737 Hand Calculations

SL Thrust SL TSFC Bypass RatioCFM56-7B24 24200 0.37 5.3CFM56-7B26 26300 0.38 5.1CFM56-7B27 27300 0.38 5.1

Mach Altitude γ Pressure_std (psi) Pressure_alt (psi) δ_0 Temp_std (R) Temp_alt (R)0.00 0 1.4 14.6950 14.6950 1.000000 518.67 518.670.05 1.0017510.10 1.0070180.15 1.0158390.20 1.0282810.25 1.0444380.30 1.0644300.35 1.0884080.40 1.1165520.45 1.1490720.50 1.1862130.55 1.2282520.60 1.2755040.65 1.3283220.70 1.3871010.75 1.4522790.80 1.5243400.83 1.571101

Mach Altitude γ Pressure_std (psi) Pressure_alt (psi) δ_0 Temp_std (R) Temp_alt (R)0.00 10,000 1.4 14.6950 10.1080 0.687853 518.67 483.030.05 0.6890580.10 0.6926800.15 0.6987480.20 0.7073060.25 0.7184200.30 0.7321720.35 0.7486650.40 0.7680240.45 0.7903930.50 0.8159400.55 0.8448570.60 0.8773590.65 0.9136900.70 0.9541220.75 0.9989550.80 1.0485220.83 1.080686

Mach Altitude γ Pressure_std (psi) Pressure_alt (psi) δ_0 Temp_std (R) Temp_alt (R)0.00 20,000 1.4 14.6950 6.7586 0.459925 518.67 447.42

0.05 0.4607310.10 0.4631530.15 0.4672100.20 0.4729320.25 0.4803630.30 0.4895580.35 0.5005860.40 0.5135300.45 0.5284870.50 0.5455690.55 0.5649040.60 0.5866360.65 0.6109290.70 0.6379630.75 0.6679400.80 0.7010820.83 0.722589


Mach Altitude γ Pressure_std (psi) Pressure_alt (psi) δ_0 Temp_std (R) Temp_alt (R)0.00 35,000 1.4 14.6950 3.4676 0.235971 518.67 394.060.05 0.2363850.10 0.2376270.15 0.2397090.20 0.2426450.25 0.2464570.30 0.2511750.35 0.256833

0.40 0.2634740.45 0.2711480.50 0.2799120.55 0.2898320.60 0.3009820.65 0.3134460.70 0.3273160.75 0.3426960.80 0.3597010.83 0.370735


Mach Altitude γ Pressure_std (psi) Pressure_alt (psi) δ_0 Temp_std (R) Temp_alt (R)0.00 41,000 1.4 14.6950 1.6917 0.115121 518.67 389.970.05 0.1153220.10 0.1159290.15 0.1169440.20 0.1183770.25 0.1202370.30 0.1225380.35 0.1252980.40 0.1285380.45 0.1322820.50 0.1365580.55 0.1413970.60 0.1468370.65 0.1529180.70 0.159684

0.75 0.1671880.80 0.1754830.83 0.180866

θ_0 θ 7B24 - Thrust 7B24 - TSFC 7B26 - Thrust 7B26 - TSFC 7B27 - Thrust1.000000 1.000000 24200.00 0.45000000 26300.00 0.45000000 27300.001.000500 21562.74 0.47700000 23433.89 0.47700000 24324.911.002000 20502.29 0.50400000 22281.42 0.50400000 23128.621.004500 19716.84 0.53100000 21427.80 0.53100000 22242.551.008000 19080.06 0.55800000 20735.77 0.55800000 21524.201.012500 18541.31 0.58500000 20150.27 0.58500000 20916.441.018000 18073.07 0.61200000 19641.40 0.61200000 20388.221.024500 17657.52 0.63900000 19189.79 0.63900000 19919.441.032000 17281.55 0.66600000 18781.19 0.66600000 19495.301.040500 16934.53 0.69300000 18404.05 0.69300000 19103.821.050000 16607.13 0.72000000 18048.24 0.72000000 18734.491.060500 16290.65 0.74700000 17704.31 0.74700000 18377.471.072000 15976.56 0.77400000 17362.96 0.77400000 18023.151.084500 15656.17 0.80100000 17014.77 0.80100000 17661.711.098000 15320.38 0.82800000 16649.83 0.82800000 17282.901.112500 14959.45 0.85500000 16257.58 0.85500000 16875.741.128000 14562.83 0.88200000 15826.55 0.88200000 16428.321.137780 14302.97 0.89820000 15544.14 0.89820000 16135.17


θ_0 θ 7B24 - Thrust 7B24 - TSFC 7B26 - Thrust 7B26 - TSFC 7B27 - Thrust0.862629 0.862629 11130.19 0.41795030 12096.03 0.41795030 12555.96

0.863061 9928.04 0.44302732 10789.56 0.44302732 11199.810.864355 9471.55 0.46810434 10293.46 0.46810434 10684.850.866511 9160.78 0.49318136 9955.72 0.49318136 10334.270.869530 8936.97 0.51825838 9712.50 0.51825838 10081.790.873412 8776.72 0.54333540 9538.33 0.54333540 9901.010.878157 8667.68 0.56841241 9419.83 0.56841241 9778.000.883764 8602.43 0.59348943 9348.93 0.59348943 9704.400.890234 8576.13 0.61856645 9320.34 0.61856645 9674.730.897566 8585.49 0.64364347 9330.51 0.64364347 9685.290.905761 8628.24 0.66872049 9376.98 0.66872049 9733.510.914818 8702.84 0.69379751 9458.04 0.69379751 9817.660.924739 8808.25 0.71887452 9572.60 0.71887452 9936.570.935522 8943.86 0.74395154 9719.98 0.74395154 10089.560.947167 9109.40 0.76902856 9899.88 0.76902856 10276.300.959675 9304.85 0.79410558 10112.29 0.79410558 10496.790.973046 9530.43 0.81918260 10357.45 0.81918260 10751.270.981482 9680.41 0.83422881 10520.45 0.83422881 10920.46


θ_0 θ 7B24 - Thrust 7B24 - TSFC 7B26 - Thrust 7B26 - TSFC 7B27 - Thrust0.759751 0.759751 5710.51 0.39223661 6206.05 0.39223661 6442.020.760131 5093.73 0.41577081 5535.74 0.41577081 5746.230.761270 4859.52 0.43930500 5281.21 0.43930500 5482.020.763170 4700.07 0.46283920 5107.93 0.46283920 5302.150.765829 4585.25 0.48637340 4983.14 0.48637340 5172.610.769248 4503.02 0.50990759 4893.78 0.50990759 5079.860.773426 4447.08 0.53344179 4832.99 0.53344179 5016.750.778365 4413.61 0.55697598 4796.60 0.55697598 4978.99

