Farokhi Tables B -E

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    PPEND IX

    sent rop ic

    Tab I e

    I

    entropic tables are produced, for calorically perfect gas i.e., constant y , based on

    following equations:

    i = 1+ ( r ; 1 ) M

    ; =

    i

    = [

    1

    (

    r

    ; 1 M

    2

    ]

    r ~ t

    ~

    =

    ; )

    = [1

    + ( r

    ; 1 )

    M

    2

    ] r ~ t

    r+l

    =

    _ _

    1+ M 2 2Cr tl

    A M

    r+i

    2

    r+i

    T

    =

    ___

    =

    T

    1

    +

    (r; M2

    r

    r+l

    1 r ~

    ; = 1 + ~ ) M 2

    p

    p T

    r 1 y ~ l

    p = p T

    1

    + ( r;

    I ) M

    We derived these equations in Chapter 2.

    Aircraft Propulsion

    Second Edition. Saeed Farokhi.

    2014 John Wiley Sons, Ltd. Published 2014 by John Wiley Sons, Ltd.

    Companion Website: www.wiley.com/go/farokhi

    (

    B

    w

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    Appendix B Isentropic Table

    Table 1 4

    T/T

    P/P

    P P

    AlA

    1.0001 00 1.0003 00 1.0002 00 2.8942 01

    1.0003 00

    1.0007 00

    1.0013 00

    1.0020 00

    1.0029 00

    1.0039 00

    1.0051 00

    1.0065 00

    1.0080 00

    1.0011 00

    1.0025 00

    1.0045 00

    1.0070 00

    1.0101 00

    1.0138 00

    1.0180 00

    1.0229 00

    1.0283 00

    1.0008 00

    1.0018 00

    1.0032 00

    1.0050 00

    1.0072 00

    1.0098 00

    1.0128 00

    1.0163 00

    1.0201 00

    1.4481 01

    9.6658 00

    7.2615 00

    5.8218 00

    4.8643 00

    4.1823 00

    3.6727 00

    3.2779 00

    2.9635 00

    TIT

    1.1999 00

    1.1996 00

    1.1991 00

    1.1985 00

    1.1976 00

    1.1966 00

    1.1953 00

    1.1939 00

    1.1923 00

    1905 00

    pip

    pip

    1.8924 00 1.5771 00

    1.8908 00

    1.8882 00

    1.8845 00

    1.8797 00

    1.8740 00

    1.8672 00

    1.8594 00

    1.8506 00

    1.8409 00

    1.5762 00

    1.5746 00

    1.5724 00

    1.5696 00

    1.5661 00

    1.5621 00

    1.5574 00

    1.5522 00

    1.5463 00

    2 1.0097 00 1.0343 00 1.0244 00 2.7076 00 1.1885 00 1.8302 00 1.5399 00

    4 1.0115 00 1.0409 00 1.0290 00 2.4955 00 1.1863 00 1.8185 00 1.5329 00

    6 1.0135 00 1.0481 00 1.0341 00 2.3173 00 1.1840 00 1.8060 00 1.5254 00

    8 1.0157 00 1.0560 00 1.0397 00 2.1655 00 1.1815 00 1.7926 00 1.5173 00

    1.0180 00 1.0644 00 1.0456 00 2.0350 00 1.1788 00 1.7783 00 1.5086 00

    2 1.0205 00 1.0735 00 1.0520 00 1.9218 00 1.1759 00 1.7633 00 1.4995 00

    1.0231 00

    1.0259 00

    1.0289 00

    1.0320 00

    1.0353 00

    1.0387 00

    1.0423 00

    1.0461 00

    1.0500 00

    1.0833 00

    1.0937 00

    1.1048 00

    1.1166 00

    1.1290 00

    1.1422 00

    1.1561 00

    1.1708 00

    1.1862 00

    1.0588 00

    1.0661 00

    1.0738 00

    1.0819 00

    1.0905 00

    1.0996 00

    1.1092 00

    1.1192 00

    1.1297 00

    1.8229 00

    1.7358 00

    1.6587 00

    1.5901 00

    1.5289 00

    1.4740 00

    1.4246 00

    1.3801 00

    1.3398 00

    1.0541 00 1.2024 00 1.1407 00 1.3034 00

    1.1729 00

    1.1697 00

    1.1663 00

    1.1628 00

    1.1591 00

    1.1553 00

    1.1513 00

    1.1471 00

    1.1429 00

    1.1384 00

    1.7474 00

    1.7308 00

    1.7134 00

    1.6953 00

    1.6766 00

    1.6573 00

    1.6373 00

    1.6168 00

    1.5958 00

    1.4898 00

    1.4797 00

    1.4691 00

    1.4580 00

    1.4465 00

    1.4345 00

    1.4222 00

    1.4094 00

    1.3963 00

    1.5743 00 1.3828 00

    1.0583 00 1.2194 00 1.1522 00 1.2703 00 1.1339 00 1.5523 00 1.3690 00

    1.0627 00 1.2373 00 1.1643 00 1.2403 00 1.1292 00 1.5299 00 1.3549 00

    8 1.0673 00 1.2560 00 1.1768 00 1.2130 00 1.1244 00 1.5072 00 1.3405 00

    1.0720 00 1.2755 00 1.1898 00 1.1882 00 1.1194 00 1.4841 00 1.3258 00

    2 1.0769 00 1.2959 00 1.2034 00

    4 1.0819 00 1.3173 00 1.2176 00

    6 1.0871 00 1.3396 00 1.2322 00

    68 1.0925 00 1.3628 00 1.2475 00

    0 1.0980 00 1.3871 00 1.2633 00

    1.1656 00

    1.1451 00

    1.1265 00

    1.1096 00

    1.0944 00

    1.1143 00 1.4607 00 1.3108 00

    1.1091 00 1.4370 00 1.2956 00

    1.1038 00 1.4131 00 1.2801 00

    1.0984 00 1.3890 00 1.2645 00

    1.0929 00 1.3647 00 1.2487 00

    1.1037 00 1.4124 00 1.2797 00 1.0806 00 1.0873 00 1.3402 00 1.2327 00

    1.1095 00 1.4387 00 1.2967 00 1.0681 00 1.0815 00 1.3157 00 1.2165 00

    M

    0.76

    0.78

    0.80

    0.82

    0.84

    0.86

    0.88

    0.90

    0.92

    0.94

    0.96

    0.98

    1.00

    1.02

    1.04

    1.06

    1 08

    1.10

    1.12

    1.14

    1.16

    1 18

    1 20

    1 22

    1 24

    1.26

    1 28

    1 30

    1 32

    1 34

    1.36

    1 38

    1.40

    1 42

    1.44

    1.4

    1 4

    1.5

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    Isentropic Table y =1.4 9

    M

    P/P

    AlA TIT

    pip pip

    1.1155 00 1.4661 00 1.3143 00 1.0570 00 1.0757E OO

    1.2911 00 1.2002

    .76

    0.78

    0.80

    1.1217 00 1.4947 00 1.3325 00 1.0470 00 1.0698 00 1.2665 00 1.1838

    1.1280 00 1.5243 00 1.3514 00 1.0382 00 1.0638 00 1.2418 00 1.1673

    0.82 1.1345 00 1.5552 00 1.3709 00 1.0305 00 1.0578 00 1.2172 00 1.1507

    0.84 1.1411 00 1.5873 00 1.3910 00 1.0237 00 1.0516 00 1.1925 00 1.1340

    0.86 1.1479 00 1.6207 00 1.4118 00 1.0179 00 1.0454 00 1.1680 00 1.1173

    0.88 1.1549 00 1.6553 00 1.4333 00 1.0129 00 1.0391 00 1.1436 00 1.1006

    0.90 1.1620 00

    1.6913 00 1.4555 00 1.0089 00 1.0327 00 1.1192 00 1.0838

    0.92 1.1693 00 1.7287 00 1.4784 00 1.0056 00 1.0263 00 1.0950 00 1.0670

    0.94 1.1767 00 1.7675 00 1.5020 00 1.0031 00 1.0198 00 1.0710 00 1.0502

    0.96 1.1843 00 1.8078 00 1.5264 00 1.0014 00 1.0132 00 1.0471 00 1.0334

    0.98 1.1921 00 1.8496 00 1.5515 00 1.0003 00 1.0066 00 1.0234 00 1.0167

    1.00 1.2000 00 1.8929 00 1.5774 00

    I.OOOOE OO I.OOOOE OO

    I.OOOOE OO I.OOOOE

    1.02

    1.04

    1.06

    1.08

    1.10

    1.2081 00 1.9379 00 1.6041 00 1.0003 00 9.9331-0 1

    1.2163 00 1.9846 00 1.6316 00 1.0013 00 9.8658-0 1

    1.2247 00 2.0330 00 1.6599 00 1.0029 00 9.7982-0 1

    1.2333 00 2.0831 00 1.6891 00 1.0051 00 9.7302-0 1

    1.2420 00 2.1351 00 1.7191 00 1.0079 00 9.6618-01

    1.12 1.2509 00 2.1890 00 1.7500 00 1.0113 00 9.59 32-01

    1.14 1.2599 00 2.2449 00 1.7818 00 1.0153 00 9.5244-01

    1.16 1.2691 00 2.3028 00 1.8145 00 1.0198 00 9.45 54-01

    1.18 1.2785 00 2.3628 00 1.8481 00 1.0248 00 9.38 61-01

    1.20 1.2880 00 2.4250 00 1.8827 00 1.0304 00 9.3168-01

    1.22

    1.24

    1.26

    1.28

    1.30

    1.2977 00 2.4894 00 1.9183 00 1.0366 00 9.2473- 01

    1.3075 00 2.5560 00 1.9549 00 1.0432 00 9.1777- 01

    1.3175 00 2.6251 00 1.9925 00 1.0504 00 9.1080-01

    1.3277 00 2.6967 00 2.0311 00 1.0581 00 9.0383- 01

    1.3380 00 2.7707 00 2.0708 00 1.0663 00 8.9686-01

    9.7679-01

    9.5382-01

    9.3112-01

    9.0870-01

    9.8336

    9.6679

    9.5030

    9.3390

    8.8656-01 9.1759

    8.6473-01

    8.4321-01

    8.2201-01

    8.0113-01

    7.8060-01

    9.0139

    8.8531

    8.6935

    8.5353

    8.3784

    7.6041-01 8.2231

    7.4057-01 8.0692

    7.2108-01 7.9170

    7.0195-01 7.7664

    6.8318-01 7.6175

    1.32 1.3485 00 2.8474 00 2.1116 00 1.0750 00 8.8989-01 6.6478-0 1 7.4704

    1.34 1.3591 00 2.9269 00 2.1535 00 1.0842 00 8.8292-01 6.4674-01 7.3250

    1.36 1.3699 00 3.0091 00 2.1965 00 1.0940 00 8.7596-01 6.2907-01 7.1815

    1.38 1.3809 00 3.0942 00 2.2407 00 1.1042 00 8.6901-01 6.1177-01 7.0398

    1.40 1.3920 00 3.1823 00 2.2861 00 1.1149 00 8.6207-01 5.9484- 01 6.9001

    1.42

    1.44

    1.46

    1.48

    1.50

    1.4033 00 3.2734 00 2.3327 00 1.1261 00 8.5514- 01

    1.4147 00 3.3678 00 2.3805 00 1.1379 00 8.4822-01

    1.4263 00 3.4654 00 2.4296 00 1.1501 00 8.4133-01

    1.4381 00 3.5665 00 2.4800 00 1.1629 00 8.3445-01

    1.4500 00 3.6710 00 2.5317 00 1.1762 00 8.2759-01

    5.7827-01

    5.6207-01

    5.4623-01

    5.3075-01

    5.1564-01

    6.7623

    6.6264

    6.4925

    6.3606

    6.2306

    Contin

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    Appendix B Isentropic Table

