Compressible table flows | Schemes and Mind Maps Aerodynamics

1.4

0.00 1.0000 1.0000 1.0000

∞

1.2000 1.8929 1.5774

0.02 1.0001 1.0003 1.0002 28.942 1.1999 1.8924 1.5771

0.04 1.0003 1.0011 1.0008 14.481 1.1996 1.8908 1.5762

0.06 1.0007 1.0025 1.0018 9.6659 1.1991 1.8882 1.5746

0.08 1.0013 1.0045 1.0032 7.2616 1.1985 1.8845 1.5724

0.10 1.0020 1.0070 1.0050 5.8218 1.1976 1.8797 1.5696

0.12 1.0029 1.0101 1.0072 4.8643 1.1966 1.8740 1.5661

0.14 1.0039 1.0138 1.0098 4.1824 1.1953 1.8672 1.5621

0.16 1.0051 1.0180 1.0128 3.6727 1.1939 1.8594 1.5574

0.18 1.0065 1.0229 1.0163 3.2779 1.1923 1.8506 1.5522

0.20 1.0080 1.0283 1.0201 2.9635 1.1905 1.8409 1.5463

0.22 1.0097 1.0343 1.0244 2.7076 1.1885 1.8302 1.5399

0.24 1.0115 1.0409 1.0290 2.4956 1.1863 1.8185 1.5329

0.26 1.0135 1.0481 1.0341 2.3173 1.1840 1.8060 1.5254

0.28 1.0157 1.0560 1.0397 2.1656 1.1815 1.7926 1.5173

0.30 1.0180 1.0644 1.0456 2.0351 1.1788 1.7783 1.5086

0.32 1.0205 1.0735 1.0520 1.9219 1.1759 1.7633 1.4995

0.34 1.0231 1.0833 1.0588 1.8229 1.1729 1.7474 1.4898

0.36 1.0259 1.0937 1.0661 1.7358 1.1697 1.7308 1.4797

0.38 1.0289 1.1048 1.0738 1.6587 1.1663 1.7134 1.4691

0.40 1.0320 1.1166 1.0819 1.5901 1.1628 1.6953 1.4580

0.42 1.0353 1.1290 1.0905 1.5289 1.1591 1.6766 1.4465

0.44 1.0387 1.1422 1.0996 1.4740 1.1553 1.6573 1.4345

0.46 1.0423 1.1561 1.1092 1.4246 1.1513 1.6373 1.4222

0.48 1.0461 1.1708 1.1192 1.3801 1.1471 1.6168 1.4094

0.50 1.0500 1.1862 1.1297 1.3398 1.1429 1.5958 1.3963

0.52 1.0541 1.2024 1.1407 1.3034 1.1384 1.5743 1.3828

0.54 1.0583 1.2194 1.1522 1.2703 1.1339 1.5523 1.3690

0.56 1.0627 1.2373 1.1643 1.2403 1.1292 1.5299 1.3549

0.58 1.0673 1.2560 1.1768 1.2130 1.1244 1.5072 1.3405

0.60 1.0720 1.2755 1.1898 1.1882 1.1194 1.4841 1.3258

0.62 1.0769 1.2959 1.2034 1.1656 1.1143 1.4607 1.3108

0.64 1.0819 1.3173 1.2176 1.1451 1.1091 1.4370 1.2956

0.66 1.0871 1.3396 1.2322 1.1265 1.1038 1.4131 1.2801

0.68 1.0925 1.3628 1.2475 1.1097 1.0984 1.3890 1.2645

0.70 1.0980 1.3871 1.2633 1.0944 1.0929 1.3647 1.2487

0.72 1.1037 1.4124 1.2797 1.0806 1.0873 1.3402 1.2327

0.74 1.1095 1.4387 1.2967 1.0681 1.0815 1.3157 1.2165

0.76 1.1155 1.4661 1.3143 1.0570 1.0757 1.2911 1.2002

0.78 1.1217 1.4947 1.3325 1.0471 1.0698 1.2665 1.1838

0.80 1.1280 1.5243 1.3514 1.0382 1.0638 1.2418 1.1673

0.82 1.1345 1.5552 1.3709 1.0305 1.0578 1.2172 1.1507

0.84 1.1411 1.5873 1.3910 1.0237 1.0516 1.1925 1.1340

0.86 1.1479 1.6207 1.4118 1.0179 1.0454 1.1680 1.1173

0.88 1.1549 1.6553 1.4333 1.0129 1.0391 1.1436 1.1006

0.90 1.1620 1.6913 1.4555 1.0089 1.0327 1.1192 1.0838

0.92 1.1693 1.7287 1.4784 1.0056 1.0263 1.0950 1.0670

Isentropic Flow for a Gas with γ =

T0/T p0/p ρ0/ρA/A*T/T* p/p* ρ/ρ*

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M

Isentropic Flow for a Gas with γ =

M

Isentropic Flow for a Gas with γ =

M

Isentropic Flow for a Gas with γ =

M

Isentropic Flow for a Gas with γ =

M

Isentropic Flow for a Gas with γ =

0.00 1.0000 1.0000 1.0000 ∞ 1.2000 1.8929 1.
0.02 1.0001 1.0003 1.0002 28.942 1.1999 1.8924 1.
0.04 1.0003 1.0011 1.0008 14.481 1.1996 1.8908 1.
0.06 1.0007 1.0025 1.0018 9.6659 1.1991 1.8882 1.
0.08 1.0013 1.0045 1.0032 7.2616 1.1985 1.8845 1.
0.10 1.0020 1.0070 1.0050 5.8218 1.1976 1.8797 1.
0.12 1.0029 1.0101 1.0072 4.8643 1.1966 1.8740 1.
0.14 1.0039 1.0138 1.0098 4.1824 1.1953 1.8672 1.
0.16 1.0051 1.0180 1.0128 3.6727 1.1939 1.8594 1.
0.18 1.0065 1.0229 1.0163 3.2779 1.1923 1.8506 1.
0.20 1.0080 1.0283 1.0201 2.9635 1.1905 1.8409 1.
0.22 1.0097 1.0343 1.0244 2.7076 1.1885 1.8302 1.
0.24 1.0115 1.0409 1.0290 2.4956 1.1863 1.8185 1.
0.26 1.0135 1.0481 1.0341 2.3173 1.1840 1.8060 1.
0.28 1.0157 1.0560 1.0397 2.1656 1.1815 1.7926 1.
0.30 1.0180 1.0644 1.0456 2.0351 1.1788 1.7783 1.
0.32 1.0205 1.0735 1.0520 1.9219 1.1759 1.7633 1.
0.34 1.0231 1.0833 1.0588 1.8229 1.1729 1.7474 1.
0.36 1.0259 1.0937 1.0661 1.7358 1.1697 1.7308 1.
0.38 1.0289 1.1048 1.0738 1.6587 1.1663 1.7134 1.
0.40 1.0320 1.1166 1.0819 1.5901 1.1628 1.6953 1.
0.42 1.0353 1.1290 1.0905 1.5289 1.1591 1.6766 1.
0.44 1.0387 1.1422 1.0996 1.4740 1.1553 1.6573 1.
