1 35.9 35.4 35.2
30.7 30.4 30.1 29.7 29.4 29.4 29.4 29.3 29.3
38.4 37.8 37.2 36.6 36.0 35.9 35.7 35.6 35.4
30.8 29.3 28.6 27.8
38.6 35.9 34.6 33.2
Figure 49. Top surface of vapor chamber under force convection between 10W to 40W (Run #8) - temperature distribution
10W 15W
20W 40W
56
26.1 26.4 26.7 26.8 26.9 27.0 27.1 27.3 27.5
29.4 29.8 30.1 30.2 30.3 30.4 30.3 30.2 29.9
26.2 26.5 26.9 27.1 27.3 27.8 28.4 27.9 27.4
29.5 29.9 30.4 30.6 30.8 31.6 32.3 30.7 30.0
26.3 26.6 27.0 27.3 27.7 28.2 27.3
29.6 30.1 30.6 31.0 31.4 31.3 30.2
26.3 26.7 27.2 27.6 28.1 28.4 27.2
29.7 30.3 30.9 31.4 31.9 31.9 30.3
26.4 26.9 27.3 27.9 28.5 28.5 27.1
29.8 30.5 31.1 31.8 32.5 32.5 30.5
26.4 26.8 27.2 27.6 28.1 28.3 27.0
29.8 30.3 30.9 31.4 32.0 32.1 30.6
26.4 26.7 27.0 27.4 27.8 28.0 26.9
29.8 30.2 30.7 31.1 31.5 31.7 30.7
26.3 26.6 26.9 27.1 27.4 27.8 28.3 27.6 26.8
29.7 30.1 30.4 30.7 31.0 31.6 32.2 31.3 30.9
26.3 26.5 26.7 26.9 27.0 27.3 27.2 27.0 26.7
29.7 30.0 30.2 30.4 30.5 30.8 30.9 30.9 31.0
28.5 27.3 26.7 26.1
32.5 31.0 30.2 29.4
33.2 33.8 34.3 34.6 34.7 34.8 34.7 34.5 34.2
43.6 44.5 45.3 45.6 45.8 46.3 46.1 46.0 45.6
33.4 33.9 34.4 35.0 35.5 36.6 37.8 36.1 34.4
43.9 45.0 46.1 46.7 47.4 49.7 52.0 49.0 45.9
33.5 34.0 34.5 35.4 36.2 36.6 34.5
44.1 45.5 46.8 47.9 49.0 49.7 46.3
33.7 34.1 34.5 35.8 37.0 37.0 34.7
44.4 46.0 47.6 49.0 50.5 51.5 46.6
33.8 34.2 34.6 36.2 37.8 38.0 34.9
44.6 46.5 48.3 50.2 52.1 53.4 46.9
33.8 34.2 34.6 35.8 37.1 37.2 35.0
44.6 46.1 47.7 49.2 50.7 52.0 47.2
33.8 34.2 34.6 35.5 36.4 36.9 35.2
44.6 45.8 47.1 48.2 49.3 50.6 47.6
33.7 34.2 34.6 35.5 35.7 36.6 37.6 36.5 35.3
44.5 45.5 46.5 47.2 47.9 49.8 51.7 49.1 47.9
33.7 34.2 34.6 34.8 35.0 35.3 35.4 35.4 35.5
44.5 45.2 45.9 46.2 46.6 47.2 47.5 47.7 48.2
38 35.6 34.4 33.2
53.4 48.5 46.1 43.6
Figure 50. Bottom surface of vapor chamber under force convection between 10W to 40W (Run #8) - temperature distribution
10W 15W
20W 40W
57
Figure 51. Fin heat sink and vapor chamber with small heating element under forced convection (Run #9) - transient
temperature
Ts
Tal
Tvcmax
Tvc
m Tfmax
Tfm
Tinsm
Ta
180 360 540
10W 15W 20W 40W
58
23.6 23.5 23.5 23.4 23.3 23.2 23.0 22.9 22.7
25.8 25.7 25.6 25.4 25.3 25.1 24.8 24.6 24.3
23.8 23.7 23.7 23.5 23.4 23.3 23.1 23.0 22.8
26.1 25.9 25.8 25.6 25.4 25.2 25.0 24.7 24.5
24.1 24.0 23.9 23.7 23.5 23.4 23.2 23.2 22.9
26.3 26.2 26.1 25.8 25.5 25.3 25.1 24.9 24.6
24.3 24.2 24.1 24.1 24.1 23.8 23.5 23.3 23.0
26.6 26.4 26.3 26.3 26.2 25.8 25.4 25.1 24.8
24.5 24.4 24.3 24.5 24.6 24.2 23.8 23.5 23.1
26.8 26.4 26.5 26.7 26.9 26.3 25.6 25.3 24.9
24.5 24.4 24.4 24.4 24.4 24.2 23.9 23.5 23.3
26.8 26.7 26.7 26.7 26.7 26.2 25.8 25.4 25.1
24.5 24.3 24.5 24.4 24.2 24.1 24.0 23.6 23.5
26.8 26.8 26.9 26.7 26.4 26.2 26.0 25.5 25.3
24.4 24.3 24.3 24.0 24.0 24.0 23.9 23.7 23.6
26.7 26.7 26.6 26.4 26.2 26.0 25.9 25.6 25.5
24.4 24.3 24.1 24.0 23.8 23.8 23.8 23.8 23.8
26.7 26.5 26.3 26.1 25.9 25.9 25.8 25.8 25.7
24.5 23.6 23.2 22.7
26.9 25.6 25.0 24.3
28.8 28.7 28.7 28.6 28.5 28.2 27.9 27.6 27.3
36.6 36.4 36.2 36.0 35.8 35.2 34.5 33.9 33.2
29.1 29.0 28.8 28.7 28.6 28.3 28.1 27.8 27.5
37.0 36.9 36.9 36.5 36.0 35.4 34.8 34.2 33.5
29.5 29.2 28.9 28.8 28.7 28.5 28.2 28.0 27.6
37.3 37.5 37.6 36.9 36.2 35.7 35.1 34.5 33.8
29.8 29.6 29.4 29.5 29.6 29.0 28.5 28.2 27.8
37.7 37.6 37.6 37.5 37.4 36.3 35.3 34.7 34.1
30.1 30.0 29.8 30.1 30.4 29.6 28.8 28.4 27.9
38.0 37.8 37.5 38.1 38.6 37.0 35.4 34.9 34.4
30.0 30.0 30.1 29.9 30.1 29.4 28.9 28.5 28.1
38.1 37.8 38.1 38.0 38.0 36.7 35.7 35.1 34.9
30.2 30.2 30.3 29.7 29.7 29.2 29.0 28.6 28.4
38.2 37.8 38.6 38.0 37.3 36.4 36.0 35.2 34.9
30.2 30.1 29.9 29.4 29.3 29.1 28.9 28.7 28.6
38.3 37.8 37.9 37.3 36.7 36.1 35.9 35.4 35.2
30.2 29.9 29.6 29.2 28.9 28.9 28.9 28.8 28.8
38.4 37.8 37.2 36.6 36.0 35.9 35.7 35.6 35.4
30.3 28.8 28.1 27.3
38.6 35.9 34.6 33.2
Figure 52. Top surface of vapor chamber under force convection between 10W to 40W (Run #9) - temperature distribution
10W 15W
20W 40W
59
25.6 25.9 26.2 26.3 26.4 26.5 26.6 26.8 27.0
28.9 29.3 29.6 29.7 29.8 29.9 29.8 29.7 29.4
25.7 26.0 26.4 26.6 26.8 27.3 27.9 27.4 26.9
29.0 29.4 29.9 30.1 30.3 31.1 31.8 30.2 29.5
25.8 26.1 26.5 26.8 27.2 27.7 26.8
29.1 29.6 30.1 30.5 30.9 30.8 29.7
25.8 26.2 26.7 27.1 27.6 27.9 26.7
29.2 29.8 30.4 30.9 31.4 31.4 29.8
25.9 26.4 26.8 27.4 28.0 28.0 26.6
29.3 30.0 30.6 31.3 32.0 32.0 30.0
25.9 26.3 26.7 27.1 27.6 27.8 26.5
29.3 29.8 30.4 30.9 31.5 31.6 30.1
25.9 26.2 26.5 26.9 27.3 27.5 26.4
29.3 29.7 30.2 30.6 31.0 31.2 30.2
25.8 26.1 26.4 26.6 26.9 27.3 27.8 27.1 26.3
29.2 29.6 29.9 30.2 30.5 31.1 31.7 30.8 30.4
25.8 26.0 26.2 26.4 26.5 26.8 26.7 26.5 26.2
29.2 29.5 29.7 29.9 30.0 30.3 30.4 30.4 30.5
28 26.8 26.2 25.6
32 30.5 29.7 28.9
32.7 33.3 33.8 34.1 34.2 34.3 34.2 34.0 33.7
43.6 44.5 45.3 45.6 45.8 46.3 46.1 46.0 45.6
32.9 33.4 33.9 34.5 35.0 36.1 37.3 35.6 33.9
43.9 45.0 46.1 46.7 47.4 49.7 52.0 49.0 45.9
33.0 33.5 34.0 34.9 35.7 36.1 34.0
44.1 45.5 46.8 47.9 49.0 49.8 46.3
33.2 33.6 34.0 35.3 36.5 36.5 34.2
44.4 46.0 47.6 49.0 50.5 51.8 46.6
33.3 33.7 34.1 35.7 37.3 37.5 34.4
44.6 46.5 48.3 50.2 52.1 53.7 46.9
33.3 33.7 34.1 35.3 36.6 36.7 34.5
44.6 46.1 47.7 49.2 50.7 52.2 47.2
33.3 33.7 34.1 35.0 35.9 36.4 34.7
44.6 45.8 47.1 48.2 49.3 50.7 47.6
33.2 33.7 34.1 35.0 35.2 36.1 37.1 36.0 34.8
44.5 45.5 46.5 47.2 47.9 49.8 51.7 49.2 47.9
33.2 33.7 34.1 34.3 34.5 34.8 34.9 34.9 35.0
44.5 45.2 45.9 46.2 46.6 47.2 47.5 47.7 48.2
37.5 35.1 33.9 32.7
53.7 48.7 46.1 43.6
Figure 53. Bottom surface of vapor chamber under force convection between 10W to 40W (Run #9) - temperature distribution
10W 15W
20W 40W
60
38.9 38.9 38.9 38.9 38.9 38.9 38.9 38.9 38.9
39.2 39.2 39.0 39.0 39.0 39.0 39.1 39.1 38.9
39.4 39.5 39.1 39.1 39.1 39.2 39.2 39.4 38.9
39.7 39.8 39.7 40.3 40.8 40.4 40.0 39.6 38.9
39.9 40.1 40.3 41.4 42.5 41.6 40.7 39.8 38.9
39.9 40.0 40.2 40.7 41.3 40.9 40.5 39.8 39.1
39.8 39.9 40.0 40.0 40.0 40.1 40.2 39.8 39.3
39.8 39.8 39.9 39.8 39.9 39.9 40.0 39.7 39.5
39.7 39.7 39.8 39.8 39.8 39.8 39.8 39.7 39.7
Figure 54. Comparison of top surface of vapor chamber under natural convection at 10W to 15W between phase 1 and phase 2
(Run #1 and run #2) - temperature distribution
40.4 40.3 40.2 40.1 40.0 39.9 39.9 39.8 39.7
40.5 40.5 40.4 40.3 40.1 40.2 40.2 40.0 39.9
40.6 40.6 40.6 40.4 40.2 40.4 40.6 40.3 40.0
40.7 40.8 40.8 40.8 40.8 40.9 41.0 40.5 40.2
40.8 40.9 41.0 41.2 41.3 41.3 41.3 40.8 40.3
40.8 40.9 41.1 41.2 41.3 41.3 41.3 40.8 40.4
40.9 40.9 41.2 41.2 41.2 41.3 41.3 40.8 40.6
40.9 40.9 41.1 40.9 41.1 41.1 41.1 40.8 40.7
40.9 40.9 40.9 40.9 40.9 40.9 40.9 40.8 40.8
41.3 40.5 40.1 39.7 42.5 40.7 39.8 38.9
46.5 46.5 46.6 46.6 46.6 46.6 46.6 46.5 46.5
46.8 46.8 46.7 46.7 46.8 46.8 46.8 46.8 46.6
47.1 47.0 46.9 46.9 46.9 47.0 47.0 47.1 46.6
47.3 47.4 47.6 48.5 49.4 48.6 47.9 47.4 46.7
47.6 47.6 48.2 50.0 51.8 50.3 48.8 47.8 46.7
47.5 47.7 48.0 48.9 49.8 49.1 48.4 47.7 46.9
47.5 47.6 47.7 47.8 47.8 47.9 48.0 47.6 47.1
47.4 47.5 47.6 47.6 47.7 47.7 47.7 47.5 47.2
47.3 47.4 47.4 47.5 47.5 47.5 47.5 47.4 47.4
47.5 47.4 47.3 47.1 47.0 46.9 46.8 46.6 46.5
47.6 47.5 47.5 47.3 47.1 47.2 47.3 46.9 46.7
47.6 47.7 47.7 47.5 47.2 47.5 47.8 47.3 46.9
47.7 47.8 47.9 47.8 47.8 48.0 48.2 47.6 47.1
47.7 47.9 48.0 48.2 48.4 48.5 48.5 47.9 47.3
47.8 48.0 48.2 48.3 48.4 48.5 48.6 47.9 47.4
47.9 48.1 48.3 48.4 48.4 48.5 48.6 47.9 47.6
47.9 48.0 48.2 48.2 48.2 48.2 48.3 47.9 47.7
48.0 48.0 48.0 48.0 48.0 48.0 47.9 47.9 47.8
48.6 47.6 47.0 46.5 51.8 49.2 47.8 46.5
10W 10W
15W 15W
Phase 1
Phase 1
Phase 2
Phase 2
61
Figure 55. Comparison of top surface of vapor chamber under natural convection at 20W between phase 1 and phase 2 (Run #1
and run #2) - temperature distribution
51.1 51.2 51.2 51.3 51.3 51.3 51.3 51.2 51.2
51.4 51.4 51.5 51.5 51.5 51.5 51.5 51.6 51.3
51.7 51.7 51.7 51.7 51.7 51.7 51.7 51.9 51.3
51.9 52.2 52.4 53.6 54.7 53.7 52.8 52.3 51.4
52.2 52.7 53.1 55.4 57.7 55.8 53.8 52.6 51.4
52.4 52.6 52.8 54.6 55.2 54.9 53.3 52.5 51.6
52.1 52.3 52.5 53.8 52.6 54.0 52.8 52.3 51.7
52.0 52.1 52.3 52.9 52.4 53.1 52.5 52.2 51.9
51.9 52.0 52.1 52.1 52.2 52.2 52.1 52.1 52.0
53.8 53.7 53.5 53.4 53.2 53.1 52.9 52.8 52.6
53.8 53.8 53.9 53.6 53.4 53.5 53.6 53.1 52.9
53.9 54.0 54.2 53.9 53.5 53.9 54.3 53.5 53.1
53.9 54.1 54.3 54.2 54.2 54.4 54.6 53.9 53.4
53.9 54.1 54.3 54.6 54.8 54.9 54.9 54.3 53.6
54.0 54.3 54.5 54.5 54.8 54.7 55.0 54.2 53.7
54.1 54.4 54.7 54.4 54.7 54.5 55.0 54.1 53.8
54.2 54.4 54.5 54.4 54.5 54.4 54.6 54.1 53.8
54.3 54.3 54.3 54.3 54.3 54.2 54.1 54.0 53.9
57.7 54.5 52.8 51.2 55 53.8 53.2 52.6 20W 20W
Phase 1 Phase 2
62
Figure 56. Comparison of top surface of vapor chamber under natural convection at 10W to 15W between phase 2 and phase 3
(Run #2 and run #6) - temperature distribution
39.0 39.0 39.0 38.9 38.9 38.7 38.5 38.3 38.1
39.2 39.2 38.9 38.9 38.9 38.7 38.6 38.5 38.2
39.5 39.4 38.9 38.9 38.8 38.8 38.7 38.7 38.3
39.7 39.7 39.4 39.4 39.5 39.3 39.1 38.8 38.4
39.9 39.9 39.9 40.0 40.1 39.8 39.5 39.0 38.5
40.0 39.9 40.0 39.9 39.8 39.6 39.5 39.1 38.7
40.0 39.9 40.1 39.8 39.4 39.5 39.5 39.2 39.0
40.1 39.9 39.9 39.6 39.4 39.4 39.5 39.3 39.2
40.1 39.9 39.8 39.6 39.4 39.4 39.4 39.4 39.4
40.1 39.1 38.6 38.1
40.4 40.3 40.2 40.1 40.0 39.9 39.9 39.8 39.7
40.5 40.5 40.4 40.3 40.1 40.2 40.2 40.0 39.9
40.6 40.6 40.6 40.4 40.2 40.4 40.6 40.3 40.0
40.7 40.8 40.8 40.8 40.8 40.9 41.0 40.5 40.2
40.8 40.9 41.0 41.2 41.3 41.3 41.3 40.8 40.3
40.8 40.9 41.1 41.2 41.3 41.3 41.3 40.8 40.4
40.9 40.9 41.2 41.2 41.2 41.3 41.3 40.8 40.6
40.9 40.9 41.1 40.9 41.1 41.1 41.1 40.8 40.7
40.9 40.9 40.9 40.9 40.9 40.9 40.9 40.8 40.8
41.3 40.5 40.1 39.7
47.1 47.0 47.0 46.9 46.8 46.5 46.2 45.8 45.5
47.3 47.1 46.9 46.8 46.8 46.5 46.3 46.0 45.7
47.6 47.2 46.9 46.8 46.7 46.6 46.5 46.3 45.8
47.8 47.6 47.5 47.5 47.5 47.2 46.9 46.5 46.0
48.0 47.8 48.0 48.1 48.2 47.8 47.3 46.7 46.1
48.1 48.1 48.2 48.0 47.7 47.5 47.4 46.8 46.4
48.2 48.3 48.4 47.8 47.2 47.3 47.4 46.9 46.6
48.2 48.2 48.1 47.7 47.3 47.3 47.3 47.0 46.9
48.3 48.1 47.8 47.6 47.3 47.3 47.2 47.2 47.1
48.4 47.0 46.2 45.5
45.5 45.4 45.3 45.1 45.0 44.9 44.8 44.6 44.5
45.6 45.5 45.5 45.3 45.1 45.2 45.3 44.9 44.7
45.6 45.7 45.7 45.5 45.2 45.5 45.8 45.3 44.9
45.7 45.8 45.9 45.8 45.8 46.0 46.2 45.6 45.1
45.7 46.0 46.0 46.2 46.4 46.5 46.5 45.9 45.3
45.8 46.0 46.2 46.3 46.4 46.5 46.6 45.9 45.4
45.9 46.1 46.3 46.4 46.4 46.5 46.6 45.9 45.6
45.9 46.0 46.2 46.2 46.2 46.2 46.3 45.9 45.7
46.0 46.0 46.0 46.0 46.0 46.0 45.9 45.9 45.8
46.6 45.6 45.0 44.5
10W
15W 15W
Phase 2 Phase 3
Phase 2 Phase 3
10W
Phase 2 Phase 3
63
Figure 57. Comparison of top surface of vapor chamber under natural convection at 20W to 40W between phase 2 and phase 3
(Run #2 and run #6) - temperature distribution
51.8 51.7 51.5 51.4 51.2 51.1 50.9 50.8 50.6
51.8 51.8 51.9 51.6 51.4 51.5 51.6 51.1 50.9
51.9 52.0 52.2 51.9 51.5 51.9 52.3 51.5 51.1
51.9 52.1 52.3 52.2 52.2 52.4 52.6 51.9 51.4
51.9 52.1 52.3 52.6 52.8 52.9 52.9 52.3 51.6
52.0 52.3 52.5 52.5 52.8 52.7 53.0 52.2 51.7
52.1 52.4 52.7 52.4 52.7 52.5 53.0 52.1 51.8
52.2 52.4 52.5 52.4 52.5 52.4 52.6 52.1 51.8
52.3 52.3 52.3 52.3 52.3 52.2 52.1 52.0 51.9
53 51.8 51.2 50.6
53.1 53.1 53.1 53.0 53.0 52.6 52.3 51.9 51.5
53.4 53.2 53.0 52.9 52.9 52.7 52.4 52.1 51.7
53.6 53.3 52.9 52.9 52.8 52.7 52.6 52.3 51.8
53.9 53.7 53.5 53.6 53.7 53.3 53.0 52.5 52.0
54.1 54.1 54.1 54.3 54.5 54.0 53.4 52.8 52.1
54.1 54.3 54.4 54.1 53.9 53.8 53.4 52.9 52.4
54.3 54.5 54.7 54.0 53.3 53.6 53.4 53.0 52.6
54.4 54.4 54.3 53.8 53.3 53.4 53.3 53.1 52.9
54.5 54.2 53.9 53.6 53.3 53.3 53.2 53.2 53.1
54.7 53.1 52.3 51.5
73.5 73.2 73.0 72.7 72.4 72.0 71.7 71.3 70.9
73.3 73.4 73.6 73.1 72.6 72.8 73.0 72.2 71.4
73.1 73.6 74.2 73.5 72.7 73.5 74.3 73.1 72.0
72.8 73.3 73.9 73.7 73.5 74.0 74.5 73.5 72.5
72.6 73.1 73.5 73.9 74.3 74.5 74.6 73.8 73.0
72.9 73.2 74.0 74.2 74.4 74.2 74.7 73.6 72.9
73.2 73.4 74.4 74.5 74.5 74.0 74.8 73.4 72.9
73.5 73.6 74.1 74.1 74.1 73.7 74.0 73.2 72.9
73.8 73.8 73.8 73.7 73.7 73.5 73.3 73.0 72.8
74.8 72.9 71.9 70.9
75.6 75.5 75.4 75.3 75.2 74.6 74.0 73.3 72.7
75.9 75.7 75.5 75.4 75.3 74.8 74.4 73.7 73.0
76.2 75.9 75.5 75.5 75.4 75.1 74.8 74.0 73.3
76.5 76.4 76.2 76.4 76.7 75.9 75.1 74.3 73.5
76.8 76.9 76.9 77.4 77.9 76.6 75.3 74.6 73.8
77.1 77.0 77.5 77.1 76.8 76.3 75.5 74.7 74.4
77.4 77.1 78.1 76.9 75.6 76.0 75.6 74.9 74.4
77.6 77.2 77.4 76.5 75.6 75.7 75.5 75.0 74.7
77.9 77.3 76.8 76.2 75.6 75.5 75.3 75.2 75.0
78.1 75.4 74.1 72.7
40W
20W 20W
40W
Phase 2
Phase 2 Phase 3
Phase 3
64
Figure 58. Comparison of bottom surface of vapor chamber under natural convection at 10W to 15W (Run #2 and run #6) -
temperature distribution
40.6 41.2 41.8 41.9 42.0 42.1 42.1 42.1 42.0
40.7 41.2 41.8 42.1 42.4 43.0 43.6 42.8 42.0
40.8 41.2 41.7 42.3 42.9 43.4 42.0
40.8 41.2 41.7 42.5 43.3 43.7 41.9
40.9 41.3 41.6 42.7 43.8 44.0 41.9
40.9 41.2 41.6 42.4 43.3 43.6 41.9
40.9 41.2 41.6 42.2 42.8 43.3 41.9
40.8 41.2 41.5 41.9 42.3 42.8 43.3 42.6 41.8
40.8 41.2 41.5 41.6 41.8 42.0 42.0 41.9 41.8
44 42.3 41.5 40.6
48.0 48.8 49.6 49.7 49.8 49.9 49.8 49.8 49.6
48.1 48.8 49.6 50.0 50.4 51.3 52.2 50.5 49.7
48.2 48.9 49.6 50.3 51.1 51.3 49.7
48.3 48.9 49.5 50.7 51.8 52.1 49.8
48.4 49.0 49.5 51.0 52.5 52.9 49.8
48.4 48.9 49.4 50.6 51.8 52.2 49.9
48.4 48.9 49.4 50.2 51.0 51.4 49.9
48.3 48.8 49.3 49.8 50.3 51.0 51.8 50.7 50.0
48.3 48.8 49.2 49.4 49.6 49.9 49.9 50.0 50.0
52.9 50.5 49.2 48
40.1 40.5 40.9 41.0 41.0 41.1 41.0 40.9 40.7
40.1 40.6 41.0 41.2 41.4 41.9 42.4 41.5 40.7
40.2 40.6 41.1 41.4 41.7 42.0 40.6
40.2 40.7 41.1 41.6 42.1 42.3 40.6
40.2 40.7 41.2 41.8 42.4 42.5 40.5
40.2 40.6 41.1 41.6 42.0 42.2 40.5
40.1 40.6 41.0 41.3 41.7 41.9 40.4
40.1 40.5 40.9 41.1 41.3 41.8 42.3 41.3 40.4
40.0 40.4 40.8 40.9 41.0 41.1 40.9 40.7 40.3
42.5 41.3 40.6 40
48.6 49.2 49.7 49.8 49.9 50.0 49.7 49.4 48.8
48.6 49.3 49.9 50.1 50.4 51.2 52.0 50.2 48.9
48.7 49.4 50.1 50.5 51.0 50.9 48.9
48.7 49.5 50.2 50.9 51.5 51.7 49.0
48.7 49.6 50.4 51.3 52.1 52.4 49.1
48.7 49.4 50.2 50.9 51.6 51.7 49.1
48.6 49.3 50.1 50.5 51.0 51.1 49.2
48.6 49.2 49.9 50.2 50.5 51.2 51.9 50.4 49.2
48.5 49.1 49.7 49.8 49.9 50.1 49.9 49.7 49.3
52.4 50.5 49.5 48.5
15W
10W
15W
10W
Phase 3 Phase 2
Phase 2 Phase 3
65
Figure 59. Comparison of bottom surface of vapor chamber under natural convection at 20W to 40W between phase 2 and
phase 3 (Run #2 and run #6) - temperature distribution
55.1 55.8 56.5 56.7 56.7 56.8 56.5 56.3 55.7
55.2 55.8 56.5 57.0 57.4 58.3 59.3 57.5 55.8
55.2 55.9 56.5 57.3 58.1 58.1 55.8
55.3 55.9 56.5 57.6 58.7 58.6 55.9
55.3 55.9 56.5 58.0 59.4 59.7 56.0
55.2 55.8 56.5 57.6 58.7 58.7 56.0
55.0 55.8 56.5 57.3 58.1 58.1 56.1
54.9 55.7 56.5 57.3 57.4 58.2 59.1 57.6 56.1
54.7 55.6 56.5 56.6 56.7 56.9 56.7 56.6 56.2
59.7 57.2 56.0 54.7
54.5 55.5 56.5 56.7 56.8 56.9 56.8 56.7 56.5
54.7 55.5 56.4 57.1 57.7 58.8 59.9 58.2 56.6
54.9 55.6 56.3 57.4 58.5 58.8 56.6
55.0 55.6 56.2 57.8 59.4 59.5 56.7
55.2 55.7 56.1 58.2 60.2 60.7 56.8
55.2 55.6 56.1 57.7 59.3 59.4 56.8
55.1 55.6 56.1 57.2 58.4 58.8 56.9
55.1 55.6 56.1 57.2 57.5 58.4 59.3 58.1 56.9
55.0 55.6 56.1 56.3 56.6 57.0 57.0 57.0 57.0
60.7 57.6 56.1 54.5
76.9 78.7 80.5 80.7 80.9 81.3 81.2 81.0 80.7
77.3 79.0 80.7 81.7 82.8 85.2 87.6 84.2 80.8
77.7 79.3 80.9 82.8 84.7 85.3 81.0
78.1 79.6 81.0 83.8 86.5 87.4 81.1
78.5 79.9 81.2 84.8 88.4 89.5 81.3
78.4 79.7 81.0 83.7 86.5 87.6 81.4
78.3 79.5 80.7 82.7 84.7 85.6 81.5
78.1 79.3 80.5 81.6 82.8 85.0 87.1 83.7 81.7
78.0 79.1 80.2 80.6 81.0 81.7 81.7 81.8 81.8
89.5 83.2 80.1 76.9
80.1 81.3 82.5 82.7 82.9 83.2 82.7 82.2 81.2
80.2 81.6 83.0 83.6 84.2 86.1 87.9 84.6 81.3
80.4 82.0 83.6 84.6 85.6 85.5 81.5
80.5 82.3 84.1 85.5 87.0 87.2 81.6
80.6 82.6 84.6 86.5 88.4 88.8 81.8
80.6 82.4 84.2 85.6 87.1 87.3 81.9
80.7 82.2 83.7 84.7 85.8 85.9 82.0
80.7 82.0 83.3 83.9 84.5 86.2 88.0 84.4 82.2
80.7 81.8 82.8 83.0 83.2 83.5 83.2 82.9 82.3