    T/T

    2 1.4621 00

    1.4743 00

    1.4867 00

    8 1.4993 00

    1.5120 00

    2 1.5249 00

    1.5379 00

    1.5511 00

    8 1.5645 00

    1.5780 00

    1.5917 00

    1.6055 00

    1.6195 00

    1.6337 00

    0 1.6480 00

    1.6625 00

    4 1.6771 00

    1.6919 00

    1.7069 00

    1.7220 00

    1.7373 00

    1.7527 00

    1.7683 00

    1.7841 00

    1.8000 00

    1.8161 00

    1.8323 00

    00

    1.8653 00

    1.8820 00

    1.8989 00

    1.9159 00

    1.9331 00

    1.9505 00

    1.9680 00

    1.9857 00

    2.0035 00

    2.0215 00

    2.0397 00

    2.0580 00

    P/P

    3.7792 00

    3.8911 00

    4.0068 00

    4.1266 00

    4.2504 00

    4.3785 00

    4.5110 00

    4.6479 00

    4.7896 00

    4.9360 00

    5.0874 00

    5.2439 00

    5.4057 00

    5.5729 00

    5.7458 00

    5.9244 00

    6.1091 00

    6.2998 00

    6.4970 00

    6.7006 00

    6.9111 00

    7.1284 00

    7.3530 00

    7.5849 00

    7.8244 00

    8.0718 00

    8.3273 00

    8.5911 00

    8.8635 00

    9.1447 00

    9.4350 00

    9.7347 00

    1.0044 01

    1.0363 01

    1.0693 01

    1.1033 01

    1.1384 01

    1.1746 01

    1.2119 01

    1.2504 01

    P P

    2.5848 00

    2.6392 00

    2.6951 00

    2.7524 00

    2.8111 00

    2.8714 00

    2.9332 00

    2.9965 00

    3.0614 00

    3.1280 00

    3.1962 00

    3.2662 00

    3.3378 00

    3.4113 00

    3.4865 00

    3.5636 00

    3.6426 00

    3.7235 00

    3.8063 00

    3.8912 00

    3.9781 00

    4.0671 00

    4.1582 00

    4.2514 00

    4.3469 00

    4.4446 00

    4.5447 00

    4.6471 00

    4.7518 00

    4.8590 00

    4.9687 00

    5.0809 00

    5.1957 00

    5.3132 00

    5.4333 00

    5.5561 00

    5.6818 00

    5.8103 00

    5.9416 00

    6.0759 00

    AlA

    1.1899 00

    1.2042 00

    1.2190 00

    1.2344 00

    1.2502 00

    1.2666 00

    1.2835 00

    1.3010 00

    1.3190 00

    1.3376 00

    1.3567 00

    1.3764 00

    1.3967 00

    1.4175 00

    1.4390 00

    1.4610 00

    1.4836 00

    1.5069 00

    1.5307 00

    1.5552 00

    1.5804 00

    1.6062 00

    1.6326 00

    1.6597 00

    1.6875 00

    1.7159 00

    1.7451 00

    1.7750 00

    1.8056 00

    1.8369 00

    1.8690 00

    1.9018 00

    1.9354 00

    1.9698 00

    2.0050 00

    2.0409 00

    2.0777 00

    2.1153 00

    2.1538 00

    2.1931 00

    TIT

    8.2075-01

    8.1393-01

    8.0715-01

    8.0038-01

    7.9365-01

    7.8695-01

    7.8027-01

    7.7363-01

    7.6703-01

    7.6046-01

    7.5392-01

    7.4742-01

    7.4096-01

    7.3454-01

    7.2816-01

    7.2181-01

    7.1551-01

    7.0925-01

    7.0304-01

    6.9686-01

    6.9073-01

    6.8465-01

    6.7861-01

    6.7262-01

    6.6667-01

    6.6076-01

    6.5491-01

    6.4910-01

    6.4334-01

    6.3762-01

    6.3195-01

    6.2633-01

    6.2076-01

    6.1523-01

    6.0976-01

    6.0433-01

    5.9895-01

    5.9361-01

    5.8833-01

    5.8309-01

    pip

    5.0088-01

    4.8648-01

    4.7242-01

    4.5872-01

    4.4535-01

    4.3232-01

    4.1963-01

    4.0726-01

    3.9522-01

    3.8350-01

    3.7208-01

    3.6098-01

    3.5017-01

    3.3966-01

    3.2945-01

    3.1951-01

    3.0986-01

    3.0047-01

    2.9136-01

    2.8250-01

    2.7390-01

    2.6555-01

    2.5744-01

    2.4957-01

    2.4192-01

    2.3451-01

    2.2732-01

    2.2034-01

    2.1357-01

    2.0700-01

    2.0063-01

    1.9445-01

    1.8846-01

    1.8266-01

    1.7703-01

    1.7157-01

    1.6629-01

    1.6116-01

    1.5620-01

    1.5138-01

    pip

    6.1027-01

    5.9769-01

    5.8530-01

    5.7312-01

    5.6114-01

    5.4937-01

    5.3780-01

    5.2643-01

    5.1526-01

    5.0430-01

    4.9353-01

    4.8296-01

    4.7259-01

    4.6242-01

    4.5244-01

    4.4265-01

    4.3305-01

    4.2365-01

    4.1442-01

    4.0539-01

    3.9653-01

    3.8786-01

    3.7936-01

    3.7104-01

    3.6289-01

    3.5491-01

    3.4710-01

    3.3945-01

    3.3197-01

    3.2464-01

    3.1747-01

    3.1046-01

    3.0360-01

    2.9689-01

    2.9033-01

    2.8391-01

    2.7763-01

    2.7149-01

    2.6549-01

    2.5962-01

    M

    2.32

    2.34

    2.36

    2 38

    2.40

    2.42

    2 44

    2.46

    2 48

    2.50

    2.52

    2.54

    2.56

    2 58

    2.60

    2.62

    2.64

    2.66

    2 68

    2.70

    2.72

    2.74

    2.76

    2 78

    2.80

    2.82

    2.84

    2.86

    2 88

    2.90

    2.92

    2.94

    2.96

    2 98

    3.00

    3.05

    3.10

    3.15

    3.20

    3.25

  • 8/10/2019 Farokhi Tables B -E

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    2.32 2.0765 00

    2.34 2.0951 00

    2.36 2.1139 00

    2.38 2.1329 00

    2.40 2.1520 00

    2.42 2.1713 00

    2.44 2.1907

    E OO

    2.46 2.2103 00

    2.48 2.2301 00

    2.50 2.2500 00

    2.52 2.2701 00

    2.54 2.2903 00

    2.56 2.3107E OO

    2.58 2.3313 00

    P/P

    1.2902 01

    1.3312 01

    1.3734 01

    1.4170 01

    1.4620 01

    1.5084 01

    1.5562 01

    1.6054 01

    1.6562 01

    1.7086 01

    1.7626 01

    1.8182 01

    1.8755 01

    1.9346 01

    2.60 2.3520 00 1.9954 01

    2.62 2.3729 00 2.0581 01

    2.64 2.3939 00 2.1227 01

    2.66 2.4151 00 2.1892 01

    2.68 2.4365 00 2.2577 01

    2.70 2.4580 00 2.3283 01

    2.72 2.4797 00 2.4010 01

    2.74 2.5015 00 2.4758 01

    2.76 2.5235 00 2.5528 01

    2.78 2.5457 00 2.6322 01

    2.80 2.5680 00 2.7138 01

    2.82 2.5905 00 2.7979 01

    2.84 2.6131 00 2.8844 01

    2.86 2.6359 00 2.9735 01

    2.88

    2.90

    2.92

    2.94

    2.96

    2.98

    3.00

    3.05

    3.10

    3.15

    3.20

    2.6589 00 3.0651 01

    2.6820 00 3.1594 01

    2.7053 00 3.2564 01

    2.7287 00 3.3563 01

    2.7523 00 3.4590 01

    2.7761 00 3.5646 01

    2.8000 00 3.6733 01

    2.8605 00 3.9586 01

    2.9220 00 4.2646 01

    2.9845 00 4.5925 01

    3.0480 00 4.9437 01

    3.25 3.1125 00 5.3196 01

    P/P AlA

    6.2133 00 2.2333 00

    6.3536 00 2.2744 00

    6.4971 00 2.3164 00

    6.6438 00 2.3592 00

    6.7937 00 2.4031 00

    6.9469 00 2.4478 00

    7.1034 00 2.4936 00

    7.2634 00 2.5403 00

    7.4268 00 2.5880 00

    7.5938 00 2.6367 00

    7.7643 00 2.6864 00

    7.9385 00 2.7372 00

    8.1165 00 2.7890 00

    8.2982 00 2.8419 00

    TIT*

    5.7790-01

    5.7276-01

    5.6767-01

    5.6262-01

    5.5762-01

    5.5267-01

    5.4777-01

    5.4291-01

    5.3810-01

    5.3333 01

    5.2862 01

    5.2394-01

    5.1932-01

    5.1474-01

    Isentropic Table y =1.4 9

    pip

    1.4672-01

    1.4220-01

    1.3782-01

    1.3358-01

    1.2948-01

    1.2550-01

    1.2164-01

    1.1791-01

    1.1429-01

    1.1079-01

    1.0740-01

    1.0411-01

    1.0093-01

    9.7848 02

    pip

    2.5388

    2.4827

    2.4279

    2.3743

    2.3219

    2.2707

    2.2207

    2.1718

    2.1240

    2.0773

    2.0317

    1.9871

    1.9435

    1.9009

    8.4839 00 2.8959 00 5.1020 01 9.4865 02

    1.8593

    8.6734 00 2.9511 00 5.0571- 01

    9.1975 02

    1.8187

    8.8669 00 3.0073 00 5.0127- 01 8.9177 02 1.7790

    9.0646 00 3.0647 00

    4.9687 01 8.6467 02

    1.7402

    9.2663 00 3.1232 00 4.9251 01

    9.4723 00 3.1830 00 4.8820-01

    9.6825 00 3.2439 00

    4.8393 01

    9.8971 00 3.3061 00 4.7971-01

    1.0116 01 3.3695 00 4.7553-01

    1.0340 01 3.4341 00 4.7139-01

    1.0568 01 3.5001 00 4.6729-01

    1.0801 01 3.5673 00 4.6323 01

    1.1038 01 3.6359 00 4.5922-01

    1.1281 01 3.7058 00 4.5525 01

    1.1528 01

    1.1780 01

    1.2037 01

    1.2300 01

    1.2567 01

    1.2840 01

    1.3119 01

    1.3839 01

    1.4595 01

    1.5388 01

    1.6219 01

    3.7771 00

    3.8497 00

    3.9238 00

    3.9993 00

    4.0762 00

    4.1546 00

    4.2345 00

    4.4410 00

    4.6573 00

    4.8838 00

    5.1209 00

    4.5132 01

    4.4743 01

    4.4358 01

    4.3977 01

    4.3600 01

    4.3226-01

    4.2857 01

    4.1951-01

    4.1068 01

    4.0208-01

    3.9370-01

    1.7091 01 5.3690 00 3.8554 01

    8.3843 02

    8.1301 02

    7.8841 02

    7.6458 02

    7.4150 02

    7.1915 02

    6.9751 02

    6.7656 02

    6.5626 02

    6.3661 02

    6.1757 02

    5.9914 02

    5.8129 02

    5.6400 02

    5.4725 02

    5.3103 02

    5.1533 02

    4.7818 02

    4.4387 02

    4.1218 02

    3.8290 02

    1.7023

    1.6653

    1.6292

    1.5938

    1.5593

    1.5256

    1.4927

    1.4605

    1.4291

    1.3984

    1.3684

    1.3391

    1.3105

    1.2825

    1.2552

    1.2285

    1.2024

    1.1399

    1.0808

    1.0251

    9.7256

    3.5584 02 9.2295

    Conti

  • 8/10/2019 Farokhi Tables B -E

    6/49

    9 2

    ppendix B Isentropic Table

    M

    T T

    P P

    3.30 3.1780 00 5.7219 01

    3.35 3.2445 00 6.1520 01

    3.40 3.3120 00 6.6117 01

    3.45 3.3805 00 7.1029 01

    3.50 3.4500 00 7.6272 01

    3.55 3.5205 00

    3.60 3.5920 00

    3.65 3.6645 00

    3.70 3.7380 00

    3.75 3.8125 00

    3.80 3.8880 00

    3.85 3.9645 00

    3.90 4.0420 00

    3.95 4.1205 00

    4.00 4.2000 00

    4.05 4.2805 00

    4.10 4.3620 00

    4.15 4.4445 00

    4.20 4.5280 00

    4.25 4.6125 00

    4.30 4.6980 00

    4.35 4.7845 00

    4.40 4.8720 00

    4.45 4.9605 00

    4.50 5.0500 00

    4.55 5.1405 00

    4.60 5.2320 00

    4.65 5.3245 00

    4.70 5.4180 00

    4.75 5.5125 00

    4.80 5.6080 00

    4.85 5.7045 00

    4.90 5.8020 00

    4.95 5.9005 00

    5.00 6.0000 00

    5.10 6.2020 00

    5.20 6.4080 00

    5.30 6.6180 00

    5.40 6.8320 00

    5.50 7.0500 00

    8.1868 01

    8.7837 01

    9.4200 01

    1.0098 02

    1.0820 02

    1.1589 02

    1.2407 02

    1.3277 02

    1.4201 02

    1.5184 02

    1.6227 02

    1.7334 02

    1.8509 02

    1.9755 02

    2.1075 02

    2.2475 02

    2.3957 02

    2.5526 02

    2.7186 02

    2.8941 02

    3.0798 02

    3.2759 02

    3.4832 02

    3.7020 02

    3.9330 02

    4.1766 02

    4.4337 02

    4.7046 02

    4.9901 02

    5.2909 02

    5.9410 02

    6.6608 02

    7.4566 02

    8.3352 02

    9.3038 02

    P P

    1.8005 01

    1.8961 01

    1.9963 01

    2.1011 01

    AlA TIT

    5.6286 00 3.7760-01

    5.9000 00 3.6986-01

    6.1836 00 3.6232-01

    6.4800 00 3.5498-01

    pip

    3.3082 02

    3.0769 02

    2.8630 02

    2.6650 02

    pip

    8.7613-02

    8.3192-02

    7.9018 02

    7.5076 02

    2.2108 01 6.7895 00 3.4783-01 2.4818 02 7.1352 02

    2.3255 01

    2.4453 01

    2.5706 01

    2.7015 01

    2.8381 01

    2.9807 01

    3.1295 01

    3.2847 01

    3.4465 01

    3.6151 01

    3.7908 01

    3.9739 01

    4.1644 01

    4.3628 01

    4.5692 01

    4.7839 01

    5.0072 01

    5.2392 01

    5.4804 01

    5.7310 01

    5.9912 01

    6.2614 01

    6.5418 01

    6.8328 01

    7.1346 01

    7.4477 01

    7.7722 01

    8.1086 01

    8.4571 01

    8.8182 01

    9.5792 01

    1.0395 02

    1.1267 02

