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Zuber Khan Performance and Propulsion Engineer 10220295 1 | Page Group 10 Large Mid-range Passenger Aircraft AG10 -325 Role: Performance and Propulsion Engineer Name: Zuber Khan SRN: 10220295 University of Hertfordshire Faculty of Science, Technology and Creative Arts Module: Aerospace Performance, Propulsion and Design 6ENT1010 Group 10

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Zuber Khan Performance and Propulsion Engineer 10220295

1 | P a g e Group 10

Large Mid-range Passenger Aircraft

AG10 -325

Role: Performance and Propulsion Engineer

Name: Zuber Khan

SRN: 10220295

University of Hertfordshire

Faculty of Science, Technology and Creative Arts

Module: Aerospace Performance, Propulsion and Design 6ENT1010

Group 10

Zuber Khan Performance and Propulsion Engineer 10220295

2 | P a g e Group 10

Table of Contents Introduction ...................................................................................................................................................................... 3

Aircraft Engine................................................................................................................................................................... 3

Engine Selection & Position .......................................................................................................................................... 3

Performance ..................................................................................................................................................................... 4

Take-off ......................................................................................................................................................................... 4

Distances ................................................................................................................................................................... 4

Variation in Altitude and Temperature ..................................................................................................................... 5

Balanced Field Length ............................................................................................................................................... 7

Velocities during Take-off ......................................................................................................................................... 8

Ground Run Summary ............................................................................................................................................... 9

Climb ........................................................................................................................................................................... 10

Climb Angle ............................................................................................................................................................. 12

Cruise .......................................................................................................................................................................... 12

Speed / Altitudes / Time ......................................................................................................................................... 12

Landing ........................................................................................................................................................................ 14

Calculations of Approach ........................................................................................................................................ 15

Brakes ...................................................................................................................................................................... 17

Fuel .............................................................................................................................................................................. 17

Flight Profile Determined By Fuel ........................................................................................................................... 18

Summary of fuel used ............................................................................................................................................. 19

OEI ............................................................................................................................................................................... 20

Take-off and Climb .................................................................................................................................................. 20

Cruise & Fuel Dump ................................................................................................................................................ 22

Land ......................................................................................................................................................................... 22

Thrust .......................................................................................................................................................................... 23

Summary of Requirements at different Phases ...................................................................................................... 23

Mission Profile ............................................................................................................................................................ 24

Time ........................................................................................................................................................................ 24

Configurations affecting Landing Weights .............................................................................................................. 25

Payload vs Range Graph .......................................................................................................................................... 26

Aircraft Ceiling ................................................................................................................................................................. 26

Aircraft Comparison ........................................................................................................................................................ 27

Summary ......................................................................................................................................................................... 28

References ...................................................................................................................................................................... 28

General Specification ...................................................................................................................................................... 29

General Arrangement ..................................................................................................................................................... 30

Zuber Khan Performance and Propulsion Engineer 10220295

3 | P a g e Group 10

Introduction This section will be focusing on the performance and propulsion side of AG10. This will include

justifications of why certain things were added to the aircraft design or left out with the help of

calculations. This section will also cover different scenarios during flight such as engine failure or extra

passenger weight and how this will affect the performance and efficiency of the aircraft.

The aircraft has been optimised to carry 325 passengers 2700 Nautical miles (Nm) and has been configured to take off from relatively small runways at different altitudes to be able to accommodate a larger customer base consisting largely of Asia.

Aircraft Engine Engine Selection & Position Selecting the correct engine for our aircraft depends on a few fundamentals such as distance and speed.

Distance plays a part in the selection as choosing the right engine would enable good efficiency and shorter

flight times. The aim of the project was to produce an aircraft which could fly in the region of 2500Nm,

which narrowed down the selection to TurboProp and TurboFan. Due to the distance and thrust required

meant that TurboProp was out of the question even though the SFC was much less due to the cruise speed

being much less, whereas the Turbofan can fly much higher which means it can reach speeds of Mach 0.8

which in turn would reduce flight times. The noise of a TurboProp is also greater than a Turbo fan which

would cause a few issues for passengers and people living close by, but also using a Turbofan gives the

slight freedom of the positioning of the engine.

From looking at the data from source 1 a rough estimate

could be made on approximately how much thrust would be

required for our aircraft if it were to carry 325 passengers.

An approximation of 67000lbf was made which was rounded

to 300kN. Whilst carrying out a comprehensive search of the

engines available a decision was made to choose the Trent

1000. This was due to it meeting all requirements for thrust

produced and also boasts new technology which enables low

(Source 1. Take-off thrust vs MTOW) SFC which reduces the fuel required for the mission.

Engine placement was also a major decision

which had to be made. There were 2 options

either placing the engines under the wing or

place them near the tail. Having the engine at

the tail in turn means that the wing would have

a smooth undisrupted flow and also that the

undercarriage would be able to be much smaller

as the clearance would not be necessary. If an

OEI situation arouse the resultant moment

would be much less. However a decision was

made to attach the engine to the wings due to

the sheer weight and size of them. Source 2: Rolls Royce - Trent 1000

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The benefit of having the engines in this location due to their weight and size is that they help reduce the

shear and torsional forces experienced by the wing during high lift manoeuvres, and also helps with

structural rigidity as it prevents the wings from excessively bending and snapping when the fuel content

within them is low therefore reducing weight. Wing mounting also reduces the structural complexity

required if they were placed near the rear tail therefore reducing the total weight of the aircraft.

Spec: 2.85m Diameter, Length 4.738m, 10:1 bypass ratio, three shaft turbofan engine, 240 – 330kN rating.

Performance This section of the report will be a breakdown of all the calculations made for the AG10 aircraft. The values

are made using assumptions helped by Daniel P. Raymer and notes provided by Ken Hart from The

University of Hertfordshire.

Take-off Take-off is the second phase of any mission profile after taxing to the runway from the aircraft hold

position. Take-off is defined by aircraft starting from stand still and accelerating to Vlof followed by

rotating and taking off and reaching a height of 35ft (10.7m) of the ground also known as v2. During Take-

off maximum thrust is required depending on the weight of aircraft, runway length, temperature and

altitude.

Distances To help calculate the runway distance required by the aircraft, 2 equations are required. The first equation

determines the distance required while the wheels are still on the ground and the second one for once it

has rotated and taken off and the horizontal airborne distance covered during this period and before it

reaches a screen height of 35ft.

𝑠1 = π‘Š

πœŒπ‘”π‘†(πœ‡πΆπΏβˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡πΆπΏβˆ’ 𝐢𝐷)

2(π‘‡βˆ’ πœ‡π‘Š)𝑉2] (Equation 1. Source 1)

W Weight 1962000N

S Wing Area 305.5m2

CL Coefficient of Lift Vlof 1.81 produced by aero dynamists

CL Coefficient of Lift V2 2.05 produced by aero dynamists

CD Coefficient of Drag Vlof 0.192 produced by aero dynamists

CD Coefficient of Drag V2 0.063 produced by aero dynamists

Β΅ Rolling Resistance 0.02

T Thrust per engine 300kN

VLOF Lift-off Velocity 75.911m/s

Graph 1.Thrust Variation with forward velocity. (Source 1)

This graph had to be used to calculate the different thrust outputs

the turbofan would produce at different forward speeds compared

to Max Take-off thrust.