0.46 1.0423 1.1561 1.1092 1.4246 1.1513 1.6373 1.
0.48 1.0461 1.1708 1.1192 1.3801 1.1471 1.6168 1.
0.50 1.0500 1.1862 1.1297 1.3398 1.1429 1.5958 1.
0.52 1.0541 1.2024 1.1407 1.3034 1.1384 1.5743 1.
0.54 1.0583 1.2194 1.1522 1.2703 1.1339 1.5523 1.
0.56 1.0627 1.2373 1.1643 1.2403 1.1292 1.5299 1.
0.58 1.0673 1.2560 1.1768 1.2130 1.1244 1.5072 1.
0.60 1.0720 1.2755 1.1898 1.1882 1.1194 1.4841 1.
0.62 1.0769 1.2959 1.2034 1.1656 1.1143 1.4607 1.
0.64 1.0819 1.3173 1.2176 1.1451 1.1091 1.4370 1.
0.66 1.0871 1.3396 1.2322 1.1265 1.1038 1.4131 1.
0.68 1.0925 1.3628 1.2475 1.1097 1.0984 1.3890 1.
0.70 1.0980 1.3871 1.2633 1.0944 1.0929 1.3647 1.
0.72 1.1037 1.4124 1.2797 1.0806 1.0873 1.3402 1.
0.74 1.1095 1.4387 1.2967 1.0681 1.0815 1.3157 1.
0.76 1.1155 1.4661 1.3143 1.0570 1.0757 1.2911 1.
0.78 1.1217 1.4947 1.3325 1.0471 1.0698 1.2665 1.
0.80 1.1280 1.5243 1.3514 1.0382 1.0638 1.2418 1.
0.82 1.1345 1.5552 1.3709 1.0305 1.0578 1.2172 1.
0.84 1.1411 1.5873 1.3910 1.0237 1.0516 1.1925 1.
0.86 1.1479 1.6207 1.4118 1.0179 1.0454 1.1680 1.
0.88 1.1549 1.6553 1.4333 1.0129 1.0391 1.1436 1.
0.90 1.1620 1.6913 1.4555 1.0089 1.0327 1.1192 1.
0.92 1.1693 1.7287 1.4784 1.0056 1.0263 1.0950 1.
0.94 1.1767 1.7675 1.5020 1.0031 1.0198 1.0710 1. T 0 / T p 0 / p ρ 0 / ρ A / A * T / T* p / p* ρ / ρ*
0.96 1.1843 1.8078 1.5264 1.0014 1.0132 1.0471 1.
0.98 1.1921 1.8496 1.5515 1.0003 1.0066 1.0234 1.
1.00 1.2000 1.8929 1.5774 1.0000 1.0000 1.0000 1.
1.02 1.2081 1.9379 1.6041 1.0003 0.99331 0.97679 0.
1.04 1.2163 1.9846 1.6316 1.0013 0.98658 0.95382 0.
1.06 1.2247 2.0330 1.6599 1.0029 0.97982 0.93112 0.
1.08 1.2333 2.0831 1.6891 1.0051 0.97302 0.90870 0.
1.10 1.2420 2.1351 1.7191 1.0079 0.96618 0.88656 0.
1.12 1.2509 2.1890 1.7500 1.0113 0.95932 0.86473 0.
1.14 1.2599 2.2449 1.7818 1.0153 0.95244 0.84321 0.
1.16 1.2691 2.3028 1.8145 1.0198 0.94554 0.82201 0.
1.18 1.2785 2.3628 1.8481 1.0248 0.93861 0.80113 0.
1.20 1.2880 2.4250 1.8827 1.0304 0.93168 0.78060 0.
1.22 1.2977 2.4894 1.9183 1.0366 0.92473 0.76041 0.
1.24 1.3075 2.5560 1.9549 1.0432 0.91777 0.74057 0.
1.26 1.3175 2.6251 1.9925 1.0504 0.91080 0.72108 0.
1.28 1.3277 2.6967 2.0311 1.0581 0.90383 0.70195 0.
1.30 1.3380 2.7707 2.0708 1.0663 0.89686 0.68318 0.
1.32 1.3485 2.8474 2.1116 1.0750 0.88989 0.66478 0.
1.34 1.3591 2.9269 2.1535 1.0842 0.88292 0.64674 0.
1.36 1.3699 3.0091 2.1965 1.0940 0.87596 0.62907 0.
1.38 1.3809 3.0942 2.2407 1.1042 0.86901 0.61177 0.
1.40 1.3920 3.1823 2.2861 1.1149 0.86207 0.59484 0.
1.42 1.4033 3.2734 2.3327 1.1262 0.85514 0.57827 0.
1.44 1.4147 3.3678 2.3805 1.1379 0.84822 0.56207 0.
1.46 1.4263 3.4654 2.4296 1.1501 0.84133 0.54623 0.
1.48 1.4381 3.5665 2.4800 1.1629 0.83445 0.53075 0.
1.50 1.4500 3.6710 2.5317 1.1762 0.82759 0.51564 0.
1.52 1.4621 3.7792 2.5848 1.1899 0.82075 0.50088 0.
1.54 1.4743 3.8911 2.6392 1.2042 0.81393 0.48648 0.
1.56 1.4867 4.0068 2.6951 1.2190 0.80715 0.47242 0.
1.58 1.4993 4.1266 2.7524 1.2344 0.80038 0.45872 0.
1.60 1.5120 4.2504 2.8111 1.2502 0.79365 0.44535 0.
1.62 1.5249 4.3785 2.8714 1.2666 0.78695 0.43232 0.
1.64 1.5379 4.5110 2.9332 1.2836 0.78027 0.41963 0.
1.66 1.5511 4.6479 2.9965 1.3010 0.77363 0.40726 0.
1.68 1.5645 4.7896 3.0614 1.3190 0.76703 0.39522 0.
1.70 1.5780 4.9360 3.1280 1.3376 0.76046 0.38350 0.
1.72 1.5917 5.0874 3.1962 1.3567 0.75392 0.37208 0.
1.74 1.6055 5.2439 3.2662 1.3764 0.74742 0.36098 0.
1.76 1.6195 5.4057 3.3378 1.3967 0.74096 0.35017 0.
1.78 1.6337 5.5729 3.4113 1.4175 0.73454 0.33966 0.
1.80 1.6480 5.7458 3.4865 1.4390 0.72816 0.32945 0.
1.82 1.6625 5.9244 3.5636 1.4610 0.72181 0.31951 0.
1.84 1.6771 6.1091 3.6426 1.4836 0.71551 0.30986 0.
1.86 1.6919 6.2998 3.7235 1.5069 0.70925 0.30047 0.
1.88 1.7069 6.4970 3.8063 1.5308 0.70304 0.29136 0. T 0 / T p 0 / p ρ 0 / ρ A / A * T / T* p / p* ρ / ρ*
1.90 1.7220 6.7006 3.8912 1.5553 0.69686 0.28250 0.
1.92 1.7373 6.9111 3.9781 1.5804 0.69073 0.27390 0.
1.94 1.7527 7.1284 4.0671 1.6062 0.68465 0.26555 0.
1.96 1.7683 7.3530 4.1582 1.6326 0.67861 0.25744 0.
1.98 1.7841 7.5849 4.2514 1.6597 0.67262 0.24957 0.
2.00 1.8000 7.8244 4.3469 1.6875 0.66667 0.24192 0.