0.784063 4400.11 0.58051018 4781.94 0.58051018 4963.760.790521 4404.91 0.60404438 4787.16 0.60404438 4969.180.797738 4426.85 0.62757857 4811.00 0.62757857 4993.920.805716 4465.12 0.65111277 4852.59 0.65111277 5037.100.814453 4519.20 0.67464697 4911.36 0.67464697 5098.110.823950 4588.78 0.69818116 4986.98 0.69818116 5176.600.834206 4673.71 0.72171536 5079.28 0.72171536 5272.410.845223 4773.99 0.74524956 5188.26 0.74524956 5385.530.856999 4889.73 0.76878375 5314.04 0.76878375 5516.100.864429 4966.68 0.78290427 5397.67 0.78290427 5602.91


θ_0 θ 7B24 - Thrust 7B24 - TSFC 7B26 - Thrust 7B26 - TSFC 7B27 - Thrust0.751865 0.751865 2785.92 0.39019576 3027.68 0.39019576 3142.800.752241 2485.02 0.41360751 2700.66 0.41360751 2803.350.753369 2370.76 0.43701925 2576.49 0.43701925 2674.450.755249 2292.97 0.46043100 2491.95 0.46043100 2586.700.757880 2236.95 0.48384275 2431.07 0.48384275 2523.510.761264 2196.84 0.50725449 2387.48 0.50725449 2478.250.765399 2169.55 0.53066624 2357.82 0.53066624 2447.470.770286 2153.22 0.55407798 2340.07 0.55407798 2429.040.775925 2146.63 0.57748973 2332.91 0.57748973 2421.620.782316 2148.98 0.60090147 2335.46 0.60090147 2424.260.789459 2159.68 0.62431322 2347.09 0.62431322 2436.330.797353 2178.35 0.64772497 2367.38 0.64772497 2457.390.806000 2204.73 0.67113671 2396.05 0.67113671 2487.160.815398 2238.68 0.69454846 2432.94 0.69454846 2525.450.825548 2280.11 0.71796020 2477.97 0.71796020 2572.19

0.836450 2329.03 0.74137195 2531.14 0.74137195 2627.380.848104 2385.50 0.76478369 2592.50 0.76478369 2691.080.855457 2423.04 0.77883074 2633.30 0.77883074 2733.43

7B27 - TSFC0.450000000.477000000.50400000 Design Comparison Values0.531000000.558000000.585000000.612000000.639000000.666000000.693000000.720000000.747000000.774000000.801000000.828000000.855000000.882000000.89820000

7B27 - TSFC0.434264170.460320020.486375870.512431720.538487570.564543430.590599280.616655130.642710980.668766830.694822680.720878530.746934380.772990230.799046080.825101930.851157780.86679129

7B27 - TSFC0.41795030

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000CFM56-7B24 Mattingly Thrust

Sea Level10,000 ft20,000 ft30,000 ft35,000 ft40,000 ft41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.443027320.468104340.493181360.518258380.543335400.568412410.593489430.618566450.643643470.668720490.693797510.718874520.743951540.769028560.794105580.819182600.83422881

7B27 - TSFC0.400987850.425047120.449106390.473165660.497224930.521284200.545343470.569402740.593462020.617521290.641580560.665639830.689699100.713758370.737817640.761876910.785936180.80037175

7B27 - TSFC0.392236610.415770810.439305000.462839200.486373400.509907590.533441790.55697598

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.580510180.604044380.627578570.651112770.674646970.698181160.721715360.745249560.768783750.78290427

7B27 - TSFC0.390195760.413607510.437019250.460431000.483842750.507254490.530666240.554077980.577489730.600901470.624313220.647724970.671136710.694548460.717960200.741371950.764783690.77883074

7B27 - TSFC0.390195760.413607510.437019250.460431000.483842750.507254490.530666240.554077980.577489730.600901470.624313220.647724970.671136710.694548460.71796020

0.741371950.764783690.77883074

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0

CFM56-7B Mattingly Thrust Specific Fuel Consumption


Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0



Mach Number

TSFC

(1/h

r)

Density Table Howe Constants TableAltitude Density ρ_std σ Mach K_1t

0 0.07647 0.076 1.000 0.0-0.4 1.00010,000 0.05648 0.076 0.739 0.0-0.9 0.88020,000 0.04077 0.076 0.53330,000 0.02865 0.076 0.37535,000 0.02285 0.076 0.299 Gamma40,000 0.01889 0.076 0.247 1.441,000 0.01801 0.076 0.236

c'_7B24 c'_7B26 & 270.66 0.67

Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B240.00 0 24199.31 26299.25 27299.23 0.3700000.05 23216.82 25242.02 26201.80 0.3843470.10 22234.33 24184.79 25104.37 0.3986940.15 21251.84 23127.56 24006.94 0.4130410.20 20269.34 22070.33 22909.51 0.4273880.25 19286.85 21013.10 21812.08 0.4417340.30 18304.36 19955.87 20714.65 0.4560810.35 17321.87 18898.64 19617.22 0.4704280.40 16339.38 17841.41 18519.79 0.4847750.45 15976.39 17446.92 18110.31 0.4991220.50 15613.40 17052.44 17700.82 0.5134690.55 15250.41 16657.95 17291.33 0.5278160.60 14887.42 16263.46 16881.84 0.5421630.65 14524.43 15868.97 16472.35 0.5565100.70 14161.44 15474.48 16062.86 0.5708560.75 13798.45 15079.99 15653.38 0.5852030.80 13435.46 14685.50 15243.89 0.5995500.83 13217.66 14448.81 14998.19 0.608158

Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B240.00 10,000 19574.27 21272.86 22081.71 0.3611390.05 18779.55 20417.69 21194.03 0.3751420.10 17984.84 19562.52 20306.34 0.3891450.15 17190.12 18707.35 19418.66 0.4031490.20 16395.41 17852.18 18530.97 0.4171520.25 15600.69 16997.02 17643.29 0.4311550.30 14805.98 16141.85 16755.60 0.4451580.35 14011.26 15286.68 15867.92 0.4591620.40 13216.54 14431.51 14980.23 0.4731650.45 12922.93 14112.42 14649.01 0.487168

0.50 12629.32 13793.32 14317.78 0.5011720.55 12335.70 13474.23 13986.56 0.5151750.60 12042.09 13155.14 13655.33 0.5291780.65 11748.47 12836.04 13324.11 0.5431810.70 11454.86 12516.95 12992.88 0.5571850.75 11161.25 12197.86 12661.65 0.5711880.80 10867.63 11878.77 12330.43 0.5851910.83 10691.46 11687.31 12131.69 0.593593

Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B240.00 20,000 15581.24 16933.33 17577.18 0.3518440.05 14948.64 16252.61 16870.58 0.3654870.10 14316.04 15571.89 16163.97 0.3791300.15 13683.44 14891.17 15457.37 0.3927730.20 13050.84 14210.45 14750.77 0.4064160.25 12418.24 13529.73 14044.17 0.4200580.30 11785.65 12849.01 13337.56 0.4337010.35 11153.05 12168.29 12630.96 0.4473440.40 10520.45 11487.57 11924.36 0.4609870.45 10286.73 11233.57 11660.70 0.4746300.50 10053.01 10979.57 11397.04 0.4882730.55 9819.29 10725.57 11133.39 0.5019160.60 9585.58 10471.57 10869.73 0.5155590.65 9351.86 10217.57 10606.07 0.5292020.70 9118.14 9963.57 10342.41 0.5428440.75 8884.42 9709.57 10078.75 0.5564870.80 8650.70 9455.57 9815.10 0.5701300.83 8510.47 9303.17 9656.90 0.578316

Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B240.00 30,000 12173.16 13229.51 13732.53 0.3420570.05 11678.93 12697.68 13180.49 0.3553210.10 11184.70 12165.86 12628.44 0.3685840.15 10690.47 11634.03 12076.39 0.3818480.20 10196.24 11102.21 11524.34 0.3951110.25 9702.01 10570.38 10972.29 0.4083740.30 9207.78 10038.55 10420.25 0.4216380.35 8713.55 9506.73 9868.20 0.4349010.40 8219.32 8974.90 9316.15 0.4481650.45 8036.72 8776.46 9110.16 0.4614280.50 7854.12 8578.01 8904.18 0.4746910.55 7671.53 8379.57 8698.19 0.4879550.60 7488.93 8181.13 8492.20 0.5012180.65 7306.33 7982.69 8286.21 0.5144820.70 7123.73 7784.24 8080.22 0.5277450.75 6941.14 7585.80 7874.24 0.5410080.80 6758.54 7387.36 7668.25 0.554272

0.83 6648.98 7268.29 7544.65 0.562230Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B24

0.00 35,000 10389.59 11291.17 11720.49 0.3359200.05 9967.78 10837.27 11249.33 0.3489450.10 9545.96 10383.36 10778.17 0.3619710.15 9124.14 9929.46 10307.00 0.3749960.20 8702.32 9475.55 9835.84 0.3880210.25 8280.51 9021.65 9364.67 0.4010470.30 7858.69 8567.74 8893.51 0.4140720.35 7436.87 8113.84 8422.35 0.4270980.40 7015.05 7659.93 7951.18 0.4401230.45 6859.21 7490.56 7775.38 0.4531480.50 6703.37 7321.20 7599.57 0.4661740.55 6547.52 7151.83 7423.76 0.4791990.60 6391.68 6982.46 7247.95 0.4922250.65 6235.83 6813.09 7072.15 0.5052500.70 6079.99 6643.72 6896.34 0.5182760.75 5924.15 6474.36 6720.53 0.5313010.80 5768.30 6304.99 6544.72 0.5443260.83 5674.80 6203.37 6439.24 0.552142

Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B240.00 40,000 9094.67 9883.88 10259.69 0.3308480.05 8725.43 9486.55 9847.25 0.3436770.10 8356.19 9089.22 9434.81 0.3565050.15 7986.94 8691.88 9022.37 0.3693340.20 7617.70 8294.55 8609.93 0.3821630.25 7248.45 7897.22 8197.49 0.3949920.30 6879.21 7499.89 7785.05 0.4078210.35 6509.97 7102.56 7372.62 0.4206490.40 6140.72 6705.22 6960.18 0.4334780.45 6004.30 6556.97 6806.28 0.4463070.50 5867.88 6408.71 6652.38 0.4591360.55 5731.46 6260.45 6498.49 0.4719640.60 5595.04 6112.19 6344.59 0.4847930.65 5458.62 5963.93 6190.70 0.4976220.70 5322.20 5815.67 6036.80 0.5104510.75 5185.78 5667.42 5882.91 0.5232790.80 5049.36 5519.16 5729.01 0.5361080.83 4967.51 5430.20 5636.68 0.543805

Mach Altitude 7B24 - Thrust 7B26 - Thrust 7B27 - Thrust TSFC 7B240.00 41,000 8794.91 9558.10 9921.53 0.3295830.05 8437.83 9173.86 9522.68 0.3423630.10 8080.76 8789.63 9123.84 0.3551430.15 7723.69 8405.39 8724.99 0.3679220.20 7366.61 8021.16 8326.14 0.380702

0.25 7009.54 7636.92 7927.30 0.3934820.30 6652.47 7252.69 7528.45 0.4062610.35 6295.39 6868.45 7129.61 0.4190410.40 5938.32 6484.22 6730.76 0.4318210.45 5806.40 6340.84 6581.94 0.4446000.50 5674.47 6197.47 6433.12 0.4573800.55 5542.55 6054.10 6284.29 0.4701600.60 5410.63 5910.73 6135.47 0.4829400.65 5278.70 5767.36 5986.65 0.4957190.70 5146.78 5623.99 5837.83 0.5084990.75 5014.86 5480.61 5689.00 0.5212790.80 4882.93 5337.24 5540.18 0.5340580.83 4803.78 5251.22 5450.89 0.541726

K_2t K_3t K_4t s0.000 -0.600 -0.040 0.700

-0.016 -0.300 0.000

Engine Bypass Thrust SL TSFC7B24 5.3 24,200 0.3707B26 5.1 26,300 0.3807B27 5.1 27,300 0.380

TSFC 7B26 & 27 Pressure and Temperatures at atltitude are calculated with ATMOS provided with Reference [1]0.3800000.3940380.408075 Validation Data0.422113 7B24 7B26 7B270.436150 Thrust 24,200 26,300 27,3000.450188 TSFC 0.37 0.38 0.380.4642250.4782630.492300 NOTE: TSFC is assumed to be constant after 11 kft, source [4]0.5063380.5203750.534413 Design Comparison Values0.5484500.5624880.5765250.5905630.6046000.613023

TSFC 7B26 & 270.3708990.3846010.3983020.4120030.4257040.4394060.4531070.4668080.4805100.494211

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000

CFM56-7B24 Howe Thrust

Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.5079120.5216140.5353150.5490160.5627180.5764190.5901200.598341

TSFC 7B26 & 270.3613530.3747020.3880510.4013990.4147480.4280970.4414450.4547940.4681430.4814910.4948400.5081890.5215380.5348860.5482350.5615840.5749320.582942

TSFC 7B26 & 270.3513020.3642800.3772570.3902340.4032120.4161890.4291660.4421440.4551210.4680990.4810760.4940530.5070310.5200080.5329860.5459630.558940

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65

CFM56-7B24 Howe Thrust Specific Fuel Consumption, Constant based on Sea Level Thrust Specific Fuel Consumption

Sea Level10,000 ft20,000 ft30,000 ft35,000 ft41,000 ft

Mach Number

TSFC

(1/h

r)

0.566727TSFC 7B26 & 27

0.3449990.3577430.3704880.3832320.3959770.4087210.4214660.4342100.4469550.4596990.4724440.4851880.4979330.5106780.5234220.5361670.5489110.556558

TSFC 7B26 & 270.3397900.3523420.3648940.3774460.3899980.4025500.4151020.4276550.4402070.4527590.4653110.4778630.4904150.5029670.5155190.5280720.5406240.548155