    1.2200 02

    1.3197 02

    7.1127 00

    7.4500 00

    7.8019 00

    8.1690 00

    8.5516 00

    8.9505 00

    9.3660 00

    9.7989 00

    1.0250 01

    1.0719 01

    1.1207 01

    1.1715 01

    1.2243 01

    1.2791 01

    1.3362 01

    1.3955 01

    1.4570 01

    1.5210 01

    1.5873 01

    1.6562 01

    1.7276 01

    1.8018 01

    1.8786 01

    1.9583 01

    2.0408 01

    2.1263 01

    2.2149 01

    2.3067 01

    2.4017 01

    2.5000 01

    2.7069 01

    2.9283 01

    3.1649 01

    3.4174 01

    3.6869 01

    3.4086-01

    3.3408-01

    3.2747-01

    3.2103-01

    3.1475-01

    3.0864-01

    3.0269-01

    2.9688-01

    2.9123-01

    2.8571-01

    2.8034-01

    2.7510-01

    2.7000-01

    2.6502-01

    2.6016-01

    2.5543-01

    2.5081-01

    2.4631-01

    2.4191-01

    2.3762-01

    2.3344-01

    2.2936-01

    2.2537-01

    2.2148-01

    2.1769-01

    2.1398-01

    2.1036-01

    2.0683-01

    2.0337-01

    2.0000-01

    1.9349-01

    1.8727-01

    1.8132-01

    1.7564-01

    1.7021-01

    2.3122 02

    2.1550 02

    2.0095 02

    1.8745-02

    1.7494-02

    1.6334-02

    1.5257-02

    1.4258-02

    1.3329-02

    1.2467-02

    1.1666-02

    1.0920-02

    1.0227-02

    9.5821-03

    8.9817-03

    8.4225-03

    7.9014-03

    7.4158 03

    6.9630-03

    6.5406-03

    6.1463 03

    5.7783-03

    5.4345-03

    5.1133-03

    4.8130-03

    4.5322-03

    4.2695-03

    4.0236-03

    3.7934-03

    3.5777-03

    3.1862-03

    2.8419-03

    2.5386-03

    2.2710-03

    2.0346-03

    6.7833 02

    6.4508 02

    6.1364 02

    5.8392 02

    5.5581 02

    5.2922 02

    5.0406-02

    4.8024 02

    4.5770 02

    4.3634-02

    4.1612 02

    3.9695-02

    3.7879-02

    3.6157 02

    3.4523-02

    3.2974 02

    3.1504-02

    3.0108-02

    2.8783 02

    2.7525-02

    2.6329 02

    2.5193-02

    2.4113-02

    2.3086-02

    2.2110-02

    2.1180 02

    2.0296-02

    1.9454-02

    1.8652-02

    1.7889-02

    1.6467-02

    1.5176-02

    1.4000-02

    1.2930-02

    1.1953-02

    M

    6.20

    6.30

    6.40

    6.50

    6.60

    6.70

    6.80

    6.90

    7.00

    7.10

    7.20

    7.30

    7.40

    7.50

    7.60

    7.70

    7.80

    7.90

    8.00

    8.10

    8.20

    8.30

    8.40

    8.50

    8.60

    8.70

    8.80

    8.90

    9.00

    9.10

    9.20

    9.30

    9.40

    9.50

  • 8/10/2019 Farokhi Tables B -E

    7/49

    5.60

    5.70

    5.80

    5.90

    6.00

    6.10

    6.20

    6.30

    6.40

    6.50

    6.60

    6.70

    6.80

    6.90

    7.00

    7.10

    7.20

    7.30

    7.40

    7.50

    7.60

    7.70

    7.80

    7.90

    8.00

    8.10

    8.20

    8.30

    8.40

    8.50

    8.60

    8.70

    8.80

    8.90

    9.00

    9.10

    9.20

    9.30

    9.40

    9.50

    T T

    P P P/p

    AlA

    7.2720 00 1.0370 03 1.4260 02 3.9740 01

    7.4980 00 1.1543 03 1.5394 02 4.2797 01

    7.7280 00 1.2830 03 1.6602 02 4.6049 01

    7.9620 00 1.4242 03 1.7888 02 4.9507 01

    8.2000 00 1.5789 03 1.9255 02 5.3179 01

    8.4420 00 1.7481 03 2.0707 02 5.7076 01

    8.6880 00 1.9329 03 2.2248 02 6.1209 01

    8.9380 00 2.1347 03 2.3884 02 6.5589 01

    9.1920 00 2.3547 03 2.5617 02 7.0227 01

    9.4500 00 2.5942 03 2.7452 02 7.5133 01

    9.7120 00 2.8548 03 2.9395 02 8.0322 01

    9.9780 00 3.1380 03 3.1449 02 8.5804 01

    1.0248 01 3.4454 03 3.3620 02 9.1592 01

    1.0522 01 3.7787 03 3.5913 02 9.7701 01

    1.0800 01 4.1398 03 3.8332 02 1.0414 02

    1.1082 01 4.5307 03 4.0883 02 1.1093 02

    1.1368 01 4.9533 03 4.3572 02 1.1808 02

    1.1658 01 5.4098 03 4.6405 02 1.2560 02

    1.1952 01 5.9026 03 4.9386 02 1.3352 02

    1.2250 01 6.4339 03 5.2522 02 1.4184 02

    1.2552 01 7.0064 03 5.5819 02 1.5058 02

    1.2858 01 7.6227 03 5.9283 02 1.5976 02

    1.3168 01 8.2855 03 6.2922 02 1.6940 02

    1.3482 01 8.9979 03 6.6740 02 1.7951 02

    1.3800 01 9.7629 03 7.0745 02 1.9011 02

    1.4122 01 1.0584 04 7.4945 02 2.0121 02

    1.4448 0 1 1.1464 04 7 .9345 02 2.1284 02

    1.4778 01 1.2407 04 8.3954 02 2.2502 02

    1.5112 01 1.3416 04 8.8778 02 2.3776 02

    1.5450 01 1.4496 04 9.3826 02 2.5108 02

    1.5792 01

    1.6138 01

    1.6488 01

    1.6842 01

    1.7200 01

    1.7562 01

    1.7928 01

    1.8298 01

    1.8672 01

    1.9050 01

    1.5651 04

    1.6884 04

    1.8201 04

    1.9605 04

    2.1103 04

    2.2699 04

    2.4398 04

    2.6207 04

    2.8130 04

    3.0174 04

    9.9104 03

    1.0462 03

    1.1039 03

    1.1641 03

    1.2269 03

    1.2925 03

    1.3609 03

    1.4322 03

    1.5065 03

    1.5839 03

    2.6501 02

    2.7956 02

    2.9476 02

    3.1063 02

    3.2719 02

    3.4445 02

    3.6246 02

    3.8122 02

    4.0077 02

    4.2113 02

    TIT

    1.6502-01

    1.6004-01

    1.5528-01

    1.5072-01

    1.4634-01

    1.4215-01

    1.3812-01

    1.3426-01

    1.3055-01

    1.2698-01

    1.2356-01

    1.2026-01

    1.1710-01

    1.1405-01

    1.1111-01

    1.0828-01

    1.0556-01

    1.0293-01

    1.0040-01

    9.7959 02

    9.5602 02

    9.3327 02

    9.1130 02

    8.9008-02

    8.6957 02

    8.4974-02

    8.3056 02

    8.1202-02

    7.9407 02

    7.7670 02

    7.5988 02

    7.4359 02

    7.2780 02

    7.1250 02

    6.9767 02

    6.8329 02

    6.6934 02

    6.5581 02

    6.4267 02

    6.2992 02

    Isentropic Table

    y

    = 1 4 9

    pip

    1.8253-03

    1.6399-03

    1.4754-03

    1.3291-03

    1.1989-03

    1.0829-03

    9.7930 04

    8.8673-04

    8.0389-04

    7.2966 04

    6.6306 04

    6.0323 04

    5.4941 04

    5.0095 04

    4.5725 04

    4.1780-04

    3.8216 04

    3.4991 04

    3.2070 04

    2.9421 04

    2.7017 04

    2.4833-04

    2.2846 04

    2.1038 04

    1.9389-04

    1.7885-04

    1.6512-04

    1.5257-04

    1.4109-04

    1.3058-04

    1.2095-04

    1.1211-04

    1.0400-04

    9.6551-05

    8.9698-05

    8.3392-05

    7.7584-05

    7.2231-05

    6.7292-05

    6.2734-05

    pip

    1.1062

    1.0247

    9.5014

    8.8186

    8.1925

    7.6180

    7.0901

    6.6047

    6.1578

    5.7461

    5.3664

    5.0158

    4.6920

    4.3925

    4.1152

    3.8584

    3.6203

    3.3993

    3.1941

    3.0034

    2.8260

    2.6608

    2.5070

    2.3636

    2.2297

    2.1048

    1.9881

    1.8789

    1.7768

    1.6812

    1.5917

    1.5077

    1.4290

    1.3551

    1.2857

    1.2204

    1.1591

    1.1014

    1.0471

    9.9590

    Contin

  • 8/10/2019 Farokhi Tables B -E

    8/49

    4

    ppendix B

    Isentropic Table

    TlT

    9.60 1.9432 01

    9.70 1.9818 01

    9.80 2.0208 01

    .90 2.0602 01

    00 2.1000 01

    10 2.1402 01

    0 2.1808 01

    30 2.2218 01

    40 2.2632 01

    50 2.3050 01

    60 2.3472 01

    70 2.3898 01

    80 2.4328 01

    0 2.4762 01

    00 2.5200 01

    10 2.5642 01

    20 2.6088 01

    30 2.6538 01

    40 2.6992 01

    2.7450 01

    0 2.7912 01

    0 2.8378 01

    80 2.8848 01

    90 2.9322 01

    00 2.9800 01

    10 3.0282 01

    20 3.0768 01

    0 3.1258 01

    40 3.1752 01

    50 3.2250 01

    60 3.2752 01

    70 3.3258 01

    80 3.3768 01

    90 3.4282 01

    0 3.4800 01

    10 3.5322 01

    20 3.5848 01

    30 3.6378 01

    0 3.6912 01

    0 3.7450 01

    l

    3.2345 04

    3.4650 04

    3.7096 04

    3.9690 04

    4.2439 04

    4.5351 04

    4.8435 04

    5.1697 04

    5.5148 04

    5.8796 04

    6.2651 04

    6.6721 04

    7.1019 04

    7.5553 04

    8.0334 04

    8.5375 04

    9.0687 04

    9.6281 04

    1.0217 05

    1.0837 05

    1.1489 05

    1.2174 05

    1.2895 05

    1.3651 05

    1.4446 05

    1.5281 05

    1.6157 05

    1.7075 05

    1.8038 05

    1.9048 05

    2.0106 05

    2.1215 05

    2.2375 05

    2.3590 05

    2.4862 05

    2.6191 05

    2.7582 05

    2.9036 05

    3.0555 05

    3.2143 05

    l

    1.6645 03

    1.7484 03

    1.8357 03

    1.9265 03

    2.0209 03

    2.1190 03

    2.2210 03

    2.3268 03

    2.4367 03

    2.5508 03

    2.6692 03

    2.7919 03

    2.9192 03

    3.0512 03

    3.1879 03

    3.3295 03

    3.4762 03

    3.6280 03

    3.7852 03

    3.9478 03

    4.1160 03

    4.2900 03

    4.4698 03

    4.6557 03

    4.8478 03

    5.0462 03

    5.2511 03

    5.4626 03

    5.6810 03

    5.9064 03

    6.1390 03

    6.3788 03

    6.6262 03

    6.8812 03

    7.1441 03

    7.4150 03

    7.6942 03

    7.9817 03

    8.2779 03

    8.5828 03

    AlA

    4.4232 02

    4.6436 02

    4.8730 02

    5.1114 02

    5.3593 02

    5.6168 02

    5.8843 02

    6.1621 02

    6.4504 02

    6.7495 02

    7.0599 02

    7.3816 02

    7.7152 02

    8.0609 02

    8.4190 02

    8.7899 02

    9.1739 02

    9.5714 02

    9.9828 02

    1.0408 03

    1.0848 03

    1.1303 03

    1.1774 03

    1.2260 03

    1.2762 03

    1.3281 03

    1.3816 03

    1.4369 03

    1.4940 03

    1.5529 03

    1.6136 03

    1.6762 03

    1.7408 03

    1.8074 03

    1.8761 03

    1.9468 03

    2.0196 03

    2.0947 03

    2.1719 03

    2.2515 03

    TIT

    6.1754 02

    6.0551 02

    5.9382 02

    5.8247 02

    5.7143 02

    5.6070 02

    5.5026 02

    5.4010 02

    5.3022 02

    5.2061 02

    5.1125 02

    5.0213 02

    4.9326 02

    4.8461 02

    4.7619 02

    4.6798 02

    4.5998 02

    4.5218 02

    4.4458 02

    4.3716 02

    4.2992 02

    4.2286 02

    4.1597 02

    4.0925 02

    4.0268 02

    3.9628 02

    3.9002-02

    3.8390 02

    3.7793 02

    3.7209 02

    3.6639 02

    3.6082 02

    3.5537 02

    3.5004-02

    3.4483-02

    3.3973 02

    3.3475 02

    3.2987 02

    3.2510 02

    3.2043 02

    pip

    5.8523 05

    5.4629-05

    5.1027-05

    4.7693-05

    4.4603-05

    4.1739-05

    3.9082-05

    3.6616-05

    3.4324-05

    3.2195-05

    3.0214-05

    2.8371-05

    2.6654-05

    2.5054-05

    2.3563-05

    2.2172 05

    2.0873 05

    1.9661-05

    1.8527-05

    1.7468-05

    1.6477-05

    1.5549-05

    1.4680-05

    1.3866-05

    1.3103-05

    1.2388-05

    1.1716-05

    1.1086-05

    1.0494-05

    9.9376 06

    9.4146 06

    8.9227 06

    8.4599 06

    8.0242 06

    7.6139 06

    7.2273 06

    6.8629 06

    6.5193 06

    6.1951 06

    5.8892 06

    pip

    9.4767 04

    9.0220 04

    8.5930 04

    8.1880 04

    7.8056 04

    7.4442 04

    7.1025 04

    6.7794 04

    6.4736 04

    6.1841 04

    5.9099 04

    5.6500 04

    5.4036 04

    5.1700 04

    4.9483 04

    4.7378 04

    4.5379 04

    4.3479 04

    4.1674 04

    3.9957 04

    3.8324 04

    3.6770 04

    3.5291 04

    3.3882 04

    3.2540 04

    3.1260 04

    3.0040 04

    2.8877 04

    2.7767 04

    2.6707 04

    2.5696 04

    2.4729 04

    2.3806 04

    2.2924 04

    2.2080 04

    2.1274 04

    2.0502 04

    1.9763-04

    1.9056-04

    1.8379-04

    13.

    13.

    13.

    13.

    14.

    14.

    14.