2.02 1.8161 8.0718 4.4446 1.7160 0.66076 0.23451 0.
2.04 1.8323 8.3273 4.5447 1.7451 0.65491 0.22732 0.
2.06 1.8487 8.5911 4.6471 1.7750 0.64910 0.22034 0.
2.08 1.8653 8.8635 4.7518 1.8056 0.64334 0.21357 0.
2.10 1.8820 9.1447 4.8590 1.8369 0.63762 0.20700 0.
2.12 1.8989 9.4350 4.9687 1.8690 0.63195 0.20063 0.
2.14 1.9159 9.7347 5.0809 1.9018 0.62633 0.19445 0.
2.16 1.9331 10.044 5.1957 1.9354 0.62076 0.18846 0.
2.18 1.9505 10.363 5.3132 1.9698 0.61523 0.18266 0.
2.20 1.9680 10.693 5.4333 2.0050 0.60976 0.17703 0.
2.22 1.9857 11.033 5.5561 2.0409 0.60433 0.17157 0.
2.24 2.0035 11.384 5.6818 2.0777 0.59895 0.16629 0.
2.26 2.0215 11.746 5.8103 2.1153 0.59361 0.16116 0.
2.28 2.0397 12.119 5.9416 2.1538 0.58833 0.15620 0.
2.30 2.0580 12.504 6.0759 2.1931 0.58309 0.15138 0.
2.32 2.0765 12.902 6.2133 2.2333 0.57790 0.14672 0.
2.34 2.0951 13.312 6.3536 2.2744 0.57276 0.14220 0.
2.36 2.1139 13.734 6.4971 2.3164 0.56767 0.13782 0.
2.38 2.1329 14.170 6.6438 2.3593 0.56262 0.13358 0.
2.40 2.1520 14.620 6.7937 2.4031 0.55762 0.12948 0.
2.42 2.1713 15.084 6.9469 2.4479 0.55267 0.12550 0.
2.44 2.1907 15.562 7.1034 2.4936 0.54777 0.12164 0.
2.46 2.2103 16.054 7.2634 2.5403 0.54291 0.11791 0.
2.48 2.2301 16.562 7.4268 2.5880 0.53810 0.11429 0.
2.50 2.2500 17.086 7.5938 2.6367 0.53333 0.11079 0.
2.52 2.2701 17.626 7.7643 2.6865 0.52862 0.10740 0.
2.54 2.2903 18.182 7.9385 2.7372 0.52394 0.10411 0.
2.56 2.3107 18.755 8.1165 2.7891 0.51932 0.10093 0.
2.58 2.3313 19.346 8.2982 2.8420 0.51474 9.7848E-02 0.
2.60 2.3520 19.954 8.4839 2.8960 0.51020 9.4865E-02 0.
2.62 2.3729 20.581 8.6734 2.9511 0.50571 9.1975E-02 0.
2.64 2.3939 21.227 8.8669 3.0073 0.50127 8.9177E-02 0.
2.66 2.4151 21.892 9.0646 3.0647 0.49687 8.6467E-02 0.
2.68 2.4365 22.577 9.2663 3.1233 0.49251 8.3843E-02 0.
2.70 2.4580 23.283 9.4723 3.1830 0.48820 8.1301E-02 0.
2.72 2.4797 24.010 9.6825 3.2440 0.48393 7.8841E-02 0.
2.74 2.5015 24.758 9.8971 3.3061 0.47971 7.6458E-02 0.
2.76 2.5235 25.528 10.116 3.3695 0.47553 7.4150E-02 0.
2.78 2.5457 26.322 10.340 3.4342 0.47139 7.1915E-02 0.
2.80 2.5680 27.138 10.568 3.5001 0.46729 6.9751E-02 0.
2.82 2.5905 27.979 10.801 3.5674 0.46323 6.7656E-02 0. T 0 / T p 0 / p ρ 0 / ρ A / A * T / T* p / p* ρ / ρ*
2.84 2.6131 28.844 11.038 3.6359 0.45922 6.5626E-02 0.
2.86 2.6359 29.735 11.281 3.7058 0.45525 6.3661E-02 0.
2.88 2.6589 30.651 11.528 3.7771 0.45132 6.1757E-02 0.
2.90 2.6820 31.594 11.780 3.8498 0.44743 5.9914E-02 0.
2.92 2.7053 32.564 12.037 3.9238 0.44358 5.8129E-02 0.
2.94 2.7287 33.563 12.300 3.9993 0.43977 5.6400E-02 0.
2.96 2.7523 34.590 12.567 4.0763 0.43600 5.4725E-02 0.
2.98 2.7761 35.646 12.840 4.1547 0.43226 5.3103E-02 0.
3.00 2.8000 36.733 13.119 4.2346 0.42857 5.1533E-02 0.
3.05 2.8605 39.586 13.839 4.4410 0.41951 4.7818E-02 0.
3.10 2.9220 42.646 14.595 4.6573 0.41068 4.4387E-02 0.
3.15 2.9845 45.925 15.388 4.8838 0.40208 4.1218E-02 0.
3.20 3.0480 49.437 16.219 5.1210 0.39370 3.8290E-02 9.7256E-
3.25 3.1125 53.196 17.091 5.3691 0.38554 3.5584E-02 9.2295E-
3.30 3.1780 57.219 18.005 5.6286 0.37760 3.3082E-02 8.7613E-
3.35 3.2445 61.520 18.961 5.9000 0.36986 3.0769E-02 8.3192E-
3.40 3.3120 66.117 19.963 6.1837 0.36232 2.8630E-02 7.9018E-
3.45 3.3805 71.029 21.011 6.4801 0.35498 2.6650E-02 7.5076E-
3.50 3.4500 76.272 22.108 6.7896 0.34783 2.4818E-02 7.1352E-
3.55 3.5205 81.868 23.255 7.1128 0.34086 2.3122E-02 6.7833E-
3.60 3.5920 87.837 24.453 7.4501 0.33408 2.1550E-02 6.4508E-
3.65 3.6645 94.200 25.706 7.8020 0.32747 2.0095E-02 6.1364E-
3.70 3.7380 100.98 27.015 8.1691 0.32103 1.8745E-02 5.8392E-
3.75 3.8125 108.20 28.381 8.5517 0.31475 1.7494E-02 5.5581E-
3.80 3.8880 115.89 29.807 8.9506 0.30864 1.6334E-02 5.2922E-
3.85 3.9645 124.07 31.295 9.3661 0.30269 1.5257E-02 5.0406E-
3.90 4.0420 132.77 32.847 9.7990 0.29688 1.4258E-02 4.8024E-
3.95 4.1205 142.01 34.465 10.250 0.29123 1.3329E-02 4.5770E-
4.00 4.2000 151.84 36.151 10.719 0.28571 1.2467E-02 4.3634E-
4.05 4.2805 162.27 37.908 11.207 0.28034 1.1666E-02 4.1612E-
4.10 4.3620 173.34 39.739 11.715 0.27510 1.0920E-02 3.9695E-
4.15 4.4445 185.09 41.644 12.243 0.27000 1.0227E-02 3.7879E-
4.20 4.5280 197.55 43.628 12.792 0.26502 9.5821E-03 3.6157E-