88.8 84.5 82.3 80.1
20W 20W
40W 40W
Phase 3
Phase 3 Phase 2
Phase 2
66
Figure 60. Comparison of top surface of vapor chamber under natural convection at 10W to 15W between phase 2 and phase 3
(Run #3 and run #7) - temperature distribution
37.5 37.5 37.5 37.4 37.4 37.2 37.0 36.8 36.6
37.7 37.7 37.4 37.4 37.4 37.2 37.1 37.0 36.7
38.0 37.9 37.4 37.4 37.3 37.3 37.2 37.2 36.8
38.2 38.2 37.9 37.9 38.0 37.8 37.6 37.3 36.9
38.4 38.4 38.4 38.5 38.6 38.3 38.0 37.5 37.0
38.5 38.4 38.5 38.4 38.3 38.1 38.0 37.6 37.2
38.5 38.4 38.6 38.3 37.9 38.0 38.0 37.7 37.5
38.6 38.4 38.4 38.1 37.9 37.9 38.0 37.8 37.7
38.6 38.4 38.3 38.1 37.9 37.9 37.9 37.9 37.9
38.6 37.6 37.1 36.6
38.4 38.3 38.2 38.1 38.0 37.9 37.9 37.8 37.7
38.5 38.5 38.4 38.3 38.1 38.2 38.2 38.0 37.9
38.6 38.6 38.6 38.4 38.2 38.4 38.6 38.3 38.0
38.7 38.8 38.8 38.8 38.8 38.9 39.0 38.5 38.2
38.8 38.9 39.0 39.2 39.3 39.3 39.3 38.8 38.3
38.8 38.9 39.1 39.2 39.3 39.3 39.3 38.8 38.4
38.9 38.9 39.2 39.2 39.2 39.3 39.3 38.8 38.6
38.9 38.9 39.1 38.9 39.1 39.1 39.1 38.8 38.7
38.9 38.9 38.9 38.9 38.9 38.9 38.9 38.8 38.8
39.3 38.5 38.1 37.7
45.6 45.5 45.5 45.4 45.3 45.0 44.7 44.3 44.0
45.8 45.6 45.4 45.3 45.3 45.0 44.8 44.5 44.2
46.1 45.7 45.4 45.3 45.2 45.1 45.0 44.8 44.3
46.3 46.1 46.0 46.0 46.0 45.7 45.4 45.0 44.5
46.5 46.4 46.5 46.6 46.7 46.3 45.8 45.2 44.6
46.6 46.6 46.7 46.5 46.2 46.0 45.9 45.3 44.9
46.7 46.8 46.9 46.3 45.7 45.8 45.9 45.4 45.1
46.7 46.7 46.6 46.2 45.8 45.8 45.8 45.5 45.4
46.8 46.6 46.3 46.1 45.8 45.8 45.7 45.7 45.6
46.9 45.5 44.7 44
45.5 45.4 45.3 45.1 45.0 44.9 44.8 44.6 44.5
45.6 45.5 45.5 45.3 45.1 45.2 45.3 44.9 44.7
45.6 45.7 45.7 45.5 45.2 45.5 45.8 45.3 44.9
45.7 45.8 45.9 45.8 45.8 46.0 46.2 45.6 45.1
45.7 46.0 46.0 46.2 46.4 46.5 46.5 45.9 45.3
45.8 46.0 46.2 46.3 46.4 46.5 46.6 45.9 45.4
45.9 46.1 46.3 46.4 46.4 46.5 46.6 45.9 45.6
45.9 46.0 46.2 46.2 46.2 46.2 46.3 45.9 45.7
46.0 46.0 46.0 46.0 46.0 46.0 45.9 45.9 45.8
46.6 45.6 45.0 44.5
10W
15W 15W
10W
Phase 3
Phase 3 Phase 2
Phase 2
67
Figure 61. Comparison of top surface of vapor chamber under natural convection at 20W to 40W between phase 2 and phase 3
(Run #3 and run #7) - temperature distribution
51.8 51.7 51.5 51.4 51.2 51.1 50.9 50.8 50.6
51.8 51.8 51.9 51.6 51.4 51.5 51.6 51.1 50.9
51.9 52.0 52.2 51.9 51.5 51.9 52.3 51.5 51.1
51.9 52.1 52.3 52.2 52.2 52.4 52.6 51.9 51.4
51.9 52.1 52.3 52.6 52.8 52.9 52.9 52.3 51.6
52.0 52.3 52.5 52.5 52.8 52.7 53.0 52.2 51.7
52.1 52.4 52.7 52.4 52.7 52.5 53.0 52.1 51.8
52.2 52.4 52.5 52.4 52.5 52.4 52.6 52.1 51.8
52.3 52.3 52.3 52.3 52.3 52.2 52.1 52.0 51.9
53 51.8 51.2 50.6
51.6 51.6 51.6 51.5 51.5 51.1 50.8 50.4 50.0
51.9 51.7 51.5 51.4 51.4 51.2 50.9 50.6 50.2
52.1 51.8 51.4 51.4 51.3 51.2 51.1 50.8 50.3
52.4 52.2 52.0 52.1 52.2 51.8 51.5 51.0 50.5
52.6 52.6 52.6 52.8 53.0 52.5 51.9 51.3 50.6
52.6 52.8 52.9 52.6 52.4 52.3 51.9 51.4 50.9
52.8 53.0 53.2 52.5 51.8 52.1 51.9 51.5 51.1
52.9 52.9 52.8 52.3 51.8 51.9 51.8 51.6 51.4
53.0 52.7 52.4 52.1 51.8 51.8 51.7 51.7 51.6
53.2 51.6 50.8 50
74.1 74.0 73.9 73.8 73.7 73.1 72.5 71.8 71.2
74.4 74.2 74.0 73.9 73.8 73.3 72.9 72.2 71.5
74.7 74.4 74.0 74.0 73.9 73.6 73.3 72.5 71.8
75.0 74.9 74.7 74.9 75.2 74.4 73.6 72.8 72.0
75.3 75.4 75.4 75.9 76.4 75.1 73.8 73.1 72.3
75.6 75.5 76.0 75.6 75.3 74.8 74.0 73.2 72.9
75.9 75.6 76.6 75.4 74.1 74.5 74.1 73.4 72.9
76.1 75.7 75.9 75.0 74.1 74.2 74.0 73.5 73.2
76.4 75.8 75.3 74.7 74.1 74.0 73.8 73.7 73.5
76.6 73.9 72.6 71.2
73.5 73.2 73.0 72.7 72.4 72.0 71.7 71.3 70.9
73.3 73.4 73.6 73.1 72.6 72.8 73.0 72.2 71.4
73.1 73.6 74.2 73.5 72.7 73.5 74.3 73.1 72.0
72.8 73.3 73.9 73.7 73.5 74.0 74.5 73.5 72.5
72.6 73.1 73.5 73.9 74.3 74.5 74.6 73.8 73.0
72.9 73.2 74.0 74.2 74.4 74.2 74.7 73.6 72.9
73.2 73.4 74.4 74.5 74.5 74.0 74.8 73.4 72.9
73.5 73.6 74.1 74.1 74.1 73.7 74.0 73.2 72.9
73.8 73.8 73.8 73.7 73.7 73.5 73.3 73.0 72.8
74.8 72.9 71.9 70.9
20W 20W
40W 40W
Phase 2
Phase 2 Phase 3
Phase 3
68
Figure 62. Comparison of bottom surface of vapor chamber under natural convection at 10W to 15W between phase 2 and
phase 3 (Run #3 and run #7) - temperature distribution
38.6 39.0 39.4 39.5 39.5 39.6 39.5 39.4 39.2
38.6 39.1 39.5 39.7 39.9 40.4 40.9 40.0 39.2
38.7 39.1 39.6 39.9 40.2 40.5 39.1
38.7 39.2 39.6 40.1 40.6 40.8 39.1
38.7 39.2 39.7 40.3 40.9 41.0 39.0
38.7 39.1 39.6 40.1 40.5 40.7 39.0
38.6 39.1 39.5 39.8 40.2 40.4 38.9
38.6 39.0 39.4 39.6 39.8 40.3 40.8 39.8 38.9
38.5 38.9 39.3 39.4 39.5 39.6 39.4 39.2 38.8
41 39.8 39.1 38.5
38.6 39.2 39.8 39.9 40.0 40.1 40.1 40.1 40.0
38.7 39.2 39.8 40.1 40.4 41.0 41.6 40.8 40.0
38.8 39.2 39.7 40.3 40.9 41.4 40.0
38.8 39.2 39.7 40.5 41.3 41.7 39.9
38.9 39.3 39.6 40.7 41.8 42.0 39.9
38.9 39.2 39.6 40.4 41.3 41.6 39.9
38.9 39.2 39.6 40.2 40.8 41.3 39.9
38.8 39.2 39.5 39.9 40.3 40.8 41.3 40.6 39.8
38.8 39.2 39.5 39.6 39.8 40.0 40.0 39.9 39.8
42 40.3 39.5 38.6
47.1 47.7 48.2 48.3 48.4 48.5 48.2 47.9 47.3
47.1 47.8 48.4 48.6 48.9 49.7 50.5 48.7 47.4
47.2 47.9 48.6 49.0 49.5 49.4 47.4
47.2 48.0 48.7 49.4 50.0 50.2 47.5
47.2 48.1 48.9 49.8 50.6 50.9 47.6
47.2 47.9 48.7 49.4 50.1 50.2 47.6
47.1 47.8 48.6 49.0 49.5 49.6 47.7
47.1 47.7 48.4 48.7 49.0 49.7 50.4 48.9 47.7
47.0 47.6 48.2 48.3 48.4 48.6 48.4 48.2 47.8
50.9 49.0 48.0 47
46.0 46.8 47.6 47.7 47.8 47.9 47.8 47.8 47.6
46.1 46.8 47.6 48.0 48.4 49.3 50.2 48.5 47.7
46.2 46.9 47.6 48.3 49.1 49.3 47.7
46.3 46.9 47.5 48.7 49.8 50.1 47.8
46.4 47.0 47.5 49.0 50.5 50.9 47.8
46.4 46.9 47.4 48.6 49.8 50.2 47.9
46.4 46.9 47.4 48.2 49.0 49.4 47.9
46.3 46.8 47.3 47.8 48.3 49.0 49.8 48.7 48.0
46.3 46.8 47.2 47.4 47.6 47.9 47.9 48.0 48.0
50.9 48.5 47.2 46
10W 10W
15W 15W
Phase 3
Phase 3 Phase 2
Phase 2
69
Figure 63. Comparison of bottom surface of vapor chamber under natural convection at 20W to 40W between phase 2 and
phase 3 (Run #3 and run #7) - temperature distribution
52.5 53.5 54.5 54.7 54.8 54.9 54.8 54.7 54.5
52.7 53.5 54.4 55.1 55.7 56.8 57.9 56.2 54.6
52.9 53.6 54.3 55.4 56.5 56.8 54.6
53.0 53.6 54.2 55.8 57.4 57.5 54.7
53.2 53.7 54.1 56.2 58.2 58.7 54.8
53.2 53.6 54.1 55.7 57.3 57.4 54.8
53.1 53.6 54.1 55.2 56.4 56.8 54.9
53.1 53.6 54.1 55.2 55.5 56.4 57.3 56.1 54.9
53.0 53.6 54.1 54.3 54.6 55.0 55.0 55.0 55.0
58.7 55.6 54.1 52.5
53.6 54.3 55.0 55.2 55.2 55.3 55.0 54.8 54.2
53.7 54.3 55.0 55.5 55.9 56.8 57.8 56.0 54.3
53.7 54.4 55.0 55.8 56.6 56.6 54.3
53.8 54.4 55.0 56.1 57.2 57.1 54.4
53.8 54.4 55.0 56.5 57.9 58.2 54.5
53.7 54.3 55.0 56.1 57.2 57.2 54.5
53.5 54.3 55.0 55.8 56.6 56.6 54.6
53.4 54.2 55.0 55.8 55.9 56.7 57.6 56.1 54.6
53.2 54.1 55.0 55.1 55.2 55.4 55.2 55.1 54.7
58.2 55.7 54.5 53.2
78.6 79.8 81.0 81.2 81.4 81.7 81.2 80.7 79.7
78.7 80.1 81.5 82.1 82.7 84.6 86.4 83.1 79.8
78.9 80.5 82.1 83.1 84.1 84.0 80.0
79.0 80.8 82.6 84.0 85.5 85.7 80.1
79.1 81.1 83.1 85.0 86.9 87.3 80.3
79.1 80.9 82.7 84.1 85.6 85.8 80.4
79.2 80.7 82.2 83.2 84.3 84.4 80.5
79.2 80.5 81.8 82.4 83.0 84.7 86.5 82.9 80.7
79.2 80.3 81.3 81.5 81.7 82.0 81.7 81.4 80.8
87.3 83.0 80.8 78.6
74.9 76.7 78.5 78.7 78.9 79.3 79.2 79.0 78.7
75.3 77.0 78.7 79.7 80.8 83.2 85.6 82.2 78.8
75.7 77.3 78.9 80.8 82.7 83.3 79.0
76.1 77.6 79.0 81.8 84.5 85.4 79.1
76.5 77.9 79.2 82.8 86.4 87.5 79.3
76.4 77.7 79.0 81.7 84.5 85.6 79.4
76.3 77.5 78.7 80.7 82.7 83.6 79.5
76.1 77.3 78.5 79.6 80.8 83.0 85.1 81.7 79.7
76.0 77.1 78.2 78.6 79.0 79.7 79.7 79.8 79.8
87.5 81.2 78.1 74.9
20W 20W
40W 40W
Phase 2
Phase 2 Phase 3
Phase 3
70
Figure 64. Comparison of top surface of vapor chamber under force convection at 10W to 15W between phase 2 and phase 3
(Run #4 and run #8) - temperature distribution
26.6 26.5 26.5 26.4 26.3 26.2 26.1 25.9 25.8
26.7 26.6 26.5 26.4 26.3 26.3 26.4 26.2 26.0
26.8 26.7 26.6 26.4 26.2 26.5 26.7 26.4 26.1
26.8 26.8 26.8 26.7 26.7 26.9 27.1 26.7 26.3
26.9 27.0 27.0 27.1 27.1 27.3 27.4 26.9 26.4
26.9 27.0 27.1 27.1 27.2 27.3 27.4 26.9 26.5
27.0 27.0 27.1 27.2 27.2 27.3 27.4 26.9 26.6
27.0 27.0 27.1 27.0 27.1 27.1 27.2 26.9 26.7
27.0 27.0 27.0 27.0 27.0 27.0 26.9 26.9 26.8
27.4 26.6 26.2 25.8
24.1 24.0 24.0 23.9 23.8 23.7 23.5 23.4 23.2
24.3 24.2 24.2 24.0 23.9 23.8 23.6 23.5 23.3
24.6 24.5 24.4 24.2 24.0 23.9 23.7 23.7 23.4
24.8 24.7 24.6 24.6 24.6 24.3 24.0 23.8 23.5
25.0 24.9 24.8 25.0 25.1 24.7 24.3 24.0 23.6
25.0 24.9 24.9 24.9 24.9 24.7 24.4 24.0 23.8
25.0 24.8 25.0 24.9 24.7 24.6 24.5 24.1 24.0
24.9 24.8 24.8 24.5 24.5 24.5 24.4 24.2 24.1
24.9 24.8 24.6 24.5 24.3 24.3 24.3 24.3 24.3
25 24.1 23.7 23.2
26.3 26.2 26.1 25.9 25.8 25.6 25.3 25.1 24.8
26.6 26.4 26.3 26.1 25.9 25.7 25.5 25.2 25.0
26.8 26.7 26.6 26.3 26.0 25.8 25.6 25.4 25.1
27.1 26.9 26.8 26.8 26.7 26.3 25.9 25.6 25.3
27.3 27.2 27.0 27.2 27.4 26.8 26.1 25.8 25.4
27.3 27.2 27.2 27.2 27.2 26.7 26.3 25.9 25.6
27.3 27.3 27.4 27.2 26.9 26.7 26.5 26.0 25.8
27.2 27.2 27.1 26.9 26.7 26.5 26.4 26.1 26.0
27.2 27.0 26.8 26.6 26.4 26.4 26.3 26.3 26.2
27.4 26.1 25.5 24.8
27.3 27.2 27.1 27.0 26.9 26.7 26.6 26.4 26.2
27.3 27.3 27.3 27.1 26.9 27.0 27.1 26.7 26.4
27.4 27.4 27.4 27.1 26.8 27.2 27.6 27.0 26.7
27.4 27.4 27.5 27.4 27.3 27.5 27.8 27.3 26.9
27.4 27.4 27.5 27.6 27.7 27.9 28.0 27.6 27.1
27.5 27.6 27.7 27.7 27.8 28.0 28.1 27.5 27.2
27.5 27.7 27.8 27.9 27.9 28.1 28.2 27.5 27.2
27.6 27.6 27.7 27.7 27.8 27.8 27.8 27.4 27.3
27.6 27.6 27.6 27.6 27.6 27.5 27.5 27.4 27.3
28.2 27.2 26.7 26.2
10W 10W
15W 15W
Phase 3
Phase 3 Phase 2
Phase 2
71
Figure 65. Comparison of top surface of vapor chamber under force convection at 20W to 40W between phase 2 and phase 3
(Run #4 and run #8) - temperature distribution
29.5 29.4 29.2 29.1 28.9 28.7 28.5 28.2 28.0
29.4 29.4 29.4 29.1 28.9 29.0 29.1 28.6 28.3
29.4 29.4 29.5 29.2 28.8 29.3 29.7 28.9 28.6
29.3 29.4 29.5 29.4 29.3 29.6 29.9 29.2 28.8
29.2 29.3 29.4 29.6 29.7 29.9 30.0 29.6 29.1
29.3 29.4 29.6 29.5 29.8 29.7 30.1 29.5 29.1
29.4 29.6 29.8 29.5 29.9 29.6 30.2 29.4 29.1
29.5 29.6 29.7 29.5 29.7 29.5 29.8 29.3 29.1
29.6 29.6 29.6 29.5 29.5 29.4 29.3 29.2 29.1
30.2 29.1 28.6 28
29.3 29.2 29.2 29.1 29.0 28.7 28.4 28.1 27.8
29.6 29.5 29.3 29.2 29.1 28.8 28.6 28.3 28.0
30.0 29.7 29.4 29.3 29.2 29.0 28.7 28.5 28.1
30.3 30.1 29.9 30.0 30.1 29.5 29.0 28.7 28.3
30.6 30.5 30.3 30.6 30.9 30.1 29.3 28.9 28.4
30.5 30.5 30.6 30.4 30.6 29.9 29.4 29.0 28.6
30.7 30.7 30.8 30.2 30.2 29.7 29.5 29.1 28.9
30.7 30.6 30.4 29.9 29.8 29.6 29.4 29.2 29.1
30.7 30.4 30.1 29.7 29.4 29.4 29.4 29.3 29.3
30.8 29.3 28.6 27.8
36.9 36.6 36.3 35.9 35.6 35.2 34.8 34.4 34.0
36.6 36.6 36.6 36.1 35.6 35.9 36.1 35.3 34.6
36.4 36.7 37.0 36.3 35.6 36.5 37.4 36.3 35.2
36.1 36.3 36.6 36.4 36.2 36.8 37.5 36.6 35.7
35.8 36.0 36.2 36.5 36.8 37.2 37.5 36.9 36.3
36.1 36.2 36.7 36.9 37.1 37.0 37.7 36.7 36.1
36.3 36.4 37.2 37.3 37.4 36.8 37.8 36.5 36.1
36.6 36.6 37.0 37.0 37.1 36.7 37.1 36.3 36.0
36.8 36.8 36.8 36.7 36.7 36.5 36.3 36.1 35.9
37.8 35.9 35.0 34
36.6 36.4 36.2 36.0 35.8 35.2 34.5 33.9 33.2
37.0 36.9 36.9 36.5 36.0 35.4 34.8 34.2 33.5
37.3 37.5 37.6 36.9 36.2 35.7 35.1 34.5 33.8
37.7 37.6 37.6 37.5 37.4 36.3 35.3 34.7 34.1
38.0 37.8 37.5 38.1 38.6 37.0 35.4 34.9 34.4
38.1 37.8 38.1 38.0 38.0 36.7 35.7 35.1 34.9
38.2 37.8 38.6 38.0 37.3 36.4 36.0 35.2 34.9
38.3 37.8 37.9 37.3 36.7 36.1 35.9 35.4 35.2
38.4 37.8 37.2 36.6 36.0 35.9 35.7 35.6 35.4
38.6 35.9 34.6 33.2
20W
40W
20W
40W
Phase 2
Phase 2 Phase 3
Phase 3
72
Figure 66. Comparison of bottom surface of vapor chamber under force convection at 10W to 15W between phase 2 and phase 3
(Run #3 and run #7) - temperature distribution
28.2 28.6 28.9 28.9 29.0 29.0 29.1 29.1 29.2
28.2 28.5 28.9 29.1 29.4 30.0 30.7 29.9 29.2
28.1 28.5 28.8 29.3 29.8 30.4 29.2
28.1 28.4 28.8 29.5 30.3 30.7 29.1
28.0 28.4 28.7 29.7 30.7 30.9 29.1
28.0 28.3 28.6 29.4 30.2 30.6 29.1
27.9 28.2 28.5 29.1 29.7 30.3 29.1
27.9 28.1 28.4 28.8 29.1 29.8 30.5 29.8 29.0
27.8 28.1 28.3 28.5 28.6 28.9 28.9 29.0 29.0
30.9 29.4 28.6 27.8
26.1 26.4 26.7 26.8 26.9 27.0 27.1 27.3 27.5
26.2 26.5 26.9 27.1 27.3 27.8 28.4 27.9 27.4
26.3 26.6 27.0 27.3 27.7 28.2 27.3
26.3 26.7 27.2 27.6 28.1 28.4 27.2
26.4 26.9 27.3 27.9 28.5 28.5 27.1
26.4 26.8 27.2 27.6 28.1 28.3 27.0
26.4 26.7 27.0 27.4 27.8 28.0 26.9
26.3 26.6 26.9 27.1 27.4 27.8 28.3 27.6 26.8
26.3 26.5 26.7 26.9 27.0 27.3 27.2 27.0 26.7
28.5 27.3 26.7 26.1
29.7 30.2 30.6 30.7 30.7 30.8 30.8 30.8 30.8
29.6 30.1 30.6 30.9 31.3 32.3 33.2 31.5 30.8
29.6 30.0 30.5 31.2 31.9 32.2 30.9
29.5 30.0 30.5 31.5 32.5 32.9 30.9
29.4 29.9 30.4 31.8 33.1 33.6 31.0
29.4 29.8 30.3 31.3 32.4 32.9 31.0
29.4 29.8 30.2 30.9 31.7 32.2 31.0
29.3 29.7 30.0 30.5 31.0 31.8 32.7 31.5 31.1
29.3 29.6 29.9 30.1 30.3 30.6 30.7 30.9 31.1
33.6 31.5 30.4 29.3
29.4 29.8 30.1 30.2 30.3 30.4 30.3 30.2 29.9
29.5 29.9 30.4 30.6 30.8 31.6 32.3 30.7 30.0
29.6 30.1 30.6 31.0 31.4 31.3 30.2
29.7 30.3 30.9 31.4 31.9 31.9 30.3
29.8 30.5 31.1 31.8 32.5 32.5 30.5
29.8 30.3 30.9 31.4 32.0 32.1 30.6
29.8 30.2 30.7 31.1 31.5 31.7 30.7
29.7 30.1 30.4 30.7 31.0 31.6 32.2 31.3 30.9
29.7 30.0 30.2 30.4 30.5 30.8 30.9 30.9 31.0
32.5 31.0 30.2 29.4
10W
15W
10W
15W
Phase 2
Phase 2 Phase 3
Phase 3
73
Figure 67. Comparison of bottom surface of vapor chamber under force convection at 20W to 40W between phase 2 and phase 3
(Run #3 and run #7) - temperature distribution
32.3 32.9 33.4 33.6 33.6 33.7 33.7 33.8 33.8
32.2 32.7 33.2 33.8 34.4 35.7 37.0 35.4 33.8
32.2 32.6 33.0 34.1 35.2 35.9 33.9
32.1 32.4 32.7 34.4 36.0 36.4 33.9
32.0 32.3 32.5 34.7 36.8 37.4 34.0
32.0 32.2 32.5 34.2 35.8 36.3 34.0
32.0 32.2 32.5 33.7 34.9 35.7 34.0
31.9 32.2 32.5 33.7 33.9 35.1 36.3 35.2 34.1
31.9 32.2 32.5 32.7 33.0 33.4 33.6 33.8 34.1
37.4 34.7 33.3 31.9
33.2 33.8 34.3 34.6 34.7 34.8 34.7 34.5 34.2
33.4 33.9 34.4 35.0 35.5 36.6 37.8 36.1 34.4
33.5 34.0 34.5 35.4 36.2 36.6 34.5
33.7 34.1 34.5 35.8 37.0 37.0 34.7
33.8 34.2 34.6 36.2 37.8 38.0 34.9
33.8 34.2 34.6 35.8 37.1 37.2 35.0
33.8 34.2 34.6 35.5 36.4 36.9 35.2
33.7 34.2 34.6 35.5 35.7 36.6 37.6 36.5 35.3
33.7 34.2 34.6 34.8 35.0 35.3 35.4 35.4 35.5
38 35.6 34.4 33.2
43.6 44.5 45.3 45.6 45.8 46.3 46.1 46.0 45.6
43.9 45.0 46.1 46.7 47.4 49.7 52.0 49.0 45.9
44.1 45.5 46.8 47.9 49.0 49.7 46.3
44.4 46.0 47.6 49.0 50.5 51.5 46.6
44.6 46.5 48.3 50.2 52.1 53.4 46.9
44.6 46.1 47.7 49.2 50.7 52.0 47.2
44.6 45.8 47.1 48.2 49.3 50.6 47.6
44.5 45.5 46.5 47.2 47.9 49.8 51.7 49.1 47.9
44.5 45.2 45.9 46.2 46.6 47.2 47.5 47.7 48.2
53.4 48.5 46.1 43.6
42.5 43.4 44.2 44.4 44.5 44.8 44.9 45.0 45.1
42.4 43.3 44.2 45.2 46.2 48.8 51.3 48.2 45.2
42.4 43.3 44.2 46.1 48.0 48.8 45.3
42.3 43.2 44.1 46.9 49.7 50.7 45.3
42.2 43.2 44.1 47.8 51.4 52.6 45.4
42.1 43.0 43.8 46.7 49.5 50.8 45.5
42.0 42.8 43.6 45.6 47.7 48.9 45.6
41.8 42.6 43.3 44.5 45.8 48.1 50.4 47.1 45.6
41.7 42.4 43.0 43.5 43.9 44.8 45.0 45.3 45.7
52.6 47.2 44.4 41.7
20W
40W
20W
40W
Phase 2
Phase 2 Phase 3
Phase 4
74
Figure 68. Comparison of top surface of vapor chamber under force convection at 10W to 15W between phase 2 and phase 3
(Run #5 and run #9) - temperature distribution
25.4 25.3 25.3 25.2 25.1 25.0 24.9 24.7 24.6
25.5 25.4 25.3 25.2 25.1 25.1 25.2 25.0 24.8
25.6 25.5 25.4 25.2 25.0 25.3 25.5 25.2 24.9
25.6 25.6 25.6 25.5 25.5 25.7 25.9 25.5 25.1
25.7 25.8 25.8 25.9 25.9 26.1 26.2 25.7 25.2
25.7 25.8 25.9 25.9 26.0 26.1 26.2 25.7 25.3
25.8 25.8 25.9 26.0 26.0 26.1 26.2 25.7 25.4
25.8 25.8 25.9 25.8 25.9 25.9 26.0 25.7 25.5
25.8 25.8 25.8 25.8 25.8 25.8 25.7 25.7 25.6
26.2 25.4 25 24.6
23.6 23.5 23.5 23.4 23.3 23.2 23.0 22.9 22.7
23.8 23.7 23.7 23.5 23.4 23.3 23.1 23.0 22.8
24.1 24.0 23.9 23.7 23.5 23.4 23.2 23.2 22.9
24.3 24.2 24.1 24.1 24.1 23.8 23.5 23.3 23.0
24.5 24.4 24.3 24.5 24.6 24.2 23.8 23.5 23.1
24.5 24.4 24.4 24.4 24.4 24.2 23.9 23.5 23.3
24.5 24.3 24.5 24.4 24.2 24.1 24.0 23.6 23.5
24.4 24.3 24.3 24.0 24.0 24.0 23.9 23.7 23.6
24.4 24.3 24.1 24.0 23.8 23.8 23.8 23.8 23.8
24.5 23.6 23.2 22.7
25.8 25.7 25.6 25.4 25.3 25.1 24.8 24.6 24.3
26.1 25.9 25.8 25.6 25.4 25.2 25.0 24.7 24.5