TSFC 7B26 & 270.3384910.3509950.3634990.3760030.388507

0.4010110.4135160.4260200.4385240.4510280.4635320.4760360.4885400.5010440.5135490.5260530.5385570.546059

Pressure and Temperatures at atltitude are calculated with ATMOS provided with Reference [1]

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65



Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65

CFM56-7B26 and CFM-7B27 Howe Thrust Specific Fuel Consump-tion, Constant based on Sea Level Thrust Specific Fuel Consump-

tion


Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65


tion


Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000



Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1.0



Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900

5000

10000

15000

20000

25000

30000


Sea Level

10,000 ft

20,000 ft

30,000 ft

35,000 ft

40,000 ft

41,000 ft

Mach Number

Thru

st (l

bf)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65



Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65


tion


Mach Number

TSFC

(1/h

r)

0.00 0.10 0.20 0.30 0.40 0.50 0.60 0.70 0.80 0.900.30

0.35

0.40

0.45

0.50

0.55

0.60

0.65


tion


Mach Number

TSFC

(1/h

r)

CFM56 Family Validation PointsStatic Sea Level 35,000 ft @ M=0.8

Engine Model Thrust (lbs) TSFC (1/hr) Thrust (lbs) TSFC (1/hr)CFM56-7B24 24,200 0.37 5,962 N/ACFM56-7B26 26,300 0.38 5,962 N/ACFM56-7B27 27,300 0.38 5,962 N/A

Mattingly 7B24Thrust TSFC

Altitude (ft) Mach Thrust (lbs) % Difference TSFC (1/hr) % DifferenceSea-Level 0 24200.00 0.00 0.4500 19.51

35,000 0.8 4889.73 19.76 0.7688 N/A

Howe 7B24Thrust TSFC

Altitude (ft) Mach Thrust (lbs) % Difference TSFC (1/hr) % DifferenceSea-Level 0 24199.31 0.00 0.3700 0.00

35,000 0.8 5768.30 3.30 0.5443 N/A

SEA LEVEL CONDITION

Method Aspect CFM56-7B24 % Error CFM56-7B26

Validation Thrust 24,200 --- 26,300

TSFC 0.370 --- 0.380

Selected Data Mattingly Thrust 24,200 0.00 26,300

TSFC 0.450 19.51 0.450

Howe Thrust 24,199 0.00 26,299Selected Data TSFC 0.544 0.00 0.380

CRUISE CONDITIONMethod Aspect CFM56-7B24 % Error CFM56-7B26

Validation Thrust 5,962 --- 5,962 TSFC N/A --- N/A

Selected Data Mattingly Thrust 4,890 19.76 5,314TSFC 0.769 N/A 0.769

Howe Thrust 5,768 3.30 6,305Selected Data TSFC 0.544 N/A 0.549

ThrustMethod CFM56 Thrust (lbf) at M=0.0 % Error Thrust (lbf) at M=0.80

Validation -7B24 24,200 --- 5,962-7B26 26,300 --- 5,962-7B27 27,300 --- 5,962

Selected Data Mattingly -7B24 24,200 0.0000 4,890

-7B26 26,300 0.0000 5,314-7B27 27,300 0.0000 5,516

Howe -7B24 24,199 0.0028 5,768-7B26 26,299 0.0028 6,305-7B27 27,299 0.0028 6,545

TSFCMethod CFM56 TSFC (lbf) at M=0.0 % Error TSFC (lbf) at M=0.80

Validation -7B24 0.370 --- N/A-7B26 0.380 --- N/A-7B27 0.380 --- N/A

Mattingly -7B24 0.450 19.51 0.769-7B26 0.450 16.87 0.769-7B27 0.450 16.87 0.450

Selected Data Howe -7B24 0.544 0.00 0.544-7B26 0.380 0.00 0.549-7B27 0.549 0.00 0.549

Citation X Comparisons of Selected Handbook Calculation MethodsMethod M=0.0 % Error M=0.85

MattinglyHigh Bypass Thrust 6764.00 0.00 4889.73HoweSea Level Based Constant TSFC0.330000 100.00 0.508744

Citation X GasTurb SoftwareData Column1TSFC (1/lbf) at M=0.0 % Error TSFC (1/lbf) at M=0.85

Validation 0.3300 --- 0.7600

Lab Manual 0.4500 100.00 0.7688Matched Engine 0.330000 100.00 0.508744

Citation X Installation EffectsAltitude (ft) Mach NumberUninstalled Thrust (lbf)Installed Thrust (lbf) Difference (lbf)

0 0.20 24200 6537 17663.0040,000 0.82 1532 1382 150.0040,000 0.92 1173 1017 156.37

πc=18, R=4.8

7B26 7B27Thrust TSFC

Thrust (lbs) % Difference TSFC (1/hr) % Difference Thrust (lbs)26300.00 0.00 0.4500 16.87 27300.00

5314.04 11.49 0.7688 N/A 5516.10

7B26 7B27Thrust TSFC

Thrust (lbs) % Difference TSFC (1/hr) % Difference Thrust (lbs)26299.25 0.00 0.3800 0.00 27299.23

6304.99 5.59 0.5489 N/A 6544.72

% Error2 CFM56-7B27 % Error3

--- 27300.00 ---

--- 0.380 ---

0.00 27,300 0.00

16.87 0.450 16.87

0.00 27,299 0.000.00 0.380 0.00

%Error CFM56-7B27 %Error2--- 5962.00 ------ N/A ---

11.49 5,516 7.77N/A 0.769 N/A5.59 6,545 9.32N/A 0.549 N/A

% Error---------

19.7622

11.49267.76963.30255.59219.3186

% Error---------

N/AN/AN/AN/AN/AN/A

% Error282.0933.06

% Error2---

#REF!#REF!

7B27Thrust TSFC% Difference TSFC (1/hr) % Difference

0.00 0.4500 16.877.77 0.7688 N/A

7B27Thrust TSFC% Difference TSFC (1/hr) % Difference

0.00 0.3800 0.009.32 0.5489 N/A

Mattingly Thrust Calculations CFM56-7B24Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00 24200.00 16646.04 11130.19 7200.71 5710.51 2785.920.05 21562.74 14848.14 9928.04 6422.98 5093.73 2485.020.10 20502.29 14165.43 9471.55 6127.65 4859.52 2370.760.15 19716.84 13700.64 9160.78 5926.60 4700.07 2292.970.20 19080.06 13365.92 8936.97 5781.81 4585.25 2236.950.25 18541.31 13126.25 8776.72 5678.13 4503.02 2196.840.30 18073.07 12963.18 8667.68 5607.59 4447.08 2169.550.35 17657.52 12865.59 8602.43 5565.37 4413.61 2153.220.40 17281.55 12826.26 8576.13 5548.36 4400.11 2146.630.45 16934.53 12840.26 8585.49 5554.41 4404.91 2148.980.50 16607.13 12904.19 8628.24 5582.07 4426.85 2159.680.55 16290.65 13015.75 8702.84 5630.33 4465.12 2178.350.60 15976.56 13173.40 8808.25 5698.53 4519.20 2204.730.65 15656.17 13068.33 8943.86 5786.26 4588.78 2238.680.70 15320.38 12913.73 9109.40 5893.36 4673.71 2280.110.75 14959.45 12753.93 9304.85 6019.80 4773.99 2329.030.80 14562.83 12582.41 9530.43 6165.75 4889.73 2385.500.83 14302.97 12470.94 9680.41 6262.78 4966.68 2423.04