4.25 4.6125 210.75 45.692 13.362 0.26016 8.9817E-03 3.4523E-
4.30 4.6980 224.75 47.839 13.955 0.25543 8.4225E-03 3.2974E-
4.35 4.7845 239.57 50.072 14.571 0.25081 7.9014E-03 3.1504E-
4.40 4.8720 255.26 52.392 15.210 0.24631 7.4158E-03 3.0108E-
4.45 4.9605 271.86 54.804 15.873 0.24191 6.9630E-03 2.8783E-
4.50 5.0500 289.41 57.310 16.562 0.23762 6.5406E-03 2.7525E-
4.55 5.1405 307.98 59.912 17.277 0.23344 6.1463E-03 2.6329E-
4.60 5.2320 327.59 62.614 18.018 0.22936 5.7783E-03 2.5193E-
4.65 5.3245 348.32 65.418 18.786 0.22537 5.4345E-03 2.4113E-
4.70 5.4180 370.20 68.328 19.583 0.22148 5.1133E-03 2.3086E-
4.75 5.5125 393.30 71.346 20.408 0.21769 4.8130E-03 2.2110E-
4.80 5.6080 417.66 74.477 21.264 0.21398 4.5322E-03 2.1180E-
4.85 5.7045 443.37 77.722 22.150 0.21036 4.2695E-03 2.0296E-
4.90 5.8020 470.46 81.086 23.067 0.20683 4.0236E-03 1.9454E- T 0 / T p 0 / p ρ 0 / ρ A / A * T / T* p / p* ρ / ρ*
4.95 5.9005 499.01 84.571 24.017 0.20337 3.7934E-03 1.8652E-
5.00 6.0000 529.09 88.182 25.000 0.20000 3.5777E-03 1.7889E-
5.10 6.2020 594.10 95.792 27.070 0.19349 3.1862E-03 1.6467E-
5.20 6.4080 666.08 103.95 29.283 0.18727 2.8419E-03 1.5176E-
5.30 6.6180 745.66 112.67 31.649 0.18132 2.5386E-03 1.4000E-
5.40 6.8320 833.52 122.00 34.175 0.17564 2.2710E-03 1.2930E-
5.50 7.0500 930.38 131.97 36.869 0.17021 2.0346E-03 1.1953E-
5.60 7.2720 1.04E+03 142.60 39.740 0.16502 1.8253E-03 1.1062E-
5.70 7.4980 1.15E+03 153.94 42.797 0.16004 1.6399E-03 1.0247E-
5.80 7.7280 1.28E+03 166.02 46.050 0.15528 1.4754E-03 9.5014E-
5.90 7.9620 1.42E+03 178.88 49.507 0.15072 1.3291E-03 8.8186E-
6.00 8.2000 1.58E+03 192.55 53.180 0.14634 1.1989E-03 8.1925E-
6.10 8.4420 1.75E+03 207.07 57.077 0.14215 1.0829E-03 7.6180E-
6.20 8.6880 1.93E+03 222.48 61.210 0.13812 9.7930E-04 7.0901E-
6.30 8.9380 2.13E+03 238.84 65.590 0.13426 8.8673E-04 6.6047E-
6.40 9.1920 2.35E+03 256.17 70.227 0.13055 8.0389E-04 6.1578E-
6.50 9.4500 2.59E+03 274.52 75.134 0.12698 7.2966E-04 5.7461E-
6.60 9.7120 2.85E+03 293.95 80.323 0.12356 6.6306E-04 5.3664E-
6.70 9.9780 3.14E+03 314.49 85.805 0.12026 6.0323E-04 5.0158E-
6.80 10.248 3.45E+03 336.20 91.594 0.11710 5.4941E-04 4.6920E-
6.90 10.522 3.78E+03 359.13 97.702 0.11405 5.0095E-04 4.3925E-
7.00 10.800 4.14E+03 383.32 104.14 0.11111 4.5725E-04 4.1152E-
7.10 11.082 4.53E+03 408.83 110.93 0.10828 4.1780E-04 3.8584E-
7.20 11.368 4.95E+03 435.72 118.08 0.10556 3.8216E-04 3.6203E-
7.30 11.658 5.41E+03 464.05 125.60 0.10293 3.4991E-04 3.3993E-
7.40 11.952 5.90E+03 493.86 133.52 0.10040 3.2070E-04 3.1941E-
7.50 12.250 6.43E+03 525.22 141.84 9.7959E-02 2.9421E-04 3.0034E-
7.60 12.552 7.01E+03 558.19 150.58 9.5602E-02 2.7017E-04 2.8260E-
7.70 12.858 7.62E+03 592.83 159.77 9.3327E-02 2.4833E-04 2.6608E-
7.80 13.168 8.29E+03 629.22 169.40 9.1130E-02 2.2846E-04 2.5070E-
7.90 13.482 9.00E+03 667.40 179.51 8.9008E-02 2.1038E-04 2.3636E-
8.00 13.800 9.76E+03 707.45 190.11 8.6957E-02 1.9389E-04 2.2297E-
8.10 14.122 1.06E+04 749.45 201.21 8.4974E-02 1.7885E-04 2.1048E-
8.20 14.448 1.15E+04 793.45 212.85 8.3056E-02 1.6512E-04 1.9881E-
8.30 14.778 1.24E+04 839.54 225.02 8.1202E-02 1.5257E-04 1.8789E-
8.40 15.112 1.34E+04 887.78 237.76 7.9407E-02 1.4109E-04 1.7768E-
8.50 15.450 1.45E+04 938.26 251.09 7.7670E-02 1.3058E-04 1.6812E-
8.60 15.792 1.57E+04 991.04 265.01 7.5988E-02 1.2095E-04 1.5917E-
8.70 16.138 1.69E+04 1.05E+03 279.57 7.4359E-02 1.1211E-04 1.5077E-
8.80 16.488 1.82E+04 1.10E+03 294.77 7.2780E-02 1.0400E-04 1.4290E-
8.90 16.842 1.96E+04 1.16E+03 310.63 7.1250E-02 9.6551E-05 1.3551E-
9.00 17.200 2.11E+04 1.23E+03 327.19 6.9767E-02 8.9698E-05 1.2857E-
9.10 17.562 2.27E+04 1.29E+03 344.46 6.8329E-02 8.3392E-05 1.2204E-
9.20 17.928 2.44E+04 1.36E+03 362.46 6.6934E-02 7.7584E-05 1.1591E-
9.30 18.298 2.62E+04 1.43E+03 381.23 6.5581E-02 7.2231E-05 1.1014E-
9.40 18.672 2.81E+04 1.51E+03 400.78 6.4267E-02 6.7292E-05 1.0471E- - 1.
- 9.50 19.050 3.02E+04 1.58E+03 421.13 6.2992E-02 6.2734E-05 9.9590E- T 0 / T p 0 / p ρ 0 / ρ A / A * T / T* p / p* ρ / ρ*
- 9.60 19.432 3.23E+04 1.66E+03 442.32 6.1754E-02 5.8523E-05 9.4767E-
- 9.70 19.818 3.47E+04 1.75E+03 464.37 6.0551E-02 5.4629E-05 9.0220E-