    14

    14

    14

    14

    14

    14

    14

    15

    16

    17

    18

    19

    20

    21

    22

    23

    24

    25

    26

    27

    28

    29

    30

    31

    32

    33

    34

    35

    40

    45

    50

    10

    10

  • 8/10/2019 Farokhi Tables B -E

    9/49

    13.60

    13.70

    13.80

    13.90

    14.00

    14.10

    14.20

    14.30

    14.40

    14.50

    14.60

    14.70

    14.80

    14.90

    15.00

    16.00

    17.00

    18.00

    19.00

    20.00

    21.00

    22.00

    23.00

    24.00

    25.00

    26.00

    27.00

    28.00

    29.00

    30.00

    31.00

    32.00

    33.00

    34.00

    35.00

    40.00

    45.00

    50.00

    100.00

    1000.00

    Isentropic Table

    y

    1.4

    T/T P/P P/p

    AlA

    TIT pip

    3.7992 01 3.3800 05 8.8967 03 2.3334 03 3.1586-02 5.6003-06

    3.8538 01 3.5531 05 9.2198 03 2.4177 03 3.1138-02

    5.3275-06

    3.9088 01 3.7338 05 9.5523 03 2.5044 03 3.0700-02 5.0697-06

    3.9642 01 3.9223 05 9.8944 03 2.5936 03 3.0271-02 4.8260-06

    4.0200 01 4.1190 05 1.0246 04 2.6854 03

    2.9851-02 4.5956-06

    4.0762 01

    4.1328 01

    4.1898 01

    4.2472 01

    4.3050 01

    4.3632 01

    4.4218 01

    4.4808 01

    4.5402 01

    4.6000 01

    5.2200 01

    5.8800 01

    6.5800 01

    7.3200 01

    8.1000 01

    8.9200 01

    9.7800 01

    1.0680 02

    1.1620 02

    1.2600 02

    1.3620 02

    1.4680 02

    1.5780 02

    1.6920 02

    1.8100 02

    1.9320 02

    2.0580 02

    2.1880 02

    2.3220 02

    2.4600 02

    3.2100 02

    4.0600 02

    5.0100 02

    2.0010 03

    2.0000 05

    4.3241 05

    4.5379 05

    4.7608 05

    4.9930 05

    5.2349 05

    5.4868 05

    5.7491 05

    6.0221 05

    6.3061 05

    6.6016 05

    1.0277 06

    1.5589 06

    2.3110 06

    3.3557 06

    4.7830 06

    6.7031 06

    9.2509 06

    1.2589 07

    1.6913 07

    2.2454 07

    2.9486 07

    3.8330 07

    4.9360 07

    6.3009 07

    7.9777 07

    1.0024 08

    1.2504 08

    1.5494 08

    1.9077 08

    2.3349 08

    5.9261 08

    1.3485 09

    2.8147 09

    3.5840 11

    3.5778 18

    1.0608 04

    2 7797

    03

    1.0980 04 2.8767 03

    1.1363 04 2.9764 03

    1.1756 04 3.0789 03

    1.2160 04 3.1842 03

    1.2575 04 3.2924 03

    1.3002 04 3 4035 03

    1.3440 04 3.5177 03

    1.3890 04 3.6349 03

    1.4351 04 3.7552 03

    1.9687 04 5.1445 03

    2.6512 04 6.9204 03

    3.5121 04 9.1592 03

    4.5843 04 1.1946 04

    5.9049 04 1.5377 04

    7.5147 04 1.9558 04

    9.4590 04 2.4606 04

    1.1788 05 3.0650 04

    1.4555 05 3.7832 04

    1.7821 05 4.6304 04

    2.1649 05 5.6235 04

    2.6110 05 6.7806 04

    3.1280 05 8.1211 04

    3.7239 05 9.6662 04

    4.4075 05 1.1438 05

    5.1882 05 1.3462 05

    6.0759 05 1.5763 05

    7.0814 05 1.8369 05

    8.2159 05 2.1309 05

    9.4916 05 2.4614 05

    1.8461 06 4.7853 05

    3.3214 06 8.6063 05

    5.6182 06 1.4554 06

    1.7911 08 4.6365 07

    1.7889 13 4.6296 12

    2.9439-02

    2.9036-02

    2.8641-02

    2.8254-02

    2.7875-02

    2.7503-02

    2.7138-02

    2.6781-02

    2.6431-02

    2.6087-02

    2.2989-02

    2.0408-02

    1.8237-02

    1.6393-02

    1.4815-02

    1.3453-02

    1.2270-02

    1.1236-02

    1.0327-02

    9.5238-03

    8.8106-03

    8.1744-03

    7.6046-03

    7.0922-03

    6.6298-03

    6.2112-03

    5.8309-03

    5.4845-03

    5.1680-03

    4.8780-03

    3.7383-03

    2.9557-03

    2.3952-03

    5.9970-04

    6.0000-06

    4.3776-06

    4.1714-06

    3.9761-06

    3.7912-06

    3.6160-06

    3.4500-06

    3.2926-06

    3.1433-06

    3.0017-06

    2.8674-06

    1.8420-06

    1.2143-06

    8.1911-07

    5.6409-07

    3.9576-07

    2.8240-07

    2.0462-07

    1.5036-07

    1.1192-07

    8.4302-08

    6.4197-08

    4.9385-08

    3.8350-08

    3.0042-08

    2.3728-08

    1.8885-08

    1.5138-08

    1.2217-08

    9.9224-09

    8.1070-09

    3.1942-09

    1.4038-09

    6.7252-10

    5.2816-12

    5.2908-19

    pi

    1.773

    1.710

    1.651

    1.594

    1.539

    1.487

    1.436

    1.388

    1.341

    1.297

    1.254

    1.213

    1.173

    1.135

    1.099

    8.0127

    5.949

    4.491

    3.4409

    2.6714

    2.0991

    1.6677

    1.3382

    1.0838

    8.8517

    7.2864

    6.0414

    5.0430

    4.2360

    3.5790

    3.0404

    2.5962

    2.2276

    1.9200

    1.6619

    8.5446

    4.7494

    2.8078

    8.8072

    8.8181

  • 8/10/2019 Farokhi Tables B -E

    10/49

    6 ppendix B Isentropic Table

    y

    =

    1 3

    T T

    PtiP

    P/P

    AlA

    TIT

    pip

    pip

    2 1.0001 00 1.0003 00 1.0002 00 2.9268 01

    1.1499 00 1.8319 00 1.5931 00

    4 1.0002 00 1.0010 00 1.0008 00 1.4644 01 1.1497 00 1.8305 00 1.5921 00

    6 1.0005 00 1.0023 00 1.0018 00 9.7740 00 1.1494 00 1.8281 00 1.5905 00

    8 1.0010 00 1.0042 00 1.0032 00 7.3423 00 1.1489 00 1.8248 00 1.5883 00

    0 1.0015 00 1.0065 00 1.0050 00 5.8860 00 1.1483 00 1.8206 00 1.5855 00

    2 1.0022 00 1.0094 00 1.0072 00 4.9174 00

    1.1475 00 1.8154 00 1.5820 00

    4 1.0029 00 1.0128 00 1.0098 00 4.2275 00 1.1466 00 1.8093 00 1.5779 00

    6 1.0038 00 1.0167 00 1.0129 00 3.7118 00 1.1456 00 1.8022 00 1.5732 00

    18 1.0049 00 1.0212 00 1.0163 00 3.3123 00 1.1444 00 1.7943 00 1.5679 00

    0 1.0060 00 1.0263 00 1.0201 00 2.9940 00 1.1431 00 1.7855 00 1.5619 00

    2 1.0073 00 1.0318 00 1.0244 00 2.7349 00 1.1417 00

    1.7759 00 1.5554 00

    4 1.0086 00 1.0380 00 1.0291 00 2.5202 00 1.1401 00

    1

    7654 00 1.5484 00

    1.0101 00 1.0447 00

    1.0342 00 2.3396 00 1.1385 00

    1.7540 00 1.5407 00

    8 1.0118 00 1.0520 00

    1.0397 00 2.1859 00 1.1366 00 1.7419 00 1.5325 00

    0 1.0135 00 1.0598 00 1.0457 00 2.0537 00 1.1347 00

    1.7290 00 1.5237 00

    2 1.0154 00 1.0683 00

    1.0521 00 1.9389 00 1.1326 00 1.7153 00 1.5145 00

    1.0173 00

    1.0773 00 1.0590 00 1.8385 00 1.1304 00 1.7009 00 1.5047 00

    6 1.0194 00 1.0870 00 1.0663 00 1.7502 00 1.1281 00 1.6857 00 1.4943 00

    1.0217 00 1.0973 00 1.0740 00 1.6719 00 1.1256 00 1.6699 00 1.4836 00

    0 1.0240 00 1.1082 00 1.0823 00 1.6023 00 1.1230 00 1.6534 00 1.4723 00

    2 1.0265 00 1.1198 00 1.0910 00 1.5401 00 1.1204 00

    1.6363 00 1.4606 00

    4 1.0290 00 1.1321 00 1.1001 00 1.4843 00 1.1175 00 1.6186 00 1.4484 00

    6 1.0317 00 1.1450 00 1.1098 00 1.4341 00 1.1146 00 1.6004 00 1.4358 00

    1.0346 00 1.1586 00 1.1199 00 1.3888 00 1.1116 00 1.5815 00 1.4228 00

    0 1.0375 00 1.1730 00 1.1306 00 1.3479 00

    1 1

    084 00 1.5622 00 1.4094 00

    2 1.0406 00 1.1880 00

    1.1417 00 1.3107 00 1.1052 00 1.5424 00 1.3956 00

    4 1.0437 00 1.2038 00 1.1534 00 1.2770 00 1.1018 00 1.5221 00 1.3815 00

    6 1.0470 00 1.2204 00 1.1656 00 1.2464 00 1.0983 00 1.5015 00 1.3670 00

    1.0505 00 1.2378 00 1.1783 00 1.2186 00 1.0948 00 1.4804 00 1.3523 00

    0 1.0540 00 1.2560 00 1.1916 00 1.1932 00 1.0911 00 1.4590 00 1.3372 00

    E OO 1.2750 00 1.2055 00 1.1702 00 1.0873 00

    1.4372 00 1.3218 00

    4 1.0614 00 1.2948 00 1.2199 00 1.1492 00 1.0834 00 1.4152 00 1.3062 00

    6 1.0653 00 1.3156 00 1.2349 00 1.1302 00 1.0795 00 1.3929 00 1.2903 00

    1.0694 00 1.3372 00 1.2505 00 1.1129 00 1.0754 00 1.3703 00 1.2742 00

    0 1.0735 00 1.3598 00 1.2667 00 1.0972 00 1.0713 00 1.3476 00 1.2579 00

    2 1.0778 00 1.3833 00 1.2835 00 1.0831 00 1.0670 00 1.3246 00 1.2414 00

    4 1.0821 00 1.4079 00 1.3010 00 1.0703 00 1.0627 00 1.3016 00 1.2247 00

    M

    0.7

    0.7

    0.8

    0.8

    0.8

    0.8

    0.8

    0.9

    0.

    0.

    0.

    0.