26.3 26.2 26.1 25.8 25.5 25.3 25.1 24.9 24.6
26.6 26.4 26.3 26.3 26.2 25.8 25.4 25.1 24.8
26.8 26.4 26.5 26.7 26.9 26.3 25.6 25.3 24.9
26.8 26.7 26.7 26.7 26.7 26.2 25.8 25.4 25.1
26.8 26.8 26.9 26.7 26.4 26.2 26.0 25.5 25.3
26.7 26.7 26.6 26.4 26.2 26.0 25.9 25.6 25.5
26.7 26.5 26.3 26.1 25.9 25.9 25.8 25.8 25.7
26.9 25.6 25.0 24.3
26.1 26.0 25.9 25.8 25.7 25.5 25.4 25.2 25.0
26.1 26.1 26.1 25.9 25.7 25.8 25.9 25.5 25.2
26.2 26.2 26.2 25.9 25.6 26.0 26.4 25.8 25.5
26.2 26.2 26.3 26.2 26.1 26.3 26.6 26.1 25.7
26.2 26.4 26.3 26.4 26.5 26.7 26.8 26.4 25.9
26.3 26.4 26.5 26.5 26.6 26.8 26.9 26.3 26.0
26.3 26.5 26.6 26.7 26.7 26.9 27.0 26.3 26.0
26.4 26.4 26.5 26.5 26.6 26.6 26.6 26.2 26.1
26.4 26.4 26.4 26.4 26.4 26.3 26.3 26.2 26.1
27 26.0 25.5 25
10W
15W
10W
15W
Phase 2
Phase 2 Phase 3
Phase 3
75
Figure 69. Comparison of top surface of vapor chamber under force convection at 20W to 40W between phase 2 and phase 3
(Run #5 and run #9) - temperature distribution
28.3 28.2 28.0 27.9 27.7 27.5 27.3 27.0 26.8
28.2 28.2 28.2 27.9 27.7 27.8 27.9 27.4 27.1
28.2 28.2 28.3 28.0 27.6 28.1 28.5 27.7 27.4
28.1 28.2 28.3 28.2 28.1 28.4 28.7 28.0 27.6
28.0 28.1 28.2 28.4 28.5 28.7 28.8 28.4 27.9
28.1 28.2 28.4 28.3 28.6 28.5 28.9 28.3 27.9
28.2 28.4 28.6 28.3 28.7 28.4 29.0 28.2 27.9
28.3 28.4 28.5 28.3 28.5 28.3 28.6 28.1 27.9
28.4 28.4 28.4 28.3 28.3 28.2 28.1 28.0 27.9
29 27.9 27.4 26.8
28.8 28.7 28.7 28.6 28.5 28.2 27.9 27.6 27.3
29.1 29.0 28.8 28.7 28.6 28.3 28.1 27.8 27.5
29.5 29.2 28.9 28.8 28.7 28.5 28.2 28.0 27.6
29.8 29.6 29.4 29.5 29.6 29.0 28.5 28.2 27.8
30.1 30.0 29.8 30.1 30.4 29.6 28.8 28.4 27.9
30.0 30.0 30.1 29.9 30.1 29.4 28.9 28.5 28.1
30.2 30.2 30.3 29.7 29.7 29.2 29.0 28.6 28.4
30.2 30.1 29.9 29.4 29.3 29.1 28.9 28.7 28.6
30.2 29.9 29.6 29.2 28.9 28.9 28.9 28.8 28.8
30.3 28.8 28.1 27.3
35.7 35.4 35.1 34.7 34.4 34.0 33.6 33.2 32.8
35.4 35.4 35.4 34.9 34.4 34.7 34.9 34.1 33.4
35.2 35.5 35.8 35.1 34.4 35.3 36.2 35.1 34.0
34.9 35.1 35.4 35.2 35.0 35.6 36.3 35.4 34.5
34.6 34.8 35.0 35.3 35.6 36.0 36.3 35.7 35.1
34.9 35.0 35.5 35.7 35.9 35.8 36.5 35.5 34.9
35.1 35.2 36.0 36.1 36.2 35.6 36.6 35.3 34.9
35.4 35.4 35.8 35.8 35.9 35.5 35.9 35.1 34.8
35.6 35.6 35.6 35.5 35.5 35.3 35.1 34.9 34.7
36.6 34.7 33.8 32.8
36.6 36.4 36.2 36.0 35.8 35.2 34.5 33.9 33.2
37.0 36.9 36.9 36.5 36.0 35.4 34.8 34.2 33.5
37.3 37.5 37.6 36.9 36.2 35.7 35.1 34.5 33.8
37.7 37.6 37.6 37.5 37.4 36.3 35.3 34.7 34.1
38.0 37.8 37.5 38.1 38.6 37.0 35.4 34.9 34.4
38.1 37.8 38.1 38.0 38.0 36.7 35.7 35.1 34.9
38.2 37.8 38.6 38.0 37.3 36.4 36.0 35.2 34.9
38.3 37.8 37.9 37.3 36.7 36.1 35.9 35.4 35.2
38.4 37.8 37.2 36.6 36.0 35.9 35.7 35.6 35.4
38.6 35.9 34.6 33.2
40W
20W
40W
20W
Phase 3
Phase 3 Phase 2
Phase 2
76
Figure 70. Comparison of bottom surface of vapor chamber under force convection at 10W to 15W between phase 2 and phase 3
(Run #5 and run #9) - temperature distribution
27.0 27.4 27.7 27.7 27.8 27.8 27.9 27.9 28.0
27.0 27.3 27.7 27.9 28.2 28.8 29.5 28.7 28.0
26.9 27.3 27.6 28.1 28.6 29.2 28.0
26.9 27.2 27.6 28.3 29.1 29.5 27.9
26.8 27.2 27.5 28.5 29.5 29.7 27.9
26.8 27.1 27.4 28.2 29.0 29.4 27.9
26.7 27.0 27.3 27.9 28.5 29.1 27.9
26.7 26.9 27.2 27.6 27.9 28.6 29.3 28.6 27.8
26.6 26.9 27.1 27.3 27.4 27.7 27.7 27.8 27.8
29.7 28.2 27.4 26.6
25.6 25.9 26.2 26.3 26.4 26.5 26.6 26.8 27.0
25.7 26.0 26.4 26.6 26.8 27.3 27.9 27.4 26.9
25.8 26.1 26.5 26.8 27.2 27.7 26.8
25.8 26.2 26.7 27.1 27.6 27.9 26.7
25.9 26.4 26.8 27.4 28.0 28.0 26.6
25.9 26.3 26.7 27.1 27.6 27.8 26.5
25.9 26.2 26.5 26.9 27.3 27.5 26.4
25.8 26.1 26.4 26.6 26.9 27.3 27.8 27.1 26.3
25.8 26.0 26.2 26.4 26.5 26.8 26.7 26.5 26.2
28 26.8 26.2 25.6
28.5 29.0 29.4 29.5 29.5 29.6 29.6 29.6 29.6
28.4 28.9 29.4 29.7 30.1 31.1 32.0 30.3 29.6
28.4 28.8 29.3 30.0 30.7 31.0 29.7
28.3 28.8 29.3 30.3 31.3 31.7 29.7
28.2 28.7 29.2 30.6 31.9 32.4 29.8
28.2 28.6 29.1 30.1 31.2 31.7 29.8
28.2 28.6 29.0 29.7 30.5 31.0 29.8
28.1 28.5 28.8 29.3 29.8 30.6 31.5 30.3 29.9
28.1 28.4 28.7 28.9 29.1 29.4 29.5 29.7 29.9
32.4 30.3 29.2 28.1
28.9 29.3 29.6 29.7 29.8 29.9 29.8 29.7 29.4
29.0 29.4 29.9 30.1 30.3 31.1 31.8 30.2 29.5
29.1 29.6 30.1 30.5 30.9 30.8 29.7
29.2 29.8 30.4 30.9 31.4 31.4 29.8
29.3 30.0 30.6 31.3 32.0 32.0 30.0
29.3 29.8 30.4 30.9 31.5 31.6 30.1
29.3 29.7 30.2 30.6 31.0 31.2 30.2
29.2 29.6 29.9 30.2 30.5 31.1 31.7 30.8 30.4
29.2 29.5 29.7 29.9 30.0 30.3 30.4 30.4 30.5
32 30.5 29.7 28.9
15W
10W
15W
10W
Phase 2
Phase 2 Phase 3
Phase 3
77
Figure 71. Comparison of bottom surface of vapor chamber under force convection at 20W to 40W between phase 2 and phase 3
(Run #5 and run #9) - temperature distribution
31.1 31.7 32.2 32.4 32.4 32.5 32.5 32.6 32.6
31.0 31.5 32.0 32.6 33.2 34.5 35.8 34.2 32.6
31.0 31.4 31.8 32.9 34.0 34.7 32.7
30.9 31.2 31.5 33.2 34.8 35.2 32.7
30.8 31.1 31.3 33.5 35.6 36.2 32.8
30.8 31.0 31.3 33.0 34.6 35.1 32.8
30.8 31.0 31.3 32.5 33.7 34.5 32.8
30.7 31.0 31.3 32.5 32.7 33.9 35.1 34.0 32.9
30.7 31.0 31.3 31.5 31.8 32.2 32.4 32.6 32.9
36.2 33.5 32.1 30.7
32.7 33.3 33.8 34.1 34.2 34.3 34.2 34.0 33.7
32.9 33.4 33.9 34.5 35.0 36.1 37.3 35.6 33.9
33.0 33.5 34.0 34.9 35.7 36.1 34.0
33.2 33.6 34.0 35.3 36.5 36.5 34.2
33.3 33.7 34.1 35.7 37.3 37.5 34.4
33.3 33.7 34.1 35.3 36.6 36.7 34.5
33.3 33.7 34.1 35.0 35.9 36.4 34.7
33.2 33.7 34.1 35.0 35.2 36.1 37.1 36.0 34.8
33.2 33.7 34.1 34.3 34.5 34.8 34.9 34.9 35.0
37.5 35.1 33.9 32.7
41.3 42.2 43.0 43.2 43.3 43.6 43.7 43.8 43.9
41.2 42.1 43.0 44.0 45.0 47.6 50.1 47.0 44.0
41.2 42.1 43.0 44.9 46.8 47.6 44.1
41.1 42.0 42.9 45.7 48.5 49.5 44.1
41.0 42.0 42.9 46.6 50.2 51.4 44.2
40.9 41.8 42.6 45.5 48.3 49.6 44.3
40.8 41.6 42.4 44.4 46.5 47.7 44.4
40.6 41.4 42.1 43.3 44.6 46.9 49.2 45.9 44.4
40.5 41.2 41.8 42.3 42.7 43.6 43.8 44.1 44.5
51.4 46.0 43.2 40.5
43.6 44.5 45.3 45.6 45.8 46.3 46.1 46.0 45.6
43.9 45.0 46.1 46.7 47.4 49.7 52.0 49.0 45.9
44.1 45.5 46.8 47.9 49.0 49.8 46.3
44.4 46.0 47.6 49.0 50.5 51.8 46.6
44.6 46.5 48.3 50.2 52.1 53.7 46.9
44.6 46.1 47.7 49.2 50.7 52.2 47.2
44.6 45.8 47.1 48.2 49.3 50.7 47.6
44.5 45.5 46.5 47.2 47.9 49.8 51.7 49.2 47.9
44.5 45.2 45.9 46.2 46.6 47.2 47.5 47.7 48.2
53.7 48.7 46.1 43.6
20W
40W
Phase 3
Phase 3 Phase 2
Phase 2
20W
40W
Phase 3
78
CHAPTER 5
DISCUSSION OF RESULTS
5.1 Repeatability
The experiments results show that in run #2, #3, #4 and #5, the temperature is
decreasing from 1ºC to 2ºC under natural and force convection air cooling and aspect
ratio is 0.09. The repeatability of Ts, Tal, Tfm, Tfmax, Tvcm and Tvcmax were decreasing
by 2oC during the experimental run #3 compare with the experimental run #2.
Meanwhile, the repeatability of the experimental result of run #5 was also decreasing
by 1.2oC as compared with the experimental result of run #4. The insulation result
and the ambient temperature has slightly decreased by 1oC in run #3 and run #5. The
thermal resistances of Ral, Rsrvc, Rvc and Rvco in run #3 and run #5 remained
unchanged. Besides that, the thermal resistance of Rf1D was decreasing from
1.65K/W to 1.24K/W when low power input changes to high power input compared
with run #2 while the thermal resistance of Rf1D was decreasing from 0.37K/W to
0.31K/W compared with run #4. In addition, the thermal resistance of Rfvc was
decreasing from 2.00K/W to 1.61K/W in run #3 and from 0.80K/W to 0.73K/W in
run #5.
In run #6 and #7 that under natural convection and the aspect ratio is 0.05, the
repeatability of Ts, Tal, Tfm, Tfmax, Tvcm and Tvcmax were decreasing 1.5oC during the
experimental run #7 compare with the experimental run #6. Meanwhile, the
repeatability of experimental result of run #9 was also decreasing 0.5oC compare
with the experimental result of run #8. The insulation result and the ambient
79
temperature have remained unchanged in run #7 but it slightly decreases 1oC in run
#9. The thermal resistances of Ral, Rsrvc, Rvc and Rvco in run #7 and run #9 were
remaining unchanged. Besides that, the thermal resistance of Rf1D was decreasing
from 1.75K/W to 1.33K/W when low power input change to high power input
compare with the run #6 while the thermal resistance of Rf1D was kept constant
compare with the run #8. In additional, the thermal resistance of Rfvc under natural
convection was decreasing from 2.09K/W to 1.66K/W in run #7 and under force
convection was increasing from 0.79K/W to 0.81K/W in run #9.
5.2 Effect of natural or force convection (ɛ1 and ɛ2)
From Table 2, the experimental result showed that the natural convection is run #2
and #3 while force convection is run #4 and #5 with aspect ratio (ɛ1) of 0.09. The
insulation result was about 23.8oC in low power input of 10W and 26
oC at 40W in
natural convection while in forced convection was about 22.7oC in 10W and 23.2
oC
in 40W. The insulation temperature results showed that in total heat loss accounted
to about 0.2% from the sides at the power input of 10W and 0.2% at the power input
of 40W. In force convection cooling, the heat loss was negligible because most of the
heat loss was from the top of the fin heat sink.
From the experimental results, the resistance of the aluminium block is
around 0.52K/W to 0.63K/W. Under natural convection, the thermal heat spreading
resistance (Rsrvc) was around 0.16K/W to 0.17K/W. However, under force
convection the heat thermal heat spreading resistance (Rsrvc) was 0.14K/W to
0.16K/W. Besides that, the thermal resistance of the vapor chamber (Rvc) was
increasing from about 0.19K/W to 0.28K/W when the low power input to high power
input regardless of the natural or forced convection. This is due to the higher
evaporator surface temperature related with the high input power. The overall
thermal resistance of the vapor chamber (Rvco) was 0.36K/W at low power input of
10W and about 0.42K/W at high power input of 40W. The total 2-D heat spreading
thermal resistance of the fin heat sink with vapor chamber (Rfvc) varied from
2.10K/W to 0.73K/W when reduces with the power input and with natural
convection or force convection.
80
In table 3, the experimental result showed that the natural convection is run
#6 and #7 while force convection is run #8 and #9 with aspect ratio (ɛ2) of 0.05. The
insulation result was about 21.2oC in low power input of 10W and 22.8
oC at 40W in
natural convection while in force convection was about 20.5oC in 10W and 22.8
oC in
40W. The insulation temperature results showed that there total accounted about 0.3%
heat loss from the sides at the power input of 10W and 0.3% heat loss at the high
power input of 40W. In force convection cooling, the heat loss was negligible
because most of the heat loss was from the top of the fin heat sink.
From the experimental results, the resistance of the aluminium block that
under natural convection was decreasing from 0.50K/W to 0.47K/W while under
force convection was also decreasing from 0.49K/W to 0.48K/W. Under the natural
convection, the thermal heat spreading resistance (Rsrvc) was between 0.11K/W to
0.13K/W. However, under force convection the heat thermal heat spreading
resistance (Rsrvc) was 0.10K/W to 0.13K/W. Besides that, the thermal resistance of
the vapour chamber (Rvc) was increased from about 0.22K/W to 0.32K/W when the
low power input of 10W to high power input of 40W regardless of the natural or
force convection. The overall thermal resistance of the vapour chamber (Rvco) was
about 0.34K/W at low power input of 10W and about 0.45K/W at high power input
of 40W. The total 2-D heat spreading thermal resistance of the fin heat sink with
vapour chamber (Rfvc) varied from 2.24K/W to 0.81K/W when reduces with the
power input and with natural convection or force convection.
.
5.3 Effect of vapor chamber (Natural convection and ɛ1 only)
The experimental result in run #1 shows that the temperatures are uniformly
distributed from 1oC to 2
oC except on the mean surface temperature of the heating
surface (Ts) and the average temperature of the fin heat sink (Tfm). When the power
input runs at 10W, the temperature shows uniformity on Tal which is 0.7oC while the
average surface temperature of the heating surface (Ts) and the average temperature
of fin heat sink (Tfm) were 1.4oC and 1.8
oC respectively. However, when the power
input increases to 20W, the temperature uniformity of mean surface temperature of
the heating surface (Ts) increases to 2.8oC. At the same time, the Tal slightly
81
increases to 1.4oC and Tfm increases to 3.3
oC. The temperature has increased from
1.8oC at low power input of 10W to 3.3
oC at high power input of 20W. The
maximum temperature of fins heat sink (Tfmax) is higher than the average of the fin
temperature (Tfm). Based on the insulation results, the heat loss is accounted for
about 0.4% at the power input of 10W and 0.35% heat loss at 20W. The ambient
temperature (Ta) was not kept constant and varied about 0.6oC and the reason is the
surrounding area is getting cold when the power input at 20W. The heat source
surface temperature (Ts) was expected to decrease when the power input is high. The
total thermal resistance of the fin heat sink under one dimensional heat flow (Rf1D)
was decreasing from 1.83K/W to 1.62K/W. This is because of the high natural
convection of heat loss from higher surface temperature that is generated by the
environment. The thermal resistance of the aluminium block slightly decreased with
power input from 0.52K/W at 10W to 0.50K/W at 20W and the thermal heat
spreading resistance of the fin heat sink was in a range of 0.17K/W to 0.18K/W. The
total 2-D thermal heat spreading resistance of the fin heat sink (Rf2D) differed from
2.01K/W to 1.79K/W at power input 10W to 20W.
In run #2 and #3, the experimental result of the insulation result was about
23.8oC in low power input of 10W and 26
oC at 40W in natural convection. The
insulation temperature results showed that in total heat loss accounted to about 0.2%
from the sides at the power input of 10W and 0.2% at the power input of 40W. The
ambient temperature was not kept constant and the temperature result is about 23oC
at low power input of 10W and 24.3oC with high power input at 40W. The mean
surface temperature of the heating surface (Ts) was about 2.4oC in power input of
10W and 10.4oC at input power of 40W in natural cooling convection. The upper
surface of the aluminium block (Tal) of natural convection cooling is 1.4oC at power
input of 10W and 5.5oC at power input of 40W. The mean temperature of fin heat
sink (Tfm) differed between the maximum temperature of fin heat sink (Tfmax) which
is 0.8oC at 10W and 2.0
oC at 40W. The mean temperature of the fin heat sink (Tfm)
was lower than the average temperature of vapor chamber (Tvcm). Under natural
convection, the temperature difference between maximum (Tvcmax) and mean (Tvcm)
temperatures was 1.7oC at power input of 10W and 6.3
oC at power input of 40W. As
expected in the experiment, the maximum temperature of vapor chamber (Tvcmax)
82
was higher than the mean temperature of vapor chamber (Tvcm). The resistance of
the aluminium block is around 0.53K/W to 0.55K/W. Under natural convection, the
thermal heat spreading resistance (Rsrvc) was between 0.16K/W to 0.17K/W. Besides
that, the thermal resistance of the vapor chamber (Rvc) was increasing from about
0.18K/W to 0.21K/W when the low power input to high power input under natural
convection. This is due to the higher evaporator surface temperature related with the
high input power. The overall thermal resistance of the vapor chamber (Rvco) was
about 0.36K/W at low power input of 10W and about 0.37K/W at high power input
of 40W. The total 2-D heat spreading thermal resistance of the fin heat sink with
vapour chamber (Rfvc) varied from 2.10K/W to 1.61K/W when reduces with the
power input and with natural convection.