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5 | P a g e Group 10

𝑠1 = 1962000

1.225 βˆ— 9.81 βˆ— 305.5 βˆ— (0.02 βˆ— 1.81 βˆ’ 0.192)π‘™π‘œπ‘”π‘’ [1 +

1.225 βˆ— 305.5 βˆ— (0.02 βˆ— 1.81 βˆ’ 0.192)

2(501000 βˆ’ 0.02 βˆ— 1962000)75.9112]

𝑠1 = 1055.2π‘š

𝑠𝐴 = π‘Š

(π‘‡βˆ’π·)𝐴𝑉𝐸(

[(𝑉2)2βˆ’ (𝑉𝐿𝑂𝐹)2]

2𝑔+ 10.7) (Equation 2. Source 1)

(T-D)AVE Thrust minus Drag Average 354173.0431

V2 V2 Velocity 82.81m/s

𝑠𝐴 = 1962000

354173.0431(

[(82.81)2βˆ’ (75.911)2]

2βˆ—9.81+ 10.7) 𝑠𝐴 = 368.54π‘š

Therefore total distance to v2:

𝑠1 + 𝑠𝐴 = 1055.2π‘š + 368.54π‘š = 1423.74π‘š

Variation in Altitude and Temperature Additional calculations were made similar to the one above, however different scenarios were considered.

One of the considerations made was the different temperatures and altitudes the aircraft would

experience during taking-off throughout its life span therefore calculations were made to see how that

affected the runway length required. The calculations also included 115% runway certification rules if all

engines were functioning and also considering OEI circumstances. This included ground run to decision

speed then applying the brakes to bring the aircraft to a stop, then these 2 values were then added

together to see how long the total runway would have to be. Finally the runway distance required if the

aircraft reached v1 then suffered an OEI and still carried on taking off was determined. With these figures

it can be determined from which runways AG10 could safely take-off from.

For the 115% certification rule for runway lengths the total runway length was multiplied by 1.15.

𝑠115% = 1423.74π‘š βˆ— 1.15 = 1637.3π‘š

For determining how long the runway would have to be if and OEI occurred after v1 and then stopping the

aircraft the equation below was added. For this part of the equation the thrust (T) was set to zero and

rolling resistance (Β΅2) 0.4 indicating the application of brakes.

𝑆𝐴𝑆 = βˆ’π‘Š

πœŒπ‘”π‘†(πœ‡2πΆπΏβˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 βˆ’

πœŒπ‘†(πœ‡2πΆπΏβˆ’ 𝐢𝐷)

2(πœ‡2π‘Š)𝑉1

2] (Equation 3.Source1)

Total ground run therefore would be:

𝑆𝑂𝐸𝐼 𝑆𝑇𝑂𝑃 =π‘Š

πœŒπ‘”π‘†(πœ‡1𝐢𝐿 βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡1𝐢𝐿 βˆ’ 𝐢𝐷)

2(𝑇 βˆ’ πœ‡1π‘Š)𝑉1

2] βˆ’ π‘Š

πœŒπ‘”π‘†(πœ‡2𝐢𝐿 βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 βˆ’

πœŒπ‘†(πœ‡2𝐢𝐿 βˆ’ 𝐢𝐷)

2(πœ‡2π‘Š)𝑉1

2]

(Equation 4. Source 1)

Zuber Khan Performance and Propulsion Engineer 10220295

6 | P a g e Group 10

V1 = 67m/s and Thrust at that speed = 258000N per engine using (graph 1)

𝑆𝑂𝐸𝐼 𝑆𝑇𝑂𝑃 =1962000

1.225 βˆ— 9.81 βˆ— 305.5(0.02 βˆ— 1.81 βˆ’ 0.063)π‘™π‘œπ‘”π‘’ [1 +

1.225 βˆ— 305.5(0.02 βˆ— 1.81 βˆ’ 0.063)

2(258000 βˆ’ 0.02 βˆ— 1962000)βˆ— 672]

βˆ’ 1962000

1.225 βˆ— 9.81 βˆ— 305.5(0.4 βˆ— 1.81 βˆ’ 0.063)π‘™π‘œπ‘”π‘’ [1 βˆ’

1.225 βˆ— 305.5(0.4 βˆ— 1.81 βˆ’ 0.063)

2(0.4 βˆ— 1962000)βˆ— 672]

𝑆𝑂𝐸𝐼 𝑆𝑇𝑂𝑃 = 1811π‘š

For OEI occurring but then taking off the equation below was used again however the thrust was halved.

𝑆𝐴 = π‘Š

(π‘‡βˆ’π·)𝐴𝑉𝐸(

[(𝑉2)2βˆ’ (𝑉𝐿𝑂𝐹)2]

2𝑔+ 10.7) (Equation 2.Source 1)

𝑆𝑂𝐸𝐼 π‘‡π΄πΎπΈβˆ’π‘‚πΉπΉ =π‘Š

πœŒπ‘”π‘†(πœ‡1𝐢𝐿 βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡1𝐢𝐿 βˆ’ 𝐢𝐷)

2(𝑇 βˆ’ πœ‡1π‘Š)𝑉1

2] +π‘Š

(𝑇 βˆ’ 𝐷)𝐴𝑉𝐸(

[(𝑉2)2 βˆ’ (𝑉𝐿𝑂𝐹)2]

2𝑔+ 10.7)

(Equation 5. Source 1)

𝑆𝑂𝐸𝐼 π‘‡π΄πΎπΈβˆ’π‘‚πΉπΉ =1962000

1.225 βˆ— 9.81 βˆ— 305.5(0.02 βˆ— 1.81 βˆ’ 0.063)π‘™π‘œπ‘”π‘’ [1 +

1.225 βˆ— 305.5(0.02 βˆ— 1.81 βˆ’ 0.063)

2(258000 βˆ’ 0.02 βˆ— 1962000)βˆ— 672]

+1962000

261799.6442(

[(82.81)2 βˆ’ (75.911)2]

2 βˆ— 9.81+ 10.7)

𝑆𝑂𝐸𝐼 π‘‡π΄πΎπΈβˆ’π‘‚πΉπΉ = 1806π‘š

All of the values above have been summarised in the table below. During the life of the aircraft different

runway altitudes and temperatures would be experienced therefore similar calculations as above with

those scenarios and those results have also been tabulated below.

Ground Runs (Meters) Sea Level

Sea Level ISA+20

ISA 2000ft

ISA 4000ft

ISA 6000ft

Total Runway Distance All Engines 1424 1710 1722 1809 1900

Minimum Certified Runway Length Required All Engines 115%

1637 1966 1980 2080 2185

Ground Run To Decision Speed Then Stop 1811 1990 1862 1848 1872

Total Runway Distance With OEI After V1 1806 2030 1976 2053 2154

Maximum Runway needed in the dry 2185 Table 1. Runway distance for different scenarios.

From the table it could be seen that at sea level a runway length longer than 1811m would be sufficient for

AG10 and would cover most scenarios for the dry.

The calculations also showed that the longest runway required would be 2185m which would be required

at an altitude of 6000ft.

Zuber Khan Performance and Propulsion Engineer 10220295

7 | P a g e Group 10

These calculations have not taken all airports and runways into consideration from around the world as

some are much higher than 6000ft and are not used by larger aircrafts. However if AG10 needed to take-

off from a runway which was higher than 6000ft or shorter than the runway lengths stated above then a

compromise would have to be made for the aircraft to be able to take-off. The only way it would be

achievable is by reducing the weight of the aircraft for take-off which could be done in a numerous

amounts of ways. This would include either reducing the amount of passengers and their luggage/cargo or

reducing the amount of fuel carried, this would then enable the aircraft to take-off at the selected airport.