Mattingly TSFC CFM56-7B24Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00000 0.45000 0.43426 0.41795 0.40099 0.39224 0.390200.05000 0.47700 0.46032 0.44303 0.42505 0.41577 0.413610.10000 0.50400 0.48638 0.46810 0.44911 0.43931 0.437020.15000 0.53100 0.51243 0.49318 0.47317 0.46284 0.460430.20000 0.55800 0.53849 0.51826 0.49722 0.48637 0.483840.25000 0.58500 0.56454 0.54334 0.52128 0.50991 0.507250.30000 0.61200 0.59060 0.56841 0.54534 0.53344 0.530670.35000 0.63900 0.61666 0.59349 0.56940 0.55698 0.554080.40000 0.66600 0.64271 0.61857 0.59346 0.58051 0.577490.45000 0.69300 0.66877 0.64364 0.61752 0.60404 0.600900.50000 0.72000 0.69482 0.66872 0.64158 0.62758 0.624310.55000 0.74700 0.72088 0.69380 0.66564 0.65111 0.647720.60000 0.77400 0.74693 0.71887 0.68970 0.67465 0.671140.65000 0.80100 0.77299 0.74395 0.71376 0.69818 0.694550.70000 0.82800 0.79905 0.76903 0.73782 0.72172 0.717960.75000 0.85500 0.82510 0.79411 0.76188 0.74525 0.741370.80000 0.88200 0.85116 0.81918 0.78594 0.76878 0.764780.83000 0.89820 0.86679 0.83423 0.80037 0.78290 0.77883

Howe Thrust CFM56-7B24Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00 24199.31 19574.27 15581.24 12173.16 10389.59 8794.910.05 23216.82 18779.55 14948.64 11678.93 9967.78 8437.830.10 22234.33 17984.84 14316.04 11184.70 9545.96 8080.760.15 21251.84 17190.12 13683.44 10690.47 9124.14 7723.690.20 20269.34 16395.41 13050.84 10196.24 8702.32 7366.610.25 19286.85 15600.69 12418.24 9702.01 8280.51 7009.540.30 18304.36 14805.98 11785.65 9207.78 7858.69 6652.470.35 17321.87 14011.26 11153.05 8713.55 7436.87 6295.390.40 16339.38 13216.54 10520.45 8219.32 7015.05 5938.320.45 15976.39 12922.93 10286.73 8036.72 6859.21 5806.400.50 15613.40 12629.32 10053.01 7854.12 6703.37 5674.470.55 15250.41 12335.70 9819.29 7671.53 6547.52 5542.550.60 14887.42 12042.09 9585.58 7488.93 6391.68 5410.630.65 14524.43 11748.47 9351.86 7306.33 6235.83 5278.700.70 14161.44 11454.86 9118.14 7123.73 6079.99 5146.780.75 13798.45 11161.25 8884.42 6941.14 5924.15 5014.860.80 13435.46 10867.63 8650.70 6758.54 5768.30 4882.930.83 13217.66 10691.46 8510.47 6648.98 5674.80 4803.78

Hower TSFC CFM56-7B24Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00000 0.37000 0.36114 0.35184 0.34206 0.33592 0.329580.05000 0.38435 0.37514 0.36549 0.35532 0.34895 0.342360.10000 0.39869 0.38915 0.37913 0.36858 0.36197 0.355140.15000 0.41304 0.40315 0.39277 0.38185 0.37500 0.367920.20000 0.42739 0.41715 0.40642 0.39511 0.38802 0.380700.25000 0.44173 0.43116 0.42006 0.40837 0.40105 0.393480.30000 0.45608 0.44516 0.43370 0.42164 0.41407 0.406260.35000 0.47043 0.45916 0.44734 0.43490 0.42710 0.419040.40000 0.48478 0.47316 0.46099 0.44816 0.44012 0.431820.45000 0.49912 0.48717 0.47463 0.46143 0.45315 0.444600.50000 0.51347 0.50117 0.48827 0.47469 0.46617 0.457380.55000 0.52782 0.51517 0.50192 0.48795 0.47920 0.470160.60000 0.54216 0.52918 0.51556 0.50122 0.49222 0.482940.65000 0.55651 0.54318 0.52920 0.51448 0.50525 0.495720.70000 0.57086 0.55718 0.54284 0.52774 0.51828 0.508500.75000 0.58520 0.57119 0.55649 0.54101 0.53130 0.521280.80000 0.59955 0.58519 0.57013 0.55427 0.54433 0.534060.83000 0.60816 0.59359 0.57832 0.56223 0.55214 0.54173

Mattingly Thrust Calculations CFM56-7B26Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00 26300.00 18090.53 12096.03 7825.57 6206.05 3027.680.05 23433.89 16136.61 10789.56 6980.34 5535.74 2700.660.10 22281.42 15394.66 10293.46 6659.39 5281.21 2576.490.15 21427.80 14889.54 9955.72 6440.89 5107.93 2491.950.20 20735.77 14525.78 9712.50 6283.53 4983.14 2431.070.25 20150.27 14265.30 9538.33 6170.86 4893.78 2387.480.30 19641.40 14088.08 9419.83 6094.20 4832.99 2357.820.35 19189.79 13982.03 9348.93 6048.32 4796.60 2340.070.40 18781.19 13939.28 9320.34 6029.83 4781.94 2332.910.45 18404.05 13954.49 9330.51 6036.41 4787.16 2335.460.50 18048.24 14023.98 9376.98 6066.47 4811.00 2347.090.55 17704.31 14145.22 9458.04 6118.91 4852.59 2367.380.60 17362.96 14316.55 9572.60 6193.03 4911.36 2396.050.65 17014.77 14202.36 9719.98 6288.38 4986.98 2432.940.70 16649.83 14034.34 9899.88 6404.76 5079.28 2477.970.75 16257.58 13860.68 10112.29 6542.18 5188.26 2531.140.80 15826.55 13674.27 10357.45 6700.79 5314.04 2592.500.83 15544.14 13553.13 10520.45 6806.24 5397.67 2633.30