- 9.80 20.208 3.71E+04 1.84E+03 487.30 5.9382E-02 5.1027E-05 8.5930E-
- 9.90 20.602 3.97E+04 1.93E+03 511.15 5.8247E-02 4.7693E-05 8.1880E-
10.00 21.000 4.24E+04 2.02E+03 535.94 5.7143E-02 4.4603E-05 7.8056E-
10.10 21.402 4.54E+04 2.12E+03 561.69 5.6070E-02 4.1739E-05 7.4442E-
10.20 21.808 4.84E+04 2.22E+03 588.44 5.5026E-02 3.9082E-05 7.1025E-
10.30 22.218 5.17E+04 2.33E+03 616.22 5.4010E-02 3.6616E-05 6.7794E-
10.40 22.632 5.51E+04 2.44E+03 645.05 5.3022E-02 3.4324E-05 6.4736E-
10.50 23.050 5.88E+04 2.55E+03 674.96 5.2061E-02 3.2195E-05 6.1841E-
10.60 23.472 6.27E+04 2.67E+03 705.99 5.1125E-02 3.0214E-05 5.9099E-
10.70 23.898 6.67E+04 2.79E+03 738.17 5.0213E-02 2.8371E-05 5.6500E-
10.80 24.328 7.10E+04 2.92E+03 771.53 4.9326E-02 2.6654E-05 5.4036E-
10.90 24.762 7.56E+04 3.05E+03 806.10 4.8461E-02 2.5054E-05 5.1700E-
11.00 25.200 8.03E+04 3.19E+03 841.91 4.7619E-02 2.3563E-05 4.9483E-
11.10 25.642 8.54E+04 3.33E+03 879.00 4.6798E-02 2.2172E-05 4.7378E-
11.20 26.088 9.07E+04 3.48E+03 917.40 4.5998E-02 2.0873E-05 4.5379E-
11.30 26.538 9.63E+04 3.63E+03 957.16 4.5218E-02 1.9661E-05 4.3479E-
11.40 26.992 1.02E+05 3.79E+03 998.29 4.4458E-02 1.8527E-05 4.1674E-
11.50 27.450 1.08E+05 3.95E+03 1.04E+03 4.3716E-02 1.7468E-05 3.9957E-
11.60 27.912 1.15E+05 4.12E+03 1.08E+03 4.2992E-02 1.6477E-05 3.8324E-
11.70 28.378 1.22E+05 4.29E+03 1.13E+03 4.2286E-02 1.5549E-05 3.6770E-
11.80 28.848 1.29E+05 4.47E+03 1.18E+03 4.1597E-02 1.4680E-05 3.5291E-
11.90 29.322 1.37E+05 4.66E+03 1.23E+03 4.0925E-02 1.3866E-05 3.3882E-
12.00 29.800 1.44E+05 4.85E+03 1.28E+03 4.0268E-02 1.3103E-05 3.2540E-
12.10 30.282 1.53E+05 5.05E+03 1.33E+03 3.9628E-02 1.2388E-05 3.1260E-
12.20 30.768 1.62E+05 5.25E+03 1.38E+03 3.9002E-02 1.1716E-05 3.0040E-
12.30 31.258 1.71E+05 5.46E+03 1.44E+03 3.8390E-02 1.1086E-05 2.8877E-
12.40 31.752 1.80E+05 5.68E+03 1.49E+03 3.7793E-02 1.0494E-05 2.7767E-
12.50 32.250 1.90E+05 5.91E+03 1.55E+03 3.7209E-02 9.9376E-06 2.6707E-
12.60 32.752 2.01E+05 6.14E+03 1.61E+03 3.6639E-02 9.4146E-06 2.5696E-
12.70 33.258 2.12E+05 6.38E+03 1.68E+03 3.6082E-02 8.9227E-06 2.4729E-
12.80 33.768 2.24E+05 6.63E+03 1.74E+03 3.5537E-02 8.4599E-06 2.3806E-
12.90 34.282 2.36E+05 6.88E+03 1.81E+03 3.5004E-02 8.0242E-06 2.2924E-
13.00 34.800 2.49E+05 7.14E+03 1.88E+03 3.4483E-02 7.6139E-06 2.2080E-
13.10 35.322 2.62E+05 7.42E+03 1.95E+03 3.3973E-02 7.2273E-06 2.1274E-
13.20 35.848 2.76E+05 7.69E+03 2.02E+03 3.3475E-02 6.8629E-06 2.0502E-
13.30 36.378 2.90E+05 7.98E+03 2.09E+03 3.2987E-02 6.5193E-06 1.9763E-
13.40 36.912 3.06E+05 8.28E+03 2.17E+03 3.2510E-02 6.1951E-06 1.9056E-
13.50 37.450 3.21E+05 8.58E+03 2.25E+03 3.2043E-02 5.8892E-06 1.8379E-
13.60 37.992 3.38E+05 8.90E+03 2.33E+03 3.1586E-02 5.6003E-06 1.7731E-
13.70 38.538 3.55E+05 9.22E+03 2.42E+03 3.1138E-02 5.3275E-06 1.7109E-
13.80 39.088 3.73E+05 9.55E+03 2.50E+03 3.0700E-02 5.0697E-06 1.6514E-
13.90 39.642 3.92E+05 9.89E+03 2.59E+03 3.0271E-02 4.8260E-06 1.5943E-
14.00 40.200 4.12E+05 1.02E+04 2.69E+03 2.9851E-02 4.5956E-06 1.5395E-
14.10 40.762 4.32E+05 1.06E+04 2.78E+03 2.9439E-02 4.3776E-06 1.4870E- - 1.
14.20 41.328 4.54E+05 1.10E+04 2.88E+03 2.9036E-02 4.1714E-06 1.4366E- T 0 / T p 0 / p ρ 0 / ρ A / A * T / T* p / p* ρ / ρ*
14.30 41.898 4.76E+05 1.14E+04 2.98E+03 2.8641E-02 3.9761E-06 1.3883E-
14.40 42.472 4.99E+05 1.18E+04 3.08E+03 2.8254E-02 3.7912E-06 1.3418E-
14.50 43.050 5.23E+05 1.22E+04 3.18E+03 2.7875E-02 3.6160E-06 1.2972E-
14.60 43.632 5.49E+05 1.26E+04 3.29E+03 2.7503E-02 3.4500E-06 1.2544E-
14.70 44.218 5.75E+05 1.30E+04 3.40E+03 2.7138E-02 3.2926E-06 1.2133E-
14.80 44.808 6.02E+05 1.34E+04 3.52E+03 2.6781E-02 3.1433E-06 1.1737E-