Balanced Field Length

Graph 2. Balanced Field Length.

Above is the balanced field length graph which has been produced to help determine v1 critical engine

failure speed. To do this the equations below were used. From the graph it can be seen that critical speed

is 67m/s and the balanced field length is around 1800m.

𝑆𝐴𝑆 =π‘Š

πœŒπ‘”π‘†(πœ‡1𝐢𝐿 βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡1𝐢𝐿 βˆ’ 𝐢𝐷)

2(𝑇 βˆ’ πœ‡1π‘Š)𝑉1

2] βˆ’ π‘Š

πœŒπ‘”π‘†(πœ‡2𝐢𝐿 βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 βˆ’

πœŒπ‘†(πœ‡2𝐢𝐿 βˆ’ 𝐢𝐷)

2(πœ‡2π‘Š)𝑉1

2]

𝑆𝐺𝑅 = π‘Š

πœŒπ‘”π‘†(πœ‡πΆπΏ βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡πΆπΏ βˆ’ 𝐢𝐷)

2(𝑇1 βˆ’ πœ‡π‘Š)𝑉1

2] + π‘Š

πœŒπ‘”π‘†(πœ‡πΆπΏ βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡πΆπΏ βˆ’ 𝐢𝐷)

2(𝑇2 βˆ’ πœ‡π‘Š)𝑉2

2]

βˆ’ π‘Š

πœŒπ‘”π‘†(πœ‡πΆπΏ βˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡πΆπΏ βˆ’ 𝐢𝐷)

2(𝑇2 βˆ’ πœ‡π‘Š)𝑉1

2]

These are the values which have been calculated using the formulas

above

Table 2. Balanced field Values.

0200400600800

10001200140016001800200022002400260028003000

0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95

Dis

tacn

e m

etr

es

Engine Failure Speed m/s

Accelerate stop and Balance Field Length

Sas Sgr

V1 m/s Sas Sgr

10 30.6845 2800.84

20 124.106 2738.85

30 284.821 2634.35

40 522.317 2485.5

50 855.847 2289.62

60 1329.93 2043.02

70 2089.49 1740.86

V1

Balanced field length

(Equation 5+6. Source 1)

Zuber Khan Performance and Propulsion Engineer 10220295

8 | P a g e Group 10

Velocities during Take-off

(Diagram 1.Source 3)

To determine the speed at which our aircraft should rotate (Vr ) the equation below for ground run was

used.

𝑠1 = π‘Š

πœŒπ‘”π‘†(πœ‡πΆπΏβˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 +

πœŒπ‘†(πœ‡πΆπΏβˆ’ 𝐢𝐷)

2(π‘‡βˆ’ πœ‡π‘Š)𝑉2] (Equation1. Source 1)

In Raymer it is said to assume rotation takes between 2-3 seconds. For the calculations of AG10 2 seconds

was selected.

At V2 the speed of the aircraft is 82.81m/s and has travelled 1674m in 20.214 seconds. Using the equation

below the acceleration of the aircraft could be calculated.

π‘Ž =π‘£βˆ’π‘’

𝑑=

82.812βˆ’0

20.214= 4.0968π‘š/𝑠2 (Equation 7)

Rotation happens 2 seconds before lift-off therefore rotational speed is:

75.911 βˆ’ (2 βˆ— 4.096) = 67.717π‘š/𝑠

Putting this velocity into the ground run equation:

𝑠1 = 1962000

1.225 βˆ— 9.81 βˆ— 305.5 βˆ— (0.02 βˆ— 1.81 βˆ’ 0.192)π‘™π‘œπ‘”π‘’ [1 +

1.225 βˆ— 305.5 βˆ— (0.02 βˆ— 1.81 βˆ’ 0.192)

2(510000 βˆ’ 0.02 βˆ— 1962000)67.7172]

𝑠1 = 1145.82π‘š

This therefore means if AG10 was to take-off it would need to start rotating at 1145.82m when it’s

travelling at 67.717m/s.

Zuber Khan Performance and Propulsion Engineer 10220295

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Take-off Velocities Summary

Aircraft Performance M/s Knots

Vmc Minimum Control speed 64.25 124.9 From Stability Engineer

V1 Critical Engine Failure Speed 67 130.2 From Balanced Field Length

Vr Rotation Speed 67.72 131.6 From Calculation Above

Vs Stall Speed 69.01 134.2 From Aero Engineer

Vmu Minimum Unstick Speed all engines 71.22 138.5 From Aero Engineer

Lift off Speed (VLOF) 75.911 147.6

V2 velocity at 35ft of the ground 82.812 161

Table 3: Different velocities during Take-off

Ground Run Summary

Graph 3. Ground Run –

Distance vs Speed (m/s)

Graph 4. Ground Run – Distance vs Speed (Knots)

0

20

40

60

80

100

120

0 500 1000 1500 2000

Air

craf

t Sp

ee

d (

m/s

)

Distance Travelled (m)

Ground Run - Distance vs Speed

0

50

100

150

200

250

0 200 400 600 800 1000 1200 1400 1600

Air

craf

t Sp

ee

d (

Kn

ots

)

Distance Travelled (m)

Ground Run - Distance vs Speed

Zuber Khan Performance and Propulsion Engineer 10220295

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Graph 5. Ground Run – Distance with time (seconds)

Climb Once the aircraft has taken off it has to climb to its cruise altitude as quickly and efficiently as possible.

Initially once the aircraft has reached V2 it will climb at a rate of 2240 ft/min. The climb rates are done in

sections from one height to another.

The way the rate of climb was calculated was using the

formulas below:

π‘…π‘Žπ‘‘π‘’ π‘œπ‘“ π‘π‘™π‘–π‘šπ‘ =𝑉(π‘‡βˆ’π·)

π‘Š (Equation 8. Source 1)

For V2 to 1500ft the rate of climb was calculated to be:

π‘…π‘Žπ‘‘π‘’ π‘œπ‘“ π‘π‘™π‘–π‘šπ‘ =88.184(474000 βˆ’ 151350.215)

1961845= 14.5π‘š/𝑠

= 14.5π‘š/𝑠 = 870m/min = 2853ft/min

At which point the thrust is 79% max take-off thrust and drag

was calculated using: 𝐷 = 0.5 Γ— 𝜌 Γ— 𝑉2 Γ— 𝑆 Γ— 𝐢𝐷

(Equation 9. Source 1)

(Diagram 2. Source 3)

The time taken to climb from V2 to 1500ft has been calculated below:

𝑑1βˆ’2 = [β„Ž2βˆ’β„Ž1

𝑉𝑐2βˆ’π‘‰π‘1] π‘™π‘œπ‘”π‘’ (

𝑉𝑐2

𝑉𝑐1) (Equation 10. Source 1)

𝑑1βˆ’2 = [1500 βˆ’ 35

2853 βˆ’ 2465] π‘™π‘œπ‘”π‘’ (

2853

2465) = 0.5538π‘šπ‘–π‘›π‘ 

= 0.5538π‘šπ‘–π‘›π‘  = 33 π‘ π‘’π‘π‘œπ‘›π‘‘π‘ 

0

200

400

600

800

1000

1200

1400

1600

0 2 4 6 8 10 12 14 16

Dis

tan

ce

Time

Ground Run - Distance with time

Zuber Khan Performance and Propulsion Engineer 10220295

11 | P a g e Group 10

During flight fuel would be used therefore the weight of the aircraft would be reducing all the time. The

change in weight was calculated using the equation below:

π‘Š1

π‘Š2= 𝑒

(π‘‡π‘–π‘šπ‘’βˆ—π‘†πΉπΆβˆ—πΆπ·

𝐢𝐿)

(Equation 11. Source 1)

Therefore during this climb phase the weight change was: (as a ratio)

π‘Š1

π‘Š2= 𝑒(

33.23βˆ—0.00010392βˆ—0.120311121.413555218

) = 1.000294

Consequently the new weight at 1500ft is:

1961845

1.000294= 1961268𝑁

Which means that 58.77Kg of fuel was used from V2 – 1500ft.