Mattingly TSFC CFM56-7B26Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00000 0.45000 0.43426 0.41795 0.40099 0.39224 0.390200.05000 0.47700 0.46032 0.44303 0.42505 0.41577 0.413610.10000 0.50400 0.48638 0.46810 0.44911 0.43931 0.437020.15000 0.53100 0.51243 0.49318 0.47317 0.46284 0.460430.20000 0.55800 0.53849 0.51826 0.49722 0.48637 0.483840.25000 0.58500 0.56454 0.54334 0.52128 0.50991 0.507250.30000 0.61200 0.59060 0.56841 0.54534 0.53344 0.530670.35000 0.63900 0.61666 0.59349 0.56940 0.55698 0.554080.40000 0.66600 0.64271 0.61857 0.59346 0.58051 0.577490.45000 0.69300 0.66877 0.64364 0.61752 0.60404 0.600900.50000 0.72000 0.69482 0.66872 0.64158 0.62758 0.624310.55000 0.74700 0.72088 0.69380 0.66564 0.65111 0.647720.60000 0.77400 0.74693 0.71887 0.68970 0.67465 0.671140.65000 0.80100 0.77299 0.74395 0.71376 0.69818 0.694550.70000 0.82800 0.79905 0.76903 0.73782 0.72172 0.717960.75000 0.85500 0.82510 0.79411 0.76188 0.74525 0.741370.80000 0.88200 0.85116 0.81918 0.78594 0.76878 0.764780.83000 0.89820 0.86679 0.83423 0.80037 0.78290 0.77883

Howe Thrust CFM56-7B26Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00 26299.25 21272.86 16933.33 13229.51 11291.17 9558.100.05 25242.02 20417.69 16252.61 12697.68 10837.27 9173.860.10 24184.79 19562.52 15571.89 12165.86 10383.36 8789.630.15 23127.56 18707.35 14891.17 11634.03 9929.46 8405.390.20 22070.33 17852.18 14210.45 11102.21 9475.55 8021.160.25 21013.10 16997.02 13529.73 10570.38 9021.65 7636.920.30 19955.87 16141.85 12849.01 10038.55 8567.74 7252.690.35 18898.64 15286.68 12168.29 9506.73 8113.84 6868.450.40 17841.41 14431.51 11487.57 8974.90 7659.93 6484.220.45 17446.92 14112.42 11233.57 8776.46 7490.56 6340.840.50 17052.44 13793.32 10979.57 8578.01 7321.20 6197.470.55 16657.95 13474.23 10725.57 8379.57 7151.83 6054.100.60 16263.46 13155.14 10471.57 8181.13 6982.46 5910.730.65 15868.97 12836.04 10217.57 7982.69 6813.09 5767.360.70 15474.48 12516.95 9963.57 7784.24 6643.72 5623.990.75 15079.99 12197.86 9709.57 7585.80 6474.36 5480.610.80 14685.50 11878.77 9455.57 7387.36 6304.99 5337.240.83 14448.81 11687.31 9303.17 7268.29 6203.37 5251.22

Hower TSFC CFM56-7B26 and -7B27Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

0.00000 0.38000 0.37090 0.36135 0.35130 0.34500 0.338490.05000 0.39404 0.38460 0.37470 0.36428 0.35774 0.350990.10000 0.40808 0.39830 0.38805 0.37726 0.37049 0.363500.15000 0.42211 0.41200 0.40140 0.39023 0.38323 0.376000.20000 0.43615 0.42570 0.41475 0.40321 0.39598 0.388510.25000 0.45019 0.43941 0.42810 0.41619 0.40872 0.401010.30000 0.46423 0.45311 0.44145 0.42917 0.42147 0.413520.35000 0.47826 0.46681 0.45479 0.44214 0.43421 0.426020.40000 0.49230 0.48051 0.46814 0.45512 0.44695 0.438520.45000 0.50634 0.49421 0.48149 0.46810 0.45970 0.451030.50000 0.52038 0.50791 0.49484 0.48108 0.47244 0.463530.55000 0.53441 0.52161 0.50819 0.49405 0.48519 0.476040.60000 0.54845 0.53532 0.52154 0.50703 0.49793 0.488540.65000 0.56249 0.54902 0.53489 0.52001 0.51068 0.501040.70000 0.57653 0.56272 0.54823 0.53299 0.52342 0.513550.75000 0.59056 0.57642 0.56158 0.54596 0.53617 0.526050.80000 0.60460 0.59012 0.57493 0.55894 0.54891 0.538560.83000 0.61302 0.59834 0.58294 0.56673 0.55656 0.54606

Mattingly Thrust Calculations CFM56-7B27Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft)

0.00 27300.00 18778.39 12555.96 8123.12 6442.020.05 24324.91 16750.17 11199.81 7245.76 5746.230.10 23128.62 15980.00 10684.85 6912.60 5482.020.15 22242.55 15455.68 10334.27 6685.79 5302.150.20 21524.20 15078.09 10081.79 6522.45 5172.610.25 20916.44 14807.71 9901.01 6405.49 5079.860.30 20388.22 14623.75 9778.00 6325.91 5016.750.35 19919.44 14513.66 9704.40 6278.29 4978.990.40 19495.30 14469.29 9674.73 6259.10 4963.760.45 19103.82 14485.08 9685.29 6265.93 4969.180.50 18734.49 14557.21 9733.51 6297.13 4993.920.55 18377.47 14683.06 9817.66 6351.57 5037.100.60 18023.15 14860.90 9936.57 6428.50 5098.110.65 17661.71 14742.37 10089.56 6527.48 5176.600.70 17282.90 14567.97 10276.30 6648.29 5272.410.75 16875.74 14387.70 10496.79 6790.94 5385.530.80 16428.32 14194.21 10751.27 6955.57 5516.100.83 16135.17 14068.46 10920.46 7065.03 5602.91

Mattingly TSFC CFM56-7B27Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft)

0.00000 0.45000 0.43426 0.41795 0.40099 0.392240.05000 0.47700 0.46032 0.44303 0.42505 0.415770.10000 0.50400 0.48638 0.46810 0.44911 0.439310.15000 0.53100 0.51243 0.49318 0.47317 0.462840.20000 0.55800 0.53849 0.51826 0.49722 0.486370.25000 0.58500 0.56454 0.54334 0.52128 0.509910.30000 0.61200 0.59060 0.56841 0.54534 0.533440.35000 0.63900 0.61666 0.59349 0.56940 0.556980.40000 0.66600 0.64271 0.61857 0.59346 0.580510.45000 0.69300 0.66877 0.64364 0.61752 0.604040.50000 0.72000 0.69482 0.66872 0.64158 0.627580.55000 0.74700 0.72088 0.69380 0.66564 0.651110.60000 0.77400 0.74693 0.71887 0.68970 0.674650.65000 0.80100 0.77299 0.74395 0.71376 0.698180.70000 0.82800 0.79905 0.76903 0.73782 0.721720.75000 0.85500 0.82510 0.79411 0.76188 0.745250.80000 0.88200 0.85116 0.81918 0.78594 0.768780.83000 0.89820 0.86679 0.83423 0.80037 0.78290

Howe Thrust CFM56-7B27Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft)

