8/9/2019 FS Thrust vs Altitude Calculations

1/19

1

F A,

A M

P 1 IF I

F . I

, I

. F

, I ,

(1503, 1504, 1502, 1506 1507) I

. I ,

. M

. M FDE

F . D ,

A A.

F

"" .

I "I A

F M" G . I

"" "C"

, M,

, M,

. B

F.

,

, 15C 29.92 H 1013.2 , .

C ,

. ""

8/9/2019 FS Thrust vs Altitude Calculations

2/19

2

.

. ,

,

.

""

(N1 N2).

, M

.

C

. B

N1,

,

. C N2 (CN2) N1 (CN1)

. ()

. ,

, M ,

,

M .

I F . I

, F

. I, I I ,

/AG, F .

H ? I

E, NAA

www.grc.nasa.gov/WWW/K-12/airplane/ngnsim.html. J

8/9/2019 FS Thrust vs Altitude Calculations

3/19

3

. A E

A B.

E F, ,

M , , , FC . O ,

, F , 10K, 20K, 30K, 40K

M ,

M

E. F ,

E ,

F?

I A,

://../ $20. I A G

. A

F , M,

, CN1, CN2

. A

. A, F,

. 1507 A.

1507 , A .

.

.

E

A ,

,

.

, 1502, 1503, 1504

1506 1507, I

E 0.3% , 36,089F. A

8 12465. A

8/9/2019 FS Thrust vs Altitude Calculations

4/19

4

, E

, F , F 1%

45,000 3% 50,000F.

P 2. H 1502, 1503 1504

I , F , I

A P (IAP) M N2 1503

1504. C N2 1502 N1.

C N1 M 1506 . C N1 M 1507

.

. A

.

,

F.

I CN1.

1503, 1504 1502.

F M, , CN1

CN1=N1/()

. CN2. A

, A A.

F 30K, 0.7940287. 1/() 1.122 CN1= 112.2% N1=100% M 30K. N

, F .

1503 IAP M CN2.

8/9/2019 FS Thrust vs Altitude Calculations

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5

I , I CN2= 112.2% 1503 IAP

30K. I CN1 = CN2 1502. A CN1 1506

1507 =N1/() ( ) .

A . A F CN1 CN2 , I

.

, I CN1 = CN2 1502.

1504 IAP M I M 1.0. A I

CN1=N1/ () M

CN1=N1/(2). 2 A

( AIO B )

*(1+.2(M)2). A M, M=0 2=. A M 1,

2 1.2 . (1.2)=1.095445 1/1.095445 =0. 9129.

(N1=100) CN2 = 91.29% M 1 . A 30000,

M 1 (N1=100) CN2 102.45 112.2 *0.9129.

F CN2 1503 1504 M,

I CN1 = CN2 CN1.

CN1 C

.

1503 1504 I A P (IAP)

. A F

IAP CN2 .

IAP , .

IAP 1503 1504 10000

.

1502, 1503 1504 I . I

PM, 2500 8000,

31.25%. I 1502 I M 0 M 1

M F

8/9/2019 FS Thrust vs Altitude Calculations

6/19

6

1503 1504. 1502

CN1 = CN2. H

, PM M

M 1 M .

I 1503 . I I 31.25

IAP=1 CN2 =

CN1=N1 100% 31.25. I 50%, 0.5 75% 2

.

I 1503, IAP 1.0

100/() IAP. I IAP :

A L 10,000 20,000 30,000 36,089 50,000

IAP 1.0 1.4538 2.1743 3.3608 4.4593 8.6869

1/() 1.0 1.0362 1.0767 1.1222 1.1533 1.1533F CN2 100.00 103.62 107.67 112.22 115.33 115.33

8/9/2019 FS Thrust vs Altitude Calculations

7/19

7

I 1503 IAP=1

1/() . N

36089 .

I 1504 IAP 1503

1/ (1+.2*(M)2). I H 0.9 0.8606. M

M 1.0 1504 0.9129, .

A CN1 = CN2 1502 ,

IAP CN1 .

A, .

P 3. H 1506.

C 1502, 1503 1504 . I

1506.

8/9/2019 FS Thrust vs Altitude Calculations

8/19

8

1506 CN1 M

CN1 . CN1

CN2 1503. I 116% CN1

.

I M 0.0 1.0 E M

CN1.

M I

M N1,

70%

70% 100% 85%.

M M I 1.0 100% CN1.

M M

E,

1503, 1504 .

I CN1

:

A L 10,000 20,000 30,000 36100 40,000 45,000 50,000

M 0.943 0.949 0.947 0.946 0.944 0.939 0.916 0.900

CN1 91.82 95.06 98.80 102.95 105.84 105.91 106.14 106.30

A , N1 99.9 100.1

. O N1 ,

99.6. N1 ,

N1 , 100%

F. I , N1 .

I , I A (

1507) E .