All the calculations above were done for all phases of flight for climb and the results have been tabularised

below.

ft/min mins s N N Kg

Section Rate of climb

time taken time taken W1/W2 W2

Fuel used Fuel used

CLI

MB

0 - V2 2240.00 0.34 20.21 1.00007900 1961845.01 154.99 15.80 V2 - 1500ft 2853.04 0.58 34.80 1.00030790 1961241.15 603.86 61.56

1500ft - 10000ft 1934.08 3.60 215.75 1.00149408 1958315.27 2925.88 298.25

10000ft - 20000ft 1198.11 6.51 390.41 1.00304820 1952364.07 5951.20 606.65

20000ft - 30000ft 795.63 10.17 610.26 1.00470682 1943217.69 9146.38 932.35

30000ft - 35000ft 768.43 6.39 383.66 1.00304978 1937309.32 5908.36 602.28

Table 4. Table to show time to height

Graph 3. SFC at different speeds (Source 1)

This graph was used to help find the SFC at

different points of the flight phase to help

determine how much fuel was used. An

improvement of 12% was made to any values

extrapolated due to it being old data.

Total time taken to get to cruise of 35000ft from the calculations carried out is just under 28mins and the

horizontal distance travelled during this time is 148.42Nm. The amount of fuel used to reach cruise altitude

is 2517kg of fuel which is 3186 litres.

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Climb Angle The initial climb angle at VLof is calculated using the equation below:

πœƒ = π‘ π‘–π‘›βˆ’1 [π‘‡βˆ’π·

π‘Š] (Equation 12. Source 1)

πœƒ = π‘ π‘–π‘›βˆ’1 [250500βˆ’206632

1962000]= 0.15 rads

= 0.151 rads = 8.63Β°

This therefore means the aircraft should rotate to 8.6Β° when rotating on the runway. This would be the

angle of attack at that point.

Angle of attack was also calculated for all other phases of climb in the same way and are shown below:

Thrust N

Drag N

Weight N

Angle of Attack (Degrees)

V2 - 1500ft 474000 151350.2 1961241.15 9.47

1500ft - 10000ft 276000 126061.2 1958315.27 4.39

10000ft - 20000ft 204000 126712.9 1952364.07 2.27

20000ft - 30000ft 144000 104518.8 1943217.69 1.16

30000ft - 35000ft 123000 90844.86 1937309.32 0.95

Table 5. Table to show angle of attack at different altitudes.

Cruise Cruise is where the aircraft is the most during a whole flight profile. The length of the cruise part of flight is

all dependant on the amount of fuel which is on board and the SFC at that point.

By using graph 3 with the improvement AG10 has an SFC of 0.4868 lb/hr/lbf at cruise.

Speed / Altitudes / Time AG10 will be flying at the same speed as other competitors at Mach 0.8. AG10 will be cruising at 35000ft

with a thrust of 12300N which is 20.5% max take-off thrust. The thrust has been determined by the graph

below.

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Graph 4. Thrust Variation with

Forward Velocity (Source 1)

During cruise the weight of the aircraft will change due to fuel being used and it is therefore necessary to

do step climbs every so often to maintain the same efficiency. Therefore throughout the flight the aircraft

would increase in altitude slowly.

The climb could be be a maximum of 300 ft/min at this altitude and would have a minimum of 4000ft

interval separations between each climb. However this would be determined on the weight of the aircraft

and the distance it needs to cruise for.

For AL10-325 arrangement the aircraft has a total range of 2700Nm, however not all of that is due to

cruise. 148Nm is taken away due to climb and 53Nm in decent of which the calculation will be shown later

in the report. Therefore 2435Nm is approximately the cruise phase which takes a total of 319 minutes =

5.32Hrs.

The SFC of this stage is 0.4868 lb/hr/lbf which has been extrapolated from graph 3 with an improvement of

12%

m m/s lb/hr/lbf N/s/N

section horizontal distance

Initial speed

knots mach sfc sfc Cd Cl

35000ft 4512030 236 458 0.8 0.4868 0.000135 0.0353 0.603

Table 6. Cruise Data. CL and Cd values from aerodynamisist.

From the cruise data it can be seen that 27798kg of fuel was used during this stage which approximates to

35187 litres. The total weight of the aircraft after cruise is 1664610N = 169685kg.

N mins N Kg Nm

thrust time taken

W1/W2 W2 Fuel used

Cumulative distance until after cruise

123000 318.56 1.16 1664609.39 27798.16 2583.41

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Landing

(Diagram 3. Source 3)

Landing is a very similar process to climb but in the opposite direction. Landing is also done in phases of

losing height starting all the way from cruise of 35000ft to 50ft.

After the aircraft has reached 50ft feet of the ground the processes shown in diagram 3 are undertaken.

When the landing process is started at 35000ft the thrust is idled back to 4% max take-off thrust which is 24000N therefore the aircraft glides for 53Nm. To calculate the angles of attack of the aircraft at different altitudes the equation below is used.

πœƒ = π‘ π‘–π‘›βˆ’1 [π‘‡βˆ’π·

π‘Š] (Equation 12. Source 1)

Section Thrust N Drag N Weight N Angle Degrees

10000ft - 5797.5ft 24000 37663.86 1664116.89 -0.47045

5797.5ft - 50ft 24000 53886.05 1663948.16 -1.02914

50ft - 0ft 60000 30406.46 1663922.75 1.019082 Table 7. Landing data

From the table it can be seen that the aircraft comes down with a small angle of attack within the

certification rules. When the aircraft is 50ft of the ground the thrust is increased to help with the flaring

stage and reduce impact but also helps if the landing has to be abort due to the engines not taking as long

to spool up.

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Calculations of Approach Below are the calculations made for the landing phase of AG10. From the values it can be seen that the

total distance travelled by the aircraft is 2700Nm, however the landing phase itself is 53Nm. After the full

flight was carried out the weight calculations have been made and the landing weight of the aircraft is

169.6 tonnes.

m m/s m/s Lb/hr/lbf N/S/N

Section Horizontal Distance

Initial Speed

Knots Mach Final Speed

Knots Mach SFC SFC

De

cen

t an

d L

and

35000ft - 10000ft

117114.32 236.06 458.9 0.8 154.32 300 0.48 0.014 4.05134E-06

10000ft - 5797.5ft

55590 128.6 250 0.39 118.312

230 0.35 0.014 4.05134E-06

5797.5ft - 50ft

42619 118.31 230 0.35 88.4 171.85 0.25 0.014 4.05134E-06

50ft - 0ft 1110.08 88.4 171.8 0.25 0 0 0 0.035 9.90329E-06

Ft/min MIN S N N Kg Nm

Rate of decent Time taken Time taken Weight Fuel used

Fuel used Cumulative distance

2500.00 10.00 600.00 1664281.31 328.08 33.44 2646.61099

559.98 7.50 450.28 1664116.89 164.41 16.76 2676.61099

836.30 6.87 412.35 1663948.16 168.74 17.20 2699.61099

119.45 0.42 25.11 1663922.75 25.41 2.59 2700.2

Table 8. Further Landing Data.