0.00 27299.23 22081.71 17577.18 13732.53 11720.490.05 26201.80 21194.03 16870.58 13180.49 11249.330.10 25104.37 20306.34 16163.97 12628.44 10778.170.15 24006.94 19418.66 15457.37 12076.39 10307.000.20 22909.51 18530.97 14750.77 11524.34 9835.840.25 21812.08 17643.29 14044.17 10972.29 9364.670.30 20714.65 16755.60 13337.56 10420.25 8893.510.35 19617.22 15867.92 12630.96 9868.20 8422.350.40 18519.79 14980.23 11924.36 9316.15 7951.180.45 18110.31 14649.01 11660.70 9110.16 7775.380.50 17700.82 14317.78 11397.04 8904.18 7599.570.55 17291.33 13986.56 11133.39 8698.19 7423.760.60 16881.84 13655.33 10869.73 8492.20 7247.950.65 16472.35 13324.11 10606.07 8286.21 7072.150.70 16062.86 12992.88 10342.41 8080.22 6896.340.75 15653.38 12661.65 10078.75 7874.24 6720.530.80 15243.89 12330.43 9815.10 7668.25 6544.720.83 14998.19 12131.69 9656.90 7544.65 6439.24

Mattingly Thrust Calculations CFM56-7B2741,000 (ft)

3142.802803.352674.452586.702523.512478.252447.472429.042421.622424.262436.332457.392487.162525.452572.192627.382691.082733.43

Mattingly TSFC CFM56-7B2741,000 (ft)

0.390200.413610.437020.460430.483840.507250.530670.554080.577490.600900.624310.647720.671140.694550.717960.741370.764780.77883

Howe Thrust CFM56-7B2741,000 (ft)

9921.539522.689123.848724.998326.147927.307528.457129.616730.766581.946433.126284.296135.475986.655837.835689.005540.185450.89

Mattingly Thrust Calculations CFM56-7B24Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft)

0.00 24200.00 16646.04 11130.19 7200.71 5710.510.05 21562.74 14848.14 9928.04 6422.98 5093.730.10 20502.29 14165.43 9471.55 6127.65 4859.520.15 19716.84 13700.64 9160.78 5926.60 4700.070.20 19080.06 13365.92 8936.97 5781.81 4585.250.25 18541.31 13126.25 8776.72 5678.13 4503.020.30 18073.07 12963.18 8667.68 5607.59 4447.080.35 17657.52 12865.59 8602.43 5565.37 4413.610.40 17281.55 12826.26 8576.13 5548.36 4400.110.45 16934.53 12840.26 8585.49 5554.41 4404.910.50 16607.13 12904.19 8628.24 5582.07 4426.850.55 16290.65 13015.75 8702.84 5630.33 4465.120.60 15976.56 13173.40 8808.25 5698.53 4519.200.65 15656.17 13068.33 8943.86 5786.26 4588.780.70 15320.38 12913.73 9109.40 5893.36 4673.710.75 14959.45 12753.93 9304.85 6019.80 4773.990.80 14562.83 12582.41 9530.43 6165.75 4889.730.83 14302.97 12470.94 9680.41 6262.78 4966.68

Hower TSFC CFM56-7B24Mach Number Sea Level 10,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft)

0.00 0.370000 0.361139 0.351844 0.342057 0.3359200.05 0.384347 0.375142 0.365487 0.355321 0.3489450.10 0.398694 0.389145 0.379130 0.368584 0.3619710.15 0.413041 0.403149 0.392773 0.381848 0.3749960.20 0.427388 0.417152 0.406416 0.395111 0.3880210.25 0.441734 0.431155 0.420058 0.408374 0.4010470.30 0.456081 0.445158 0.433701 0.421638 0.4140720.35 0.470428 0.459162 0.447344 0.434901 0.4270980.40 0.484775 0.473165 0.460987 0.448165 0.4401230.45 0.499122 0.487168 0.474630 0.461428 0.4531480.50 0.513469 0.501172 0.488273 0.474691 0.4661740.55 0.527816 0.515175 0.501916 0.487955 0.4791990.60 0.542163 0.529178 0.515559 0.501218 0.4922250.65 0.556510 0.543181 0.529202 0.514482 0.5052500.70 0.570856 0.557185 0.542844 0.527745 0.5182760.75 0.585203 0.571188 0.556487 0.541008 0.5313010.80 0.599550 0.585191 0.570130 0.554272 0.5443260.83 0.608158 0.593593 0.578316 0.562230 0.552142

Mattingly Thrust Calculations CFM56-7B2641,000 (ft) Mach Number Sea Level 10,000 (ft) 20,000 (ft)

2785.92 0.00 26300.00 18090.53 12096.032485.02 0.05 23433.89 16136.61 10789.562370.76 0.10 22281.42 15394.66 10293.462292.97 0.15 21427.80 14889.54 9955.722236.95 0.20 20735.77 14525.78 9712.502196.84 0.25 20150.27 14265.30 9538.332169.55 0.30 19641.40 14088.08 9419.832153.22 0.35 19189.79 13982.03 9348.932146.63 0.40 18781.19 13939.28 9320.342148.98 0.45 18404.05 13954.49 9330.512159.68 0.50 18048.24 14023.98 9376.982178.35 0.55 17704.31 14145.22 9458.042204.73 0.60 17362.96 14316.55 9572.602238.68 0.65 17014.77 14202.36 9719.982280.11 0.70 16649.83 14034.34 9899.882329.03 0.75 16257.58 13860.68 10112.292385.50 0.80 15826.55 13674.27 10357.452423.04 0.83 15544.14 13553.13 10520.45

Hower TSFC CFM56-7B24 Hower TSFC CFM56-7B26 and -7B2741,000 (ft) Mach Number Sea Level 10,000 (ft) 20,000 (ft)

0.329583 0.00 0.380000 0.370899 0.3613530.342363 0.05 0.394038 0.384601 0.3747020.355143 0.10 0.408075 0.398302 0.3880510.367922 0.15 0.422113 0.412003 0.4013990.380702 0.20 0.436150 0.425704 0.4147480.393482 0.25 0.450188 0.439406 0.4280970.406261 0.30 0.464225 0.453107 0.4414450.419041 0.35 0.478263 0.466808 0.4547940.431821 0.40 0.492300 0.480510 0.4681430.444600 0.45 0.506338 0.494211 0.4814910.457380 0.50 0.520375 0.507912 0.4948400.470160 0.55 0.534413 0.521614 0.5081890.482940 0.60 0.548450 0.535315 0.5215380.495719 0.65 0.562488 0.549016 0.5348860.508499 0.70 0.576525 0.562718 0.5482350.521279 0.75 0.590563 0.576419 0.5615840.534058 0.80 0.604600 0.590120 0.5749320.541726 0.83 0.613023 0.598341 0.582942

Mattingly Thrust Calculations CFM56-7B2730,000 (ft) 35,000 (ft) 41,000 (ft) Mach Number Sea Level