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

    1

  • 8/10/2019 Farokhi Tables B -E

    11/49

    Isentropic Table

    y =

    1.3

    M

    P/P

    AlA

    TIT pip pi

    0.76 1.0866 00 1.4334 00 1.3191 00 1.0589 00 1.0583 00 1.2784 00 1.207

    0.78 1.0913 00 1.4600 00 1.3379 00 1.0486 00 1.0538 00 1.2551 00 1.191

    0.80 1.0960 00 1.4877E OO 1.3574 00 1.0395 00 1.0493 00 1.2317E OO 1.173

    0.82 1.1009 00 1.5165 00 1.3775 00 1.0315 00 1.0446 00 1.2083 00 1.156

    0.84 1.1058 00 1.5464 00 1.3984 00 1.0245 00 1.0399 00 1.1849 00 1.139

    0.86 1.1109 00 1.5776 00 1.4200 00 1.0185 00 1.0352 00 1.1615 00 1.122

    0.88 1.1162 00 1.6100 00 1.4424 00 1.0134 00 1.0303 00 1.1382 00 1.104

    0.90 1.1215 00 1.6436 00 1.4655 00 1.0092 00 1.0254 00 1.1149 00 1.087

    0.92 1.1270 00 1.6786 00 1.4895 00 1.0058 00 1.0204 00 1.0917 00 1.069

    0.94 1.1325 00 1.7149 00 1.5142 00 1.0032 00 1.0154 00 1.0685 00 1.052

    0.96 1.1382 00 1.7526 00 1.5397 00 1.0014 00 1.0103 00 1.0455 00 1.034

    0.98 1.1441 00 1.7917 00 1.5661 00 1.0004 00 1.0052 00 1.0227 00 1.017

    1.00

    1.1500 00 1.8324 00 1.5934 00 1.0000 00 1.0000 00 1.0000 00 1.000

    1.02 1.1561 00 1.8746 00 1.6216 00

    1.0003 00 9.9476- 01

    9.7748-01 9.826

    1.04 1.1622 00 1.9184 00 1.6506 00 1.0014 00 9.8947- 01 9.5516-01 9.653

    1.06 1.1685 00 1.9639 00 1.6806 00 1.0030 00 9.8413-01 9.3304-0 1 9.480

    1.08 1.1750 00 2.0111 00 1.7116 00 1.0054 00 9.7876-01

    9.1115-01 9.309

    1.10 1.1815 00 2.0600 00 1.7436 00

    1.0083 00 9.7334-0 1

    8.8950-01 9.138

    1.12 1.1882 00 2.1108 00 1.7766 00 1.0119 00 9.6788-01 8.6809-01 8.969

    8.800

    8.633

    8.467

    8.302

    1.14 1.1949 00 2.1635 00 1.8106 00 1.0160 00 9.6239-0 1 8.4695-01

    1.16 1.2018 00 2.2182 00 1.8457 00

    1.0208 00 9.5687-01 8.2608-01

    1.18 1.2089 00 2.2749 00 1.8818 00 1.0262 00 9.5131-0 1 8.0549-01

    1.20 1.2160 00 2.3337 00 1.9192 00 1.0321 00 9.4572-0 1 7.8520- 01

    1.22 1.2233 00 2.3947 00 1.9576 00 1.0386 00 9.4011-0 1 7.6520-01 8.139

    1.24 1.2306 00 2.4579 00 1.9973 00 1.0457 00 9.3447-0 1 7.4551-01 7.977

    1.26 1.2381 00 2.5235 00 2.0381 00 1.0533 00 9.2881-0 1 7.2614-0 1 7.818

    1.28 1.2458 00 2.5915 00 2.0802 00 1.0616 00 9.2313-01 7.0709-01 7.659

    1.30

    1.32

    1.34

    1.36

    1.38

    1.2535 00 2.6620 00 2.1236 00 1.0703 00 9.1743- 01

    1.2614 00 2.7351 00 2.1683 00 1.0797 00 9.1171-01

    1.2693 00 2.8108 00 2.2144 00 1.0896 00 9.0598-0 1

    1.2774 00 2.8894 00 2.2619 00 1.1001 00 9.0024-0 1

    1.2857 00 2.9708 00 2.3107 00 1.1111 00 8.9448-01

    6.8836-01 7.503

    6.6997-01

    6.5191-01

    6.3418-01

    6.1680-01

    7.348

    7.195

    7.044

    6.895

    1.40 1.2940 00 3.0552 00 2.3611 00 1.1227 00 8.8872-01 5.9976-01 6.7486

    1.42 1.3025 00 3.1427 00 2.4129 00 1.1349 00 8.8294-01 5.8306-01 6.6036

    1.44 1.3110 00 3.2334 00 2.4663 00 1.1477 00 8.7717-01 5.6670-01 6.4606

    1.46 1.3197 00 3.3275 00 2.5213 00 1.1610 00 8.7138-01 5.5069-01 6.3198

    1.48 1.3286 00 3.4249 00 2.5779 00 1.1750 00 8.6560-01 5.3502-01 6.1810

    1.50 1.3375 00 3.5259 00 2.6362 00 1.1895 00 8.5981-01 5.1970-01 6.0443

    Con

  • 8/10/2019 Farokhi Tables B -E

    12/49

    8 Appendix 8 Isentropic Table

    T/T P/P P/P

    1.3466 00 3.6306 00 2.6962 00

    1.3557 00 3.7390 00 2.7579 00

    1.3650 00 3.8515 00 2.8215 00

    1.3745 00 3.9680 00 2.8869 00

    1.3840 00 4.0887 00 2.9543 00

    1.3937 00 4.2138 00 3.0236 00

    1.4034 00 4.3435 00 3.0949 00

    1.4133 00 4.4778 00 3.1682 00

    1.4234 00 4.6170 00 3.2437E OO

    1.4335 00 4.7612 00 3.3214 00

    1.4438 00 4.9107 00 3.4013 00

    1.4541 00 5.0655 00 3.4835 00

    1.4646 00 5.2259 00 3.5680 00

    1.4753 00 5.3921 00 3.6550 00

    1.4860 00 5.5643 00 3.7445 00

    1.4969 00 5.7427 00 3.8365 00

    1.5078 00 5.9274 00 3.9311 00

    1.5189 00 6.1189 00 4.0284 00

    1.5302 00 6.3171 00 4.1284 00

    1.5415 00 6.5225 00 4.2313 00

    1.5530 00 6.7353 00 4.3371 00

    1.5645 00 6.9556 00 4.4458 00

    1.5762 00 7.1838 00 4.5576 00

    1.5881 00 7.4202 00 4.6725 00

    1.6000 00 7.6650 00 4.7906 00

    1.6121 00 7.9185 00 4.9121 00

    1.6242 00 8.1811 00 5.0369 00

    1.6365 00 8.4529 00 5.1651 00

    1.6490 00 8.7345 00 5.2970 00

    1.6615 00 9.0260 00 5.4324 00

    1.6742 00 9.3278 00 5.5716 00

    1.6869 00 9.6403 00 5.7147 00

    1.6998 00 9.9638 00 5.8616 00

    1.7129 00 1.0299 01 6.0126 00

    1.7260 00 1.0646 01 6.1678 00

    1.7393 00 1.1005 01 6.3271 00

    1.7526 00 1.1376 01 6.4908 00

    1.7661 00 1.1761 01 6.6590 00

    1.7798 00 1.2159 01 6.8317 00

    1.7935 00 1.2571 01 7.0091 00

    AlA TIT

    1.2046 00 8.5403-01

    1.2203 00 8.4825-01

    1.2367 00 8.4247-01

    1.2536 00 8.3669-01

    1.2712 00 8.3092- 01

    1.2895 00 8.2517- 01

    1.3083 00 8.1942-01

    1.3279 00 8.1368-01

    1.3481 00 8.0795- 01

    1.3690 00 8.0223-01

    1.3906 00 7.9653- 01

    1.4128 00 7.9085 01

    1.4359 00 7.8518- 01

    1.4596 00

    7.7952 01

    1.4841 00 7.7389-01

    1.5093 00 7.6827-01

    1.5353 00 7.6268-01

    1.5621 00 7.5711-0 1

    1.5897 00 7.5156-0 1

    1.6181 00 7.4603-0 1

    1.6474 00 7.4052-0 1

    1.6775 00 7.3504-0 1

    1.7085 00 7.2958-0 1

    1.7404 00 7.2415-01

    1.7732 00 7.1875-0 1

    1.8069 00 7.1337-0 1

    1.8415 00 7.0802- 01

    1.8772 00 7.0270- 01

    1.9138 00 6.9741- 01

    1.9514 00 6.9215- 01

    1.9901 00 6.8691- 01

    2.0298 00 6.8171- 01

    2.0706 00 6.7653 01

    2.1125 00 6.7139- 01

    2.1555 00 6.6628-01

    2.1997 00 6.6120- 01

    2.2450 00 6.5615- 01

    2.2916 00 6.5114- 01

    2.3394 00 6.4615- 01

    2.3884 00 6.4120- 01

    pip

    5.0471-01

    4.9007 01

    4.7577 01

    4.6180 01

    4.4816 01

    4.3486 01

    4.2188 01

    4.0922 01

    3.9688-01

    3.8486-01

    3.7315-01

    3.6174-01

    3.5064-01

    3.3983-01

    3.2931-01

    3.1908-01

    3.0914-01

    2.9947-01

    2.9007-01

    2.8093-01

    2.7206-01

    2.6344-01

    2.5507-01

    2.4695 01

    2.3906-01

    2.3140-01

    2.2398-01

    2.1677-01

    2.0979-01

    2.0301-01

    1.9644-01

    1.9008-01

    1.8390-01

    1.7792-01

    1.7213-01

    1.6651-01

    1.6107-01

    1.5581-01

    1.5070-01

    1.4576-01

    pip

    5.9098-01

    5.7775-01

    5.6473 01

    5.5194-01

    5.3936-01

    5.2699-01

    5.1485-01

    5.0293-01

    4.9122 01

    4.7974 01

    4.6847 01

    4.5741 01

    4.4657 01

    4.3595 01

    4.2553 01

    4.1533 01

    4.0533 01

    3.9554-01

    3.8596-01

    3.7658-01

    3.6739-01

    3.5841-01

    3.4961-01

    3.4102-01

    3.3261-01

    3.2438-01

    3.1635-01

    3.0849-01

    3.0081-01

    2.9331-01

    2.8598-01

    2.7883-01

    2.7183-01

    2.6501-01

    2.5834-01

    2.5184-01

    2.4548-01

    2.3928-01

    2.3324-01

    2.2733-01

    M

    2.32

    2.3

    2.3

    2.3

    2.4

    2.4

    2.4

    2.4

    2.4

    2.5

    2.5

    2.5

    2.5

    2.5

    2.6

    2.6

    2.6

    2.6

    2.6

    2.7

    2.7

    2.7

    2.7

    2.7

    2.8

    2.8

    2.8

    2.8

    2.8

    2.9

    2.9

    2.9

    2.9

    2.9

    3.

    3.0

    3.

    3.

    3.

    3.

  • 8/10/2019 Farokhi Tables B -E

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    M T/T

    P/P

    P/

    p

    AlA TIT

    2.32 1.8074 00 1.2997 01

    7.1913 00 2.4388 00 6.3629-01

    2.34 1.8213 00 1.3439 01

    7.3784 00 2.4904 00 6.3140-01

    2.36 1.8354 00 1.3895 01

    7.5705 00 2.5434 00 6.2655-01

    2.38 1.8497 00 1.4368 01

    7.7678 00 2.5977 00 6.2174-01

    2.40 1.8640 00 1.4857 01

    7.9703 00 2.6535 00 6.1695-01

    2.42 1.8785 00 1.5363 01

    8.1783 00 2.7107 00 6.1220-01

    2.44 1.8930 00 1.5886 01

    8.3918 00 2.7693 00 6.0749-0 1

    2.46 1.9077 00 1.6428 01

    8.6110 00 2.8295 00 6.0281-0I

    2.48 1.9226 00 1.6988 01

    8.8360 00 2.8912 00 5.9816-01

    2.50 1.9375 00 1.7567 01

    9.0670 00 2.9544 00 5.9355- 01

    2.52 1.9526 00 1.8167 01

    9.3040 00 3.0193 00 5.8897-01

    2.54 1.9677 00 1.8787 01

    9.5473 00 3.0857 00 5.8443- 01

    2.56 1.9830 00 1.9428 01

    9.7970 00 3.1539 00 5.7992- 01

    2.58 1.9985 00 2.0091 01 1.0053 01 3.2238 00 5.7544-01

    2.60 2.0140 00 2.0777 01 1.0316 01 3.2954 00 5.7100-01

    2.62 2.0297 00 2.1486 01 1.0586 01 3.3688 00 5.6660-01

    2.64 2.0454 00 2.2219 01

    1.0863 01 3.4440 00 5.6223- 01

    2.66 2.0613 00 2.2978 01

    1.1147 01 3.5211 00 5.5789- 01

    2.68 2.0774 00 2.3761 01

    1.1438 01 3.6001 00 5.5359-01

    2.70 2.0935 00 2.4572 01

    1.1737 01 3.6810 00 5.4932- 01

    2.72 2.1098 00 2.5410 01

    1.2044 01 3.7639 00 5.4509-01

    2.74 2.1261 00 2.6276 01

    1.2358 01 3.8489 00 5.4089-01

    2.76 2.1426 00 2.7171 01 1.2681 01 3.9359 00 5.3672-01

    2.78 2.1593 00 2.8096 01 1.3012 01 4.0251 00 5.3259-01

    2.80 2.1760 00 2.9052 01

    1.3351 01 4.1164 00 5.2849- 01

    2.82 2.1929 00 3.0040 01 1.3699 01 4.2099 00 5.2443-01

    2.84 2.2098 00 3.1061 01

    1.4056 01 4.3057 00 5.2040- 01

    2.86 2.2269 00 3.2116 01

    1.4422 01 4.4038 00 5.1640- 01

    2.88 2.2442 00 3.3206 01

    1.4797 01 4.5043 00 5.1244-01

    2.90 2.2615 00 3.4333 01

    1.5181 01 4.6072 00 5.0851-01

    2.92 2.2790 00 3.5496 01

    1.5576 01 4.7125 00 5.0462-01

    2.94 2.2965 00 3.6698 01 1.5980 01 4.8204 00 5.00 75-01

    2.96 2.3142 00 3.7939 01

    1.6394 01 4.9308 00 4.9692-01

    2.98 2.3321 00 3.9222 01

    1.6818 01 5.0439 00 4.9313-01

    3.00 2.3500 00 4.0546 01 1.7254 01 5.1596 00

    4.8936-01

    3.05 2.3954 00 4.4049 01

    1.8389 01 5.4611 00

    4.8009-01

    3.10 2.4415 00 4.7845 01 1.9596 01 5.7806 00 4.7102-01

    3.15 2.4884 00 5.1954 01 2.0879 01 6.1190 00

    4.6215-01

    3.20 2.5360 00 5.6403 01 2.2241 01 6.4774 00

    4.5347-01

    3.25 2.5844 00 6.1215 01

    2.3687 01 6.8569 00

    4.4498-01

    Isentropic Tabler= 1.3

    pip

    1.4098-01

    1.3635-01

    1.3187-01

    1.2753-01

    1.2334-01

    1.1928-01

    1.1535-01

    1.1154-01

    1.0786-01

    1.0431-01

    1.0086-01

    9.7536-02

    9.4317-02

    9.1203-02

    8.8193-02

    8.5282-02

    8.2467-02

    7.9746-02

    7.7115-02

    7.4572-02

    7.2113-02

    6.9736-02

    6.7439-02

    6.5218-02

    6.3072-02

    6.0997-02

    5.8992-02

    5.7054-02

    5.5181-02

    5.3371-02

    5.1622-02

    4.9931-02

    4.8297-02

    4.6718-02

    4.5192-02

    4.1598-02

    3.8298-02

    3.5269-02

    3.2487-02

    2.9933-02

    pip

    2.2157

    2.1595

    2.1047

    2.0513

    1.9992

    1.9483

    1.8987

    1.8504

    1.8033

    1.7574

    1.7126

    1.6689

    1.6264

    1.5850

    1.5446

    1.5052

    1.4668

    1.4295

    1.3930

    1.3576

    1.3230

    1.2893

    1.2565

    1.2246

    1.1935

    1.1631

    1.1336

    1.1049

    1.0769

    1.0496

    1.0230

    9.9714

    9.7194

    9.4741

    9.2351

    8.6648

    8.1311

    7.6316

    7.1643

    6.7270

    Con

  • 8/10/2019 Farokhi Tables B -E

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    Appendix B Isentropic Table

    T T P P

    P P

    2.5221+01

    2.6849+01

    2.8575+01

    3.0404+01

    3.2342+01

    3.4395+01

    3.6569+01

    3.8869+01

    4.1303+01

    7.9004+01

    8.3649+01

    8.8540+01

    9.3687+01

    9.9103+01

    1.0480+02

    1.1079+02

    1.1708+02

    1.2369+02

    1.3064+02

    1.3793+02

    1.4559+02

    1.5362+02

    1.6205+02

    1.7088+02

    1.8015+02

    2.0002+02

    2.2182+02

    2.4570+02

    2.7183+02

    3.0039+02

    A/A

    7.2584+00

    7.6833+00

    8.1326+00

    8.6076+00

    9.1096+00

    9.6399+00

    1.0200+01

    1.0791+01

    1.1416+01

    TIT

    4.3668-01

    4.2856-01

    4.2063-01

    4.1287-01

    4.0529-01

    3.9787-01

    3.9063-01

    3.8354-01

    3.7662-01

    1.2074+01 3.6985-01

    1.2769+01 3.6323-01

    1.3501+01 3.5677-01

    1.4273+01 3.5045-01

    pip

    2.7588 02

    2.5433 02

    2.3455 02

    2.1637 02

    1.9967-02

    1.8431-02

    1.7020-02

    1.5722-02

    1.4529-02

    pip

    6.3177 02

    5.9347 02

    5.5763-02

    5.2407 02

    4.9267 02

    4.6326-02

    4.3573 02

    4.0994-02

    3.8579-02

    1.3431-02 3.6316-02

    1.2421-02 3.4196-02

    1.1491-02 3.2209-02

    1.0634-02 3.0346-02

    1.5087+01 3.4427-01 9.8457-03 2.8599-02

    1.5944+01 3.3824-01 9.1191 03

    2.6962-02

    1.6846+01

    1.7796+01

    1.8795+01

    1.9847+01

    2.0953+01

    2.2115+01

    2.3337+01

    2.4621+01

    2.5970+01

    2.7386+01

    2.8872+01

    3.0432+01

    3.2069+01

    3.3785+01

    3.5584+01

    3.7470+01

    3.9447+01

    4.1517+01

    4.3685+01

    4.5954+01

    5.0815+01

    5.6134+01

    6.1947+01

    6.8294+01

    7.5216+01

    3.3233-01

    3.2657-01

    8.4494-03

    7.8320-03

    2.5425-02

    2.3984-02

    3.2093-01 7.2626 03 2.2631-02

    3.1541-01 6.7373-03 2.1361-02

    3.1003-01

    3.0476-01

    2.9961-01

    2.9457-01

    2.8965-01

    2.8483-01

    2.8012-01

    2.7552-01

    2.7101-01

    2.6660-01

    2.6230-01

    2.5808-01

    2.5395-01

    2.4992-01

    2.4597-01

    2.4211-01

    2.3462-01

    2.2745-01

    2.2058-01

    2.1399-01

    2.0767-01

    6.2525-03

    5.8050-03

    5.3916-03

    5.0098 03

    4.6568-03

    4.3305-03

    4.0287-03

    3.7494-03

    3.4909-03

    3.2516-03

    3.0299-03

    2.8244-03

    2.6340-03

    2.4573-03

    2.2934-03

    2.1413-03

    1.8690-03

    1.6338-03

    1.4304-03

    1.2543-03

    1.1015-03

    2.0169-02

    1.9049-02

    1.7996-02

    1.7008-02

    1.6078-02

    1.5204-02

    1.4383-02

    1.3609-02

    1.2882-02

    1.2197-02

    1.1552-02

    1.0944-02

    1.0372-02

    9.8329-03

    9.3245-03

    8.8451-03

    7.9662-03

    7.1833-03

    6.4851-03

    5.8617-03

    5.3044-03

    M

    5.6

    5.7

    5.8

    5.9

    6.0

    6.1

    6.2

    6.3

    6.4

    6.5

    6.6

    6.7

    6.8

    6.9

    7.0

    7.1

    7.2

    7.3

    7.4

    7.5

    7.6

    7.7

    7.8

    7.9

    8.0

    8.1

    8.2

    8.3

    8.4

    8.5

    8 6

    8.