The final approach is key and starts 35ft of the ground as seen in Raymer and diagram 2 above. Raymer (Source 3) makes the assumption that the approach speed should be Va = 1.3 * V stall. (V stall from aerodynamicist)

π‘‰π‘Ž = 1.3 βˆ— 69.01 = 89.71π‘š/𝑠 The touch down velocity is recommended to be VT = 1.15 * V stall (Source 3)

𝑉𝑇 = 1.15 βˆ— 69.01 = 79.36π‘š/𝑠 As can be seen in diagram 2 that the aircraft has to flare before touch down and the radius was worked out using the equations below but first the flare velocity was determined.

VF = 1.23 * V stall (Source 3)

𝑉𝐹 = 1.23 βˆ— 69.01 = 84.88π‘š/𝑠 From the flare velocity the flare radius could be worked out using the equation below:

𝑅 =𝑉𝐹

2

0.2βˆ—π‘” (Equation 13. Source 3.)

𝑅 =84.882

0.2 βˆ— 9.81= 3672.08π‘š

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Using the radius the flare height could be determined.

πΉπ‘™π‘Žπ‘Ÿπ‘’ π»π‘’π‘–π‘”β„Žπ‘‘ = 𝑅(1 βˆ’ cos 𝛾𝐷𝑒𝑠𝑐𝑒𝑛𝑑) (Equation 14. Source 3)

To work out π›ΎπΉπ‘™π‘Žπ‘Ÿπ‘’ Equation 12 was used again. 𝐷 = 0.5 Γ— 𝜌 Γ— 𝑉2 Γ— 𝑆 Γ— 𝐢𝐷 (Equation 8. Source 1)

𝐷 = 0.5 Γ— 1.225 Γ— 84.882 Γ— 305.5 Γ— 0.07 = 105413.7009𝑁

W=1663922.75N and Thrust 24000N

πœƒ = π‘ π‘–π‘›βˆ’1 [24000βˆ’105413.7009

1663922.75]= -2.8045Β°

πΉπ‘™π‘Žπ‘Ÿπ‘’ π»π‘’π‘–π‘”β„Žπ‘‘ = 3672.08(1 βˆ’ cos(βˆ’2.8045)𝐷𝑒𝑠𝑐𝑒𝑛𝑑)

πΉπ‘™π‘Žπ‘Ÿπ‘’ π»π‘’π‘–π‘”β„Žπ‘‘ = 4.398m of the ground

To work out the horizontal distance while flaring the equation 14 was used.

π»π‘œπ‘Ÿπ‘–π‘§π‘œπ‘›π‘‘π‘Žπ‘™ π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ = 𝑅 sin 𝛾𝐷𝑒𝑠𝑐𝑒𝑛𝑑 (Equation 15. Source 3)

π»π‘œπ‘Ÿπ‘–π‘§π‘œπ‘›π‘‘π‘Žπ‘™ π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ = 3672.08 sin(2.8045)

π»π‘œπ‘Ÿπ‘–π‘§π‘œπ‘›π‘‘π‘Žπ‘™ π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ = 179.67π‘š

The approach distance was also determined using equation 15 below.

π΄π‘π‘π‘Ÿπ‘œπ‘Žπ‘β„Ž π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ = β„Žπ‘œπ‘π‘ π‘‘π‘Žπ‘π‘™π‘’βˆ’β„Žπ‘“

tan 𝛾𝐷𝑒𝑠𝑐𝑒𝑛𝑑 (Equation 16. Source 3)

π΄π‘π‘π‘Ÿπ‘œπ‘Žπ‘β„Ž π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ = 10.7 βˆ’ 4.398

tan βˆ’2.8045= 128.65π‘š

After the aircraft has flared it touches down. Once this has happened the aircraft rolls for 1-3 seconds

(source 3) before the brakes are applied. As calculated earlier VTD is 79.36m/s. During this time the aircraft

would have rolled a considerable amount down the runway.

π·π‘–π‘ π‘‘π‘Žπ‘›π‘π‘’ π‘Žπ‘“π‘‘π‘’π‘Ÿ π‘‘π‘œπ‘’π‘β„Ž π‘‘π‘œπ‘€π‘› π‘“π‘œπ‘Ÿ 3 π‘ π‘’π‘π‘œπ‘›π‘‘π‘  = 3 βˆ— 79.36 = 238.08π‘š

After the 3 seconds the brakes are applied and the distance required to stop is calculated using:

𝑆𝐿 = βˆ’π‘Š

πœŒπ‘”π‘†(πœ‡2πΆπΏβˆ’ 𝐢𝐷)π‘™π‘œπ‘”π‘’ [1 βˆ’

πœŒπ‘†(πœ‡2πΆπΏβˆ’ 𝐢𝐷)

2(πœ‡2π‘Š)𝑉𝑇𝐷

2] (Equation 3.Source1)

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Cd and Cl from Aero dynamists

𝑆𝐿 = βˆ’1663922.75

1.225 βˆ— 9.81 βˆ— 305.5(0.4 βˆ— 1.14 βˆ’ 0.07)π‘™π‘œπ‘”π‘’ [1 βˆ’

1.225 βˆ— 305.5(0.4 βˆ— 1.14 βˆ’ 0.07)

2(0.4 βˆ— 1663922.75)79.362]

𝑆𝐿 = 1350.66π‘š

Therefore total distance to stop would be:

1350.66 + 238.08 = 1588.74π‘š

Brakes AG10 would have thrust reversers built into the engine which would reduce the overall braking distance

however for certifications purposes it is not considered just in case there is some kind of engine failure.

Therefore the brakes and spoilers should be large enough to bring the aircraft to a safe stop quickly.

Fuel One of the variables with the aircraft is the weight that it’s carrying in terms of passengers and cargo.

Depending on that the fuel can be adjusted accordingly to make sure the weight of the overall aircraft does

not go over MTOW. This consequently means that the range could either be reduced or increased

depending on if the weight is high or low respectively.

The maximum AG10 is designed to carry is 40800 litres of jet fuel within its wings.

When AG10 is configured to the 325 configuration which it has been designed for it can travel a total

distance of 2700Nm. In this scenario the aircraft is fully loaded with fuel, passengers with their luggage and

additional cargo.

One of the other configurations which could be achieved within AG10 is a maximum load scenario in which

the whole aircraft is turned to economy with a 28 inch pitch (No more additional passengers or cargo can

be added). This would then mean a total of 440 passengers would be able to fit in with their luggage. If the

additional cargo was still maximum at 20 tonnes the weight of the fuel would have to be reduced which

would compensate for the additional passengers therefore the MTOW would still be the same. Due to

reducing the fuel the capacity would be 26377 litres which is 55% of total capacity. This therefore means

the range would be decreased to 1648Nm.