5.4 Effect of aspect ratio, ɛ (Natural and force convection)
For run #2, #3, #4 and #5, the aspect ratio is 0.09. The result shows that the mean
surface temperature of the heating surface (Ts) was about 2.4oC in power input of
10W and 10.4oC at input power of 40W in natural cooling convection. However, the
mean surface temperatures of the heating surface (Ts) that are under force convection
were about 3.5oC at 10W and 12.6
oC at 40W. The upper surface of the aluminium
block (Tal) of natural convection cooling was different with the forced convection
cooling which is 1.4oC and 1.5
oC at power input of 10W and 5.5
oC and 5.7
oC at
power input of 40W. Natural convection result has higher heat source surface
temperatures compared to forced convection. The mean temperature of fin heat sink
(Tfm) differed between the maximum temperature of fin heat sink (Tfmax) which is
0.8oC at 10W and 2.0
oC at 40W. For force convection, the mean temperature of fin
heat sink (Tfm) was also showing a difference with the maximum temperature of fin
heat sink (Tfmax) which was about 0.8oC in power input of 10W and 1.9
oC in power
input of 40W. The mean temperature of the fin heat sink (Tfm) was lower than the
average temperature of vapor chamber (Tvcm). Under natural convection, the
temperature difference between maximum (Tvcmax) and mean (Tvcm) temperatures
was 1.7oC at power input of 10W and 6.3
oC at power input of 40W. However, under
force convection the temperature difference between maximum temperature of vapor
chamber (Tvcmax) and mean temperature of vapor chamber (Tvcm) temperatures was
83
1.6oC at power input of 10W and 5.5
oC at power input of 40W. As expected in the
experiment, the maximum temperature of vapor chamber (Tvcmax) was higher than the
mean temperature of vapor chamber (Tvcm).
For run #6, #7, #8 and #9, the aspect ratio is 0.05. The mean surface
temperature of the heating surface (Ts) was about 0.2oC in power input of 10W and
1.4oC at input power of 40W in natural cooling convection. However, the mean
surface temperatures of the heating surface (Ts) that under force convection was
about 0.8oC at 10W and 2.3
oC at 40W. The upper surface of the aluminium block (Tal)
of natural convection cooling was difference with the force convection cooling which
is 2.1oC and 2.2
oC at power input of 10W and 8.2
oC and 8.8
oC at power input of
40W. The mean temperature of fin heat sink (Tfm) was difference between the
maximum temperature of fin heat sink (Tfmax) which is 1.0oC at 10W and 2.7
oC at
40W under natural and force convection. The mean temperature of the fin heat sink
(Tfm) was lower than the average temperature of vapor chamber (Tvcm). Under natural
convection, the temperature difference between maximum temperature of vapor
chamber (Tvcmax) and mean temperatures of vapor chamber (Tvcm) was 1.3oC at
power input of 10W and 4.4oC at power input of 40W. However, under force
convection the temperature difference between maximum temperature of vapor
chamber (Tvcmax) and mean temperature of vapor chamber (Tvcm) temperatures was
1.2oC at power input of 10W and 4.9
oC at power input of 40W. As expected in the
experiment, the maximum temperature of vapor chamber (Tvcmax) was higher than the
average temperature of vapor chamber (Tvcm).
84
CHAPTER 6
SUGGESTIONS FOR FUTURE STUDIES
Suggestions for future studies are:
Determine the effect of type of filling ratio and filling liquid.
Use different types of heat sink.
Use multiple heat sources
85
CHAPTER 7
CONCLUSION
The heat spreading performance of a vapor chamber was experimentally investigated.
The thermal heat spreading resistance of the fin heat sink was around 0.17K/W to
0.18K/W. The thermal heat spreading resistance of vapor chamber was kept constant
which is around 0.14K/W to 0.28K/W under natural and force convection.
Furthermore, the aspect ratio the aspect ratio of the larger heating element is almost
the same temperature to the smaller heating element under natural and force
convection. Force convection is better than natural convection air cooling.
86
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88
NOMENCLATURE
Ainsb area at base of insulation (= 35 mm x 32 mm)
Ainss area at side of insulation (= 2 x 35 mm x 15 mm)
(= 2 x 32mm x 15mm)
kins thermal conductivity of insulation. (= 0.045 W/m K)
PEH power input to electric heating element (W)
Ploss heat loss from heating element (W)
Rf heat sink thermal resistance (K/W)
Ta ambient temperature (oC)
Ts heat source temperature (oC)
Ths heat spreader temperature (oC)
Tfmax maximum temperature on fin heat sink (oC)
Tfm mean temperature of base of heat sink (oC)
Tvcmax maximum temperature of vapor chamber (oC)
Tvcm mean temperature of vapor chamber (oC)
xinsb thickness of base of insulation (= 248mm)
xside thickness of side of insulation (= 308mm)
89
APPENDICES
Table 1. Fins heat sink under natural convection
Run
# ɛ
PEH
(W)
Ta
(C)
Tinsm
(C)
Ts
(C)
Tal
(C)
Tfm
(C)
Tfmax
(C)
Ral
(K/W)
Rsrf
(K/W)
Rf
(K/W) Rf2D
(K/W)
Ploss
(W)
1 0.09
10 22.4 23.5 47.7±1.4 42.7±0.7 40.7±1.8 42.5 0.52 0.18 1.83 2.01 0.04
15 22.6 23.8 60.0±2.2 52.3±1.1 49.2±2.7 51.8 0.51 0.18 1.77 1.95 0.06
20 22.0 23.4 68.2±2.8 58.4±1.4 54.4±3.3 57.7 0.50 0.17 1.62 1.79 0.07
Table 2. Fin heat sink with vapor chamber under natural and force convection
Run
# Flow ɛ
PEH
(W)
Ta
(C)
Tinsm
(C)
Ts
(C)
Tal
(C)
Tfm
(C)
Tfmax
(C)
Tvcm
(C)
Tvcmax
(C)
Ral
(K/W)
Rf1D
(K/W)
Rsrvc (K/W
)
Rvc (K/W
)
Rvco
(K/W) Rfvc
(K/W)
Ploss
(W)
2
NC 0.09
10 23 23.8 50.4±2.4 45.1±1.4 40.5±0.8 41.3 42.3±1.7 44.0 0.530 1.75 0.17 0.18 0.35 2.10 0.02
15 22.5 24.0 62.4±3.5 54.5±2.1 47.6±1.1 48.6 50.5±2.5 52.9 0.527 1.67 0.16 0.19 0.36 2.03 0.04
20 23.4 24.5 73.2±4.8 62.7±2.7 53.8±1.2 55.0 57.6±3.1 60.7 0.523 1.52 0.16 0.19 0.35 1.87 0.05
40 24.3 26.0 115.3±10.4 93.1±5.5 74.9±2.0 76.8 83.2±6.3 89.5 0.555 1.26 0.16 0.21 0.37 1.63 0.08
3
10 22 22.8 48.4±2.4 43.1±1.4 38.5±0.8 39.3 40.3±1.7 42.0 0.530 1.65 0.17 0.18 0.35 2.00 0.02
15 21.5 23.0 60.4±3.5 52.5±2.1 45.6±1.1 46.6 48.5±2.5 50.9 0.527 1.60 0.16 0.19 0.36 1.96 0.04
20 22.4 23.5 71.2±4.8 60.7±2.7 51.8±1.2 53.0 55.6±3.1 58.7 0.523 1.47 0.16 0.19 0.35 1.82 0.04
40 23.3 25.0 113.3±10.4 91.1±5.5 72.9±2.0 74.8 81.2±6.3 87.5 0.555 1.24 0.16 0.21 0.37 1.61 0.08
90
4
FC 0.09
10 22.7 23.5 38.3±3.5 32.1±1.5 26.6±0.8 27.4 29.4±1.6 30.9 0.625 0.39 0.16 0.28 0.43 0.82 0.01
15 21.6 22.6 44.3±5.2 35.1±2.2 27.2±1.0 28.2 31.5±2.2 33.6 0.613 0.37 0.14 0.28 0.43 0.80 0.01
20 22.2 23.0 51.3±6.7 39.3±2.9 29.1±1.1 30.2 34.7±2.8 37.4 0.598 0.35 0.14 0.28 0.42 0.76 0.01
40 23.2 24.6 78.7±12.6 55.6±5.7 35.9±1.9 37.8 47.2±5.5 52.6 0.576 0.32 0.14 0.28 0.42 0.74 0.02
5
10 21.7 22.5 37.1±3.5 30.9±1.5 25.4±0.8 26.2 28.7±2.1 29.7 0.625 0.37 0.16 0.28 0.43 0.80 0.01
15 20.6 21.6 43.1±5.2 33.9±2.2 26.0±1.0 27.0 30.3±2.2 32.4 0.613 0.36 0.14 0.28 0.43 0.79 0.01
20 21.2 22.0 50.1±6.7 38.1±2.9 27.9±1.1 29.0 33.5±2.8 36.2 0.598 0.34 0.14 0.28 0.42 0.75 0.01
40 22.2 23.6 77.5±12.6 54.4±5.7 34.7±1.9 36.6 46.0±5.5 51.4 0.576 0.31 0.14 0.28 0.42 0.73 0.02
Table 3. Effect of aspect ratio between vapor chamber and heating element
Run #
Flow ɛ PEH (W)
Ta
(C)
Tinsm
(C)
Ts
(C)
Tal
(C)
Tfm
(C)
Tfmax
(C)
Tvcm
(C)
Tvcmax
(C)
Ral (K/W)
Rf1D (K/W)
Rsrvc
(K/W
)
Rvc
(K/W
)
Rvco (K/W)
Rfvc
(K/W)
Ploss (W)
6
NC 0.05
10 20.1 21.2 50.6±0.2 45.6±2.1 39.1±1.0 40.1 41.3±1.3 42.5 0.500 1.90 0.13 0.22 0.34 2.24 0.03
15 20.6 21.9 64.4±0.3 56.9±3.3 47.0±1.5 48.2 50.5±2.0 52.4 0.500 1.76 0.13 0.23 0.36 2.12 0.04
20 21.4 23.3 74.6±0.4 65.1±4.1 53.1±1.6 54.5 57.2±2.5 59.7 0.475 1.59 0.13 0.21 0.33 1.92 0.05
40 20.8 22.8 117.7±1.4 98.9±8.2 75.4±2.7 77.9 84.5±4.4 88.8 0.469 1.37 0.11 0.23 0.34 1.70 0.09
7
10 21.0 22.2 49.1±0.2 44.1±2.1 37.6±1.0 38.6 39.8±1.3 41.0 0.500 1.75 0.13 0.22 0.34 2.09 0.03
15 21.6 22.9 62.9±0.3 55.4±3.3 45.5±1.5 46.7 49.0±2.0 50.9 0.500 1.66 0.13 0.23 0.36 2.02 0.04
20 22.0 24.4 73.1±0.4 63.6±4.1 51.6±1.6 53.0 55.7±2.5 58.2 0.475 1.51 0.13 0.21 0.33 1.84 0.05
40 21.8 24.0 116.2±1.4 97.4±8.2 73.9±2.7 76.4 83.0±4.4 87.3 0.469 1.33 0.11 0.23 0.34 1.66 0.09
8 FC 0.05
10 20.1 20.5 36.0±0.8 31.1±2.2 24.2±1.0 25.1 27.3±1.2 28.5 0.485 0.41 0.12 0.32 0.44 0.84 0.01
15 20.6 21.9 43.7±1.1 36.4±3.4 26.1±1.3 27.4 31.0±1.6 32.5 0.487 0.37 0.10 0.32 0.43 0.79 0.02
20 21.4 21.7 52.4±1.3 42.6±4.5 29.4±1.6 30.9 35.6±2.4 38.0 0.490 0.40 0.12 0.31 0.43 0.83 0.03
40 20.8 22.8 81.1±2.3 62.0±8.8 35.9±2.7 38.6 48.5±4.9 53.4 0.476 0.38 0.12 0.32 0.44 0.82 0.05
91
9
10 20.5 21.2 35.5±0.8 30.6±2.2 23.7±1.0 24.6 26.8±1.2 28.0 0.485 0.36 0.12 0.32 0.44 0.79 0.01
15 20.8 21.0 43.2±1.1 35.9±3.4 25.6±1.3 26.9 30.5±1.6 32.0 0.487 0.37 0.10 0.32 0.43 0.79 0.02
20 21.8 22.0 51.9±1.3 42.1±4.5 28.9±1.6 30.4 35.1±2.4 37.5 0.490 0.37 0.12 0.31 0.43 0.81 0.03
40 21.5 22.2 79.4±2.2 62.4±9.1 35.9±2.7 38.6 48.7±5.1 53.7 0.425 0.36 0.13 0.32 0.45 0.81 0.05
Table 4. Raw data for run #1
P Time Ta Tins1 Tins2 Tins,m Ts1 Ts2 Ts3 Ts4 Ts5 Ts Ths1 Ths2 Ths3 Ths4 Ths5 Ths Tfm Tf Tf,max Ral Rsrf Rf Rf2D Ploss
10 1 22.0 22.6 22.4 22.5 24.5 24.5 24.5 24.5 24.5 24.5±0.0 24.2 24.2 24.3 24.3 24.3 24.3±0.1 24.1 24.1±0.4 24.5 0.025 0.04 0.21 0.25 0.00
10 21.4 22.5 22.5 22.5 35.8 34.2 33.3 34.9 35.2 34.6±1.3 30.6 29.8 30.0 29.4 30.3 30.0±0.6 28.3 28.3±1.6 29.9 0.455 0.16 0.69 0.85 0.02
20 21.4 22.4 22.4 22.4 38.8 37.2 36.2 37.9 38.3 37.5±1.3 33.5 32.7 32.9 32.3 33.2 32.9±0.6 31.2 31.2±1.7 32.8 0.460 0.17 0.98 1.14 0.02
30 21.5 22.3 22.4 22.4 41.0 39.4 38.4 40.1 40.4 39.7±1.3 35.6 34.7 35.0 34.4 35.3 35.0±0.6 33.2 33.2±1.7 34.8 0.470 0.17 1.17 1.33 0.03
40 21.4 22.3 22.4 22.4 42.6 40.9 40.0 41.7 42.1 41.3±1.3 37.1 36.2 36.5 35.9 36.8 36.5±0.6 34.7 34.7±1.8 36.4 0.480 0.18 1.33 1.50 0.03
50 21.4 22.4 22.5 22.5 43.7 42.1 41.1 42.8 43.2 42.4±1.3 38.2 37.3 37.7 37.0 37.9 37.6±0.6 35.8 35.8±1.8 37.5 0.480 0.18 1.44 1.61 0.03
60 21.5 22.3 22.4 22.4 44.6 42.9 41.9 43.7 44.1 43.3±1.4 39.0 38.1 38.5 37.8 38.7 38.4±0.6 36.5 36.5±1.8 38.2 0.485 0.18 1.50 1.67 0.03
70 21.5 22.4 22.6 22.5 45.4 43.6 42.7 44.5 44.9 44.1±1.4 39.8 38.9 39.2 38.5 39.4 39.2±0.6 37.2 37.2±1.8 38.9 0.490 0.18 1.57 1.74 0.03
80 21.6 22.4 22.6 22.5 45.8 44.1 43.1 44.9 45.3 44.5±1.4 40.2 39.3 39.6 39.0 39.9 39.6±0.6 37.7 37.7±1.8 39.4 0.485 0.18 1.61 1.78 0.03
90 21.5 22.5 22.6 22.6 46.2 44.5 43.5 45.3 45.7 44.9±1.4 40.6 39.7 40.0 39.3 40.3 40.0±0.7 38.1 38.1±1.8 39.8 0.490 0.18 1.66 1.83 0.04
100 21.7 22.6 22.6 22.6 46.5 44.8 43.8 45.6 46.0 45.2±1.4 40.9 40.0 40.3 39.7 40.6 40.3±0.6 38.4 38.4±1.8 40.1 0.485 0.18 1.67 1.84 0.04
110 21.7 22.6 22.7 22.7 46.8 45.1 44.1 45.9 46.3 45.5±1.4 41.2 40.3 40.6 39.9 40.9 40.6±0.7 38.6 38.6±1.8 40.4 0.490 0.18 1.69 1.87 0.04
120 21.7 22.7 22.8 22.8 47.1 45.3 44.4 46.1 46.5 45.8±1.4 41.4 40.5 40.8 40.2 41.1 40.8±0.6 38.8 38.8±1.8 40.6 0.495 0.18 1.71 1.89 0.04
130 21.6 22.7 22.7 22.7 47.3 45.5 44.6 46.3 46.7 46.0±1.4 41.6 40.6 41.0 40.3 41.3 41.0±0.7 39.0 39.0±1.8 40.8 0.500 0.18 1.74 1.92 0.04
140 21.6 22.7 22.8 22.8 47.5 45.8 44.8 46.6 47.0 46.2±1.4 41.8 40.9 41.2 40.5 41.5 41.2±0.6 39.2 39.2±1.8 41.0 0.500 0.18 1.76 1.94 0.04
150 21.7 22.8 22.8 22.8 47.8 46.0 45.0 46.8 47.2 46.4±1.4 42.0 41.1 41.4 40.7 41.7 41.4±0.6 39.4 39.4±1.8 41.2 0.505 0.18 1.77 1.95 0.04
160 21.8 22.8 22.8 22.8 48.0 46.2 45.3 47.0 47.5 46.7±1.4 42.2 41.3 41.6 40.9 41.9 41.6±0.7 39.6 39.6±1.8 41.4 0.510 0.18 1.78 1.96 0.04
170 21.8 23.0 23.0 23.0 48.2 46.4 45.5 47.3 47.7 46.9±1.4 42.4 41.5 41.8 41.1 42.1 41.8±0.6 39.8 39.8±1.9 41.6 0.510 0.19 1.80 1.98 0.04
180 21.9 23.0 23.0 23.0 48.4 46.6 45.6 47.4 47.9 47.0±1.4 42.6 41.6 42.0 41.3 42.2 42.0±0.7 40.0 40.0±1.9 41.8 0.505 0.18 1.81 1.99 0.04
190 22.0 23.0 23.0 23.0 48.6 46.8 45.8 47.6 48.0 47.2±1.4 42.7 41.8 42.1 41.4 42.4 42.1±0.7 40.1 40.1±1.8 41.9 0.515 0.18 1.81 1.99 0.04
200 22.1 23.1 23.0 23.1 48.7 46.9 45.9 47.7 48.2 47.3±1.4 42.8 41.9 42.2 41.6 42.5 42.2±0.6 40.2 40.2±1.8 42.0 0.510 0.18 1.81 1.99 0.04
210 22.6 23.2 23.2 23.2 48.8 47.0 46.0 47.8 48.3 47.4±1.4 42.9 42.0 42.3 41.7 42.6 42.3±0.6 40.3 40.3±1.8 42.1 0.510 0.18 1.77 1.95 0.04
220 23.1 23.5 23.6 23.6 49.0 47.2 46.2 48.0 48.5 47.6±1.4 43.2 42.2 42.6 41.8 42.8 42.5±0.7 40.6 40.6±1.9 42.4 0.510 0.19 1.75 1.93 0.04
230 22.6 23.5 23.6 23.6 49.0 47.2 46.3 48.0 48.5 47.7±1.4 43.2 42.3 42.6 41.9 42.9 42.6±0.7 40.6 40.6±1.8 42.4 0.510 0.18 1.80 1.98 0.04
240 22.4 23.5 23.5 23.5 49.1 47.3 46.3 48.1 48.6 47.7±1.4 43.3 42.4 42.7 42.0 43.0 42.7±0.6 40.7 40.7±1.8 42.5 0.505 0.18 1.83 2.01 0.04
15 250 23.9 23.8 23.7 23.8 53.1 50.7 49.3 51.9 52.4 51.2±1.9 45.0 43.7 44.1 43.2 44.5 44.1±0.9 41.4 41.4±2.3 43.7 0.473 0.15 1.17 1.32 0.04
260 23.0 23.8 23.7 23.8 56.1 53.5 52.0 54.8 55.4 54.1±2.1 47.5 46.1 46.5 45.5 47.0 46.5±1.0 43.6 43.6±2.5 46.0 0.503 0.16 1.37 1.53 0.05
270 23.1 24.0 23.8 23.9 57.5 54.9 53.4 56.1 56.8 55.5±2.1 48.9 47.5 47.9 46.9 48.3 47.9±1.0 45.0 45.0±2.5 47.4 0.503 0.16 1.46 1.62 0.05
280 23.2 24.0 23.9 24.0 58.3 55.7 54.3 57.0 57.7 56.3±2.0 49.8 48.3 48.8 47.8 49.2 48.8±1.0 45.8 45.8±2.5 48.2 0.500 0.16 1.50 1.67 0.05
290 22.8 24.0 24.0 24.0 58.9 56.3 54.9 57.5 58.2 56.9±2.0 50.4 48.9 49.4 48.4 49.8 49.4±1.0 46.4 46.4±2.6 48.9 0.500 0.17 1.57 1.74 0.05
300 22.9 24.1 24.0 24.1 60.0 57.3 55.8 58.6 59.2 57.9±2.1 51.2 49.7 50.2 49.1 50.6 50.2±1.1 47.1 47.1±2.6 49.6 0.517 0.17 1.61 1.78 0.05
310 22.9 24.1 23.9 24.0 60.5 57.8 56.3 59.1 59.8 58.4±2.1 51.7 50.2 50.7 49.6 51.1 50.7±1.1 47.6 47.6±2.6 50.1 0.517 0.17 1.64 1.81 0.05
320 23.0 24.1 23.9 24.0 60.9 58.2 56.7 59.5 60.2 58.8±2.1 52.1 50.6 51.1 50.0 51.5 51.1±1.1 47.9 47.9±2.6 50.5 0.517 0.17 1.66 1.83 0.05
330 22.8 24.1 23.9 24.0 61.3 58.5 57.0 59.8 60.6 59.2±2.2 52.4 50.9 51.4 50.3 51.8 51.4±1.1 48.2 48.2±2.7 50.8 0.520 0.18 1.69 1.87 0.06
340 22.8 24.1 23.9 24.0 61.5 58.7 57.2 60.0 60.8 59.4±2.2 52.6 51.1 51.6 50.5 52.0 51.6±1.1 48.3 48.3±2.6 50.9 0.520 0.17 1.70 1.87 0.06
350 23.0 24.1 24.0 24.1 61.7 58.9 57.4 60.2 60.9 59.6±2.2 52.8 51.2 51.7 50.6 52.2 51.7±1.1 48.5 48.5±2.6 51.1 0.523 0.17 1.70 1.87 0.06
360 22.6 24.1 23.9 24.0 61.9 59.1 57.6 60.4 61.1 59.8±2.2 53.0 51.4 51.9 50.8 52.3 51.9±1.1 48.7 48.7±2.7 51.4 0.523 0.18 1.74 1.92 0.06
92
370 23.1 24.2 24.0 24.1 61.9 59.1 57.6 60.4 61.2 59.8±2.2 53.0 51.4 51.9 50.8 52.4 51.9±1.1 48.7 48.7±2.7 51.4 0.523 0.18 1.71 1.89 0.06
380 23.0 24.3 24.1 24.2 62.2 59.4 57.9 60.7 61.5 60.1±2.2 53.3 51.7 52.2 51.1 52.6 52.2±1.1 49.0 49.0±2.7 51.7 0.523 0.18 1.73 1.91 0.06
390 23.1 24.5 24.2 24.4 62.3 59.5 58.0 60.9 61.6 60.2±2.2 53.4 51.9 52.4 51.2 52.8 52.3±1.1 49.1 49.1±2.7 51.8 0.523 0.18 1.73 1.91 0.06
400 22.7 24.3 24.1 24.2 62.5 59.6 58.1 61.0 61.7 60.3±2.2 53.5 52.0 52.5 51.3 52.9 52.4±1.1 49.2 49.2±2.7 51.9 0.527 0.18 1.77 1.95 0.06