14.90 45.402 6.31E+05 1.39E+04 3.63E+03 2.6431E-02 3.0017E-06 1.1357E- - 15.0 46.000 6.60E+05 1.44E+04 3.76E+03 2.6087E-02 2.8674E-06 1.0992E- - 16.0 52.200 1.03E+06 1.97E+04 5.14E+03 2.2989E-02 1.8420E-06 8.0127E- - 17.0 58.800 1.56E+06 2.65E+04 6.92E+03 2.0408E-02 1.2143E-06 5.9499E- - 18.0 65.800 2.31E+06 3.51E+04 9.16E+03 1.8237E-02 8.1911E-07 4.4915E- - 19.0 73.200 3.36E+06 4.58E+04 1.19E+04 1.6393E-02 5.6409E-07 3.4409E- - 20.0 81.000 4.78E+06 5.90E+04 1.54E+04 1.4815E-02 3.9576E-07 2.6714E- - 21.0 89.200 6.70E+06 7.51E+04 1.96E+04 1.3453E-02 2.8240E-07 2.0991E- - 22.0 97.800 9.25E+06 9.46E+04 2.46E+04 1.2270E-02 2.0462E-07 1.6677E- - 23.0 106.80 1.26E+07 1.18E+05 3.07E+04 1.1236E-02 1.5036E-07 1.3382E- - 24.0 116.20 1.69E+07 1.46E+05 3.78E+04 1.0327E-02 1.1192E-07 1.0838E- - 25.0 126.00 2.25E+07 1.78E+05 4.63E+04 9.5238E-03 8.4302E-08 8.8517E- - 26.0 136.20 2.95E+07 2.16E+05 5.62E+04 8.8106E-03 6.4197E-08 7.2864E- - 27.0 146.80 3.83E+07 2.61E+05 6.78E+04 8.1744E-03 4.9385E-08 6.0414E- - 28.0 157.80 4.94E+07 3.13E+05 8.12E+04 7.6046E-03 3.8350E-08 5.0430E- - 29.0 169.20 6.30E+07 3.72E+05 9.67E+04 7.0922E-03 3.0042E-08 4.2360E- - 30.0 181.00 7.98E+07 4.41E+05 1.14E+05 6.6298E-03 2.3728E-08 3.5790E- - 31.0 193.20 1.00E+08 5.19E+05 1.35E+05 6.2112E-03 1.8885E-08 3.0404E- - 32.0 205.80 1.25E+08 6.08E+05 1.58E+05 5.8309E-03 1.5138E-08 2.5962E- - 33.0 218.80 1.55E+08 7.08E+05 1.84E+05 5.4845E-03 1.2217E-08 2.2276E- - 34.0 232.20 1.91E+08 8.22E+05 2.13E+05 5.1680E-03 9.9224E-09 1.9200E- - 35.0 246.00 2.33E+08 9.49E+05 2.46E+05 4.8780E-03 8.1070E-09 1.6619E- - 40.0 321.00 5.93E+08 1.85E+06 4.79E+05 3.7383E-03 3.1942E-09 8.5446E- - 45.0 406.00 1.35E+09 3.32E+06 8.61E+05 2.9557E-03 1.4038E-09 4.7494E- - 50.0 501.00 2.81E+09 5.62E+06 1.46E+06 2.3952E-03 6.7252E-10 2.8078E- - 100 2,001.0 3.58E+11 1.79E+08 4.64E+07 5.9970E-04 5.2816E-12 8.8072E-
- 1000 200,001 3.58E+18 1.79E+13 4.63E+12 6.0000E-06 5.2908E-19 8.8181E-
- Normal Shock in a Gas with γ = 1.
1.00 1.000 1.000 1.000 1.000 1.000 1.893 0.
1.02 0.981 1.013 1.047 1.033 1.000 1.938 0.
1.04 0.962 1.026 1.095 1.067 1.000 1.984 0.
1.05 0.953 1.033 1.120 1.084 1.000 2.008 0.
1.06 0.944 1.039 1.144 1.101 1.000 2.032 0.
1.08 0.928 1.052 1.194 1.135 0.999 2.082 0.
1.10 0.912 1.065 1.245 1.169 0.999 2.133 0.
1.12 0.897 1.078 1.297 1.203 0.998 2.185 0.
1.14 0.882 1.090 1.350 1.238 0.997 2.239 0.
1.16 0.868 1.103 1.403 1.272 0.996 2.294 0.
1.18 0.855 1.115 1.458 1.307 0.995 2.350 0.
1.20 0.842 1.128 1.513 1.342 0.993 2.408 0.
1.22 0.830 1.141 1.570 1.376 0.991 2.466 0.
1.24 0.818 1.153 1.627 1.411 0.988 2.526 0.
1.26 0.807 1.166 1.686 1.446 0.986 2.588 0.
1.28 0.796 1.178 1.745 1.481 0.983 2.650 0.
1.30 0.786 1.191 1.805 1.516 0.979 2.714 0.
1.32 0.776 1.204 1.866 1.551 0.976 2.778 0.
1.34 0.766 1.216 1.928 1.585 0.972 2.844 0.
1.36 0.757 1.229 1.991 1.620 0.968 2.912 0.
1.38 0.748 1.242 2.055 1.655 0.963 2.980 0.
1.40 0.740 1.255 2.120 1.690 0.958 3.049 0.
1.42 0.731 1.268 2.186 1.724 0.953 3.120 0.
1.44 0.723 1.281 2.253 1.759 0.948 3.191 0.
1.46 0.716 1.294 2.320 1.793 0.942 3.264 0.
1.48 0.708 1.307 2.389 1.828 0.936 3.338 0.
1.50 0.701 1.320 2.458 1.862 0.930 3.413 0.
1.52 0.694 1.334 2.529 1.896 0.923 3.489 0.
1.54 0.687 1.347 2.600 1.930 0.917 3.567 0.
1.56 0.681 1.361 2.673 1.964 0.910 3.645 0.
1.58 0.675 1.374 2.746 1.998 0.903 3.724 0.
1.60 0.668 1.388 2.820 2.032 0.895 3.805 0.
1.62 0.663 1.402 2.895 2.065 0.888 3.887 0.
1.64 0.657 1.416 2.971 2.099 0.880 3.969 0.
1.66 0.651 1.430 3.048 2.132 0.872 4.053 0.
1.68 0.646 1.444 3.126 2.165 0.864 4.138 0.
1.70 0.641 1.458 3.205 2.198 0.856 4.224 0.
1.72 0.635 1.473 3.285 2.230 0.847 4.311 0.
1.74 0.631 1.487 3.366 2.263 0.839 4.399 0.
1.76 0.626 1.502 3.447 2.295 0.830 4.488 0.
1.78 0.621 1.517 3.530 2.327 0.822 4.578 0.
1.80 0.617 1.532 3.613 2.359 0.813 4.670 0.
1.82 0.612 1.547 3.698 2.391 0.804 4.762 0.
1.84 0.608 1.562 3.783 2.422 0.795 4.855 0.
1.86 0.604 1.577 3.870 2.454 0.786 4.950 0.
1.88 0.600 1.592 3.957 2.485 0.777 5.045 0.
1.90 0.596 1.608 4.045 2.516 0.767 5.142 0.
1.92 0.592 1.624 4.134 2.546 0.758 5.239 0.
- Normal Shock in a Gas with γ = 1.
1.94 0.588 1.639 4.224 2.577 0.749 5.338 0. M 1 M 2 T 2 / T 1 p 2 / p 1 ρ 2 / ρ 1 p 0 ,2 / p 0 ,1 p 0 ,2 / p 1 Δ s / R
1.96 0.584 1.655 4.315 2.607 0.740 5.438 0.
1.98 0.581 1.671 4.407 2.637 0.730 5.539 0.
2.00 0.577 1.688 4.500 2.667 0.721 5.640 0.
2.02 0.574 1.704 4.594 2.696 0.712 5.743 0.
2.04 0.571 1.720 4.689 2.725 0.702 5.847 0.
2.06 0.567 1.737 4.784 2.755 0.693 5.952 0.
2.08 0.564 1.754 4.881 2.783 0.684 6.058 0.