    8.

    8.

    9

    9

    9

    9

    9

    9

  • 8/10/2019 Farokhi Tables B -E

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    M

    5.60

    5.70

    5.80

    5.90

    6.00

    6.10

    6.20

    6.30

    6.40

    6.50

    6.60

    6.70

    6.80

    6.90

    7.00

    7.10

    7.20

    7.30

    7.40

    7.50

    7.60

    7.70

    7.80

    7.90

    8.00

    8.10

    8.20

    8.30

    8.40

    8.50

    8.60

    8.70

    8.80

    8.90

    9.00

    9.10

    9.20

    9.30

    9.40

    9.50

    T/T

    5.7040 00

    5.8735 00

    6.0460 00

    6.2215 00

    6.4000 00

    6.5815 00

    6.7660 00

    6.9535 00

    7.1440 00

    7.3375 00

    7.5340 00

    7.7335 00

    7.9360 00

    8.1415 00

    8.3500 00

    8.5615 00

    8.7760 00

    8.9935 00

    9.2140 00

    9.4375 00

    9.6640 00

    9.8935 00

    1.0126 01

    1.0362 01

    1.0600 01

    1.0842 01

    1.1086 01

    1.1334 01

    1.1584 01

    1.1838 01

    1.2094 01

    1.2354 01

    1.2616 01

    1.2882 01

    1.3150 01

    1.3422 01

    1.3696 01

    1.3973 01

    1.4254 01

    1.4537 01

    1.8913 03

    2.1471 03

    2.4341 03

    2.7554 03

    3.1147 03

    3.5160 03

    3.9635 03

    4.4619 03

    5.0163 03

    5.6322 03

    6.3156 03

    7.0729 03

    7.9112 03

    8.8380 03

    9.8615 03

    1.0991 04

    1.2235 04

    1.3604 04

    1.5109 04

    1.6763 04

    1.8577 04

    2.0566 04

    2.2744 04

    2.5126 04

    2.7731 04

    3.0574 04

    3.3676 04

    3.7057 04

    4.0740 04

    4.4746 04

    4.9102 04

    5.3834 04

    5.8969 04

    6.4538 04

    7.0573 04

    7.7108 04

    8.4179 04

    9.1823 04

    1.0008 05

    1.0900 05

    3.3157 02

    3.6556 02

    4.0259 02

    4.4288 02

    4.8668 02

    5.3422 02

    5.8579 02

    6.4168 02

    7.0217 02

    7.6759 02

    8.3828 02

    9.1458 02

    9.9688 02

    1.0856 03

    1.1810 03

    1.2837 03

    1.3941 03

    1.5126 03

    1.6398 03

    1.7762 03

    1.9223 03

    2.0787 03

    2.2461 03

    2.4250 03

    2.6161 03

    2.8201 03

    3.0377 03

    3.2697 03

    3.5169 03

    3.7800 03

    4.0600 03

    4.3578 03

    4.6741 03

    5.0102 03

    5.3668 03

    5.7451 03

    6.1462 03

    6.5712 03

    7.0213 03

    7.4977 03

    AlA

    8.2756 01

    9.0963 01

    9.9885 01

    1.0958 02

    1.2009 02

    1.3149 02

    1.4383 02

    1.5718 02

    1.7162 02

    1.8721 02

    2.0403 02

    2.2216 02

    2.4169 02

    2.6271 02

    2.8532 02

    3.0961 02

    3.3569 02

    3.6366 02

    3.9365 02

    4.2578 02

    4.6017 02

    4.9695 02

    5.3626 02

    5.7825 02

    6.2308 02

    6.7089 02

    7.2185 02

    7.7614 02

    8.3394 02

    8.9544 02

    9.6082 02

    1.0303 03

    1.1041 03

    1.1824 03

    1.2655 03

    1.3536 03

    1.4469 03

    1.5458 03

    1.6504 03

    1.7611 03

    TIT

    2.0161-01

    1.9579-01

    1.9021-01

    1.8484-01

    1.7969-01

    1.7473-01

    1.6997-01

    1.6538-01

    1.6097-01

    1.5673-01

    1.5264-01

    1.4870-01

    1.4491-01

    1.4125-01

    1.3772-01

    1.3432-01

    1.3104-01

    1.2787-01

    1.2481-01

    1.2185-01

    1.1900-01

    1.1624-01

    1.1357-01

    1.1099-01

    1.0849-01

    1.0607-01

    1.0373-01

    1.0147-01

    9.9275 02

    9.7149 02

    9.5088 02

    9.3091 02

    9.1154 02

    8.9275 02

    8.7452 02

    8.5683 02

    8.3966 02

    8.2299 02

    8.0679 02

    7.9106 02

    Isentropic Table y 1.3

    pip

    9.6883 04

    8.5337 04

    7.5277 04

    6.6499 04

    5.8827 04

    5.2114 04

    4.6230 04

    4.1066 04

    3.6527 04

    3.2533 04

    2.9012 04

    2.5906 04

    2.3161 04

    2.0732 04

    1.8580 04

    1.6672 04

    1.4976 04

    1.3469 04

    1.2127 04

    1.0931 04

    9.8631 05

    8.9093-05

    8.0562 05

    7.2923 05

    6.6075 05

    5.9929 05

    5.4409 05

    4.9444 05

    4.4975 05

    4.0948 05

    3.7316 05

    3.4036 05

    3.1072 05

    2.8390 05

    2.5963 05

    2.3762 05

    2.1766 05

    1.9954-05

    1.8308-05

    1.6810-05

    pip

    4.805

    4.3587

    3.9578

    3.5978

    3.2740

    2.9826

    2.7201

    2.4832

    2.2692

    2.0758

    1.9008

    1.7422

    1.598

    1.467

    1.349

    1.2412

    1.1430

    1.0534

    9.7169

    8.9708

    8.2890

    7.6652

    7.0941

    6.5708

    6.0908

    5.6502

    5.2454

    4.8732

    4.5307

    4.2153

    3.9246

    3.6565

    3.4090

    3.1803

    2.9690

    2.7735

    2.5925

    2.4248

    2.2694

    2.1252

    Con

  • 8/10/2019 Farokhi Tables B -E

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    Appendix 8 Isentropic Table

    T/T

    1.4824 01

    1.5113 01

    1.5406 01

    1.5701 01

    0 1.6000 01

    0 1.6301 01

    0 1.6606 01

    0 1.6913 01

    0 1.7224 01

    1.7537 01

    0 1.7854 01

    1.8173 01

    0 1.8496 01

    0 1.8821 01

    0 1.9150 01

    10 1.9481 01

    1 9816 0 1

    0 2.0153 01

    0 2.0494 01

    0 2.0837 01

    0 2.1184 01

    2.1533 01

    0 2.1886 0 1

    0 2.2241 01

    0 2.2600 01

    0 2.2961 01

    0 2.3326 01

    0 2.3693 01

    0 2.4064 01

    0 2.4437 01

    0 2.4814 01

    0 2.5193 01

    0 2.5576 01

    0 2.5961 01

    0 2.6350 01

    0 2.6741 01

    0 2.7136 01

    0 2.7533 01

    0 2.7934 01

    0 2.8337 01

    P P

    1.1862 05

    1.2899 05

    1.4016 05

    1.5218 05

    1.6513 05

    1.7904 05

    1.9399 05

    2.1004 05

    2.2727 05

    2.4575 05

    2.6555 05

    2.8676 05

    3.0948 05

    3.3378 05

    3.5977 05

    3.8754 05

    4.1721 05

    4.4889 05

    4.8269 05

    5.1874 05

    5.5717 05

    5.9812 05

    6.4172 05

    6.8812 05

    7.3749 05

    7.8999 05

    8.4579 05

    9.0507 05

    P/p AlA TIT

    8.0016 03 1.8781 03

    7.7577-02

    8.5345 03 2.0018 03 7.6091-02

    9.0976 03 2.1324 03

    7.4646-02

    9.6924 03 2.2703 03 7.3241-02

    1.0320 04 2.4159 03

    7.1875-02

    1.0983 04 2.5694 03 7.0546-02

    1.1682 04 2.7313 03

    6.9252-02

    1.2419 04 2.9019 03 6.7993-02

    1.3195 04 3.0815 03

    6.6767-02

    1.4013 04 3.2707 03 6.5574-02

    1.4873 04 3.4698 03 6.4411-02

    1.5779 04 3.6792 03

    6.3279-02

    1.6732 04 3.8993 03 6.2176-02

    1 7734 04 4.1308 03 6.1100-02

    1.8787 04 4.3739 03 6.0052-02

    1.9893 04 4.6293 03

    5.9030-02

    2.1054 04 4.8973 03 5.8034-02

    2.2274 04 5.1786 03 5.7062-02

    2.3553 04 5.4737 03 5.6114-02

    2.4895 04 5.7831 03 5.5189-02

    2.6302 04 6.1074 03 5.4286-02

    2.7776 04 6.4472 03

    5.3405-02

    2.9321 04 6.8031 03 5.2545-02

    3.0939 04 7.1757 03 5.1705-02

    3.2632 04 7.5657 03 5.0885-02

    3.4405 04

    3.6260 04

    3.8199 04

    7.9738 03

    8.4006 03

    8.8468 03

    5.0084-02

    4.9301-02

    4.8537-02

    9.6801 05 4.0227 04 9.3133 03 4.7789-02

    1.0348 06 4.2346 04 9.8006 03 4.7059-02

    1.1057

    06

    4.4560 04 1.0310 04

    4.6345-02

    1.1809 06 4.6872 04 1.0841 04 4.5647-02

    1.2606 06 4.9287 04 1.1396 04 4.4964-02

    1.3450 06 5.1807 04 1.1975 04 4.4296-02

    1.4344 06 5.4436 04 1.2579 04

    4.3643-02

    1.5291 06 5.7179 04 1.3210 04

    4.3004-02

    1.6292 06 6.0040 04 1.3866 04 4.2379-02

    1.7352 06 6.3022 04

    1.4551 04

    4.1767-02

    1.8473 06 6.6130 04

    1.5265 04 4.1168-02

    1.9657 06 6.9368 04

    1.6008 04

    4.0582-02

    pip

    1.5447-05

    1.4205-05

    1.3073-05

    1.2040-05

    1.1096-05

    1.0234-05

    9.4452-06

    8.7233-06

    8.0621-06

    7.4559-06

    6.8999-06

    6.3894-06

    5.9205-06

    5.4894-06

    5.0929-06

    4.7279-06

    4.3916-06

    4.0817-06

    3.7959-06

    3.5321-06

    3.2885-06

    3.0634-06

    2.8552-06

    2.6627-06

    2.4844-06

    2.3193-06

    2.1663-06

    2.0244-06

    pip

    1.9913-04

    1.8670-04

    1.7514-04

    1.6440-04

    1.5439-04

    1.4508-04

    1.3640-04

    1.2831-04

    1.2076-04

    1.1371-04

    1.0713-04

    1.0098-04

    9.5230-05

    8.9850-05

    8.4815-05

    8.0099-05

    7.5680-05

    7.1537-05

    6.7652-05

    6.4005-05

    6.0582-05

    5.7366-05

    5.4343-05

    5.1502-05

    4.8829-05

    4.6313-05

    4.3944-05

    4.1713-05

    1.8928-06

    3.9611-05

    1.7706-06 3.7628-05

    1.6571-06

    3.5759-05

    1.5516-06 3.3995-05

    1.4535-06 3.2329-05

    1.3623-06 3.0757-05

    1.2774-06 2.9271-05

    1.1983-06 2.7867-05

    1.1246-06 2.6539-05

    1.0559-06

    2.5283-05

    9.9186-07 2.4095-05

    9.3210-07

    2.2970-05

    13.60

    13.70

    13.8

    13.9

    14.0

    14.1

    14.2

    14.3

    14.4

    14.5

    14.6

    14.7

    14.8

    14.9

    15.0

    16.0

    17.0

    18.0

    19.0

    20.0

    21.0

    22.0

    23.0

    24.0

    25.0

    26.

    27.

    28.

    29.

    30.

    31.

    32.

    33.

    34.

    35

    40

    45

    50

    10

    10

  • 8/10/2019 Farokhi Tables B -E

    17/49

    _ .