410 22.5 24.2 23.9 24.1 62.5 59.7 58.1 61.0 61.8 60.3±2.2 53.6 52.0 52.5 51.4 52.9 52.5±1.1 49.2 49.2±2.7 51.9 0.520 0.18 1.78 1.96 0.06
420 22.5 24.2 23.8 24.0 62.5 59.7 58.2 61.0 61.8 60.4±2.2 53.6 52.0 52.6 51.4 53.0 52.5±1.1 49.3 49.3±2.8 52.0 0.523 0.18 1.78 1.97 0.06
430 22.5 24.1 23.7 23.9 62.5 59.6 58.1 61.0 61.7 60.3±2.2 53.6 52.0 52.5 51.4 53.0 52.5±1.1 49.3 49.3±2.7 52.0 0.520 0.18 1.79 1.97 0.06
440 22.3 24.0 23.6 23.8 62.5 59.7 58.2 61.0 61.8 60.4±2.2 53.6 52.0 52.5 51.4 53.0 52.5±1.1 49.3 49.3±2.8 52.0 0.523 0.18 1.80 1.98 0.06
450 22.6 24.0 23.6 23.8 62.1 59.3 57.8 60.6 61.4 60.0±2.2 53.4 51.9 52.3 51.2 52.7 52.3±1.1 49.2 49.2±2.7 51.8 0.510 0.18 1.77 1.95 0.06
20 460 22.5 24.0 23.6 23.8 67.2 63.7 61.8 65.4 66.3 64.5±2.7 56.1 54.3 54.9 53.5 55.4 54.8±1.3 50.9 50.9±3.3 54.2 0.485 0.17 1.42 1.59 0.06
470 22.3 23.9 23.5 23.7 68.4 64.8 62.9 66.6 67.5 65.7±2.8 57.2 55.3 56.0 54.5 56.4 55.9±1.4 51.9 51.9±3.3 55.2 0.490 0.17 1.48 1.65 0.07
480 22.3 23.8 23.5 23.7 69.1 65.6 63.6 67.3 68.4 66.4±2.8 57.9 56.1 56.7 55.2 57.2 56.6±1.4 52.6 52.6±3.3 55.9 0.490 0.17 1.52 1.68 0.07
490 22.3 23.7 23.5 23.6 69.7 66.2 64.2 67.9 69.0 67.0±2.8 58.4 56.5 57.1 55.7 57.7 57.1±1.4 53.1 53.1±3.3 56.4 0.495 0.17 1.54 1.71 0.07
500 22.3 23.8 23.5 23.7 70.3 66.7 64.7 68.5 69.6 67.5±2.8 58.9 57.0 57.6 56.2 58.1 57.6±1.4 53.5 53.5±3.4 56.8 0.498 0.17 1.56 1.73 0.07
510 22.3 23.8 23.5 23.7 70.8 67.2 65.2 69.0 70.1 68.0±2.8 59.3 57.4 58.0 56.6 58.6 58.0±1.4 54.0 54.0±3.4 57.3 0.503 0.17 1.58 1.75 0.07
520 22.4 24.0 23.6 23.8 71.2 67.6 65.5 69.3 70.5 68.4±2.9 59.7 57.7 58.4 56.9 58.9 58.3±1.4 54.2 54.2±3.4 57.6 0.503 0.17 1.59 1.76 0.07
530 22.3 23.9 23.5 23.7 71.4 67.7 65.7 69.5 70.7 68.6±2.9 59.9 57.9 58.6 57.1 59.1 58.5±1.4 54.4 54.4±3.4 57.8 0.503 0.17 1.61 1.78 0.07
540 22.7 23.8 23.4 23.6 71.5 67.9 65.9 69.7 70.9 68.7±2.8 60.0 58.0 58.7 57.2 59.2 58.6±1.4 54.6 54.6±3.4 57.9 0.505 0.17 1.59 1.76 0.07
550 22.5 23.8 23.4 23.6 71.7 68.0 66.0 69.8 71.0 68.9±2.9 60.2 58.2 58.9 57.4 59.4 58.8±1.4 54.7 54.7±3.3 58.0 0.503 0.17 1.61 1.78 0.07
560 22.1 23.8 23.4 23.6 71.8 68.1 66.1 69.9 71.1 69.0±2.9 60.2 58.2 58.9 57.5 59.4 58.9±1.4 54.8 54.8±3.4 58.1 0.505 0.17 1.63 1.80 0.07
570 22.1 23.7 23.3 23.5 71.8 68.2 66.1 70.0 71.1 69.0±2.9 60.3 58.3 59.0 57.5 59.5 58.9±1.4 54.8 54.8±3.4 58.2 0.503 0.17 1.64 1.81 0.07
580 22.4 23.7 23.2 23.5 71.5 67.9 65.9 69.7 70.9 68.7±2.8 60.1 58.2 58.8 57.4 59.3 58.8±1.4 54.7 54.7±3.3 58.0 0.498 0.17 1.62 1.78 0.07
590 21.9 23.6 23.1 23.4 71.4 67.8 65.8 69.6 70.7 68.6±2.8 60.0 58.1 58.7 57.3 59.2 58.7±1.4 54.6 54.6±3.4 57.9 0.498 0.17 1.63 1.80 0.07
600 22.0 23.6 23.1 23.4 70.9 67.3 65.4 69.1 70.2 68.2±2.8 59.7 57.8 58.4 57.0 59.0 58.4±1.4 54.4 54.4±3.3 57.7 0.490 0.17 1.62 1.79 0.07
Tf1 Tf2 Tf3 Tf4 Tf5 Tf6 Tf7 Tf8 Tf9 Tf10 Tf11 Tf12 Tf13 Tf14 Tf15 Tf16 Tf17 Tf
24.5 24.5 24.5 24.4 24.4 24.5 24.5 24.5 24.5 24.5 23.7 23.6 23.6 23.6 23.6 23.6 23.6 24.1±0.4
27.5 27.5 27.5 27.7 27.7 27.8 27.7 28.0 29.9 28.3 26.9 26.9 26.9 27.0 26.7 26.7 26.7 28.3±1.6
30.3 30.3 30.3 30.5 30.6 30.6 30.5 30.8 32.8 31.1 29.7 29.8 29.8 29.8 29.6 29.5 29.5 31.2±1.7
32.3 32.3 32.3 32.5 32.6 32.6 32.5 32.8 34.8 33.2 31.7 31.8 31.8 31.8 31.5 31.5 31.5 33.2±1.7
33.7 33.7 33.7 34.0 34.0 34.1 34.0 34.3 36.4 34.6 33.0 33.2 33.2 33.2 32.9 32.9 32.9 34.7±1.8
34.8 34.8 34.8 35.1 35.1 35.2 35.0 35.4 37.5 35.7 34.1 34.3 34.3 34.3 34.0 34.1 34.0 35.8±1.8
35.6 35.6 35.6 35.8 35.9 36.0 35.8 36.1 38.2 36.5 34.9 35.0 35.0 35.1 34.7 34.8 34.7 36.5±1.8
36.3 36.3 36.2 36.5 36.5 36.6 36.5 36.8 38.9 37.2 35.5 35.7 35.7 35.7 35.4 35.5 35.5 37.2±1.8
36.7 36.7 36.7 37.0 37.0 37.1 36.9 37.3 39.4 37.6 36.1 36.2 36.2 36.2 35.9 36.0 35.9 37.7±1.8
37.1 37.2 37.1 37.4 37.4 37.5 37.3 37.7 39.8 38.0 36.4 36.5 36.5 36.6 36.3 36.3 36.3 38.1±1.8
37.4 37.5 37.4 37.7 37.7 37.9 37.6 38.0 40.1 38.4 36.7 36.9 36.9 36.9 36.6 36.7 36.6 38.4±1.8
37.7 37.7 37.7 37.9 37.9 38.1 37.9 38.2 40.4 38.6 37.0 37.1 37.1 37.1 36.8 36.9 36.8 38.6±1.8
37.9 38.0 37.9 38.2 38.3 38.4 38.1 38.5 40.6 38.9 37.2 37.4 37.3 37.4 37.1 37.1 37.0 38.8±1.8
38.0 38.1 38.0 38.3 38.3 38.4 38.2 38.6 40.8 38.9 37.3 37.4 37.4 37.5 37.2 37.3 37.2 39.0±1.8
38.3 38.3 38.3 38.6 38.6 38.7 38.4 38.8 41.0 39.2 37.5 37.7 37.7 37.7 37.4 37.5 37.4 39.2±1.8
38.4 38.5 38.4 38.7 38.7 38.9 38.6 39.0 41.2 39.4 37.7 37.9 37.9 37.9 37.6 37.7 37.6 39.4±1.8
38.6 38.7 38.6 38.9 38.9 39.0 38.8 39.2 41.4 39.6 37.9 38.0 38.0 38.1 37.8 37.8 37.8 39.6±1.8
38.8 38.9 38.8 39.1 39.1 39.2 39.0 39.4 41.6 39.8 38.1 38.2 38.3 38.3 37.9 38.1 38.0 39.8±1.9
39.0 39.0 39.0 39.3 39.3 39.4 39.2 39.5 41.8 39.9 38.3 38.4 38.4 38.4 38.1 38.2 38.1 40.0±1.9
39.1 39.2 39.1 39.4 39.4 39.5 39.3 39.7 41.9 40.1 38.4 38.6 38.6 38.6 38.3 38.4 38.3 40.1±1.8
39.2 39.3 39.2 39.5 39.5 39.7 39.4 39.8 42.0 40.2 38.5 38.6 38.6 38.7 38.4 38.4 38.4 40.2±1.8
39.3 39.4 39.3 39.6 39.7 39.8 39.5 39.9 42.1 40.3 38.6 38.8 38.8 38.8 38.5 38.6 38.5 40.3±1.8
39.5 39.6 39.5 39.8 39.8 40.0 39.7 40.1 42.4 40.5 38.8 38.9 39.0 39.0 38.7 38.8 38.7 40.6±1.9
39.6 39.7 39.7 39.9 39.9 40.1 39.8 40.2 42.4 40.6 38.9 39.0 39.1 39.1 38.8 38.9 38.8 40.6±1.8
39.7 39.8 39.7 40.0 40.0 40.2 39.9 40.3 42.5 40.7 38.9 39.1 39.1 39.2 38.9 38.9 38.9 40.7±1.8
93
39.9 40.0 40.0 40.3 40.4 40.5 40.2 40.7 43.7 41.2 39.4 39.4 39.4 39.5 39.1 39.2 39.2 41.4±2.3
41.9 42.0 41.9 42.3 42.4 42.5 42.2 42.7 46.0 43.3 41.3 41.5 41.5 41.6 41.1 41.2 41.1 43.6±2.5
43.2 43.3 43.2 43.7 43.7 43.8 43.6 44.1 47.4 44.6 42.5 42.8 42.9 42.9 42.5 42.5 42.5 45.0±2.5
44.1 44.2 44.1 44.5 44.6 44.7 44.4 44.9 48.2 45.5 43.4 43.7 43.7 43.8 43.3 43.4 43.3 45.8±2.5
44.7 44.8 44.7 45.1 45.2 45.3 45.0 45.6 48.9 46.1 44.0 44.2 44.3 44.3 43.8 44.0 43.9 46.4±2.6
45.3 45.4 45.3 45.7 45.8 45.9 45.6 46.2 49.6 46.7 44.6 44.9 44.9 45.0 44.5 44.6 44.5 47.1±2.6
45.7 45.9 45.8 46.2 46.3 46.4 46.0 46.6 50.1 47.2 45.1 45.4 45.4 45.4 45.0 45.0 45.0 47.6±2.6
46.1 46.2 46.2 46.6 46.7 46.8 46.4 47.0 50.5 47.5 45.4 45.7 45.7 45.8 45.3 45.4 45.3 47.9±2.6
46.4 46.5 46.5 46.8 46.9 47.1 46.7 47.3 50.8 47.9 45.8 46.0 46.0 46.1 45.5 45.7 45.6 48.2±2.7
46.5 46.6 46.6 47.0 47.0 47.2 46.8 47.4 50.9 48.0 45.9 46.1 46.1 46.2 45.7 45.8 45.7 48.3±2.6
46.7 46.8 46.7 47.1 47.2 47.4 47.0 47.6 51.1 48.2 46.0 46.3 46.3 46.4 45.9 46.0 45.9 48.5±2.6
46.8 46.9 46.9 47.3 47.3 47.5 47.1 47.7 51.4 48.3 46.2 46.5 46.5 46.5 46.0 46.1 46.0 48.7±2.7
46.9 47.0 46.9 47.3 47.4 47.4 47.1 47.7 51.4 48.2 46.1 46.5 46.5 46.5 46.0 46.1 46.0 48.7±2.7
47.1 47.3 47.2 47.6 47.7 47.8 47.4 48.0 51.7 48.6 46.5 46.8 46.8 46.8 46.3 46.5 46.4 49.0±2.7
47.2 47.4 47.3 47.7 47.8 47.9 47.5 48.1 51.8 48.7 46.6 46.8 46.9 46.9 46.4 46.5 46.4 49.1±2.7
47.3 47.4 47.4 47.7 47.9 48.0 47.6 48.2 51.9 48.8 46.7 46.9 47.0 47.0 46.5 46.6 46.5 49.2±2.7
47.3 47.5 47.4 47.8 47.9 48.0 47.6 48.3 51.9 48.8 46.7 47.0 47.0 47.1 46.6 46.6 46.5 49.2±2.7
47.4 47.5 47.4 47.8 47.9 48.1 47.7 48.3 52.0 48.9 46.7 47.0 47.0 47.1 46.6 46.7 46.5 49.3±2.8
47.4 47.5 47.4 47.8 47.9 48.1 47.7 48.3 52.0 48.9 46.8 47.0 47.0 47.1 46.6 46.7 46.6 49.3±2.7
47.3 47.5 47.4 47.8 47.9 48.0 47.6 48.2 52.0 48.8 46.7 47.0 47.0 47.0 46.5 46.6 46.5 49.3±2.8
47.3 47.5 47.4 47.7 47.8 48.0 47.6 48.2 51.8 48.8 46.7 46.9 46.9 47.0 46.5 46.6 46.5 49.2±2.7
48.4 48.6 48.5 49.0 49.1 49.3 48.8 49.5 54.2 50.3 47.9 48.1 48.2 48.3 47.6 47.8 47.7 50.9±3.3
49.4 49.6 49.5 50.0 50.1 50.2 49.8 50.6 55.2 51.3 48.9 49.2 49.2 49.3 48.6 48.8 48.7 51.9±3.3
50.1 50.3 50.2 50.7 50.8 50.9 50.5 51.2 55.9 52.0 49.5 49.9 49.9 50.0 49.3 49.5 49.4 52.6±3.3
50.5 50.7 50.6 51.2 51.3 51.4 50.9 51.7 56.4 52.5 50.0 50.3 50.3 50.4 49.8 49.9 49.8 53.1±3.3
51.0 51.2 51.1 51.6 51.7 51.8 51.3 52.1 56.8 52.9 50.4 50.7 50.7 50.8 50.1 50.3 50.2 53.5±3.4
51.3 51.6 51.4 52.0 52.1 52.2 51.7 52.5 57.3 53.3 50.8 51.2 51.2 51.2 50.6 50.7 50.6 54.0±3.4
51.7 51.9 51.8 52.3 52.5 52.6 52.1 52.9 57.6 53.7 51.1 51.5 51.5 51.6 50.8 51.0 50.9 54.2±3.4
51.9 52.1 51.9 52.5 52.6 52.7 52.2 53.0 57.8 53.8 51.3 51.6 51.7 51.7 51.0 51.2 51.0 54.4±3.4
52.0 52.2 52.1 52.6 52.7 52.9 52.4 53.2 57.9 54.0 51.4 51.8 51.8 51.9 51.2 51.3 51.2 54.6±3.4
52.1 52.3 52.2 52.7 52.9 53.0 52.5 53.3 58.0 54.1 51.6 51.9 52.0 52.0 51.4 51.5 51.4 54.7±3.3
52.2 52.4 52.3 52.8 52.9 53.1 52.6 53.4 58.1 54.2 51.7 52.0 52.0 52.1 51.4 51.6 51.4 54.8±3.4
52.3 52.5 52.3 52.9 53.0 53.1 52.6 53.4 58.2 54.2 51.7 52.1 52.1 52.1 51.4 51.6 51.4 54.8±3.4
52.2 52.4 52.2 52.8 52.9 53.0 52.6 53.4 58.0 54.1 51.6 52.0 52.0 52.1 51.4 51.5 51.4 54.7±3.3
52.1 52.3 52.2 52.7 52.8 53.0 52.4 53.2 57.9 54.0 51.6 51.8 51.9 51.9 51.2 51.4 51.3 54.6±3.4
51.9 52.2 52.0 52.5 52.6 52.8 52.2 53.1 57.7 53.8 51.4 51.7 51.7 51.7 51.1 51.3 51.2 54.4±3.3
94
Table 5. Raw data for run #2
P Ti
me Ta
Tin
s1
Tin
s2
Tins
,m
Ts
1
Ts
2
Ts
3
Ts
4
Ts
5 Ts
Th
s1
Th
s2
Th
s3
Th
s4
Th
s5 Ths
Tf(
m) Tf
Tf,
max
Tvc(
m) Tvc
Tvc,
max Ral Rf
Rsr
vc
R
vc
Rf
vc
Plo
ss
Rv
co
1
0 1
22
.4 23
23.
1 23.1
27.
9
26.
5
26.
2
26.
2
27.
3
27.1±0
.9
24.
8
24.
7
24.
5 25 25
24.8
±0.3
23.
9
23.9
±0.5 24.4 23.9
23.9
±0.3 24.2
0.2
30
0.
15
0.0
3
0.
00
0.
18
0.0
0
0.0
3
10
22
.2
22.
9
22.
9 22.9
37.
8
34.
1
33.
4
33.
4
35.
4
35.6±2
.2
31.
3
30.
8
29.
6
31.
8
31.
9
30.8
±1.2
26.
9
26.9
±0.8 27.6 27.9
27.9
±1.2 29.1
0.4
85
0.
47
0.1
2
0.
11
0.
69
0.0
1
0.2
3
20
22
.4 23 23 23.0
40.
9
37.
2
36.
5
36.
5
38.
5
38.7±2
.2
34.
3
33.
7
32.
5
34.
7
34.
9
33.7
±1.2
29.
8
29.8
±0.8 30.5 30.7
30.7
±1.4 32.1
0.5
00
0.
74
0.1
4
0.
10
0.
97
0.0
1
0.2
4
30
23
.4
23.
5
23.
6 23.6
43.
5
39.
6
38.
9
38.
9 41
41.2±2
.3
36.
7
36.
1
34.
9
37.
2
37.
4
36.2
±1.3
32.
1
32.1
±0.7 32.8 33.0
33.0
±1.6 34.6
0.5
05
0.
87
0.1
6
0.
09
1.
12
0.0
2
0.2
5
40
22
.7
23.
4
23.
3 23.4
45.
5
41.
6
40.
8
40.
9
42.
9
43.2±2
.4
38.
6 38
36.
7
39.
1
39.
3
38.0
±1.3
33.
9
33.9
±0.7 34.6 34.9
34.9
±1.6 36.5
0.5
15
1.
12
0.1
6
0.
10
1.
38
0.0
2
0.2
6
50
22
.6
23.
2
22.
9 23.1
46.
9
43.
1
42.
3
42.
3
44.
4
44.6±2
.3 40
39.
4
38.
1
40.
5
40.
7
39.4
±1.3
35.
3
35.3
±0.8 36.0 36.3
36.3
±1.6 37.9
0.5
20
1.
27
0.1
6
0.
11
1.
53
0.0
2
0.2
7
60
22
.8
23.
3
23.
1 23.2
48.
1
44.
2
43.
4
43.
5
45.
5
45.8±2
.4
41.
2
40.
6
39.
2
41.
7
41.
8
40.5
±1.3
36.
3
36.3
±0.7 37.0 37.5
37.5
±1.6 39.1
0.5
25
1.
35
0.1
6
0.
12
1.
63
0.0
2
0.2
8
70
23
.6
23.
8
23.
7 23.8
49.
2
45.
3
44.
5
44.
5
46.
6
46.9±2
.4
42.
2
41.
6
40.
3
42.
7
42.
9
41.6
±1.3
37.
3
37.3
±0.7 38.0 38.6
38.6
±1.7 40.2
0.5
25
1.
37
0.1
7
0.
13
1.
66
0.0
2
0.2
9
80 23
23.
9
23.
5 23.7 50
46.
1
45.
3
45.
3
47.
5
47.7±2
.4 43
42.
4
41.
1
43.
5
43.
7
42.4
±1.3
38.
1
38.1
±0.7 38.8 39.4
39.4
±1.7 41.0
0.5
25
1.
51
0.1
7
0.
13
1.
80
0.0
2
0.2
9
90
22
.5
23.
7
23.
2 23.5
50.
5
46.
6
45.
8
45.
9 48
48.2±2
.4
43.
6 43
41.
6
44.
1
44.
2
42.9
±1.3
38.
6
38.6
±0.8 39.3 40.0
40.0
±1.7 41.7
0.5
25
1.
61
0.1
7
0.
15
1.
92
0.0
2
0.3
2
10
0
22
.9
23.
7
23.
2 23.5 51 47
46.
2
46.
3
48.
4
48.6±2
.4 44
43.
4 42
44.
5
44.
6
43.3
±1.3
39.
0
39.0
±0.8 39.7 40.5
40.5
±1.7 42.1
0.5
30
1.
61
0.1
7
0.
15
1.
92
0.0
2
0.3
2
11
0
23
.8
24.
2
23.
8 24.0
51.
4
47.
5
46.
7
46.
7
48.
8
49.1±2
.4
44.
5
43.
8
42.
5 45
45.
1
43.8
±1.3
39.
4
39.4
±0.8 40.2 40.9
40.9
±1.7 42.5
0.5
25
1.
56
0.1
7
0.
15
1.
87
0.0
2
0.3
1
12
0
22
.9
24.
2
23.
7 24.0
51.
7
47.
8 47 47
49.
2
49.4±2
.4
44.
8
44.
1
42.
8
45.
3
45.
5
44.2
±1.4
39.
7
39.7
±0.8 40.5 41.3
41.3
±1.7 42.9
0.5
20
1.
68
0.1
7
0.
16
2.
00
0.0
2
0.3
2
13
0
22
.8 24
23.
3 23.7 52
48.
1
47.
3
47.
3
49.
4
49.7±2
.4 45
44.
4 43
45.
5
45.
7
44.4
±1.4
39.
9
39.9
±0.8 40.7 41.5
41.5
±1.7 43.2
0.5
30
1.
71
0.1
7
0.
16
2.
04
0.0
2
0.3
3
14
0
22
.9 24
23.
2 23.6
52.
3
48.
3
47.
5
47.
5
49.
7
49.9±2
.4
45.
2
44.
6
43.
2
45.
7
45.
9
44.6
±1.4
40.
0
40.0
±0.8 40.8 41.7
41.7
±1.7 43.3
0.5
35
1.
71
0.1
7
0.
17
2.
04
0.0
2
0.3
3
15
0
23
.6
24.
3
23.
7 24.0
52.
5
48.
5
47.
7
47.
7
49.
8
50.1±2
.4
45.
4
44.
8
43.
4
45.
9
46.
1
44.8
±1.4
40.
2
40.2
±0.8 41.0 41.9
41.9
±1.7 43.5
0.5
35
1.
66
0.1
7
0.
17
1.
99
0.0
2
0.3
3
16
0
23
.3
24.
5
23.
8 24.2
52.
6
48.
7
47.
9
47.
9 50
50.3±2
.4
45.
6 45
43.
6
46.
1
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3 72
69.
9
73.
4
74.
5
73.
6
74.
3
73.
9
73.
8
72.
9 82
80.
9
79.
5
79.
6
76.0
±6.1
71
.1 71
70
.1
71
.7
71
.8 72
70
.1
70
.9
71
.5
71
.9
70
.3
71
.4 70
71
.5
70
.8
69
.5
68
.3
70.2
±1.9
72.
6
73.
3
71.
3
74.
6
75.
7
74.
9
75.
7
75.
3
75.
3
74.
4
83.
4
82.
3
81.
1 81
77.4
±6.1
71
.8
71
.8
70
.9
72
.4
72
.5
72
.8
70
.8
71
.6
72
.2
72
.6
71
.1
72
.2
70
.8
72
.3
71
.5
70
.2 69
70.9
±1.9
73.
5
74.
1
72.
2
75.
5
76.
5
75.
8
76.
7
76.
3
76.
3
75.
4
84.
3
83.
3
82.
2 82
78.3
±6.1
72
.9
72
.7
71
.9
73
.4
73
.6
73
.8
71
.8
72
.6
73
.3
73
.6
72
.1
73
.2
71
.8
73
.3
72
.5
71
.3
70
.1
72.0
±1.9
74.
5
75.
1
73.
2
76.
5
77.
6
76.
8
77.
7
77.
3
77.
5
76.
5
85.
4
84.
4
83.
3 83
79.3
±6.1
73
.4
73
.4
72
.4 74
74
.2
74
.4
72
.4
73
.2
73
.9
74
.3
72
.7
73
.8
72
.4 74
73
.2
71
.9
70
.7
72.6
±1.9
75.
2
75.
8 74
77.
3
78.
3
77.
6
78.
6
78.
2
78.
4
77.
4
86.
2
85.
2
84.
2
83.
9
80.1
±6.1
73
.8
73
.7
72
.8
74
.4
74
.5
74
.7
72
.7
73
.6
74
.3
74
.7
73
.1
74
.2
72
.8
74
.3
73
.5
72
.3 71
72.9
±1.9
75.
7
76.
3
74.
5
77.
8
78.
8
78.
1
79.
1
78.
7 79 78
86.
8
85.
8
84.
8
84.
4
80.7
±6.2
74 73
.9
72
.9
74
.6
74
.7
74
.9
72
.9
73
.7
74
.4
74
.8
73
.1
74
.3
72
.9
74
.5
73
.7
72
.5
71
.1
73.0
±1.9 76
76.
5
74.
8
78.
1
79.
1
78.
4
79.
5
79.
1
79.
4
78.
4
87.
1
86.
1
85.
2
84.
8
81.0
±6.2
74
.5
74
.5
73
.4
75
.1
75
.2
75
.4
73
.5
74
.3
74
.9
75
.3
73
.7
74
.9
73
.4 75
74
.3
73
.1
71
.7
73.6
±1.9
76.
5 77
75.
3
78.
6
79.
6
78.
9
79.
9
79.
6
79.
9
78.
9
87.
7
86.
7
85.
8
85.
4
81.5
±6.2
75
.1
74
.9
74
.1
75
.6
75
.8 76
73
.9
74
.8
75
.5
75
.8
74
.3
75
.4 74
75
.6
74
.7
73
.6
72
.2
74.1
±1.9 77
77.
6
75.
8
79.
2
80.
2
79.
5
80.
6
80.
2
80.
6
79.
5
88.
3
87.
3
86.
4 86
82.1
±6.3
75
.1 75
74
.1
75
.6
75
.8 76
73
.9
74
.8
75
.5
75
.9
74
.3
75
.4 74
75
.6
74
.7
73
.6
72
.2
74.1
±1.9
77.
2
77.
7
76.
1
79.
4
80.
4
79.
7
80.
8
80.
4
80.
8
79.
7
88.
5
87.
5
86.
6
86.
2
82.3
±6.2
75
.2
75
.1
74
.1
75
.7
75
.9
76
.1 74
74
.9
75
.6 76
74
.3
75
.5 74
75
.6
74
.8
73
.7
72
.2
74.2
±2.0
77.
3
77.
8
76.
2
79.
5
80.
5
79.
8
80.
9
80.
5 81
79.
9
88.
7
87.
6
86.
8
86.
3
82.5
±6.3
75
.3
75
.2
74
.2
75
.9
76
.1
76
.2
74
.2
75
.1
75
.8
76
.1
74
.5
75
.7
74
.2
75
.8
75
.1
73
.9
72
.4
74.3
±1.9
77.
4 78
76.
3
79.
6
80.
6 80
81.
1
80.
7
81.
2
80.
1
88.
9
87.
8 87
86.
5
82.6
±6.3
75
.7
75
.7
74
.7
76
.3
76
.5
76
.7
74
.6
75
.5
76
.2
76
.5 75
76
.1
74
.7
76
.3
75
.4
74
.3
72
.9
74.8
±1.9
77.
8
78.
3
76.
7 80 81
80.
3
81.
4
81.
1
81.
5
80.
5
89.
3
88.
2
87.
3
86.
9
83.0
±6.3
75
.8
75
.7
74
.8
76
.4
76
.5
76
.8
74
.6
75
.5
76
.3
76
.6 75
76
.2
74
.7
76
.3
75
.5
74
.4
72
.9
74.9
±2.0 78
78.