8/9/2019 FS Thrust vs Altitude Calculations

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9

I I 1506

.

F , A (A) E (E)

. 1.0 E

A E

. I

. A 12 I

8/9/2019 FS Thrust vs Altitude Calculations

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10

I 1.0 , E,

A , 36100 ( I 36089 ),

40,000 .

F A

, E .

36100 . ,

, 20,000 0.1%

10 E . M M 1

8/9/2019 FS Thrust vs Altitude Calculations

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11

90% CN1 110% CN1,

90 110.

I .

E' 100%. E .

100 F .

I , I (1.1 1)

1506 E

I

. 1506 I .

: 1506 CN1 M N.: 3 : 19

0 0 1

0 0 0

30 0.1000 0.1075

40 0.1000 0.1075

45 0.1200 0.1290

50 0.1500 0.1613

64 0.2000 0.2150

80 0.4000 0.7311

90 0.5600 1.0733

92 0.6300 1.0974

94 0.7000 1.1215

96 0.8000 1.1456

98 0.9300 1.1698

100 1.000 1.1939

102 1.071 1.2180

104 1.1335 1.2421106 1.2012 1.2662

110 1.2450 1.3145

116 1.2540 1.3500

8/9/2019 FS Thrust vs Altitude Calculations

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12

CN1 90% I

90% M,

. I , M 1.0, 90% 110% CN1

. 80% PM

31.25% 1503. I M 0 1.0. F

I

M .

P 4. H 1507.

H ( 1507 )

1507 . A

E .

A I E 0.03%

36100 . I 1507 I

.

1507 I .

: 1507 D F CN1 M N.

: 3 : 90 0 1

0 0 0

90 36.3900 36.39

100 36.395 36.395

102 36.396 36.396

104 36.397 36.397

106 36.398 36.398

116 36.4 36.4

. 1507

M CN1. G M CN1

.

8/9/2019 FS Thrust vs Altitude Calculations

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F D P

A M CN1 N1

100 0.9433 91.7 99.6

10000 0.9468 96.0 99.7

20000 0.9506 98.7 99.830000 0.9533 102.8 99.8

36100 0.9544 105.6 99.9

40000 0.9519 105.7 99.7

N N1 100 ,

. B N1 100%

.

P 5. C.

F .

. I

, F

.

F , I 1501

. ED .

I 1505

. CN1/CN2 1506

1505, .

I 1548 /

/ .

I , I .

8/9/2019 FS Thrust vs Altitude Calculations

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14

A A. , E

.

EP/P3D I

I O

1502 AIR_70_N2_TO_N1_TABLE M CN2 CN1

1503 AIR_70_MACH_0_CORRECTED_COMMANDED_NE IAP CN2

1504 AIR_70_MACH_HI_CORRECTED_COMMANDED_NE IAP CN2

1506 AIR_70_N1_AND_MACH_ON_THRUST M CN1 C

G

/

1507 AIR_70_CORRECTED_AIRFLOW M CN1 C

A

.

IAP. I A P .

L .

N1.

.

.

N2.

.

.

C. I "C"

, M . C

8/9/2019 FS Thrust vs Altitude Calculations

15/19

15

F

.

CN1. C N1, F C G

C A/ D 1506 1507

CN2. C N2, F , IAP M

1503 1505. CN2 CN1 1502.

C G F CN1 M

CN1 M . ( 1506)

C A C D

CN1 M . ( 1507)

E F .

. = (288.151.98*/1000)/288.15.

36089 , F

. = 5.256 F

= *(1+0.2*(M2))

M (M) . I' .

= *(1+0.2*(M2))3.5

M (M) . I'

= * 1506 * 2

= (/)* I A * BL 1507 * 2/(2)

M / 32.174 //.

= G D

8/9/2019 FS Thrust vs Altitude Calculations

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16

C

= N1/(2) G CN1

F

= N2/(2)

= G /2

=/* *(2)/2 M

/ 32.174 //.

C

= C G *2

=C D*2

8/9/2019 FS Thrust vs Altitude Calculations

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17

A B. E .

O

, "A B C"

:

. N , G ,

D. D . A

M . 2.0

.

I F. C I

.

8/9/2019 FS Thrust vs Altitude Calculations

18/19

18

I 2.975 . A

.

I 10150 G () I 2.975 .

O , .

8/9/2019 FS Thrust vs Altitude Calculations

19/19

19

H I 0.9 M, 100

100. G 17387 , N 12107 D 5280.

/ FC.

, E .

I .

I

.