    13.60

    13.70

    13.80

    13.90

    14.00

    14.10

    14.20

    14.30

    14.40

    14.50

    14.60

    14.70

    14.80

    14.90

    15.00

    16.00

    17.00

    18.00

    19.00

    20.00

    21.00

    22.00

    23.00

    24.00

    25.00

    26.00

    27.00

    28.00

    29.00

    30.00

    31.00

    32.00

    33.00

    34.00

    35.00

    40.00

    45.00

    50.00

    100.00

    1000.00

    2.8744 01

    2.9153 01

    2.9566 01

    2.9981 01

    3.0400 01

    3.0821 01

    3.1246 01

    3.1673 01

    3.2104 01

    3.2537 01

    3.2974 01

    3.3413 01

    3.3856 01

    3.4301 01

    3.4750 01

    3.9400 01

    4.4350 01

    4.9600 01

    5.5150 01

    6.1000 01

    6.7150 01

    7.3600 01

    8.0350 01

    8.7400 01

    9.4750 01

    1.0240 02

    1.1035 02

    1.1860 02

    1.2715 02

    1.3600 02

    1.4515 02

    1.5460 02

    1.6435 02

    1.7440 02

    1.8475 02

    2.4100 02

    3.0475 02

    3.7600 02

    1.5010 03

    1.5000 05

    AlA Tl r

    2.0908 06 7.2740 04 1.6782 04

    4.0008 02

    2.2230 06 7 6252 04

    1.7588 04

    3.9446 02

    2.3626 06 7.9908 04 1.8426 04

    3.8896 02

    2.5099 06 8.3713 04 1.9299 04 3.8357 02

    2.6652 06

    2.8291 06

    3.0019 06

    3.1839 06

    3.3758 06

    3.5778 06

    3.7905 06

    4.0143 06

    4.2498 06

    4.4975 06

    4.7579 06

    8.1991 06

    1.3693 07

    2.2235 07

    3.5208 07

    5.4497 07

    8.2630 07

    1.2295 08

    1.7984 08

    2.5891 08

    3.6738 08

    5.1432 08

    7.1112 08

    9.7192 08

    1.3141 09

    1.7590 09

    2.3324 09

    3.0655 09

    3.9957 09

    5.1677 09

    6.6342 09

    2.0989 10

    5.8033 10

    1.4423 11

    5.8105 13

    2.6889 22

    8.7672 04 2.0207 04

    3.7829 02

    9.1790 04 2.1151 04

    3.7312 02

    9.6072 04 2.2133 04 3.6805 02

    1.0052 05 2.3153 04

    3.6308 02

    1.0515 05 2.4213 04

    3.5821 02

    1.0996 05 2.5315 04

    3.5344 02

    1.1495 05 2.6459 04 3.4876 02

    1.2014 05 2.7648 04

    3.4417 02

    1.2553 05 2.8881 04 3.3967 02

    1.3112 05 3.0162 04

    3.3526 02

    1.3692 05 3.1490 04 3.3094 02

    2.0810 05 4.7777 04

    2.9188 02

    3.0874 05 7.0781 04 2.5930 02

    4.4828 05 1.0265 05

    2.3185 02

    6.3840 05 1.4603 05

    2.0852 02

    8.9339 05 2.0417 05

    1.8852 02

    1.2305 06 2.8101 05

    1.7126 02

    1.6706 06 3.8125 05 1.5625 02

    2.2382 06 5.1048 05

    1.4312 02

    2.9624 06 6.7532 05 1.3158 02

    3.8773 06 8.8350 05

    1.2137 02

    5.0226 06 1.1440 06 1.1230 02

    6.4443 06 1.4673 06

    1.0421 02

    8.1950 06 1.8653 06

    9.6965 03

    1.0335 07 2.3518 06

    9.0444 03

    1.2934 07 2.9424 06 8.4559 03

    1.6069 07 3.6548 06 7.9228 03

    1.9829 07 4.5089 06

    7.4386 03

    2.4312 07 5.5274 06 6.9973 03

    2.9631 07 6.7355 06

    6.5940 03

    3.5909 07 8.1612 06

    6.2246 03

    8.7092 07 1.9781 07

    4.7718 03

    1.9043 08 4.3233 07 3.7736 03

    3.8360 08 8.7061 07

    3.0585 03

    3.8711 10 8.7770 09

    7.6616 04

    1.7926 17 4.0630 16

    7.6666 06

    pip pip

    8.7631-07 2.1905

    8.2421-07 2.0896

    7.7552 07

    1.9940

    7.3001 07 1.9034

    6.8745 07

    6.4763 07

    6.1036 07

    5.7546 07

    5.4276 07

    5.1211 07

    4.8338 07

    4.5642 07

    4.3113 07

    4.0739 07

    3.8509 07

    2.2347 07

    1.3381-07

    8.2403 08

    5.2039 08

    3.3620 08

    2.2173 08

    1.4901 08

    1.0188-08

    7.0764 09

    4.9872 09

    3.5623 09

    2.5764 09

    1.8851 09

    1.3942 09

    1.0416 09

    7.8552 10

    5.9766 10

    4.5852 10

    3.5454 10

    2.7616 10

    8.7289-11

    3.1570-11

    1.2702-11

    3.1530 14

    6.8124 23

    1.8174

    1.7359

    1.6585

    1.5851

    1.5153

    1.4491

    1.3861

    1.3263

    1.2694

    1.2152

    1.1637

    7.6570

    5.1610

    3.5545

    2.4959

    1.7835

    1.2949

    9.5381

    7.1193

    5.3788

    4.1095

    3.1724

    2.4726

    1.9444

    1.5417

    1.2320

    9.9161

    8.0359

    6.5539

    5.3775

    4.4373

    1.8296

    8.3675

    4.1538

    4.1162

    8.8889

  • 8/10/2019 Farokhi Tables B -E

    18/49

    PPENDIX

    ormal

    I e

    hock

    N

    rmal shock relations that are used

    in

    calculating the jump conditions, for a calor

    ically perfect gas i.e.,

    y =

    constant), are summarized below:

    2

    2

    + y l M ~

    M 2 = ~ . : ; _

    y M ~

    y

    1)

    P2

    y +

    -=---. . : : . . . .__

    Pt 2

    + y

    -

    1 M ~

    P2

    =

    1 + _2 ::_ M2 -1

    Pt r +

    1

    1

    1

    M -1

    2

    _ [

    2y

    2

    )]

    [ 2 + y - 1 ) M ~ l

    T1 Y

    + 1

    1

    y + 1

    Pt2 [ 2 1 + r - I + y - 1 ) M l r ~ I

    = 1+

    r

    2

    2 1

    Ptt r

    +

    1 MI

    -1 ] I 2 r M ~ - r 1)

    1+r-IM2

    2 1

    l lsjR = In pt2jPn)

    Pt2 = Pt2

    Pn

    = [

    1

    + _2 ::_ M

    2

    _

    1

    )] [+

    y

    1 2 +

    y

    1 M ~ ]

    P1 Pt P1

    Y +

    1

    1

    1

    2

    y M ~ y

    1)

    We have derived these expressions

    in

    Chapte r 2.

    Aircraft Propulsion, Second Edition. Saeed Farokhi.

    2014 John Wiley Sons, Ltd. Published 2014 by John Wiley Sons, Ltd.

    Companion Website: www.wiley.com/go/farokhi

    C.l)

    (C.2)

    (C.3)

    (C.4)

    C.S)

    C.6)

    C.7)

    Mt

    1.02

    1.04

    1.06

    1.08

    1.1

    1.12

    1.14

    1.16

    1.18

    1.2

    1.22

    1.24

    1.26

    1.28

    1.3

    1.32

    1.34

    1.36

    1.38

    1.4

    1.42

    1.44

    1.46

    1.48

    1.5

    1.52

    1.54

    1.56

    1.58

    1.6

    1.6

    1.6

    1.6

    1.6

    1.7

    1.7

    1.7

  • 8/10/2019 Farokhi Tables B -E

    19/49

    C.l)

    C.2)

    C.3)

    C.4)

    C.S)

    C.6)

    C.7)