5
76.
9
80.
2
81.
2
80.
5
81.
7
81.
3
81.
8
80.
7
89.
5
88.
4
87.
6
87.
1
83.2
±6.3
100
Table 6. Raw data for run #4
P Ti
me Ta
Tin
s1
Tin
s2
Tins
,m
Ts
1
Ts
2
Ts
3
Ts
4
Ts
5 Ts
Th
s1
Th
s2
Th
s3
Th
s4
Th
s5 Ths
Tf(
m) Tf
Tf,
max
Tvc(
m) Tvc
Tvc,
max Ral Rf
Rsr
vc
R
vc
Rf
vc
Plo
ss
Rv
co
1
0 1
21
.8
22.
4
22.
2 22.3
30
.2
27
.2
26
.9
26
.3
28
.2
28.3±
2.0
24.
9
24.
6
24.
3
25.
1
25.
2
24.8
±0.4
23.
3
23.3
±0.6 23.8 23.5
23.5
±0.4 23.8
0.3
50
0.
15
0.0
3
0.
03
0.2
0
0.0
0
0.0
6
10
22
.7
22.
8
22.
8 22.8
38
.9
33
.5
32
.9
32
.3 35
35.6±
3.3
30.
2
29.
5
28.
4
30.
8
30.
9
29.7
±1.3
25.
0
25.0
±0.7 25.7 26.7
26.7
±1.3 27.9
0.5
95
0.
23
0.1
3
0.
17
0.5
2
0.0
1
0.2
9
20
22
.5
23.
1
22.
9 23.0
40
.3
34
.8
34
.2
33
.5
36
.3
36.9±
3.4
31.
4
30.
7
29.
5 32
32.
2
30.9
±1.4
25.
9
25.9
±0.8 26.6 27.9
27.9
±1.4 29.3
0.6
05
0.
34
0.1
4
0.
21
0.6
8
0.0
1
0.3
5
30
21
.8
22.
6
22.
3 22.5
40
.5
34
.8
34
.2
33
.6
36
.4
37.1±
3.5
31.
4
30.
7
29.
4 32
32.
2
30.8
±1.4
25.
6
25.6
±0.8 26.4 28.0
28.0
±1.4 29.4
0.6
25
0.
38
0.1
4
0.
24
0.7
6
0.0
1
0.3
8
40
22
.1
22.
5
22.
2 22.4
40
.5
34
.8
34
.1
33
.5
36
.4
37.0±
3.5
31.
4
30.
6
29.
3 32
32.
2
30.8
±1.5
25.
4
25.4
±0.8 26.2 28.0
28.0
±1.4 29.4
0.6
25
0.
33
0.1
4
0.
26
0.7
3
0.0
1
0.4
0
50
22
.8 23
22.
8 22.9
40
.9
35
.2
34
.5
33
.9
36
.8
37.4±
3.5
31.
8 31
29.
8
32.
4
32.
6
31.2
±1.4
25.
9
25.9
±0.8 26.7 28.5
28.5
±1.6 30.0
0.6
20
0.
31
0.1
6
0.
26
0.7
2
0.0
1
0.4
1
60
22
.5
23.
2
22.
8 23.0
41
.2
35
.5
34
.8
34
.2
37
.1
37.7±
3.5
32.
1
31.
3 30
32.
7
32.
9
31.5
±1.5
26.
1
26.1
±0.8 26.9 28.8
28.8
±1.6 30.3
0.6
25
0.
36
0.1
6
0.
27
0.7
8
0.0
1
0.4
2
70
21
.6
22.
6
22.
2 22.4
40
.8 35
34
.3
33
.8
36
.6
37.3±
3.5
31.
7
30.
9
29.
5
32.
3
32.
5
31.0
±1.5
25.
5
25.5
±0.8 26.3 28.4
28.4
±1.5 29.8
0.6
30
0.
39
0.1
5
0.
29
0.8
2
0.0
1
0.4
3
80
22
.4
22.
9
22.
5 22.7
40
.8
35
.1
34
.4
33
.8
36
.7
37.3±
3.5
31.
7
30.
9
29.
6
32.
3
32.
5
31.1
±1.5
25.
7
25.7
±0.8 26.4 28.4
28.4
±1.6 29.9
0.6
25
0.
33
0.1
6
0.
27
0.7
5
0.0
1
0.4
3
90
22
.9
23.
5
23.
1 23.3
41
.1
35
.5
34
.8
34
.2 37
37.7±
3.5
32.
1
31.
3 30
32.
7
32.
9
31.5
±1.5
26.
2
26.2
±0.8 27.0 28.8
28.8
±1.6 30.4
0.6
20
0.
33
0.1
6
0.
26
0.7
5
0.0
1
0.4
2
10
0
22
.4
23.
5
22.
8 23.2
41
.3
35
.6
34
.9
34
.3
37
.2
37.8±
3.5
32.
3
31.
5
30.
2
32.
9
33.
1
31.7
±1.5
26.
2
26.2
±0.8 27.0 29.0
29.0
±1.6 30.5
0.6
15
0.
38
0.1
6
0.
28
0.8
1
0.0
1
0.4
3
11
0
21
.7
22.
9
22.
2 22.6
40
.9
35
.1
34
.5
33
.9
36
.7
37.4±
3.5
31.
8 31
29.
7
32.
4
32.
6
31.2
±1.5
25.
7
25.7
±0.8 26.5 28.6
28.6
±1.5 30.1
0.6
25
0.
40
0.1
5
0.
29
0.8
4
0.0
1
0.4
4
12
0
22
.6
23.
1
22.
6 22.9
40
.8
35
.1
34
.4
33
.9
36
.7
37.4±
3.5
31.
8 31
29.
7
32.
4
32.
6
31.2
±1.5
25.
8
25.8
±0.8 26.6 28.6
28.6
±1.6 30.1
0.6
20
0.
32
0.1
6
0.
28
0.7
5
0.0
1
0.4
3
13
0
23
.2
23.
8
23.
2 23.5
41
.3
35
.6
34
.9
34
.4
37
.2
37.9±
3.5
32.
3
31.
5
30.
3
32.
9
33.
1
31.7
±1.4
26.
4
26.4
±0.8 27.2 29.0
29.0
±1.6 30.6
0.6
15
0.
32
0.1
6
0.
26
0.7
4
0.0
1
0.4
2
14
0
22
.5
23.
8 23 23.4
41
.5
35
.8
35
.1
34
.6
37
.4
38.1±
3.5
32.
5
31.
7
30.
4
33.
1
33.
3
31.9
±1.5
26.
5
26.5
±0.9 27.3 29.2
29.2
±1.6 30.7
0.6
20
0.
40
0.1
6
0.
27
0.8
2
0.0
1
0.4
3
15
0 22
23.
2
22.
4 22.8 41
35
.3
34
.6
34
.1
36
.9
37.6±
3.5 32
31.
2
29.
9
32.
6
32.
8
31.4
±1.5
25.
9
25.9
±0.8 26.7 28.8
28.8
±1.5 30.3
0.6
20
0.
39
0.1
5
0.
29
0.8
3
0.0
1
0.4
4
101
16
0
22
.6
23.
4
22.
8 23.1
41
.3
35
.5
34
.8
34
.2
37
.1
37.8±
3.6
32.
1
31.
3 30
32.
7
32.
9
31.5
±1.5
26.
1
26.1
±0.8 26.9 28.9
28.9
±1.6 30.4
0.6
30
0.
35
0.1
6
0.
28
0.7
8
0.0
1
0.4
3
17
0
23
.1
23.
9
23.
3 23.6
41
.6
35
.9
35
.2
34
.6
37
.5
38.1±
3.5
32.
5
31.
7
30.
4
33.
1
33.
3
31.9
±1.5
26.
5
26.5
±0.8 27.3 29.2
29.2
±1.6 30.8
0.6
25
0.
34
0.1
6
0.
27
0.7
7
0.0
1
0.4
3
18
0
22
.7
23.
9
23.
1 23.5
41
.8
36
.1
35
.4
34
.8
37
.7
38.3±
3.5
32.
7
31.
9
30.
6
33.
3
33.
5
32.1
±1.5
26.
6
26.6
±0.8 27.4 29.4
29.4
±1.6 30.9
0.6
25
0.
39
0.1
6
0.
28
0.8
2
0.0
1
0.4
3
1
5
19
0
22
.2
23.
5
22.
6 23.1
48
.6
40
.3
39
.4
38
.5
42
.8
43.6±
5.1
35.
5
34.
3
32.
4
36.
4
36.
6
34.5
±2.1
27.
0
27.0
±0.9 27.9 30.6
30.6
±1.9 32.5
0.6
03
0.
32
0.1
3
0.
24
0.6
9
0.0
1
0.3
7
20
0 23
23.
8
23.
2 23.5
49
.4
41
.1
40
.1
39
.3
43
.6
44.4±
5.1
36.
2
35.
1
33.
1
37.
1
37.
4
35.3
±2.2
27.
8
27.8
±0.9 28.7 31.4
31.4
±2.1 33.5
0.6
07
0.
32
0.1
4
0.
24
0.7
0
0.0
1
0.3
8
21
0
23
.3
24.
2
23.
6 23.9 50
41
.7
40
.7
39
.9
44
.2
45.0±
5.1
36.
8
35.
6
33.
7
37.
7 38
35.9
±2.2
28.
3
28.3
±0.9 29.2 32.0
32.0
±2.1 34.1
0.6
07
0.
33
0.1
4
0.
25
0.7
2
0.0
1
0.3
9
22
0
22
.4
23.
9 23 23.5
50
.1
41
.7
40
.7
39
.9
44
.2
45.0±
5.1
36.
9
35.
7
33.
7
37.
8
38.
1
35.9
±2.2
28.
1
28.1
±0.9 29.0 32.1
32.1
±2.1 34.2
0.6
07
0.
38
0.1
4
0.
27
0.7
9
0.0
1
0.4
1
23
0
22
.2
23.
4
22.
6 23.0
49
.7
41
.3
40
.2
39
.4
43
.7
44.6±
5.2
36.
4
35.
2
33.
2
37.
3
37.
6
35.4
±2.2
27.
5
27.5
±1.0 28.5 31.7
31.7
±2.1 33.8
0.6
10
0.
35
0.1
4
0.
28
0.7
7
0.0
1
0.4
2
24
0
22
.9
23.
9
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105
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6
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27 27 26 27 27 27 26 27 27 27 26 26 26 26 26 26 25 26.6
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43.
9
43.
9
44.
4
44.
5
45.
3
44.
6
52.
2 51
50.
9 50
46.8
±5.4
36
.2 36
35
.2
36
.5
36
.7
37
.1
35
.1
35
.6
36
.1
36
.8
35
.6
36
.3
34
.9
36
.7
36
.3
34
.9
33
.4
35.3
±1.9
41.
2
41.
7
42.
1
42.
6
43.
7
43.
7
44.
3
44.
3
45.
2
44.
5 52
50.
8
50.
7
49.
8
46.6
±5.4
36
.2
36
.1
35
.3
36
.5
36
.8
37
.2
35
.3
35
.6
36
.2
36
.9
35
.7
36
.4 35
36
.8
36
.4 35
33
.5
35.4
±1.9
41.
2
41.
7
42.
1
42.
5
43.
6
43.
7
44.
2
44.
4
45.
2
44.
6
52.
1
50.
9
50.
8
49.
8
46.7
±5.5
36
.9
36
.7
35
.9
37
.2
37
.4
37
.8
35
.9
36
.3
36
.9
37
.5
36
.3 37
35
.6
37
.4 37
35
.6
34
.1
36.0
±1.9
41.
7
42.
2
42.
5
43.
1
44.
2
44.
2
44.
8
44.
9
45.
7
45.
1
52.
6
51.
5
51.
3
50.
4
47.2
±5.5
36
.7
36
.5
35
.8 37
37
.3
37
.7
35
.7
36
.1
36
.7
37
.3
36
.1
36
.9
35
.4
37
.2
36
.8
35
.5
33
.9
35.8
±1.9
41.
7
42.
2
42.
5 43
44.
2
44.
2
44.
7
44.
8
45.
7 45
52.
6
51.
4
51.
3
50.
3
47.2
±5.5
36
.3
36
.1
35
.3
36
.6
36
.8
37
.2
35
.3
35
.7
36
.3 37
35
.7
36
.5
35
.1
36
.9
36
.5
35
.1
33
.6
35.4
±1.8
41.
5 42
42.
4
42.
8
43.
9 44
44.
5
44.
6
45.
5
44.
8
52.
3
51.
1 51
50.
1
46.9
±5.4
36
.2 36
35
.2
36
.5
36
.7
37
.1
35
.1
35
.6
36
.1
36
.8
35
.6
36
.3
34
.9
36
.7
36
.3 35
33
.4
35.3
±1.9
41.
2
41.
7
42.
1
42.
5
43.
6
43.
7
44.
2
44.
3
45.
3
44.
6 52
50.
8
50.
8
49.
8
46.6
±5.4
36 36 35 37 37 37 35 36 36 37 36 37 35 37 36 35 34 35.9
41. 42. 42. 43 44. 44. 44. 44. 45. 45. 52. 51. 51. 50. 47.2
109
Table 7. Raw data for run #6
P Ti
me Ta
Tin
s1
Tin
s2
Tins,
m
Ts
2
Ts
3
Ts
4 Ts
Th
s1
Th
s2
Th
s3
Th
s4
Th
s5 Ths
Tf(
m) Tf
Tf,m
ax
Tvc(
m) Tvc
Tvc,
max Ral Rf
Rsr
vc
Rv
c
Rf
vc
Plo
ss
Rv
co
1
0 1
20.
7
22.
5
21.
9 22.2
28.
2
29.
7
29.
4
29.0±
0.8
25.
2
25.
7
25.
9 25
26.
5
25.8±
0.8
23.
8
23.8±
0.6 24.4 24.5
24.5±
0.4 24.7
0.3
20
0.3
1
0.0
2
0.0
7
0.4
0
0.0
1
0.0
9
10
20.
3
21.
8
20.
8 21.3
34.
4
35.
9
35.
4
35.2±
0.8
29.
2
31.
2
31.
5
28.
3
32.
5
30.4±
2.1
23.
9
23.9±
0.9 24.8 26.5
26.5±
0.8 27.2
0.4
75
0.3
6
0.0
8
0.2
6
0.6
9
0.0
1
0.3
3
20
20.
3
21.
6
20.
6 21.1
34.
9
36.
4 36
35.7±
0.8
29.
7
31.
7 32
28.
8 33
30.9±
2.1
24.
3
24.3±
0.9 25.2 27.1
27.1±
1.0 28.0
0.4
75
0.4
0
0.0
9
0.2
8
0.7
7
0.0
1
0.3
8
30
20.
3
21.
5
20.
6 21.1
35.
1
36.
6
36.
2
35.9±
0.8
29.
9
31.
9
32.
2
28.
9
33.
2
31.1±
2.2
24.
4
24.4±
1.0 25.3 27.3
27.3±
1.0 28.3
0.4
80
0.4
1
0.1
0
0.3
0
0.8
0
0.0
1
0.4
0
40
20.
2
21.
6
20.
6 21.1
35.
3
36.
7
36.
3
36.0±
0.8 30 32
32.
4
29.
1
33.
4
31.3±
2.2
24.
6
24.6±
0.9 25.5 27.5
27.5±
1.1 28.6
0.4
75
0.4
4
0.1
1
0.3
0
0.8
4
0.0
1
0.4
1
50
20.
1
21.
5
20.
4 21.0
35.
4
36.
8
36.
4
36.1±
0.7
30.
1
32.
1
32.
4
29.
1
33.
4
31.3±
2.2
24.
5
24.5±
0.9 25.4 27.6
27.6±
1.1 28.7
0.4
85
0.4
4
0.1
1
0.3
1
0.8
6
0.0
1
0.4
2
60
20.
2
21.
5
20.
4 21.0
35.
3
36.
7
36.
3
36.0±
0.8 30
32.
1
32.
4
29.
1
33.
3
31.2±
2.1
24.
5
24.5±
0.9 25.4 27.6
27.6±
1.2 28.7
0.4
80
0.4
3
0.1
2
0.3
1
0.8
5
0.0
1
0.4
3
70
20.
2
21.
4
20.
3 20.9
35.
3
36.
7
36.
3
36.0±
0.8
29.
9 32
32.
3 29
33.
3
31.2±
2.2
24.
4
24.4±
1.0 25.3 27.5
27.5±
1.2 28.6
0.4
85
0.4
2
0.1
2
0.3
1
0.8
4
0.0
1
0.4
3
80
20.
1
21.
3
20.
2 20.8
35.
2
36.
6
36.
2
35.9±
0.7
29.
9 32
32.
3
28.
9
33.
3
31.1±
2.2
24.
4
24.4±
1.0 25.3 27.4
27.4±
1.2 28.6
0.4
80
0.4
3
0.1
2
0.3
1
0.8
5
0.0
1
0.4
3
90
20.
1
21.
3
20.
2 20.8
35.
2
36.
6
36.
2
35.9±
0.7
29.
9 32
32.
3
28.
9
33.
3
31.1±
2.2
24.
3
24.3±
0.9 25.2 27.4
27.4±
1.2 28.6
0.4
80
0.4
2
0.1
2
0.3
1
0.8
5
0.0
1
0.4
3
100
19.
9
21.
3
20.
1 20.7
35.
2
36.
6
36.
2
35.9±
0.7
29.
9 32
32.
3
28.
9
33.
3
31.1±
2.2
24.
3
24.3±
1.0 25.3 27.4
27.4±
1.2 28.6
0.4
80
0.4
4
0.1
2
0.3
1
0.8
7
0.0
1
0.4
3
110
20.
1
21.
2
20.
1 20.7
35.
1
36.
5
36.
1
35.8±
0.7
29.
8
31.
9
32.
2
28.
9
33.
2
31.1±
2.2
24.
3
24.3±
0.9 25.2 27.4
27.4±
1.2 28.6
0.4
75
0.4
2
0.1
2
0.3
2
0.8
5
0.0
1
0.4
4
120 20
21.
2 20 20.6
35.
1
36.
5
36.
1
35.8±
0.7
29.
8
31.
8
32.
1
28.
8
33.
2
31.0±
2.2
24.
2
24.2±
1.0 25.2 27.4
27.4±
1.2 28.5
0.4
80
0.4
2
0.1
2
0.3
2
0.8
5
0.0
1
0.4
3
130
20.
1
21.
2 20 20.6
35.
2
36.
6
36.
2
35.9±
0.7
29.
8
31.
9
32.
2
28.
9
33.
2
31.1±
2.2
24.
2
24.2±
1.0 25.2 27.3
27.3±
1.2 28.5
0.4
85
0.4
1
0.1
2
0.3
1
0.8
4
0.0
1
0.4
3
140
20.
2
21.
2
20.
1 20.7
35.
1
36.
5
36.
2
35.8±
0.7
29.
8
31.
9
32.
2
28.
9
33.
2
31.1±
2.2
24.
3
24.3±
0.9 25.2 27.4
27.4±
1.3 28.6
0.4
75
0.4
1
0.1
3
0.3
1
0.8
4
0.0
1
0.4
4
150 20
21.
2 20 20.6
35.
3
36.
7
36.
3
36.0±
0.8
29.
9 32
32.
3
28.
9
33.
3
31.1±
2.2
24.
3
24.3±
0.9 25.2 27.4
27.4±
1.2 28.6
0.4
90
0.4
3
0.1
2
0.3
2
0.8
6
0.0
1
0.4
4
160
19.
9
21.
2 20 20.6
35.
3
36.
8
36.
4
36.1±
0.8
29.
9 32
32.
3
28.
9
33.
4
31.2±
2.3
24.
2
24.2±
1.0 25.2 27.4
27.4±
1.2 28.6
0.4
90
0.4
3
0.1
2
0.3
2
0.8
7
0.0
1
0.4
4
170 20
21.
2
19.
9 20.6
35.
3
36.
7
36.
3
36.0±
0.8
29.
9 32
32.
2
28.
9
33.
3
31.1±
2.2
24.
2
24.2±
1.0 25.1 27.4
27.4±
1.3 28.6
0.4
90
0.4
2
0.1
3
0.3
2
0.8
6
0.0
1
0.4
5
180
20.
1
21.
1
19.
9 20.5
35.
2
36.
7
36.
3
36.0±
0.8
29.
8 32
32.
2
28.
9
33.
3
31.1±
2.2
24.
2
24.2±
1.0 25.1 27.3
27.3±
1.2 28.5
0.4
85
0.4
1
0.1
2
0.3
2
0.8
4
0.0
1
0.4
4
1
5 190
20.
8
22.
4 21 21.7 41
43.
1
42.
5
42.1±
1.1
33.
1
36.
1
36.
5
31.
8
38.
1
35.0±
3.2
25.
5
25.5±
1.3 26.7 29.3
29.3±
1.6 30.8
0.4
73
0.3
1
0.1
0
0.2
5
0.6
7
0.0
2
0.3
6
.8 .7 .9 .2 .4 .8 .8 .2 .8 .5 .3 .6 .4 .9 .6 ±1.9 7 2 5 1 2 8 8 7 1 6 4 3 4 ±5.5
110
200
21.
4 23
21.
7 22.4 42 44
43.
5
43.0±
1.0
33.
8
36.
9
37.
3
32.
5 39
35.8±
3.3
26.
0
26.0±
1.3 27.3 30.1
30.1±
1.6 31.7
0.4
83
0.3
1
0.1
1
0.2
7
0.6
9
0.0
2
0.3
8
210
20.
6
22.
6 21 21.8
42.
2
44.
3
43.
7
43.3±
1.1
34.
1
37.
2
37.
5
32.
7
39.
3
36.0±
3.3
26.
2
26.2±
1.3 27.5 30.5
30.5±
1.7 32.1
0.4
83
0.3
7
0.1
1
0.2
8
0.7
7
0.0
2
0.3
9
220 20 22
20.
3 21.2
42.
4
44.
4
43.
9
43.4±
1.0
34.
2
37.
3
37.
6
32.
8
39.
4
36.1±
3.3
26.
2
26.2±
1.3 27.5 30.6
30.6±
1.7 32.2
0.4
87
0.4
1
0.1
1
0.2
9
0.8
1
0.0
2
0.4
0
230
20.
3
22.
1
20.
4 21.3
42.
3
44.
4
43.
9
43.4±
1.1
34.
2
37.
3
37.
7
32.
8
39.
4
36.1±
3.3
26.
1
26.1±
1.3 27.4 30.7
30.7±
1.7 32.3
0.4
83
0.3
9
0.1
1
0.3
0
0.8
0
0.0
2
0.4
1
240
21.
5
23.
4
21.
8 22.6
42.
3
44.
4
43.
8
43.4±
1.1
34.
2
37.
3
37.
6
32.
7
39.
4
36.1±
3.4
26.
1
26.1±
1.3 27.4 30.6
30.6±
1.7 32.3
0.4
87
0.3
1
0.1
1
0.3
0
0.7
2
0.0
2
0.4
1
250
20.
5
22.
6
20.
8 21.7
42.
2
44.
4
43.
8
43.3±
1.1
34.
1
37.
3
37.
5
32.
7
39.
3
36.0±
3.3
26.
0
26.0±
1.3 27.3 30.6
30.6±
1.7 32.3
0.4
87
0.3
7
0.1
1
0.3
1
0.7
9
0.0
2
0.4
2
260
19.
9
22.
1
20.
2 21.2
42.
4
44.
5
43.
9
43.5±
1.1
34.
2
37.
4
37.
7
32.
9
39.
4
36.2±
3.3
26.
3
26.3±
1.3 27.6 30.7
30.7±
1.8 32.4
0.4
87
0.4
3
0.1
2
0.2
9
0.8
3
0.0
2
0.4
1
270
20.
4
22.
1
20.
3 21.2 43
45.
1
44.
6
44.1±
1.1
34.
8 38
38.
3
33.
5
40.
1
36.8±
3.3
27.
2
27.2±
1.4 28.5 31.3
31.3±
1.8 33.1
0.4
83
0.4
5
0.1
2
0.2
8
0.8
5
0.0
2
0.4
0
280
21.
8
23.
5 22 22.8
42.
8
44.
9
44.
3
43.9±
1.1
34.
6
37.
8
38.
1
33.
3
39.
9
36.6±
3.3
26.
6
26.6±
1.3 27.9 31.2
31.2±
1.6 32.8
0.4
83
0.3
2
0.1
1
0.3
1
0.7
3
0.0
2
0.4
1
290
20.
2
22.
6
20.
7 21.7
42.
5
44.
6 44
43.6±
1.1
34.
3
37.
5
37.
8
32.
9
39.
6
36.3±
3.4
26.
1
26.1±
1.4 27.4 30.8
30.8±
1.6 32.4
0.4
87
0.3
9
0.1
1
0.3
2
0.8
1
0.0
2
0.4
2
300
19.
5 22
20.
1 21.1
42.
3
44.
4
43.
9
43.4±
1.1
34.
2
37.
4
37.
6
32.
8
39.
4
36.1±
3.3
26.
2
26.2±
1.3 27.5 30.8
30.8±
1.8 32.5
0.4
83
0.4
5
0.1
2
0.3
0
0.8
7
0.0
2
0.4
2
310
21.
4
23.
2
21.
4 22.3
43.
1
45.
2
44.
6
44.2±
1.1
34.
9 38
38.
3
33.
5
40.
1
36.8±
3.3
27.
0
27.0±
1.4 28.3 31.4
31.4±
1.8 33.1
0.4
90
0.3
7
0.1
2
0.2
9
0.7
8
0.0
2
0.4
1
320
21.
3
23.
3
21.
5 22.4
42.
7
44.
8
44.
3
43.8±
1.1
34.
5
37.
7 38
33.
2
39.
8
36.5±
3.3
26.
3
26.3±
1.3 27.6 31.1
31.1±
1.7 32.7
0.4
83
0.3
3
0.1
1
0.3
2
0.7
6
0.0
2
0.4
3
330
19.
9
22.
2
20.
2 21.2
42.
3
44.
4
43.
8
43.4±
1.1
34.
1
37.
3
37.
5
32.
7
39.
4
36.1±
3.4
25.