Another scenario could be just transporting the aircraft from one location to another with no passengers

or additional cargo. With this configuration the aircraft would be able to carry its maximum fuel capacity of

40800 litres however due to the reduced weight of the aircraft it would be able to fly a total of 3820Nm

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Flight Profile Determined By Fuel Below the various scenarios are shown graphically. It can be seen that the different configurations and

scenarios have a large influence on the distance the aircraft is able to fly.

Graph 5. Flight Profile of AG10

For all the different scenarios the take-off climb speeds, landing speeds and all times for those sections are

the same. Therefore the only part of the flight which is affected due to the weight and fuel is the cruise

length. As expected the configuration with least amount of fuel has the smallest cruise distance and visa

verse.

However for certification purposes the aircraft should be able to come into land and then abort and be

able to go around again and retry the landing. This therefore means there should be sufficient amount of

fuel left to be able to do this after a full flight mission. For AG10 the fuel reserves allow the aircraft to fly

for another 34 minutes which is within certification rules. This has also been added to the flight profile

graph above which has been represented by the small peaks after each mission.

During this time of 34 minutes the aircraft flies a total of 117Nm with it cruising at 10000ft for just over 11

minutes which equates to 47Nm of the total reserve profile.

0

5000

10000

15000

20000

25000

30000

35000

40000

0 500 1000 1500 2000 2500 3000 3500 4000 4500

Alt

itu

de

in F

ee

t

Horizontal Distance in Nautical Miles

Flight Profile in Nm for AG10 With Reserves

325 Passengers: Business and Economy Max 440 Passengers all Economy

Max Distance With No Passengers Or Cargo

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Summary of fuel used

Table 9. Fuel Break down of Usable fuel.

Above is a full break down of how much fuel has been used after each section in litres. These values are

the total useable fuel of the aircraft as some of the fuel is trapped within the tanks. In Raymer’s book

(Source 3) it also suggests that some of the fuel will be trapped and unusable with this and reserves

equating to approximately 6% of the total fuel. For AG10 that would therefore mean that roughly 490 litres

of fuel would be unusable. Taking into account all the fuel in the tanks with usable and unusable the total

capacity would be 40800 litres.

AG10 would be able to accommodate lots of different configurations of which calculations for 4 different

scenarios have been summarised below for the amount of fuel allowable on the aircraft to make sure the

weight does not go over MTOW.

325 440 325 – Minus A Empty

litres litres litres litres

section cumulative fuel cumulative fuel cumulative fuel cumulative fuel

CLI

MB

0 - V2 20 20 18 15

V2 - 1500ft 98 98 88 72

1500ft - 10000ft 475 475 428 351

10000ft - 20000ft 1243 1243 1119 917

20000ft - 30000ft 2424 2424 2181 1787

30000ft - 35000ft 3186 3186 2867 2350

CRUISE 35000ft 38373 23820 38603 38977

De

cen

t an

d

Lan

d

35000ft - 10000ft 38416 23865 38641 39006

10000ft - 5797.5ft 38437 23888 38659 39020

5797.5ft - 50ft 38459 23911 38678 39035

50ft - 0ft 38462 23915 38681 39038

30

Min

Re

serv

e

50ft - 1500ft 38528 23985 38740 39083

1500ft - 10000ft 38848 24327 39022 39303

10000ft 40042 25601 40073 40124

10000ft - 5797.5ft 40063 25624 40092 40138

5797.5ft - 50ft 40084 25647 40111 40153

50ft - 0ft 40088 25650 40114 40156

To & From Airport 40309 25887 40309 40309

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AG10 - 325 Configuration Summary

kg Tonnes Litres

Total Fuel Used 30385.04 30.39 38462.08

Total Fuel Used + Reserves 31844.3 31.84 40309.24

Total Fuel Used + Res + Unusable 32231.4 32.23 40800

Table 10. AG10 Fuel Summary AG10 - 440 Max Load Configuration Summary

kg Tonnes Litres

Total Fuel Used 18892.48 18.89 14925.06

Total Fuel Used + Reserves 20450.61 20.45 25886.84

Total Fuel Used + Res + Unusable 20837.71 20.84 26376.84

Table 11. AG10 Fuel Summary AG10 – Empty with Max Fuel Summary

kg Tonnes Litres

Total Fuel Used 30839.65 30.84 39037.54

Total Fuel Used + Reserves 31844.3 31.84 40309.24

Total Fuel Used + Res + unusable 32231.4 32.23 40800

Table 12. AG10 Fuel Summary AG10 -325 Configuration with no Additional Cargo

kg Tonnes Litres

Total Fuel Used 30558.25 30.55 38681.33

Total Fuel Used + Reserves 31844.3 31.84 40309.24

Total Fuel Used + Res + unusable 32231.4 32.23 40800

Table 13. AG10 Fuel Summary

OEI For certification purposes OEI has to be considered for all phases of flight and analysis has to be done to

determine how this would affect the performance and handling characteristics of the aircraft.

Take-off and Climb During take-off if an OEI was to occur the decision would be made to either take-off or to stop as quickly as

possible. This decision would be dependent on the critical engine failure speed and balanced field length. If

the speed or distance has not been reached then it would be easier to stop and the runway lengths

required for this scenario for AG10 are shown in table 1 for different altitudes and temperatures. However

if the decision was made to take-off then the relevant calculations have to be undertaken.

The ground run would be shorter if both engines were running however the aircraft must be going faster

than the minimum control speed due to the moments being created if one engine were to go out. This

therefore means that the rudder would be required to produce a restoring moment however if the aircraft

is not going sufficiently fast then this would not be possible.

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m m/s m/s lb/hr/lbf N/s/N

section horizontal distance

Initial speed

knots mach final speed

knots mach sfc sfc

CLI

MB

0 - v2 1800 0 0 0 82.81 160.98 0.24 0.1782 4.95164E-05

v2 - 1500ft

5951.39 82.81 160.98 0.24 88.18 171.43 0.26 0.187 5.19617E-05

Table 14. OEI Take-off and climb data

When an OEI were to occur and the aircraft had to take off and climb, the cruise height would be much

lower because the pilot wants to land as quickly as possible. This time is used to help stabilise the aircraft

so the necessary procedures can be carried out. Due to one engine being out the sfc and thrust is halved

compared to a fully functioning aircraft.

N ft/min mins s N min kg

thrust Rate of climb time taken time taken W1/W2 W2 cumulative time

cumulative fuel

300000 1120 0.36 21.74 1.000042473 1961916.671 0.36 8.49

237000 1426.52 1.16 69.61 1.000307897 1961312.789 1.52 78.54

Table 15. OEI take-off and climb data continued.

When a situation such as OEI occurs there are certain certification requirements which aircrafts have to comply with

one of which being the minimum climb gradient of the second segment. Using information from Source 1, the

requirement which has to be satisfied is that the aircraft must be above a gradient of 0.024 at this segment.

To work out the gradient, the angle of attack has to be determined for the OEI scenario which is given below:

- Due to OEI the thrust is halved

- Drag is similar at this point to when both engines were operational

πœƒ = π‘ π‘–π‘›βˆ’1 [π‘‡βˆ’π·

π‘Š] (Equation 12. Source 1)

πœƒ = sinβˆ’1 [(

4740002 ) βˆ’ 151350.2

1961241.51] = 2.5Β°

To work out the gradient, tan of the angle of attack is done which gave:

tan(2.5) = 0.0437 = 4.37Β° The gradient which is calculated, is above 0.024 which is a requirement therefore this aircraft meets the requirements of OEI climb.