2.10 0.561 1.770 4.978 2.812 0.674 6.165 0.
2.12 0.558 1.787 5.077 2.840 0.665 6.274 0.
2.14 0.555 1.805 5.176 2.868 0.656 6.383 0.
2.16 0.553 1.822 5.277 2.896 0.646 6.493 0.
2.18 0.550 1.839 5.378 2.924 0.637 6.604 0.
2.20 0.547 1.857 5.480 2.951 0.628 6.716 0.
2.22 0.544 1.875 5.583 2.978 0.619 6.830 0.
2.24 0.542 1.892 5.687 3.005 0.610 6.944 0.
2.26 0.539 1.910 5.792 3.032 0.601 7.060 0.
2.28 0.537 1.929 5.898 3.058 0.592 7.176 0.
2.30 0.534 1.947 6.005 3.085 0.583 7.294 0.
2.32 0.532 1.965 6.113 3.110 0.575 7.412 0.
2.34 0.530 1.984 6.222 3.136 0.566 7.532 0.
2.36 0.527 2.002 6.331 3.162 0.557 7.652 0.
2.38 0.525 2.021 6.442 3.187 0.549 7.774 0.
2.40 0.523 2.040 6.553 3.212 0.540 7.897 0.
2.42 0.521 2.059 6.666 3.237 0.532 8.021 0.
2.44 0.519 2.079 6.779 3.261 0.523 8.145 0.
2.46 0.517 2.098 6.894 3.285 0.515 8.271 0.
2.48 0.515 2.118 7.009 3.310 0.507 8.398 0.
2.50 0.513 2.138 7.125 3.333 0.499 8.526 0.
2.52 0.511 2.157 7.242 3.357 0.491 8.655 0.
2.54 0.509 2.177 7.360 3.380 0.483 8.785 0.
2.56 0.507 2.198 7.479 3.403 0.475 8.916 0.
2.58 0.506 2.218 7.599 3.426 0.468 9.048 0.
2.60 0.504 2.238 7.720 3.449 0.460 9.181 0.
2.62 0.502 2.259 7.842 3.471 0.453 9.315 0.
2.64 0.500 2.280 7.965 3.494 0.445 9.451 0.
2.66 0.499 2.301 8.088 3.516 0.438 9.587 0.
2.68 0.497 2.322 8.213 3.537 0.431 9.724 0.
2.70 0.496 2.343 8.338 3.559 0.424 9.862 0.
2.72 0.494 2.364 8.465 3.580 0.417 10.002 0.
2.74 0.493 2.386 8.592 3.601 0.410 10.142 0.
2.76 0.491 2.407 8.721 3.622 0.403 10.283 0.
2.78 0.490 2.429 8.850 3.643 0.396 10.426 0.
2.80 0.488 2.451 8.980 3.664 0.389 10.569 0.
2.82 0.487 2.473 9.111 3.684 0.383 10.714 0.
2.84 0.485 2.496 9.243 3.704 0.376 10.859 0.
2.86 0.484 2.518 9.376 3.724 0.370 11.006 0.
2.88 0.483 2.540 9.510 3.743 0.364 11.154 1.
- Normal Shock in a Gas with γ = 1.
2.90 0.481 2.563 9.645 3.763 0.358 11.302 1. M 1 M 2 T 2 / T 1 p 2 / p 1 ρ 2 / ρ 1 p 0 ,2 / p 0 ,1 p 0 ,2 / p 1 Δ s / R
2.92 0.480 2.586 9.781 3.782 0.352 11.452 1.
2.94 0.479 2.609 9.918 3.801 0.346 11.603 1.
2.96 0.478 2.632 10.055 3.820 0.340 11.754 1.
2.98 0.476 2.656 10.194 3.839 0.334 11.907 1.
3.00 0.475 2.679 10.333 3.857 0.328 12.061 1.
3.02 0.474 2.703 10.474 3.875 0.323 12.216 1.
3.04 0.473 2.726 10.615 3.893 0.317 12.372 1.
3.06 0.472 2.750 10.758 3.911 0.312 12.529 1.
3.08 0.471 2.774 10.901 3.929 0.306 12.687 1.
3.10 0.470 2.799 11.045 3.947 0.301 12.846 1.
3.12 0.468 2.823 11.190 3.964 0.296 13.006 1.
3.14 0.467 2.848 11.336 3.981 0.291 13.167 1.
3.16 0.466 2.872 11.483 3.998 0.286 13.329 1.
3.18 0.465 2.897 11.631 4.015 0.281 13.492 1.
3.20 0.464 2.922 11.780 4.031 0.276 13.656 1.
3.22 0.463 2.947 11.930 4.048 0.271 13.821 1.
3.24 0.462 2.972 12.081 4.064 0.267 13.987 1.
3.26 0.461 2.998 12.232 4.080 0.262 14.155 1.
3.28 0.461 3.023 12.385 4.096 0.258 14.323 1.
3.30 0.460 3.049 12.538 4.112 0.253 14.492 1.
3.32 0.459 3.075 12.693 4.128 0.249 14.662 1.
3.34 0.458 3.101 12.848 4.143 0.245 14.834 1.
3.36 0.457 3.127 13.005 4.158 0.240 15.006 1.
3.38 0.456 3.154 13.162 4.173 0.236 15.180 1.
3.40 0.455 3.180 13.320 4.188 0.232 15.354 1.
3.42 0.454 3.207 13.479 4.203 0.228 15.530 1.
3.44 0.454 3.234 13.639 4.218 0.224 15.706 1.
3.46 0.453 3.261 13.800 4.232 0.220 15.884 1.
3.48 0.452 3.288 13.962 4.247 0.217 16.062 1.
3.50 0.451 3.315 14.125 4.261 0.213 16.242 1.
3.52 0.450 3.342 14.289 4.275 0.209 16.423 1.
3.54 0.450 3.370 14.454 4.289 0.206 16.604 1.
3.56 0.449 3.398 14.619 4.303 0.202 16.787 1.
3.58 0.448 3.426 14.786 4.316 0.199 16.971 1.
3.60 0.447 3.454 14.953 4.330 0.195 17.156 1.
3.62 0.447 3.482 15.122 4.343 0.192 17.341 1.
3.64 0.446 3.510 15.291 4.356 0.189 17.528 1.
3.66 0.445 3.539 15.462 4.369 0.185 17.716 1.
3.68 0.445 3.567 15.633 4.382 0.182 17.905 1.
3.70 0.444 3.596 15.805 4.395 0.179 18.095 1.
3.72 0.443 3.625 15.978 4.408 0.176 18.286 1.
3.74 0.443 3.654 16.152 4.420 0.173 18.478 1.
3.76 0.442 3.684 16.327 4.432 0.170 18.671 1.
3.78 0.441 3.713 16.503 4.445 0.167 18.865 1.
3.80 0.441 3.743 16.680 4.457 0.164 19.060 1.
3.82 0.440 3.772 16.858 4.469 0.162 19.256 1.
3.84 0.440 3.802 17.037 4.481 0.159 19.454 1. - Normal Shock in a Gas with γ = 1.