8
25.8±
1.3 27.1 30.7
30.7±
1.6 32.3
0.4
87
0.3
9
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1
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3
0.8
3
0.0
2
0.4
3
340
21.
5 23
21.
4 22.2
42.
6
44.
7
44.
1
43.7±
1.1
34.
3
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5
37.
8
32.
9
39.
6
36.3±
3.4
26.
5
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1.4 27.8 30.9
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1.9 32.7
0.4
93
0.3
3
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2
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9
0.7
5
0.0
2
0.4
2
350
21.
1
23.
8
22.
1 23.0
43.
2
45.
3
44.
7
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1.1
34.
9
38.
1
38.
4
33.
6
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2
36.9±
3.3
27.
0
27.0±
1.4 28.3 31.4
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1.7 33.1
0.4
90
0.3
9
0.1
1
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0
0.8
0
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2
0.4
1
360
20.
6
22.
8
20.
9 21.9
42.
6
44.
7
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1
43.7±
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34.
4
37.
6
37.
9 33
39.
7
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3.4
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1
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1.3 27.4 31.0
31.0±
1.6 32.5
0.4
87
0.3
7
0.1
0
0.3
2
0.7
9
0.0
2
0.4
3
2
0 370
20.
7
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4
20.
9 21.2
46.
1
48.
5
47.
9
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35.
5
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2
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7
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8 42
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26.
0
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1.4 27.4 29.7
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0.4
70
0.2
7
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0
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8
0.5
5
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2
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8
380
20.
7
21.
3
20.
9 21.1
48.
2
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6
50.
1
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37.
2
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1
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5
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4.3
27.
0
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1.5 28.5 31.6
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2.2 33.7
0.4
85
0.3
2
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1
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5
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3
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4
390
20.
9
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3
20.
9 21.1
49.
1
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7
51.
1
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38.
1
42.
1
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4
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2 45
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4.4
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7
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1.5 29.2 32.7
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0.4
90
0.3
4
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1
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6
400
20.
8
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3
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9 21.1
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7
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2
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7
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38.
5
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6
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9
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6
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5
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4.5
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0
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1.5 29.5 33.5
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2.2 35.6
0.4
95
0.3
6
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0.7
4
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8
410 21
21.
4 21 21.2 50
52.
6
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1
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1.3
38.
9 43
43.
2
36.
9
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9
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4.5
28.
2
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1.5 29.7 34.0
34.0±
2.1 36.0
0.4
95
0.3
6
0.1
0
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9
0.7
5
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3
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420
21.
1
21.
6
21.
1 21.4
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5
53.
1
52.
5
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1.3
39.
3
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4
43.
6
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3
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28.
5
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1.6 30.0 34.4
34.4±
2.2 36.5
0.5
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0.3
7
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1
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0
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7
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3
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0
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21.
3
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8
21.
2 21.5
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7
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2
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7
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5
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6
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9
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5
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5
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7
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0.4
98
0.3
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8
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1
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21.
3
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8
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2 21.5
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7
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4
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8
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1.4
39.
6
43.
7 44
37.
6
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6
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4.5
28.
8
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1.6 30.3 34.8
34.8±
2.2 37.0
0.4
98
0.3
7
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1
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0
0.7
9
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3
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1
450
21.
3
21.
8
21.
2 21.5
50.
7
53.
3
52.
8
52.0±
1.3
39.
6
43.
7
43.
9
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6
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6
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4.5
28.
8
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1.6 30.3 34.9
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2.2 37.0
0.4
95
0.3
7
0.1
1
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1
0.7
9
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3
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1
460
21.
3
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9
21.
3 21.6
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7
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3
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7
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1.3
39.
6
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8
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9
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6
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6
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8
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1.6 30.3 34.9
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2.2 37.1
0.4
95
0.3
7
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1
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1
0.7
9
0.0
3
0.4
2
111
470
21.
8
22.
2
21.
5 21.9
50.
9
53.
5
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9
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1.3
39.
8
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9
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1
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8
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8
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29.
0
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2.3 37.3
0.4
95
0.3
6
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1
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0
0.7
8
0.0
3
0.4
2
480
21.
4 22
21.
4 21.7
50.
9
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5
52.
9
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1.3
39.
9 44
44.
2
37.
9
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9
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4.5
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1
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1.6 30.6 35.2
35.2±
2.3 37.4
0.4
90
0.3
8
0.1
1
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1
0.8
0
0.0
3
0.4
2
490
21.
8
22.
1
21.
3 21.7
50.
9
53.
5
52.
9
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1.3
39.
9 44
44.
2
37.
9
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9
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1
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1.6 30.6 35.2
35.2±
2.2 37.4
0.4
90
0.3
6
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1
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1
0.7
8
0.0
3
0.4
2
500
21.
4
22.
1
21.
4 21.8 51
53.
6
52.
9
52.3±
1.3
40.
1
44.
1
44.
3 38
46.
9
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29.
3
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1.5 30.8 35.3
35.3±
2.2 37.5
0.4
93
0.4
0
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1
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0
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1
0.0
3
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1
510
21.
4 22
21.
3 21.7 51
53.
5
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9
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40.
1
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1
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3 38
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9
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3
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90
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0
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1
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1
520
21.
5 22
21.
3 21.7
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9
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6
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9
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40.
1
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1
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3 38
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9
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3
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0.4
90
0.3
9
0.1
1
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0
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0
0.0
3
0.4
1
530
21.
4 22
21.
3 21.7 51
53.
6 53
52.3±
1.3
40.
1
44.
1
44.
4 38
46.
9
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4.5
29.
3
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1.6 30.8 35.6
35.6±
2.4 38.0
0.4
93
0.3
9
0.1
2
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2
0.8
3
0.0
3
0.4
4
540
21.
4 22
21.
3 21.7
51.
1
53.
7
53.
1
52.4±
1.3
40.
1
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2
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4
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1
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1
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4
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2.4 38.0
0.4
90
0.4
0
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2
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1
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3
0.0
3
0.4
3
4
0 550
20.
4
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6 21 21.8
56.
2
60.
7
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7
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3
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8
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7
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5
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1.6 31.1 38.5
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3.5 41.9
0.3
51
0.2
3
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9
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2
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4
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3
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1
560 20
22.
5
20.
8 21.7
68.
9
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7 72
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1.9
53.
7
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7
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7
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6
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2
57.9±
8.3
33.
9
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2.4 36.3 43.6
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4.2 47.8
0.3
23
0.3
5
0.1
1
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4
0.7
0
0.0
5
0.3
5
570
20.
4
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6
20.
8 21.7
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6
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5
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8
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7
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7
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7
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4
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4
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8.5
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3
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2.5 37.8 45.9
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4.6 50.4
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91
0.3
7
0.1
1
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6
0.7
5
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5
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8
580
20.
7
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7
20.
7 21.7
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4
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4
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7
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3
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3
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2 52
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8
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8.4
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9
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2.6 38.4 46.9
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4.6 51.5
0.4
25
0.3
8
0.1
2
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8
0.7
7
0.0
5
0.3
9
590
20.
6
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9
20.
8 21.9
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5
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6
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6
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7
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6
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3
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2
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8.5
36.
0
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2.6 38.5 47.4
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4.7 52.0
0.4
20
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8
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2
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0.7
9
0.0
5
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0
600
20.
2
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1
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7 21.9
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2
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4
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6
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57.
1
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3
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1
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8
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8
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8.5
36.
2
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2.6 38.8 48.0
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4.8 52.7
0.4
25
0.4
0
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2
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0.8
1
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5
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1
610
20.
2
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2
20.
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1
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4
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4
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8 64
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2
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3
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8.6
36.
5
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2.7 39.1 48.3
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0.4
38
0.4
1
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2
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0
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2
0.0
5
0.4
1
620
20.
2
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3
20.
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2
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5
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7
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2.2
57.
4
64.
8 64
53.
1
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4
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8.7
36.
3
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2.7 38.9 48.4
48.4±
4.7 53.1
0.4
40
0.4
0
0.1
2
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0
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2
0.0
5
0.4
2
630
20.
2
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4
20.
6 22.0
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7
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1
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2
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2.2
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4
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8
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9
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1
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3
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36.
2
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0.4
30
0.4
0
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2
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2
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5
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2
640
20.
7
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6
20.
7 22.2
77.
7
82.
1
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3
79.9±
2.2
58.
2
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9 65
53.
8
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7
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9.0
36.
3
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2.7 39.0 48.9
48.9±
4.9 53.8
0.4
29
0.3
9
0.1
2
0.3
2
0.8
3
0.0
5
0.4
4
650
20.
5 24
21.
1 22.6
78.
5 83
82.
1
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2.3
58.
5
66.
3
65.
2 54
72.
1
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9.1
36.
5
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2.8 39.2 49.1
49.1±
5.0 54.1
0.4
43
0.4
0
0.1
3
0.3
2
0.8
4
0.0
5
0.4
4
660
20.
7
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2
21.
2 22.7
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5
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1
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1
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2.3
58.
6
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4
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1
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2
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9.1
36.
5
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2.8 39.2 49.3
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5.1 54.3
0.4
91
0.3
9
0.1
3
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2
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4
0.0
6
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5
670
20.
3 24
20.
9 22.5
80.
8
85.
4
84.
4
83.1±
2.3
58.
7
66.
6
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5
54.
3
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4
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9.1
36.
5
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2.8 39.3 49.4
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5.1 54.4
0.4
94
0.4
1
0.1
3
0.3
2
0.8
5
0.0
6
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5
680
20.
4 24
20.
8 22.4
81.
2
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9
84.
9
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2.4 59
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9
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8
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5
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8
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9.2
36.
5
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2.8 39.3 49.5
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5.1 54.6
0.4
98
0.4
0
0.1
3
0.3
3
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6
0.0
6
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5
690
20.
8
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2
20.
9 22.6 79
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5
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6
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2.3
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9
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5
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0.4
74
0.3
9
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2
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2
0.8
3
0.0
5
0.4
4
700
20.
8
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5
21.
2 22.9
78.
8
83.
3
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2
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2.3
57.
6
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2
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1
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8
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8.8
36.
0
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2.7 38.7 48.7
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4.9 53.5
0.4
76
0.3
8
0.1
2
0.3
2
0.8
2
0.0
5
0.4
4
710
21.
7
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6
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4 23.0 79
83.
6
82.
6
81.3±
2.3
57.
6
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4
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35.
9
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48.5±
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0.4
79
0.3
6
0.1
2
0.3
2
0.7
9
0.0
5
0.4
4
720
20.
8
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4
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2 22.8
78.
8
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3
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2.3
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5
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2
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8
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8.8
35.
9
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2.7 38.6 48.5
48.5±
4.9 53.4
0.4
76
0.3
8
0.1
2
0.3
2
0.8
2
0.0
5
0.4
4
112
Tf
1
Tf
2
Tf
3
Tf
4
Tf
5
Tf
6
Tf
7
Tf
8
Tf
9
Tf
10
Tf
11
Tf
12
Tf
13
Tf
14
Tf
15
Tf
16
Tf
17
Tf Tv
c1
Tv
c2
Tv
c3
Tv
c4
Tv
c5
Tv
c6
Tv
c7
Tv
c8
Tv
c9
Tv
c10
Tv
c11
Tv
c12
Tv
c13
Tv
c14
Tvc
24
.2
24
.1
24
.1
24
.3
24
.2
24
.3
24
.4
24
.4
24
.4
24
.3
23
.3
23
.5
23
.4
23
.3
23
.5
23
.4
23
.2
23.8
±0.6
24
.1
24
.1
24
.1
24
.2
24
.1
24
.4
24
.5
24
.5
24
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24.
7
24.
7
24.
7
24.
8
24.
6
24.5±0.4
24
.6
24
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24 24
.7
24
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24
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24
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24
.6
24
.8
24
.1
23
.6
24
.3
23
.9
23
.5
23
.9
23
.6
23 23.9
±0.9
25
.8
25
.8
25
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26
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26
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26
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26
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26
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25
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25.
7
27.
2
26.
8
26.
8
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1
26.5±0.8
24
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24
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24
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25 24
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24
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25 24
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25
.2
24
.4
23
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24
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24
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23
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24
.2
23
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23
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24.3
±0.9
26
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26
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26
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26
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27
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26
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26
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26
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26
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26.
1
28 27.
7
27.
5
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8
27.1±1.0
25
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24
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24
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25
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24
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24
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25
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25 25
.3
24
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23
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24
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24
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23
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24
.3
24 23
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24.4
±1.0
26
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26
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26
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26
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27
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26
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27
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26
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26
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26.
4
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3
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1
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9
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1
27.3±1.0
25
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24
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24
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25
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25
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24
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25
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25
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25
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24
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24
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24
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24
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24
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24
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24
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23
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24.6
±0.9
26
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26
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27 27
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27 27
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27
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27
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6
28.
6
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4
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3
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4
27.5±1.1
25
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24
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24
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24
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25
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25
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25
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24
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24 24
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24
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24
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24
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24
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23
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24.5
±0.9
26
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26
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27 27
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27 27
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27
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8
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7
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5
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5
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5
27.6±1.1
25
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24
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25
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25
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25
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24
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23
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24
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24
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24
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23
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24.5
±0.9
26
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26
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26
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27 27
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27 27
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27
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27
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26.
8
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7
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5
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5
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5
27.6±1.2
25
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24
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25 25
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24
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23
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24
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24
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23
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24.4
±1.0
26
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26
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26
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26
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26
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27
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26.
7
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6
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5
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5
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4
27.5±1.2
25 24
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24
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24
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25
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25 25
.3
24
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23
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24
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24
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23
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24
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24 23
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24.4
±1.0
26
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26
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26
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26
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27
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27
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27
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8
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6
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5
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4
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4
27.4±1.2
25
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24
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24
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25 25
.2
24
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23
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24
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23
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24
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24.3
±0.9
26
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26.
8
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6
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5
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5
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4
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25 24
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24
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24
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25 25
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24
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23
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24
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24
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23
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24.3
±1.0
26
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26
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26.
8
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6
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5
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5
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4
27.4±1.2
25 24
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24
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24
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25
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24
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25
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24
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23
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24
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24
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23
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24
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23
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23
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24.3
±0.9
26
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26
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26
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26
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27 27
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26.
7
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6
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5
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5
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3
27.4±1.2
25 24
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24
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24
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25
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24
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25
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24
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23
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24
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24
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23
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24
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23
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23
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24.2
±1.0
26
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26
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26
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27
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26
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27
.3
27 27
.5
26.
7
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5
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5
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4
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3
27.4±1.2
113
25 24
.4
24
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24
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25
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24
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25
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24
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23
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24
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24
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23
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24
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23
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23
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24.2
±1.0
26
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26
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26
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27
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26
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27 27
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26.
7
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5
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4
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4
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3
27.3±1.2
25 24
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24
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24
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24
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25
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24
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25
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24
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23
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24
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24
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23
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24
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23
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23
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24.3
±0.9
26
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26
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26
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27
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26
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27
.3
27 27
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26.
7
28.
6
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5
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5
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3
27.4±1.3
25 24
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24
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25
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24
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24
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25
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24
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25
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24
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23
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24
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24
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23
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24
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23
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23
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24.3
±0.9
26
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26
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26
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27
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26
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27 27
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26.
7
28.
6
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5
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5
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4
27.4±1.2
24
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24
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24
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25
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24
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24
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25
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24
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25
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24
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23
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24
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24
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23
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24
.2
23
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23
.2
24.2
±1.0
26
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26
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26
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27 27
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26.
7
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6
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5
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5
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4
27.4±1.2
24
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24
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24
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25
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24
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24
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25
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24
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25
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24
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23
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24
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24 23
.8
24
.1
23
.9
23
.2
24.2
±1.0
26
.4
26
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26
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26
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27
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26
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27
.3
27 27
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26.
7
28.
6
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5
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5
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3
27.4±1.3
24
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24
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24
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25 24
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24
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25 24
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25
.1
24
.3
23
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24
.4
24 23
.7
24
.1
23
.8
23
.2
24.2
±1.0
26
.3
26
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26
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26
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27
.3
26
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27
.3
27 27
.5
26.
7
28.
5
28.
5
28.
4
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3
27.3±1.2
26
.4
25
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25
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26
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26
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25
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26
.5
26
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26
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25
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24
.7
25
.8
25
.3
24
.9
25
.5
25
.1
24
.2
25.5
±1.3
27
.9
28 27
.7
28
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29
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28
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29 28
.7
28
.7
28.
1
30.
8
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5
30.
4
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7
29.3±1.6
27 26
.2
26
.1
27
.2
26
.8
26
.4
27
.1
26
.9
27
.3
26
.1
25
.2
26
.3
25
.9
25
.4
26 25
.6
24
.7
26.0
±1.3
28
.7
28
.8
28
.5
29
.4
30
.2
29
.3
29
.9
29
.4
29
.5
28.
8
31.
7
31.
4
31.
3
31.
5
30.1±1.6
27
.2
26
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26
.3
27
.3
27 26
.5
27
.3
27 27
.5
26
.2
25
.4
26
.6
26 25
.6
26
.3
25
.8
24
.9
26.2
±1.3
29
.1
29
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28
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29
.7
30
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29
.5
30
.2
29
.8
29
.9
29.
1
32.
1
31.
8
31.
7
31.
9
30.5±1.7
27
.2
26
.4
26
.3
27
.4
26
.9
26
.5
27
.3
27
.1
27
.5
26
.2
25
.4
26
.5
26 25
.6
26
.2
25
.8
24
.9
26.2
±1.3
29
.2
29
.3
28
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29
.8
30
.6
29
.6
30
.3
29
.9
30
.2
29.
3
32.
2
32 31.
8
32 30.6±1.7
27
.2
26
.4
26
.2
27
.4
26
.9
26
.5
27
.3
27 27
.4
26
.2
25
.4
26
.5
26 25
.6
26
.2
25
.8
24
.8
26.1
±1.3
29
.4
29
.4
29 29
.9
30
.7
29
.7
30
.4
30 30
.4
29.
4
32.
3
32.
1
31.
9
32 30.7±1.7
27
.2
26
.3
26
.2
27
.3
26
.9
26
.4
27
.3
27 27
.4
26
.1
25
.3
26
.5
26 25
.5
26
.2
25
.7
24
.8
26.1
±1.3
29
.3
29
.4
28
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29
.8
30
.7
29
.7
30
.4
30 30
.5
29.
4
32.
3
32.
1
32 32 30.6±1.7
27
.1
26
.2
26
.1
27
.2
26
.8
26
.4
27
.2
26
.9
27
.3
26
.1
25
.2
26
.4
25
.9
25
.5
26
.1
25
.6
24
.7
26.0
±1.3
29
.3
29
.3
28
.9
29
.8
30
.6
29
.7
30
.4
30 30
.5
29.
5
32.
3
32.
1
32 32 30.6±1.7
27
.3
26
.5
26
.4
27
.5
27
.1
26
.7
27
.5
27
.2
27
.6
26
.4
25
.4
26
.6
26
.1
25
.7
26
.3
25
.9
25 26.3
±1.3
29
.3
29
.4
28
.9
29
.8
30
.7
29
.7
30
.5
30
.1
30
.6
29.
6
32.
4
32.
3
32.
2
32.
2
30.7±1.8
28
.2
27
.4
27
.2
28
.3
27
.9
27
.5
28
.3
28
.1
28
.5
27
.3
26
.2
27
.3
26
.9
26
.5
27
.1
26
.7
25
.8
27.2
±1.4
29
.8
29
.9
29
.5
30
.4
31
.3
30
.3
31 30
.7
31 30.
1
33.
1
32.
9
32.
8
32.
9
31.3±1.8
114
27
.7
26
.8
26
.7
27
.8
27
.4
26
.9
27
.8
27
.5
27
.9
26
.6
25
.8
27 26
.5
26
.1
26
.7
26
.2
25
.3
26.6
±1.3
29
.9
30 29
.6
30
.4
31
.3
30
.3
31 30
.6
31 30 32.
8
32.
6
32.
5
32.
5
31.2±1.6
27
.2
26
.3
26
.1
27
.3
26
.9
26
.4
27
.2
27 27
.4
26
.1
25
.4
26
.6
26 25
.5
26
.2
25
.7
24
.7
26.1
±1.4
29
.6
29
.7
29
.2
30
.1
31 29
.9
30
.7
30
.3
30
.8
29.
8
32.
4
32.
3
32.
2
32.
1
30.8±1.6
27
.3
26
.5
26
.3
27
.4
27 26
.6
27
.4
27
.1
27
.5
26
.3
25
.4
26
.5
26 25
.6
26
.3
25
.8
24
.9
26.2
±1.3
29
.4
29
.4
29 29
.8
30
.7
29
.7
30
.5
30
.1
30
.8
29.
7
32.
5
32.
4
32.
3
32.
2
30.8±1.8
28 27
.2
27 28
.2
27
.8
27
.4
28
.1
27
.9
28
.3
27
.1
26
.1
27
.3
26
.8
26
.3
27 26
.5
25
.6
27.0
±1.4
29
.9
30 29
.6
30
.5
31
.4
30
.4
31
.1
30
.8
31
.2
30.
3
33.
1
33 32.
9
32.
9
31.4±1.8
27
.4
26
.5
26
.3
27
.5
27 26
.6
27
.5
27
.2
27
.6
26
.3
25
.5
26
.7
26
.2
25
.7
26
.4
25
.9
25 26.3
±1.3
29
.8
29
.9
29
.4
30
.3
31
.2
30
.2
30
.9
30
.5
31 30 32.
7
32.
5
32.
4
32.
3
31.1±1.7
26
.9
26 25
.9
27 26
.6
26
.1
27 26
.7
27
.1
25
.8
25
.1
26
.4
25
.8
25
.3
26 25
.5
24
.5
25.8
±1.3
29
.5
29
.5
29
.1
29
.9
30
.8
29
.8
30
.5
30
.1
30
.8
29.
7
32.
3
32.
2
32.
1
31.
9
30.7±1.6
27
.5
26
.7
26
.6
27
.7
27
.2
26
.9
27
.6
27
.4
27
.8
26
.6
25
.5
26
.7
26
.2
25
.8
26
.5
26 25
.1
26.5
±1.4
29
.4
29
.4
29 29
.9
30
.8
29
.9
30
.6
30
.3
30
.9
29.
9
32.
7
32.
6
32.
5
32.
5
30.9±1.9
28 27
.1
27 28
.2
27
.7
27
.3
28
.1
27
.8
28
.3
27 26 27
.3
26
.8
26
.3
27 26
.5
25
.6
27.0
±1.4
30 30 29
.7
30
.6
31
.4
30
.5
31
.2
30
.8
31
.3
30.
3
33.
1
33 32.
9
32.
9
31.4±1.7
27
.2
26
.4
26
.2
27
.4
26
.9
26
.5
27
.3
27 27
.4
26
.1
25
.4
26
.6
26 25
.6
26
.3
25
.8
24
.8
26.1
±1.3
29
.7
29
.8
29
.4
30
.2
31
.1
30
.1
30
.8
30
.4
31 29.
9
32.
5
32.
5
32.
3
32.
2
31.0±1.6
27 25
.5
26
.1
27
.2
26
.7
26
.3
27 26
.8
27
.4
26 25
.3
25
.9
25
.8
25
.4
26 25
.6
24
.6
26.0
±1.4
28
.4
28
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28
.4
29
.2
30
.1
29 29
.3
28
.9
27
.6
27.
9
31.
6
30.
7
30.
5
31.
7
29.7±2.1
28
.2
26
.5
27
.2
28
.4
27
.9
27
.3
28
.2
27
.9
28
.5
27 26
.3
27 26
.9
26
.4
27
.2
26
.7
25
.5
27.0
±1.5
30 30
.5
30
.1
31 32
.1
30
.8
31
.2
30
.6
29
.7
29.
4
33.
7
32.
9
32.
7
33.
7
31.6±2.2
29 27
.8
27
.7
29
.1
28
.5
28 28
.9
28
.6
29
.2
27
.6
26
.8
27
.7
27
.5
27
.1
27
.8
27
.4
26
.2
27.7
±1.5
31 31
.5
31 31
.9
33
.1
31
.8
32
.3
31
.7
31
.2
30.
5
34.
9
34.
3
34 34.
8
32.7±2.2
29
.4
28
.1
28
.1
29
.4
28
.9
28
.3
29
.2
28
.9
29
.5
28 27
.1
28
.1
27
.9
27
.4
28
.2
27
.7
26
.5
28.0
±1.5
31
.6
32 31
.5
32
.5
33
.7
32
.3
33 32
.4
32
.2
31.
3
35.
6
35.
1
34.
8
35.
4
33.5±2.2
29
.6
28
.3
28
.3
29
.6
29
.1
28
.5
29
.4
29
.2
29
.7
28
.2
27
.3
28
.2
28
.1
27
.6
28
.4
27
.9
26
.7
28.2
±1.5
32 32
.3
31
.9
32
.9
34
.1
32
.7
33
.4
32
.9
33 31.
9
36 35.
6
35.
4
35.
8
34.0±2.1
29
.9
28
.6
28
.5
29
.9
29
.3
28
.8
29
.7
29
.4
30 28
.5
27
.6
28
.5
28
.3
27
.9
28
.6
28
.2
26
.9
28.5
±1.6
32
.4
32
.6
32
.2
33
.2
34
.4
33
.1
33
.8
33
.3
33
.5
32.
4
36.
5
36.
1
35.
9
36.
2
34.4±2.2
115
30
.1
28
.8
28
.8
30
.1
29
.6
29 29
.9
29
.7
30
.2
28
.7
27
.8
28
.7
28
.5
28
.1
28
.9
28
.4
27
.1
28.7
±1.6
32
.7
32
.9
32
.4
33
.5
34
.6
33
.3
34
.1
33
.6
34 32.
8
36.
8
36.
4
36.
3
36.
5
34.6±2.2
30
.1
28
.8
28
.8
30
.2
29
.6
29 29
.9
29
.7
30
.3
28
.7
27
.8
28
.7
28
.6
28
.1
28
.9
28
.5
27
.2
28.8
±1.6
32
.8
33 32
.6
33
.6
34
.8
33
.5
34
.3
33
.8
34
.2
33 37 36.
6
36.
5
36.