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Cruise & Fuel Dump The amount of time the aircraft has to cruise for is dependent on the weight of the aircraft at take-off. This

is due to the maximum landing weight being less than that of take-off therefore fuel dump is necessary.

For AG10 the fuel dump has been designed to last 12 minutes which is within certification rules and during

this time approximately 20 tonnes of fuel would be dumped to bring the landing weight down to the max

landing weight of 180 tonnes. The aircraft would not be able to fuel dump straight away sometimes due to

location therefore a 10Nm safety factor has been implemented. Consequently the aircraft would fly 10Nm

away from the airport then start the fuel dump mission then return back to the airport to land.

m m/s lb/hr/lbf N/s/N

Action section horizontal distance

Initial speed

knots mach sfc sfc

Fly to fuel dumping site total 10Nm

CR

UIS

E

1500ft 18530 88.184 171.43 0.26 0.187 5.19617E-05

12 minutes fuel dump 1500ft 63492.48 88.184 171.43 0.26 0.187 5.19617E-05

Fly from fuel dumping site total 10Nm

1500ft 18530 88.184 171.43 0.26 0.187 5.19617E-05

Table 16. OEI Cruise data

N N mins N Nm min kg

thrust drag time taken W1/W2 W2 cumalative distance

cumulative time

cumulative fuel used

and dumped

237000 151350.2149 3.50 1.000929745 1959490.962 14.18 5.02 264.26

237000 151350.2149 12 1.003189337 1757061.354 48.45 17.02 20899.28

237000 151350.2149 3.50 1.000929745 1755429.253 58.45 20.53 21065.66

Table 16 continued. OEI Cruise data.

When an OEI has occurred the aircraft is taken to a height of 1500ft unless obstacles around are higher.

Then cruising to the dumping site and back takes 3.5 minutes each way as shown in table 11 if the aircraft

is flying at 171 knots, this may be different depending on severity of the situation. During the 12 minutes

dumping phase it can be seen that more than 20 tonnes of fuel is dropped before the aircraft starts

heading back to the airport as the max landing weight has been achieved. The total cruise distance

travelled during this time is 54Nm.

Land The landing phase is just as difficult due to the rudder already being deflected to keep the aircraft straight.

The aircraft is brought down as gently as possible thus to decrease the risk of losing control and stability.

m m/s m/s lb/hr/lbf N/s/N

De

cen

t D

ece

nt

and

La

nd

section horizontal distance

Initial speed

knots mach final speed

knots mach sfc sfc

1500 - 50ft 9188.28 88.184 171.43 0.26 88.4 171.85 0.26 0.000729 2.02567E-07

50ft - 0ft 1110.08 88.4 171.85 0.26 0 0 0 0.001458 4.05134E-07

Table 17. OEI Landing

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N ft/min mins N Nm min kg

thrust Rate of decent

time taken

W1/W2 W2 cumulative distance

cumulative time

cumulative fuel

24000 836 1.73 1.000001294 1755426.981 63.41 22.26 21065.89

60000 119 0.42 1.000000625 1755425.884 64.01 22.68 21066

Table 18 Continued OEI Landing.

For AG10 with OEI the rate of decent is reduced however this does not affect it too much as the cruise

height was not very high. The total duration of the mission with OEI from take-off to land would take just

under 23 minutes as shown in table 15 and the landing weight would be below the max landing weight at

178942kg. The total distance travelled during an OEI mission would be approximately 64Nm.

Thrust During the flight mission the thrust requirements and thrust produced change due to altitude and speed.

Summary of Requirements at different Phases

This table shows how the thrust varies greatly depending

on the altitude from 100% at standstill to 20.5% at cruise

and 4% during decent.

Table 19. Thrust Variation

Below the thrust variation of the take-off phase to cruise is shown graphically and it can be seen that it

reduces with altitude.

Graph 6. Thrust Variation.

feet N

height thrust

Climb

0 600000

1500 474000

10000 276000

20000 204000

30000 144000

Cruise 35000 123000

Decent

10000 24000

5797.5 24000

50 24000

50 60000

0 30000

0

100000

200000

300000

400000

500000

600000

700000

0 5000 10000 15000 20000 25000 30000 35000 40000

Thru

st in

N

Height in Feet

Thrust at Different Altitudes

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Mission Profile The mission profile of any configuration scenario is similar however the cruising time is different. The take-

off and climb phase to 35000ft takes just under 28 minutes whereas decent and landing takes around 14

minutes. The main part of the flight which takes the most time is the cruise element as shown below in

graph 7.

Time The different flight times are dependent on the weight of the aircraft. The heavier it is the shorter the

cruise distance as shown by calculations while the aircraft travels furthest when the weight is lowest.

Graph 7. Variations in Flight Times

A summary of the flight times are shown below which include normal flight times and also when the

reserves have to be used in certain circumstances.

AG10 – 325 Configuration Flight time

Seconds Minutes Hours

Total time 22256.67 370.94 6.18

Total time + 30 Min Reserve

24272.91 404.55 6.74

Table 20. 325 Flight Time

AG10 - 440 Max Load Flight time

Seconds Minutes Hours

Total time 13996.80 233.28 3.89

Total time + 30 Min Reserve 16013.04 266.88 4.45

Table 21. AG10 Fuel Summary

0

5000

10000

15000

20000

25000

30000

35000

40000

0 100 200 300 400 500 600

Alt

itu

de

in F

ee

t

Time in Minutes

Flight Profile Time With Reserve

325 Passengers: Business and Economy Max 440 Passengers all Economy

Max Distance With No Passengers Or Cargo

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AG10 – Empty with Max Fuel Flight time

Seconds Minutes Hours

Total time 31047.60 517.46 8.62

Total time + 30 Min Reserve 33063.84 551.06 9.18

Table 22. AG10 Fuel Summary AG10 -325 Configuration with no Additional Cargo Flight time

Seconds Minutes Hours

Total time 24935.68 415.59 6.93

Total time + 30 Min Reserve 26951.92 449.20 7.49

Table 23. AG10 Fuel Summary As can be seen above the flight time is considerably longer when the aircraft is empty to when it is not and the flight time for AG10 – 325 is 6hrs and 11mins.

Configurations affecting Landing Weights As spoken about earlier the range differs when the aircraft configurations are different however this also

effects the landing weight of the aircraft. AG10 has been designed to land at a maximum weight of 181

tonnes which is achieved in the 440 configuration however after different scenarios the landing weights

are different as shown below. After a full flight the only weight to decrease is the fuel used so therefore

the landing weight is a function of the fuel within the tanks and the range flown.

Landing weights after full range achieved with fuel available. AG10 – 325 Landing Weight

N Tonnes

Max Landing Weight 1663922.746 169.61

Table 24. AG10 Landing Weight. AG10 – 440 Max Load Landing Weight

N Tonnes

Max Landing Weight 1776664.803 181.12

Table 25. AG10 Landing Weight. AG10 – Empty with Max Fuel Landing Weight

N Tonnes

Max Landing Weight 1144437.993 116.66

Table 26 AG10 Landing Weight. AG10 – 325 Configuration with no Additional Cargo Landing Weight

N Tonnes

Max Landing Weight 1453410.824 148.16

Table 27. AG10 Landing Weight.