    Normal Shock Table

    =

    1.4

    1.02

    1.04

    1.06

    1.08

    1 1

    1.12

    1.14

    1.16

    1.18

    1.2

    1.22

    1.24

    1.26

    1.28

    1 3

    1.32

    1.34

    1.36

    1.38

    1.4

    1.42

    1.44

    1.46

    1.48

    1 5

    1.52

    1.54

    1.56

    1.58

    1.6

    1.62

    1.64

    1.66

    1.68

    1 7

    1.72

    1.74

    0.9805

    0.9620

    0.9444

    0.9277

    0.9118

    0.8966

    0.8820

    0.8682

    0.8549

    0.8422

    0.8300

    0.8183

    0.8071

    0.7963

    0.7860

    0.7760

    0.7664

    0.7572

    0.7483

    0.7397

    0.7314

    0.7235

    0.7157

    0.7083

    0.7011

    0.6941

    0.6874

    0.6809

    0.6746

    0.6684

    0.6625

    0.6568

    0.6512

    0.6458

    0.6405

    0.6355

    0.6305

    1.0132 00

    1.0263 00

    1.0393 00

    1.0522 00

    1.0649 00

    1.0776 00

    1.0903 00

    1.1029 00

    1.1154 00

    1.1280 00

    1.1405 00

    1.1531 00

    1.1657 00

    1.1783 00

    1.1909 00

    1.2035 00

    1.2162 00

    1.2290 00

    1.2418 00

    1.2547 00

    1.2676 00

    1.2807 00

    1.2938 00

    1.3069 00

    1.3202 00

    1.3336 00

    1.3470 00

    1.3606 00

    1.3742 00

    1.3880 00

    1.4018 00

    1.4158 00

    1.4299 00

    1.4440 00

    1.4583 00

    1.4727 00

    1.4873 00

    1.0471 00

    1.0952 00

    1.1442 00

    1.1941 00

    1.2450 00

    1.2968 00

    1.3495 00

    1.4032 00

    1.4578 00

    1.5133 00

    1.5698 00

    1.6272 00

    1.6855 00

    1.7448 00

    1.8050 00

    1.8661 00

    1.9282 00

    1.9912 00

    2.0551 00

    2.1200 00

    2.1858 00

    2.2525 00

    2.3202 00

    2.3888 00

    2.4583 00

    2.5288 00

    2.6002 00

    2.6725 00

    2.7458 00

    2.8200 00

    2.8951 00

    2.9712 00

    3.0482 00

    3.1261 00

    3.2050 00

    3.2848 00

    3.3655 00

    1.0334 00

    1.0671 00

    1.1009 00

    1.1349 00

    1.1691 00

    1.2034 00

    1.2378 00

    1.2723 00

    1.3069 00

    1.3416 00

    1.3764 00

    1.4112 00

    1.4460 00

    1.4808 00

    1.5157 00

    1.5505 00

    1.5854 00

    1.6202 00

    1.6549 00

    1.6897 00

    1.7243 00

    1.7589 00

    1.7934 00

    1.8278 00

    1.8621 00

    1.8963 00

    1.9303 00

    1.9643 00

    1.9981 00

    2.0317 00

    2.0653 00

    2.0986 00

    2.1318 00

    2.1649 00

    2.1977 00

    2.2304 00

    2.2629 00

    Normal Shock Table

    y

    = 1.4

    9.9999-01

    9.9992-01

    9.9975-01

    9.9943-01

    9.9893-01

    9.9821-01

    9.9726-01

    9.9605-01

    9.9457-01

    9.9280-01

    9.9073-01

    9.8836-01

    9.8568-01

    9.8268-01

    9.7937-01

    9.7575-01

    9.7182-01

    9.6758-01

    9.6304-01

    9.5819-01

    9.5306-01

    9.4765-01

    9.4196-01

    9.3600-01

    9.2979-01

    9.2332-01

    9.1662-01

    9.0970-01

    9.0255-01

    8.9520-01

    8.8765-01

    8.7992-01

    8.7201-01

    8.6394-01

    8.5572-01

    8.4736-01

    8.3886-01

    1.8929

    1.9379 00

    1.9844 00

    2.0325 00

    2.0819 00

    2.1328 00

    2.1851 00

    2.2388 00

    2.2937 00

    2.3500 00

    2.4075 00

    2.4663 00

    2.5263 00

    2.5875 00

    2.6500 00

    2.7136 00

    2.7784 00

    2.8444 00

    2.9115 00

    2.9798 00

    3.0492 00

    3.1198 00

    3.1915 00

    3.2643 00

    3.3382 00

    3.4133 00

    3.4894 00

    3.5667 00

    3.6450 00

    3.7244 00

    3.8050 00

    3.8866 00

    3.9693 00

    4.0531 00

    4.1379 00

    4.2238 00

    4.3108 00

    4.3989 00

    is

    0

    9.955

    7.669

    2.492

    5.694

    1.072

    1.788

    2.742

    3.955

    5.446

    7.227

    9.312

    1.170

    1.442

    1.746

    2.084

    2.454

    2.858

    3.295

    3.766

    4.270

    4.807

    5.377

    5.979

    6.613

    7.280

    7.977

    8.705

    9.464

    1.025

    1.107

    1.191

    1.279

    1.369

    1.462

    1.558

    1.656

    1.757

    Con

  • 8/10/2019 Farokhi Tables B -E

    20/49

    6 Appendix C Normal Shock Table

    M2

    0.6257

    0.6210

    0.6165

    0.6121

    0.6078

    0.6036

    0.5996

    0.5956

    0.5918

    0.5880

    0.5844

    0.5808

    0.5774

    0.5740

    0.5707

    0.5675

    0.5643

    0.5613

    0.5583

    0.5554

    0.5525

    0.5498

    0.5471

    0.5444

    0.5418

    0.5393

    0.5368

    0.5344

    0.5321

    0.5297

    0.5275

    0.5253

    0.5231

    0.5210

    0.5189

    0.5169

    0.5149

    0.5130

    0.5111

    0.5092

    T T

    1

    1.5019 00

    1.5167 00

    1.5316 00

    1.5466 00

    1.5617 00

    1.5770 00

    1.5924 00

    1.6079 00

    1.6236 00

    1.6394 00

    1.6553 00

    1.6713 00

    1.6875 00

    1.7038 00

    1.7203 00

    1.7369 00

    1.7536 00

    1.7705 00

    1.7875 00

    1.8046 00

    1.8219 00

    1.8393 00

    1.8569 00

    1.8746 00

    1.8924 00

    1.9104 00

    1.9285 00

    1.9468 00

    1.9652 00

    1.9838 00

    2.0025 00

    2.0213 00

    2.0403 00

    2.0595 00

    2.0788 00

    2.0982 00

    2.1178 00

    2.1375 00

    2.1574 00

    2.1774 00

    P2IP

    3.4472 00

    3.5298 00

    3.6133 00

    3.6978 00

    3.7832 00

    3.8695 00

    3.9568 00

    4.0450 00

    4.1341 00

    4.2242 00

    4.3152 00

    4.4071 00

    4.5000 00

    4.5938 00

    4.6885 00

    4.7842 00

    4.8808 00

    4.9783 00

    5.0768 00

    5.1762 00

    5.2765 00

    5.3778 00

    5.4800 00

    5.5831 00

    5.6872 00

    5.7922 00

    5.8981 00

    6.0050 00

    6.1128 00

    6.2215 00

    6.3312 00

    6.4418 00

    6.5533 00

    6.6658 00

    6.7792 00

    6.8935 00

    7.0088 00

    7.1250 00

    7.2421 00

    7.3602 00

    P2IP

    2.2952 00

    2.3273 00

    2.3592 00

    2.3909 00

    2.4224 00

    2.4537 00

    2.4848 00

    2.5157 00

    2.5463 00

    2.5767 00

    2.6069 00

    2.6369 00

    2.6667 00

    2.6962 00

    2.7255 00

    2.7545 00

    2.7833 00

    2.8119 00

    2.8402 00

    2.8683 00

    2.8962 00

    2.9238 00

    2.9512 00

    2.9784 00

    3.0053 00

    3.0319 00

    3.0584 00

    3.0845 00

    3.1105 00

    3.1362 00

    3.1617 00

    3.1869 00

    3.2119 00

    3.2367 00

    3.2612 00

    3.2855 00

    3.3095 00

    3.3333 00

    3.3569 00

    3.3803 00

    Pt Pu

    8.3024-01

    8.2151-01

    8.1268-01

    8.0376-01

    7.9476-01

    7.8569-01

    7.7655-01

    7.6736-01

    7.5812-01

    7.4884-01

    7.3954-01

    7.3021-01

    7.2087-01

    7.1153-01

    7.0218-01

    6.9284-01

    6.8351-01

    6.7420-01

    6.6492-01

    6.5567-01

    6.4645-01

    6.3727-01

    6.2814-01

    6.1905-01

    6.1002-01

    6.0105-01

    5.9214-01

    5.8329-01

    5.7452-01

    5.6581-01

    5.5718-01

    5.4862-01

    5.4014-01

    5.3175-01

    5.2344-01

    5.1521-01

    5.0707-01

    4.9901-01

    4.9105-01

    4.8318-01

    PuiPt

    4.4880 00

    4.5782 00

    4.6695 00

    4.7618 00

    4.8552 00

    4.9497 00

    5.0452 00

    5.1418 00

    5.2394 00

    5.3381 00

    5.4378 00

    5.5386 00

    5.6404 00

    5.7433 00

    5.8473 00

    5.9523 00

    6.0583 00

    6.1654 00

    6.2735 00

    6.3827 00

    6.4929 00

    6.6042 00

    6.7165 00

    6.8298 00

    6.9442 00

    7.0597 00

    7.1762 00

    7.2937 00

    7.4122 00

    7.5319 00

    7.6525 00

    7.7742 00

    7.8969 00

    8.0207 00

    8.1455 00

    8.2713 00

    8.3982 00

    8.5261 00

    8.6551 00

    8.7851 00

    4s R

    1.8604-01

    1.9661-01

    2.0741-01

    2.1845-01

    2.2971-01

    2.4120-01

    2.5290-01

    2.6480-01

    2.7691-01

    2.8922-01

    3.0173-01

    3.1442-01

    3.2729-01

    3.4034-01

    3.5357-01

    3.6696-01

    3.8051-01

    3.9422-01

    4.0809-01

    4.2210-01

    4.3626-01

    4.5056-01

    4.6500-01

    4.7956-01

    4.9426-01

    5.0908-01

    5.2401-01

    5.3906-01

    5.5423-01

    5.6950-01

    5.8487-01

    6.0035-01

    6.1592-01

    6.3159-01

    6.4734-01

    6.6318-01

    6.7911-01

    6.9512-01

    7.1120-01

    7.2736-01

    l

    2.5

    2.58

    2.6

    2.6

    2.6

    2.6

    2.6

    2.7

    2.7

    2.7

    2.7

    2.7

    2.8

    2.8

    2.8

    2.8

    2.8

    2.9

    2.9

    2.9

    2.9

    2.9

    3

    3.0

    3.0

    3.0

    3.0

    3 1

    3.1

    3.1

    3.1

    3.1

    3.2

    3.2

    3.2

    3.2

    3.2

    3.3

    3.3

    3.3

  • 8/10/2019 Farokhi Tables B -E

    21/49

    2.56

    2.58

    2.6

    2.62

    2.64

    2.66

    2.68

    2.7

    2.72

    2.74

    2.76

    2.78

    2.8

    2.82

    2.84

    2.86

    2.88

    2.9

    2.92

    2.94

    2.96

    2.98

    3

    3.02

    3.04

    3.06

    3.08

    3 1

    3.12

    3.14

    3.16

    3.18

    3.2

    3.22

    3.24

    3.26

    3.28

    3.3

    3.32

    3.34

    0.5074

    0.5056

    0.5039

    0.5022

    0.5005

    0.4988

    0.4972

    0.4956

    0.4941

    0.4926

    0.4911

    0.4896

    0.4882

    0.4868

    0.4854

    0.4840

    0.4827

    0.4814

    0.4801

    0.4788

    0.4776

    0.4764

    0.4752

    0.4740

    0.4729

    0.4717

    0.4706

    0.4695

    0.4685

    0.4674

    0.4664

    0.4654

    0.4643

    0.4634

    0.4624

    0.4614

    0.4605

    0.4596

    0.4587

    0.4578

    2.1976 00

    2.2179 00

    2.2383 00

    2.2590 00

    2.2797 00

    2.3006 00

    2.3217 00

    2.3429 00

    2.3642 00

    2.3858 00

    2.4074 00

    2.4292 00

    2.4512 00

    2.4733 00

    2.4955 00

    2.5179 00

    2.5405 00

    2.5632 00

    2.5861 00

    2.6091 00

    2.6322 00

    2.6555 00

    2.6790 00

    2.7026 00

    2.7264 00

    2.7503 00

    2.7744 00

    2.7986 00

    2.8230 00

    2.8475 00

    2.8722 00

    2.8970 00

    2.9220 00

    2.9471 00

    2.9724 00

    2.9979 00

    3.0234 00

    3.0492 00

    3.0751 00

    3.1011 00

    7.4792 00

    7.5991 00

    7.7200 00

    7.8418 00

    7.9645 00

    8.0882 00

    8.2128 00

    8.3383 00

    8.4648 00

    8.5922 00

    8.7205 00

    8.8498 00

    8.9800 00

    9.1111 00

    9.2432 00

    9.3762 00

    9.5101 00

    9.6450 00

    9.7808 00

    9.9175 00

    1.0055 01

    1.0194 01

    1.0333 01

    1.0474 01

    1.0615 01

    1.0758 01

    1.0901 01

    1.1045 01

    1.1190 01

    1.1336 01

    1.1483 01

    1.1631 01

    1.1780 01

    1.1930 01

    1.2081 01

    1.2232 01

    1.2385 01

    1.2538 01

    1.2693 01

    1.2848 01

    3.4034 00

    3.4263 00

    3.4490 00

    3.4714 00

    3.4937 00

    3.5157 00

    3.5374 00

    3.5590 00

    3.5803 00

    3.6015 00

    3.6224 00

    3.6431 00

    3.6636 00

    3.6838 00

    3.7039 00

    3.7238 00

    3.7434 00

    3.7629 00

    3.7821 00

    3.8012 00

    3.8200 00

    3.8387 00

    3.8571 00

    3.8754 00

    3.8935 00

    3.9114 00

    3.9291 00

    3.9466 00

    3.9639 00

    3.9811 00

    3.9981 00

    4.0149 00

    4.0315 00

    4.0479 00

    4.0642 00

    4.0803 00

    4.0963 00

    4.1120 00

    4.1276 00

    4.1431 00

    Normal Shock Table y =1 4

    4.7540-01

    4.6772-01

    4.6012-01

    4.5263-01

    4.4522-01

    4.3792-01

    4.3071-01

    4.2359-01

    4.1657-01

    4.0965-01

    4.0283-01

    3.9610-01

    3.8946-01

    3.8293-01

    3.7649-01

    3.7014-01

    3.6389-01

    3.5773-01

    3.5167-01

    3.4570-01

    3.3982-01

    3.3404-01

    3.2834-01

    3.2274-01

    3.1723-01

    3.1180-01

    3.0646-01

    3.0121-01

    2.9605-01

    2.9097-01

    2.8597-01

    2.8106-01

    2.7623-01

    2.7148-01

    2.6681-01

    2.6222-01

    2.5771-01

    2.5328-01

    2.4892-01

    2.4463-01

    8.9161 00

    9.0482 00

    9.1813 00

    9.3155 00

    9.4506 00

    9.5869 00

    9.7241 00

    9.8624 00

    1.0002 01

    1.0142 01

    1.0283 01

    1.0426 01

    1.0569 01

    1.0714 01

    1.0859 01

    1.1006 01

    1.1154 01

    1.1302 01

    1.1452 01

    1.1603 01

    1.1754 01

    1.1907 01

    1.2061 01

    1.2216 01

    1.2372 01

    1.2529 01

    1.2687 01

    1.2846 01

    1.3006 01

    1.3167 01

    1.3329 01

    1.3492 01

    1.3656 01

    1.3821 01

    1.3987 01

    1.4155 01

    1.4323 01

    1.4492 01

    1.4662 01

    1.4834 01

    l.s

    7.436

    7.599

    7.762

    7.9269

    8.0918

    8.2573

    8.423

    8.5899

    8.757

    8.924

    9.0925

    9.2610

    9.4298

    9.5991

    9.7687

    9.9387

    1.0109

    1.0280

    1.0451

    1.0622

    1.0793

    1.0965

    1.1137

    1.1309

    1.1481

    1.1654

    1.1827

    1.1999

    1.2172

    1.2345

    1.2519

    1.2692

    1.2865

    1.3039

    1.3212

    1.3386

    1.3559

    1.3733

    1.3906

    1.4080

    Con

  • 8/10/2019 Farokhi Tables B -E

    22/49

    9 8 Appendix C Normal Shock Table

    Mt

    3.36

    3.38

    3.4

    3.42

    3.44

    3.46

    3.48

    3.5

    3.52

    3.54

    3.56

    3.58

    3.6

    3.62

    3.64

    3.66

    3.68

    3.7

    3.72

    3.74

    3.76

    3.78

    3.8

    3.82

    3.84

    3.86

    3.88

    3.9

    3.92

    3.94

    3.96

    3.98

    4

    4 1

    4.2

    4.3

    4.4

    4.5

    4.6

    M2

    0.4569

    0.4560

    0.4552

    0.4544

    0.4535

    0.4527

    0.4519

    0.4512

    0.4504

    0.4496

    0.4489

    0.4481

    0.4474

    0.4467

    0.4460

    0.4453

    0.4446

    0.4439

    0.4433

    0.4426

    0.4420

    0.4414

    0.4407

    0.4401

    0.4395

    0.4389

    0.4383

    0.4377

    0.4372

    0.4366

    0.4360

    0.4355

    0.4350

    0.4324

    0.4299

    0.4277

    0.4255

    0.4236

    0.4217

    T Tt

    3.1273 00

    3.1537 00

    3.1802 00

    3.2069 00

    3.2337 00

    3.2607 00

    3.2878 00

    3.3151 00

    3.3425 00

    3.3701 00

    3.3978 00

    3.4257 00

    3.4537 00

    3.4819 00

    3.5103 00

    3.5388 00

    3.5674 00

    3.5962 00

    3.6252 00

    3.6543 00

    3.6836 00

    3.7130 00

    3.7426 00

    3.7723 00

    3.8022 00

    3.8323 00

    3.8625 00

    3.8928 00

    3.9233 00

    3.9540 00

    3.9848 00

    4.0158 00

    4.0469 00

    4.2048 00

    4.3666 00

    4.5322 00

    4.7017 00

    4.8751 00

    5.0523 00

    P2IP1

    1.3005 01

    1.3162 01

    1.3320 01

    1.3479 01

    1.3639 01

    1.3800 01

    1.3962 01

    1.4125 01

    1.4289 01

    1.4454 01

    1.4619 01

    1.4786 01

    1.4953 01

    1.5122 01

    1.5291 01

    1.5462 01

    1.5633 01

    1.5805 01

    1.5978 01

    1.6152 01

    1.6327 01

    1.6503 01

    1.6680 01

    1.6858 01

    1.7037 01

    1.7216 01

    1.7397 01

    1.7578 01

    1.7761 01

    1.7944 01

    1.8129 01

    1.8314 01

    1.8500 01

    1.9445 01

    2.0413 01

    2.1405 01

    2.2420 01

    2.3458 01

    2.4520 01

    P Pt

    4.1583 00

    4.1734 00

    4.1884 00

    4.2032 00

    4.2179 00

    4.2323 00

    4.2467 00

    4.2609 00

    4.2749 00

    4.2888 00

    4.3026 00

    4.3162 00

    4.3296 00

    4.3429 00

    4.3561 00

    4.3692 00

    4.3821 00

    4.3949 00

    4.4075 00

    4.4200 00

    4.4324 00

    4.4447 00

    4.4568 00

    4.4688 00

    4.4807 00

    4.4924 00

    4.5041 00

    4.5156 00

    4.5270 00

    4.5383 00

    4.5494 00

    4.5605 00

    4.5714 00

    4.6245 00

    4.6749 00

    4.7229 00

    4.7685 00

    4.8119 00

    4.8532 00

    Pt Pn

    2.4043-01

    2.3629--01

    2.3223--01

    2.2823--01

    2.2431--01

    2.2045--01

    2.1667--01

    2.1295--01

    2.0929-01

    2.0570--01

    2.0218--01

    1.9871-01

    1.9531-01

    1.9197--01

    1.8869-01

    1.8547--01

    1.8230--01

    1.7919--01

    1.7614-01

    1

    7314--01

    1.7020--01

    1.6731-01

    1.644 7

    E 0

    1

    1.6168--01

    1.5895-01

    1.5626-01

    1.5362--01

    1.5103--01

    1.4848--01

    1.4598--01

    1.4353--01

    1.4112-01

    1.3876--01

    1.2756--01

    1.1733--01

    1.0800-01

    9.9481--02

    9.1698--02

    8.4587--02

    Pt Pt

    1.5006 01

    1.5180 01

    1.5354 01

    1.553