6
34.8±2.2
30
.2
28
.8
28
.8
30
.2
29
.6
29 30 29
.7
30
.3
28
.7
27
.8
28
.7
28
.6
28
.1
28
.9
28
.5
27
.2
28.8
±1.6
32
.9
33
.1
32
.7
33
.7
34
.9
33
.5
34
.4
33
.9
34
.4
33.
2
37 36.
8
36.
6
36.
7
34.9±2.2
30
.2
28
.9
28
.8
30
.2
29
.6
29
.1
30 29
.8
30
.3
28
.8
27
.9
28
.8
28
.7
28
.2
29 28
.5
27
.2
28.8
±1.6
32
.9
33
.1
32
.7
33
.7
34
.9
33
.6
34
.5
34 34
.6
33.
3
37.
1
36.
8
36.
7
36.
7
34.9±2.2
30
.5
29
.2
29 30
.5
29
.9
29
.3
30
.3
30 30
.5
29 28
.1
29 28
.9
28
.4
29
.2
28
.8
27
.5
29.0
±1.5
33
.1
33
.2
32
.8
33
.9
35 33
.8
34
.6
34
.2
34
.8
33.
5
37.
3
37.
1
36.
9
36.
9
35.1±2.3
30
.5
29
.2
29
.1
30
.5
29
.9
29
.3
30
.3
30 30
.6
29 28
.2
29
.1
28
.9
28
.5
29
.2
28
.8
27
.5
29.1
±1.6
33
.3
33
.4
32
.9
34 35
.2
33
.9
34
.7
34
.2
34
.9
33.
6
37.
4
37.
1
37 37 35.2±2.3
30
.5
29
.2
29
.1
30
.5
30 29
.3
30
.3
30 30
.6
29 28
.2
29
.1
29 28
.5
29
.1
28
.8
27
.5
29.1
±1.6
33
.3
33
.4
33 34 35
.2
33
.9
34
.8
34
.3
35 33.
7
37.
4
37.
2
37 37 35.2±2.2
30
.7
29
.3
29
.3
30
.7
30
.2
29
.5
30
.5
30
.3
30
.8
29
.3
28
.5
29
.4
29
.3
28
.8
29
.3
29 27
.8
29.3
±1.5
33
.4
33
.5
33
.1
34
.2
35
.3
34 34
.9
34
.4
35
.1
33.
8
37.
5
37.
3
37.
2
37.
1
35.3±2.2
30
.7
29
.3
29
.3
30
.7
30
.1
29
.5
30
.5
30
.3
30
.8
29
.3
28
.5
29
.4
29
.3
28
.8
29
.4
29 27
.8
29.3
±1.5
33
.5
33
.5
33 34
.2
35
.4
34 35 34
.4
35
.2
33.
9
37.
5
37.
3
37.
2
37.
1
35.3±2.3
30
.7
29
.3
29
.2
30
.7
30
.1
29
.5
30
.5
30
.2
30
.8
29
.3
28
.5
29
.4
29
.2
28
.7
29
.3
29 27
.8
29.3
±1.5
33
.5
33
.5
33 34
.2
35
.3
34 35 34
.4
35
.2
33.
9
37.
5
37.
3
37.
2
37.
1
35.3±2.3
30
.7
29
.3
29
.2
30
.7
30
.1
29
.5
30
.5
30
.2
30
.8
29
.2
28
.4
29
.3
29
.2
28
.7
29
.3
29 27
.7
29.3
±1.6
33
.7
33
.8
33
.2
34
.6
35
.6
34
.3
35
.3
34
.8
35
.5
34.
2
38 37.
8
37.
8
37.
6
35.6±2.4
30
.7
29
.4
29
.3
30
.8
30
.2
29
.5
30
.6
30
.3
30
.9
29
.3
28
.4
29
.4
29
.2
28
.7
29
.3
29 27
.8
29.4
±1.6
33
.7
33
.8
33
.2
34
.6
35
.6
34
.3
35
.3
34
.8
35
.5
34.
2
38 37.
8
37.
8
37.
6
35.6±2.4
30
.8
29
.4
29
.3
30
.9
30
.3
29
.7
30
.7
30
.4
31
.1
29
.4
28
.5
29
.5
29
.4
28
.8
29
.5
29
.2
27
.9
29.5
±1.6
35
.2
35
.6
35
.1
36
.9
38
.3
36
.4
37
.2
36
.6
35
.3
35 41.
9
40.
3
40.
3
37.
6
38.5±3.5
36
.3
33
.7
33
.5
36
.2
35
.1
33
.9
35
.7
35
.2
36
.3
33
.5
32
.6
34
.1
33
.9
33
.1
34
.1
33
.6
31
.5
33.9
±2.4
39
.5
40 39
.4
41
.5
43
.3
40
.9
42 41 40
.5
39.
4
47.
8
45.
8
45.
7
46.
8
43.6±4.2
37
.7
35
.3
34
.7
37
.7
36
.6
35
.4
37
.2
36
.7
37
.8
34
.9
33
.7
36
.6
35
.2
34
.4
35
.6
35
.1
32
.8
35.3
±2.5
41
.5
42 41
.3
43
.5
45
.6
42
.8
44
.3
43
.1
43 41.
4
50.
4
48.
4
48.
2
49.
1
45.9±4.6
116
38
.3
35
.8
35
.2
38
.3
37
.1
35
.9
37
.8
37
.3
38
.4
35
.4
34
.2
37
.2
35
.8
34
.9
36
.2
35
.6
33
.3
35.9
±2.6
42
.5
43
.1
42
.3
44
.5
46
.6
43
.9
45
.4
44
.2
44
.6
42.
6
51.
5
49.
7
49.
3
50.
1
46.9±4.6
38
.5
36 35
.4
38
.5
37
.2
36 37
.9
37
.4
38
.5
35
.5
34
.4
37
.4
36 35
.1
36
.4
35
.8
33
.4
36.0
±2.6
43
.1
43
.6
42
.7
44
.9
47
.1
44
.3
45
.9
44
.8
45
.5
43.
3
52 50.
3
50 50.
4
47.4±4.7
38
.7
36
.2
35
.5
38
.8
37
.5
36
.2
38
.2
37
.7
38
.8
35
.7
34
.6
37
.7
36
.3
35
.3
36
.7
36 33
.6
36.2
±2.6
43
.6
44
.1
43
.2
45
.4
47
.7
44
.9
46
.5
45
.4
46
.4
44.
1
52.
7
51 50.
7
51 48.0±4.8
38
.7
36
.4
35
.9
39 37
.8
36
.6
38
.5
37
.9
39
.1
36 34
.9
38 36
.6
35
.6
37
.1
36
.2
33
.8
36.5
±2.7
44
.1
44
.4
43
.5
45
.7
48 45
.2
46
.9
45
.8
47 44.
6
53 51.
4
51.
2
51.
4
48.3±4.8
38
.6
36
.3
35
.8
38
.9
37
.6
36
.3
38
.3
37
.7
38
.9
35
.7
34
.7
37
.9
36
.5
35
.5
37 36
.1
33
.6
36.3
±2.7
44
.3
44
.6
43
.7
45
.9
48
.2
45
.3
47 46 47
.3
44.
8
53.
1
51.
6
51.
3
51.
4
48.4±4.7
38
.5
36
.1
35
.6
38
.8
37
.5
36
.3
38
.2
37
.6
38
.8
35
.6
34
.6
37
.8
36
.4
35
.3
36
.9
36 33
.5
36.2
±2.7
44
.3
44
.6
43
.6
45
.9
48
.2
45
.3
47 46 47
.5
45 53.
1
51.
6
51.
4
51.
3
48.4±4.8
38
.8
36
.3
35
.7
39 37
.7
36
.4
38
.4
37
.8
39 35
.8
34
.8
38 36
.6
35
.6
37
.1
36
.2
33
.6
36.3
±2.7
44
.6
44
.9
44 46
.3
48
.6
45
.7
47
.5
46
.5
47
.9
45.
4
53.
8
52.
2
52 52 48.9±4.9
38
.9
36
.5
35
.9
39
.2
37
.8
36
.5
38
.6
38 39
.2
35
.9
34
.9
38
.1
36
.7
35
.6
37
.2
36
.3
33
.7
36.5
±2.8
44
.9
45
.1
44
.1
46
.5
48
.8
45
.8
47
.7
46
.6
48
.2
45.
7
54.
1
52.
5
52.
4
52.
3
49.1±5.0
39 36
.5
35
.9
39
.2
37
.8
36
.5
38
.6
38 39
.2
35
.9
34
.8
38
.1
36
.7
35
.6
37
.2
36
.2
33
.7
36.5
±2.8
45 45
.2
44
.2
46
.5
48
.9
45
.9
47
.8
46
.8
48
.4
45.
8
54.
3
52.
7
52.
5
52.
4
49.3±5.1
39 36
.5
35
.9
39
.2
37
.9
36
.7
38
.7
38
.1
39
.3
36 35 38
.2
36
.8
35
.7
37
.3
36
.3
33
.7
36.5
±2.8
45
.1
45
.3
44
.3
46
.7
49
.1
46 47
.9
46
.9
48
.5
46 54.
4
52.
8
52.
7
52.
6
49.4±5.1
39 36
.5
35
.9
39
.3
37
.9
36
.6
38
.7
38
.1
39
.3
36 34
.9
38
.2
36
.7
35
.7
37
.2
36
.3
33
.7
36.5
±2.8
45
.2
45
.5
44
.4
46
.8
49
.2
46
.2
48
.1
47 48
.7
46.
2
54.
6
53.
1
52.
9
52.
7
49.5±5.1
38
.7
36
.3
35
.7
38
.9
37
.6
36
.4
38
.4
37
.8
39 35
.8
34
.8
37
.9
36
.5
35
.5
37 36
.1
33
.6
36.3
±2.7
44
.8
45 44 46
.3
48
.7
45
.7
47
.6
46
.6
48
.5
45.
9
53.
9
52.
6
52.
4
52.
1
49.0±5.0
38
.5
36 35
.5
38
.7
37
.4
36
.1
38
.1
37
.5
38
.7
35
.5
34
.5
37
.6
36
.2
35
.2
36
.7
35
.8
33
.3
36.0
±2.7
44
.6
44
.8
43
.8
46
.1
48
.4
45
.4
47
.4
46
.4
48
.3
45.
7
53.
5
52.
2
52.
1
51.
8
48.7±4.9
38
.4
35
.9
35
.4
38
.6
37
.3
36 38 37
.5
38
.6
35
.4
34
.3
37
.5
36
.1
35
.1
36
.6
35
.7
33
.2
35.9
±2.7
44
.5
44
.7
43
.6
46 48
.3
45
.3
47
.3
46
.3
48
.2
45.
6
53.
4
52.
1
52 51.
7
48.5±4.9
38
.4
36 35
.4
38
.6
37
.3
36 38 37
.5
38
.6
35
.4
34
.4
37
.6
36
.2
35
.1
36
.6
35
.8
33
.2
35.9
±2.7
44
.5
44
.6
43
.6
45
.9
48
.3
45
.3
47
.2
46
.3
48
.2
45.
6
53.
4
52.
1
52 51.
7
48.5±4.9
117
Table 8. Raw data of run #8
P Ti
me Ta
Tin
s1
Tin
s2
Tins
,m
Ts
2
Ts
3
Ts
4 Ts
Th
s1
Th
s2
Th
s3
Th
s4
Th
s5 Ths
Tf(
m) Tf
Tf,m
ax
Tvc(
m) Tvc
Tvc,
max Ral
Rf1
D
Rsr
vc
Rv
c
Rf
vc
Plo
ss
Rv
co
1
0 1
20.
7
22.
5
21.
9 22.2
28.
2
29.
7
29.
4
29.0±
0.8
25.
2
25.
7
25.
9 25
26.
5
25.8±
0.8
23.
8
23.8±
0.6 24.4 24.5
24.5±
0.4 24.7
0.3
20
0.3
1
0.0
2
0.0
7
0.4
0
0.0
1
0.0
9
10
20.
3
21.
8
20.
8 21.3
33.
9
35.
4
34.
9
34.7±
0.8
28.
7
30.
7 31
27.
8 32
29.9±
2.1
23.
4
23.4±
0.9 24.3 26.0
26.0±
0.8 26.7
0.4
75
0.3
1
0.0
8
0.2
6
0.6
4
0.0
1
0.3
3
20
20.
3
21.
6
20.
6 21.1
34.
4
35.
9
35.
5
35.2±
0.8
29.
2
31.
2
31.
5
28.
3
32.
5
30.4±
2.1
23.
8
23.8±
0.9 24.7 26.6
26.6±
1.0 27.5
0.4
75
0.3
5
0.0
9
0.2
8
0.7
2
0.0
1
0.3
8
30
20.
3
21.
5
20.
6 21.1
34.
6
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29.
4
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4
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7
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4
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7
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23.
9
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1.0 24.8 26.8
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1.0 27.8
0.4
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0.3
6
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0
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5
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1
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0
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20.
2
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6
20.
6 21.1
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8
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2
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8
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29.
5
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5
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0.4
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9
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1
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9
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1
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1
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20.
1
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5
20.
4 21.0
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9
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3
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9
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29.
6
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6
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9
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9
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0
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0.3
9
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1
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1
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2
60
20.
2
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5
20.
4 21.0
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8
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2
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8
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29.
5
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6
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9
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8
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0
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0.3
8
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0
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3
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20.
2
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4
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8
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2
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8
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4
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5
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9
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1
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3
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20.
1
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3
20.
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7
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1
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4
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5
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8
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3
90
20.
1
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3
20.
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7
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1
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4
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5
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8
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80
0.3
7
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0
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1
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3
100
19.
9
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3
20.
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7
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1
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29.
4
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5
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8
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8
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0.3
9
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2
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2
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1
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3
110
20.
1
21.
2
20.
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34.
6 36
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6
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3
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4
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7
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8
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0.4
75
0.3
7
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2
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2
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0
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1
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4
120 20
21.
2 20 20.6
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6 36
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6
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3
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3
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6
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7
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7
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0.4
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2
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3
130
20.
1
21.
2 20 20.6
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7
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1
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3
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4
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7
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0.4
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6
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2
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1
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9
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1
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3
140
20.
2
21.
2
20.
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6 36
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7
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3
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4
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4
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7
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8
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6
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3
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9
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4
150 20
21.
2 20 20.6
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8
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2
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8
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4
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5
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8
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0.4
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0.3
8
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2
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2
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1
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1
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4
160
19.
9
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2 20 20.6
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8
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3
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4
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5
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7
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8
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2
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2
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2
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4
170 20
21.
2
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8
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2
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4
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5
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7
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0.4
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0.3
7
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3
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2
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1
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1
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5
180
20.
1
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1
19.
9 20.5
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7
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2
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8
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3
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5
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7
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4
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8
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7
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0.4
85
0.3
6
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2
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2
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9
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1
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4
1
5 190
20.
3
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8
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8 21.3
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5
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6 42
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6
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3
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6
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0
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1
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7
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2
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200
20.
3
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6
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5
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5 43
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3
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4
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5
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5
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0.4
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2
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210
20.
3
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5
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7
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8
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2
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6
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2
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8
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7
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6
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5
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2
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9
220
20.
2
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6
20.
6 21.1
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9
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9
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4
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7
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8
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1
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3
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9
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7
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1.7 31.7
0.4
87
0.3
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0.7
7
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2
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0
230
20.
1
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5
20.
4 21.0
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8
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9
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4
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7
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8
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2
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3
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9
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1
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0
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8
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2
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1
118
240
20.
2
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5
20.
4 21.0
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8
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9
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3
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7
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8
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6
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87
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6
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1
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0
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7
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2
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1
250
20.
2
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4
20.
3 20.9
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7
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9
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3
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6
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0.3
5
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1
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7
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2
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2
260
20.
1
21.
3
20.
2 20.8
41.
9 44
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4
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7
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9
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2
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4
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9
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8
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1.8 31.9
0.4
87
0.3
8
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2
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9
0.7
9
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2
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1
270
20.
1
21.
3
20.
2 20.8 42
44.
1
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5
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3
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5
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6
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7
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0.3
7
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2
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4
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3
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2
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6
280
19.
9
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3
20.
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3
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4
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8
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1
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3
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8
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4
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1
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1.6 32.3
0.4
83
0.4
1
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1
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1
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3
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2
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1
290
20.
1
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2
20.
1 20.7 42
44.
1
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5
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8 37
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3
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4
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6
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0.4
87
0.3
6
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1
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2
0.7
9
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2
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2
300 20
21.
2 20 20.6
41.
8
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9
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4
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7
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9
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1
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3
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9
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7
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1.3 27.0 30.3
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1.8 32.0
0.4
83
0.3
8
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2
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0
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0
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2
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2
310
20.
1
21.
2 20 20.6
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3
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4
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8
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4
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5
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6
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3
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0.3
5
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2
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0.8
3
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2
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9
320
20.
2
21.
2
20.
1 20.7
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2
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3
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8
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1.1 34
37.
2
37.
5
32.
7
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3
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3.3
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8
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1.3 27.1 30.6
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1.7 32.2
0.4
83
0.3
7
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1
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2
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0
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2
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3
330 20
21.
2 20 20.6
41.
8
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9
43.
3
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6
36.
8 37
32.
2
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9
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3
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1.6 31.8
0.4
87
0.3
5
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1
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3
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9
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2
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3
340
19.
9
21.
2 20 20.6
42.
1
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2
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6
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8 37
37.
3
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4
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1
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0
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1.4 27.3 30.4
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1.9 32.2
0.4
93
0.4
0
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2
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0.8
2
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2
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2
350 20
21.
2
19.
9 20.6
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3
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4
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8
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4
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6
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9
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1
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7
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7
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1.3 27.0 30.9
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1.7 32.6
0.4
63
0.3
8
0.1
1
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5
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4
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2
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6
360
20.
1
21.
1
19.
9 20.5
42.
1
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2
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6
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1.1
33.
9
37.
1
37.
4
32.
5
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2
35.9±
3.4
25.
6
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1.3 26.9 30.5
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1.6 32.0
0.4
87
0.3
7
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0
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2
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9
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2
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3
2
0 370
20.
7
21.
4
20.
9 21.2
45.
6 48
47.
4
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1.2 35
38.
7
39.
2
33.
3
41.
5
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4.1
25.
5
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1.4 26.9 30.9
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1.7 32.6
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0.2
4
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7
0.6
0
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2
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6
380
20.
7
21.
3
20.
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7
50.
1
49.
6
48.9±
1.2
36.
7
40.
6 41
34.
9
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5
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4.3
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5
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1.5 28.0 31.1
31.1±
2.2 33.2
0.4
85
0.2
9
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1
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3
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3
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3
0.3
4
390
20.
9
21.
3
20.
9 21.1
48.
6
51.
2
50.
6
49.9±
1.3
37.
6
41.
6
41.
9
35.
7
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5
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4.4
27.
2
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1.5 28.7 32.2
32.2±
2.2 34.4
0.4
90
0.3
2
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1
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5
0.6
8
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3
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6
400
20.
8
21.
3
20.
9 21.1
49.
2
51.
7
51.
2
50.5±
1.3 38
42.
1
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4
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1 45
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4.5
27.
5
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1.5 29.0 33.0
33.0±
2.2 35.1
0.4
95
0.3
4
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1
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7
0.7
2
0.0
3
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8
410 21
21.
4 21 21.2
49.
5
52.
1
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6
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1.3
38.
4
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5
42.
7
36.
4
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4
40.9±
4.5
27.
7
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1.5 29.2 33.5
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2.1 35.5
0.4
95
0.3
4
0.1
0
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9
0.7
3
0.0
3
0.3
9
420
21.
1
21.
6
21.
1 21.4 50
52.
6 52
51.3±
1.3
38.
8
42.
9
43.
1
36.
8
45.
8
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4.5
28.
0
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1.6 29.5 33.9
33.9±
2.2 36.0
0.5
00
0.3
4
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1
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0
0.7
5
0.0
3
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0
430
21.
3
21.
8
21.
2 21.5
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2
52.
7
52.
2
51.5±
1.3 39
43.
1
43.
4 37 46
41.5±
4.5
28.
2
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1.6 29.7 34.1
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0.4
98
0.3
4
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0
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5
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3
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1
440
21.
3
21.
8
21.
2 21.5
50.
2
52.
9
52.
3
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1.4
39.
1
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2
43.
5
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1
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1
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4.5
28.
3
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1.6 29.8 34.3
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2.2 36.5
0.4
98
0.3
5
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1
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0
0.7
6
0.0
3
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1
450
21.
3
21.
8
21.
2 21.5
50.
2
52.
8
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3
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1.3
39.
1
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2
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4
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1
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1
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4.5
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25.
9
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9
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7
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2
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8
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3
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8
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5 27
26.
2 28 28
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9
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8
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24
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23
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24
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24
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24
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24
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23
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±1.0
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9
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9
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8
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8
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5 27
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23
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23
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±0.9
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9
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2
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2
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5 27
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8
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23
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24
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23
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23
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±0.9
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9 26
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3
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9
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5 27
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27.
9
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24
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23
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25.
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9
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3
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9
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5 27
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27.
9
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24
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24
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23
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±1.0
25.
9
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9
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2
26.
9
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3
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8
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5 27
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1 28 28
27.
8
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±1.3
24
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24
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23
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±1.0
25.
8
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9
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6
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2
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8
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2
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8
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5 27
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2 28 28
27.
9
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8
26.8
±1.2
25
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25
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25
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25
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26
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24
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24
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24
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±1.3
27.
4
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5
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2 28
28.
8 28
28.
5
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2
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2
27.
6
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29.
9
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±1.6
26
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26
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26
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25
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7
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3
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29.6
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26
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25
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24
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2 30 29
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7
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26
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26
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26
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25
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24
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25
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7
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±1.7
26
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26
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26
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26
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26
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26
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26
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26
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25
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25
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±1.7
26
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26
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25
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26
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25
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26
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26
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27
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25
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24
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26
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8
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9
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2 30
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6
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±1.8
26
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25
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26
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26
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26
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26
.6 27
25
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24
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25
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25
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9
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±1.8
27
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26
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26
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27
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27
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25
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±1.3
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1 32 32
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±1.6
26
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26
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26
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26
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26
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25
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±1.6
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26
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25
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26
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26
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25
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26
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26
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26
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26
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26
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27
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26
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25
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9
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26
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26
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25
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26
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26
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26
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25
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28.
6
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±1.6
27 26
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26
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27
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26
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27
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26
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26
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25
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±1.4
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1 32 32
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±1.9
26
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25
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26
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26
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26
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26
.6 27
25
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24
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±1.3
29.
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9 30
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26
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26
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26
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26
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26
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25
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26
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±1.3
29.
2
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9
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7
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6
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6
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9
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31.
8
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26
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25
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26
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26
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25
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26
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26
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26
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25
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24
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25
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25
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25
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±1.4
29.
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1
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9 30
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7
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4
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30.9
±1.7
27
.7 26
26
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27
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27
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26
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27
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27
.4 28
26
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25
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26
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26
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26
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26.5
±1.5
29.
5 30
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6
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6
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9
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4
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2
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31.1
±2.2
28
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27
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27
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28
.6 28
27
.5
28
.4
28
.1
28
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27
.1
26
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27
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26
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27
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±1.5
30.
5 31
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5
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4
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6
31.
3
31.
8
31.
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7 30
34.
4
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8
33.
5
34.
3
32.2
±2.2
28
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27
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27
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28
.9
28
.4
27
.8
28
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28
.4 29
27
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26
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27
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27
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26
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27
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27.5
±1.5
31.
1
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5 31 32
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2
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8
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5
31.
9
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7
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8
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1
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6
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3
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9
33.0
±2.2
29
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27
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29
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28
.6 28
28
.9
28
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29
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27
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26
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27
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27
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27
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±1.5
31.
5
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8
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4
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4
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6
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2
32.
9
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4
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5
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1
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9
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33.5
±2.1
29
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.1 28
29
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28
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28
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29
.2
28
.9
29
.5 28
27
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27
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27
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28
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27
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26
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28.0
±1.6
31.
9
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1
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7
32.
7
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9
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6
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8 33
31.
9 36
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6
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4
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7
33.9
±2.2
29
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28
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29
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29
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28
.5
29
.4
29
.2
29
.7
28
.2
27
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28
.2 28
27
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28
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±1.6
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8
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6
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3
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9
35.
8 36
34.1
±2.2
29
.6
28
.3
28
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29
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29
.1
28
.5
29
.4
29
.2
29
.8
28
.2
27
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28
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26
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±1.6
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3
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3 33
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8
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3
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7
32.
5
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1 36
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1
34.3
±2.2
29
.7
28
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28
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29
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29
.1
28
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29
.5
29
.2
29
.8
28
.2
27
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28
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28
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26
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28.3
±1.6
32.
4
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6
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9
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4
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9
32.
7
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5
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3
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1
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±2.2
29
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28
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28
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29
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29
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28
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29
.5
29
.3
29
.8
28
.3
27
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28
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28
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27
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26
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±1.6
32.
4
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6
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1 34
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5
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3
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±2.2
30 28
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28
.5 30
29
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29
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29
.5 30
28
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27
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28
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28
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27
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28
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±1.5
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6
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7
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3
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5
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3
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1
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7
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8
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6
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4
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4
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±2.3
30 28
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.6 30
29
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28
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29
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29
.5
30
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27
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28
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28
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28
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28
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±1.6
32.
8
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9
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4
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5
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7
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4
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2
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7
34.
4
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9
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6
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5
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5
34.7
±2.3
30 28
.7
28
.6 30
29
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28
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29
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29
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30
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28
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27
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28
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28
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28
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±1.6
32.
8
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9
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5
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5
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7
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4
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3
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8
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5
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9
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7
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5
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5
34.7
±2.2
30
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28
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28
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29
.7 29 30
29
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30
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28
.8 28
28
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28
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7
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30
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29
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30
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28
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7
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30
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30
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28
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30
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30
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30
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30
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31
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39
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38
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35
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38
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35
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38
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37
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38
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35
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3
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3
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3
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3
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2
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7
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1 52
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7
48.7
±5.1
38
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35
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38
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37
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38
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35
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37
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±2.7
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5
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6
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6
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9
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3
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3
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2
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3
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2
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6
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1 52
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7
48.7
±5.1