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Payload vs Range Graph The payload carried by AG10 has a direct impact on the range it can achieve. Below is a graphical

representation on how it is affected with different payloads.

Graph 8. Payload vs Range Graph for AG10. From the graph above the approximate range can be determined if the payload and passengers flying are known.

Aircraft Ceiling AG10 will be cruising at 35000ft however the aircraft service ceiling and absolute ceiling have to be

determined for certification purposes.

At the service ceiling of the aircraft it is unable to climb at 100ft/min. After carrying out the relevant

calculations the service ceiling of AG10 was 40000ft. This seems like a reasonable number as the aircraft

has large engines therefore has some extra thrust when required which in turn means it can fly at a fairly

high altitude.

The absolute ceiling is an altitude at which point the thrust equals the drag therefore there is no excess

power to help the aircraft climb.

From carrying out the calculations the absolute ceiling of this aircraft is approximately 47000ft.

0

10000

20000

30000

40000

50000

60000

70000

0 500 1000 1500 2000 2500 3000 3500 4000 4500

Pas

sen

ger

+ Lu

ggag

e +

Ad

dit

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argo

We

igh

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g

Nautical Miles

Payload vs Range Graph

325 Passenger Range 2700Nm Range at Max Payload 1648Nm

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Aircraft Comparison The purpose of this project was to develop a concept which would be more suited to flying the range

specified with 325 passengers compared to the aircrafts in the market currently. This would therefore be

more beneficial for the airline companies as running costs would be less therefore these savings could be

passed onto the customers.

AG10-325 was compared with 2 other similar aircrafts which could be used to fulfil the same mission to see

approximately how much fuel would be required to do the same mission. Below are the figures from which

the comparison was carried out.

A300-600 A330-300 AG10

Fuel Capacity Total Litres 68150 97530 40800

Approximate fuel needed to fly 2700Nm (By Ratio)

Litres 45434 43155 40800

Litres per Nm 16.83 15.98 15.11

Table 28. Fuel Comparison for 2700Nm

As can be seen in table 28, the aircrafts compared could carry a lot more fuel however to get a more

accurate comparison the fuel was reduced to the approximate required to fly 2700Nm using ratios. Once

that was done the litres per nautical miles could be determined which would be if the aircraft were to fly

2700Nm. From this comparison it could be seen that AG10 was more efficient at this stage compared to

the older aircrafts.

However further analysis was carried out to see how the figures would be effected if the amount of seats

within the aircraft were taken into account to see roughly how much fuel would be used per person.

A300-600 A330-300 AG10

Number of seats max 266 440 440

Number of seats typical

266 300 325

Litres per Nm per Person (max seats)

0.0632 0.0363 0.0343

Litres per Nm per Person (typical seating)

0.0632 0.0533 0.0465

Table 29. Fuel Comparison per Seating Layout.

As can be seen from these calculations, AG10 uses less fuel per person per nautical mile. This is due to the

improvement in efficiency of the engines and aerodynamics but also due to AG10 carrying more

passengers in its normal seating layout.

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Below a table has been created to show how much more fuel is require by the other aircrafts compared to

AG10 to fly the same range of 2700Nm.

Aircraft (%)

A300-600 11.4

A330-300 5.78 Table 30. AG10 Comparisons.

The comparisons are very vague and only give a rough approximation however to get a better

understanding on how much more efficient AG10 is compared to the other aircrafts a full SFC calculation

would have to be carried out instead of using ratios and scaling which has been done to achieve these

values.

Summary From the analysis and calculations which have been carried out for AG10 it can be seen that this aircraft

has the potential to be competitive in the market it is required for as it can carry the amount of people

which is required and can fly in the region of 2700Nm depending on the configuration and payload.

Aircraft Take-off Weight

Kg Landing Weight

Kg Fuel

Litres

AG10-325 200000 169615 40800

AG10-440 200000 181108 26377

AG10- 325 Minus Additional Cargo

180000 148156 40800

AG10-Empty Max Fuel 147500 116660 40800 Table 31. AG10 Weight & Fuel Summary.

Aircraft Range

Nm Passengers

AG10-325 2700 325

AG10-440 1648 440

AG10- 325 Minus Additional Cargo

3042 325

AG10-Empty Max Fuel 3820 0 Table 32. AG10 Passenger & Range Summary.

References Source 1: Ken Hart notes Source 2: http://www.rolls-royce.com/civil/products/largeaircraft/trent_1000/ (18/11/13) Source 3: Raymer, D.P, Aircraft design: A conceptual approach (4th edition)

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General Aircraft Specification GENERAL Aircraft Type – AG10 -325 Unit Price per Aircraft – $230,000,000 DIMENSIONS Total Length – 64.8m Wing Span (Inc Fuselage) – 54.4m WING Wing Area – 305.5m2 Dihedral Angle – 4 Degrees Aspect Ratio – 8 Double Slotted Flaps, Max Deflection 40Β° Double Slotted Slats, Max Deflection 20Β° Lift/Drag = 17.312 Sweep Angle 36Β° Wing Loading – 5904N/m2 PERFORMANCE Lift-off Speed – 75.9m/s – 147.6 Knots Runway Length – 1811m ISA Sea Level Range – 2700Nm Max 325 Configuration Cruise Altitude – 35000ft Service Ceiling – 40000ft Absolute Ceiling – 47000ft Cruise Speed – Mach 0.8 – 236m/s PROPULSION Engine – Rolls Royce Trent 1000 Thrust – Max Sea Level 300kN Each Bypass Ratio – 10:1 Engine Weight – 5765 Kg APU Honeywell HGT1700 331 Series Service Ceiling of 43,000ft 17,000Hrs 10% More Efficient Than Current Ones Control Surfaces Horizontal Tail Surface Area – 73.51m2

Elevators Size – 19.38m2, Deflection - 25Β° Vertical Tail Surface Area – 54.86m2

Rudders Size – 19.2m2, Deflection – 35Β° Aileron Area – 6.07m2 , Deflection - 15Β°

SEATING LAYOUT Total Passengers 325 Business Passengers – 48 Business Seat Pitch – 36” Economy Passengers – 277 Economy Pitch – 32” Aisle Width Business – 25.4” Aisle Width Economy – 21” WEIGHTS & LOADINGS Max Take-off Weight – 200,000 Kg Max Landing Weight – 181,000 Kg Max Payload – 20,000 Kg Max Fuel – 40800 Litres – 32232 Kg Passengers + Luggage – 32500 Kg MATERIALS Fuselage – Aluminium Alloy 2024 Nose Gear – Aluminium Alloy 7079 Wings – Reinforced Carbon Fibre Main Gear – Titanium Alloy (Ti 5-5-5-3) Tail Surfaces – Carbon Fibre Composites Tyres Make – Good Year Nose Gear Tyre Size – H46*18-20 Nose Gear – One Bogie, 2 Tyres Main Gear – 2 Bogies, 4 Tyres Each Main Gear Tyre Size – 52*20.5-23 Aircraft Velocities Minimum Control Speed – 125Knots Critical Engine Failure Speed – 130Knots Rotation Speed – 132Knots Stall Speed – 134Knots Minimum Unstick Speed – 139Knots Lift of Speed – 148Knots Turn Around Time – 43 Minutes

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General Arrangement