7825.57 6206.05 3027.68 0.00 27300.006980.34 5535.74 2700.66 0.05 24324.916659.39 5281.21 2576.49 0.10 23128.626440.89 5107.93 2491.95 0.15 22242.556283.53 4983.14 2431.07 0.20 21524.206170.86 4893.78 2387.48 0.25 20916.446094.20 4832.99 2357.82 0.30 20388.226048.32 4796.60 2340.07 0.35 19919.446029.83 4781.94 2332.91 0.40 19495.306036.41 4787.16 2335.46 0.45 19103.826066.47 4811.00 2347.09 0.50 18734.496118.91 4852.59 2367.38 0.55 18377.476193.03 4911.36 2396.05 0.60 18023.156288.38 4986.98 2432.94 0.65 17661.716404.76 5079.28 2477.97 0.70 17282.906542.18 5188.26 2531.14 0.75 16875.746700.79 5314.04 2592.50 0.80 16428.326806.24 5397.67 2633.30 0.83 16135.17

Hower TSFC CFM56-7B26 and -7B2730,000 (ft) 35,000 (ft) 41,000 (ft)

0.351302 0.344999 0.3384910.364280 0.357743 0.3509950.377257 0.370488 0.3634990.390234 0.383232 0.3760030.403212 0.395977 0.3885070.416189 0.408721 0.4010110.429166 0.421466 0.4135160.442144 0.434210 0.4260200.455121 0.446955 0.4385240.468099 0.459699 0.4510280.481076 0.472444 0.4635320.494053 0.485188 0.4760360.507031 0.497933 0.4885400.520008 0.510678 0.5010440.532986 0.523422 0.5135490.545963 0.536167 0.5260530.558940 0.548911 0.5385570.566727 0.556558 0.546059

Mattingly Thrust Calculations CFM56-7B2710,000 (ft) 20,000 (ft) 30,000 (ft) 35,000 (ft) 41,000 (ft)

18778.39 12555.96 8123.12 6442.02 3142.8016750.17 11199.81 7245.76 5746.23 2803.3515980.00 10684.85 6912.60 5482.02 2674.4515455.68 10334.27 6685.79 5302.15 2586.7015078.09 10081.79 6522.45 5172.61 2523.5114807.71 9901.01 6405.49 5079.86 2478.2514623.75 9778.00 6325.91 5016.75 2447.4714513.66 9704.40 6278.29 4978.99 2429.0414469.29 9674.73 6259.10 4963.76 2421.6214485.08 9685.29 6265.93 4969.18 2424.2614557.21 9733.51 6297.13 4993.92 2436.3314683.06 9817.66 6351.57 5037.10 2457.3914860.90 9936.57 6428.50 5098.11 2487.1614742.37 10089.56 6527.48 5176.60 2525.4514567.97 10276.30 6648.29 5272.41 2572.1914387.70 10496.79 6790.94 5385.53 2627.3814194.21 10751.27 6955.57 5516.10 2691.0814068.46 10920.46 7065.03 5602.91 2733.43

SEA LEVEL CONDITIONMethod Parameter CFM56-7B24 % Error CFM56-7B26

Validation Thrust 24,200 --- 26,300 TSFC 0.370 --- 0.380

Mattingly Thrust 24,200 0.00 26,300Howe TSFC 0.544 0.00 0.380

CRUISE CONDITIONMethod Aspect CFM56-7B24 % Error CFM56-7B26

Validation Thrust 5,962 --- 5,962 TSFC N/A --- N/A

Mattingly Thrust 4,890 19.76 5,314Howe TSFC 0.544 N/A 0.549

ThrustMethod CFM56 Thrust (lbf) at M=0.0 % Error Thrust (lbf) at M=0.80

Validation -7B24 24,200 --- 5,962-7B26 26,300 --- 5,962-7B27 27,300 --- 5,962

Mattingly -7B24 24,200 0.0000 4,890-7B26 26,300 0.0000 5,314-7B27 27,300 0.0000 5,516

TSFC

Method CFM56 TSFC (lbf) at M=0.0 % Error TSFC (lbf) at M=0.80Validation -7B24 0.370 --- N/A

-7B26 0.380 --- N/A-7B27 0.380 --- N/A

Howe -7B24 0.370 0.00 0.544-7B26 0.380 0.00 0.549-7B27 0.380 0.00 0.549

Static ThrustCFM-56 Engine Published Mattingly % Error-7B24 24,200 24,200 0.00-7B26 26,300 26,300 0.00-7B27 27,300 27,300 0.00

Cruise ThrustCFM-56 Engine Published Mattingly % Error-7B24 5,962 4,890 19.762-7B26 5,962 5,314 11.493-7B27 5,962 5,516 7.770

Static TSFCCFM-56 Engine Published Howe % Error-7B24 0.370 0.370 0.00-7B26 0.380 0.380 0.00-7B27 0.380 0.380 0.00

Cruise TSFCCFM-56 Engine Published Howe % Error-7B24 N/A 24,200 N/A-7B26 N/A 26,300 N/A-7B27 N/A 27,300 N/A

% Error2 CFM56-7B27 % Error3--- 27300.00 ------ 0.380 ---

0.00 27,300 0.000.00 0.380 0.00

%Error CFM56-7B27 %Error2--- 5962.00 ------ N/A ---

11.49 5,516 7.77N/A 0.549 N/A

Thrust% Error CFM56 Engine Sea Level Validation Mattingly Sea Level

--- -7B24 24,200 24,200--- -7B26 26,300 26,300--- -7B27 27,300 27,300

19.762211.49267.7696

TSFC CFM56 Engine Sea Level Validation Howe Sea Level% Error -7B24 0.370 0.370

--- -7B26 0.380 0.380--- -7B27 0.380 0.380---

N/AN/AN/A

% Error Cruise Validation Mattingly Cruise % Error0.00 5,962 4,890 19.760.00 5,962 5,314 11.490.00 5,962 5,516 7.77

% Error Cruise Validation Howe Cruise % Error0.00 N/A 0.5443 N/A0.00 N/A 0.5489 N/A0.00 N/A 0.5489 N/A

GasTurb Comparisons

ThrustCFM-56 Engine Validation SL GasTurb SL % Error Cruise Validation

-7B24 24,200 24,239 0.16 5,962 -7B26 26,300 24,573 6.79 5,962 -7B27 27,300 26,135 4.36 5,962

TSFCCFM-56 Engine Published GasTurb % Error Published

-7B24 0.370 0.368 0.54 N/A -7B26 0.380 0.377 0.79 N/A -7B27 0.380 0.396 4.05 N/A

Cruise TSFC

GasTurb Cruise % Error 5,745 3.710 6,099 2.271 6,200 3.911

GasTurb % Error0.676 N/A0.680 N/A0.716 N/A

Static ThrustCFM-56 Engine GasTurb AAA Installation Losses-7B24 24,239 22,994 1,245 -7B26 24,573 23,320 1,253 -7B27 26,135 24,838 1,297

Cruise ThrustCFM-56 Engine GasTurb AAA Installation Losses-7B24 5,745 5,346 398.8 -7B26 6,099 5,699 399.9 -7B27 6,200 5,794 405.8

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