3.86 0.439 3.832 17.216 4.492 0.156 19.652 1. M 1 M 2 T 2 / T 1 p 2 / p 1 ρ 2 / ρ 1 p 0 ,2 / p 0 ,1 p 0 ,2 / p 1 Δ s / R
3.88 0.438 3.862 17.397 4.504 0.154 19.851 1.
3.90 0.438 3.893 17.578 4.516 0.151 20.051 1.
3.92 0.437 3.923 17.761 4.527 0.148 20.253 1.
3.94 0.437 3.954 17.944 4.538 0.146 20.455 1.
3.96 0.436 3.985 18.129 4.549 0.144 20.658 1.
3.98 0.436 4.016 18.314 4.560 0.141 20.863 1.
- 4.0 0.435 4.047 18.500 4.571 0.139 21.068 1.
- 4.1 0.432 4.205 19.445 4.624 0.128 22.111 2.
- 4.2 0.430 4.367 20.413 4.675 0.117 23.179 2.
- 4.3 0.428 4.532 21.405 4.723 0.108 24.273 2.
- 4.4 0.426 4.702 22.420 4.768 0.099 25.393 2.
- 4.5 0.424 4.875 23.458 4.812 0.092 26.539 2.
- 4.6 0.422 5.052 24.520 4.853 0.085 27.710 2.
- 4.7 0.420 5.233 25.605 4.893 0.078 28.907 2.
- 4.8 0.418 5.418 26.713 4.930 0.072 30.130 2.
- 4.9 0.417 5.607 27.845 4.966 0.067 31.379 2.
- 5.0 0.415 5.800 29.000 5.000 0.062 32.653 2.
- 5.1 0.414 5.997 30.178 5.033 0.057 33.954 2.
- 5.2 0.413 6.197 31.380 5.064 0.053 35.280 2.
- 5.3 0.411 6.401 32.605 5.093 0.049 36.632 3.
- 5.4 0.410 6.610 33.853 5.122 0.046 38.009 3.
- 5.5 0.409 6.822 35.125 5.149 0.042 39.412 3.
- 5.6 0.408 7.038 36.420 5.175 0.039 40.841 3.
- 5.7 0.407 7.258 37.738 5.200 0.037 42.296 3.
- 5.8 0.406 7.481 39.080 5.224 0.034 43.777 3.
- 5.9 0.405 7.709 40.445 5.246 0.032 45.283 3.
- 6.0 0.404 7.941 41.833 5.268 0.030 46.815 3.
- 6.1 0.403 8.176 43.245 5.289 0.028 48.373 3.
- 6.2 0.403 8.415 44.680 5.309 0.026 49.957 3.
- 6.3 0.402 8.658 46.138 5.329 0.024 51.566 3.
- 6.4 0.401 8.905 47.620 5.347 0.023 53.201 3.
- 6.5 0.400 9.156 49.125 5.365 0.021 54.862 3.
- 6.6 0.400 9.411 50.653 5.382 0.020 56.549 3.
- 6.7 0.399 9.670 52.205 5.399 0.019 58.261 3.
- 6.8 0.398 9.933 53.780 5.415 0.017 59.999 4.
- 6.9 0.398 10.199 55.378 5.430 0.016 61.763 4.
- 7.0 0.397 10.469 57.000 5.444 0.015 63.553 4.
- 7.1 0.397 10.744 58.645 5.459 0.014 65.368 4.
- 7.2 0.396 11.022 60.313 5.472 0.014 67.209 4.
- 7.3 0.396 11.304 62.005 5.485 0.013 69.076 4.
- 7.4 0.395 11.590 63.720 5.498 0.012 70.969 4.
- 7.5 0.395 11.879 65.458 5.510 0.011 72.887 4.
- 7.6 0.394 12.173 67.220 5.522 0.011 74.831 4.
- 7.7 0.394 12.471 69.005 5.533 0.010 76.801 4.
- 7.8 0.394 12.772 70.813 5.544 0.010 78.797 4.
- 7.9 0.393 13.077 72.645 5.555 0.009 80.818 4.
- 8.0 0.393 13.387 74.500 5.565 0.008 82.865 4.
  - Normal Shock in a Gas with γ = 1.
8.1 0.393 13.700 76.378 5.575 0.008 84.938 4. M 1 M 2 T 2 / T 1 p 2 / p 1 ρ 2 / ρ 1 p 0 ,2 / p 0 ,1 p 0 ,2 / p 1 Δ s / R
8.2 0.392 14.017 78.280 5.585 0.008 87.037 4.
8.3 0.392 14.338 80.205 5.594 0.007 89.162 4.
8.4 0.392 14.662 82.153 5.603 0.007 91.312 4.
8.5 0.391 14.991 84.125 5.612 0.006 93.488 5.
8.6 0.391 15.324 86.120 5.620 0.006 95.689 5.
8.7 0.391 15.660 88.138 5.628 0.006 97.917 5.
8.8 0.390 16.000 90.180 5.636 0.006 100.170 5.
8.9 0.390 16.345 92.245 5.644 0.005 102.449 5.
9.0 0.390 16.693 94.333 5.651 0.005 104.754 5.
9.1 0.390 17.045 96.445 5.658 0.005 107.084 5.
9.2 0.389 17.401 98.580 5.665 0.004 109.440 5.
9.3 0.389 17.760 ### 5.672 0.004 111.822 5.
9.4 0.389 18.124 ### 5.679 0.004 114.230 5.
9.5 0.389 18.492 ### 5.685 0.004 116.663 5.
9.6 0.388 18.863 ### 5.691 0.004 119.123 5.
9.7 0.388 19.238 ### 5.697 0.004 121.608 5.
9.8 0.388 19.617 ### 5.703 0.003 124.118 5.
9.9 0.388 20.001 ### 5.709 0.003 126.655 5.
- 10 0.388 20.388 ### 5.714 0.003 129.217 5.
- 11 0.386 24.471 ### 5.762 0.002 156.256 6.
- 12 0.385 28.943 ### 5.799 0.001 185.869 6.
- 13 0.384 33.805 ### 5.828 0.001 218.058 7.
- 14 0.383 39.055 ### 5.851 0.001 252.822 7.
- 15 0.382 44.694 ### 5.870 0.000 290.161 7.
- 16 0.382 50.722 ### 5.885 0.000 330.076 8.
- 17 0.381 57.138 ### 5.898 0.000 372.565 8.
- 18 0.381 63.944 ### 5.909 0.000 417.630 8.
- 19 0.381 71.139 ### 5.918 0.000 465.269 8.
- 20 0.380 78.722 ### 5.926 0.000 515.484 9.
- 21 0.380 86.694 ### 5.933 0.000 568.274 9.
- 22 0.380 95.055 ### 5.939 0.000 623.639 9.
- 23 0.380 103.805 ### 5.944 0.000 681.579 9.
- 24 0.380 112.944 ### 5.948 0.000 742.094 10.
- 25 0.380 122.472 ### 5.952 0.000 805.185 10.
- 30 0.379 175.944 ### 5.967 0.000 ### 11.
- 35 0.379 239.139 ### 5.976 0.000 ### 11.
- 40 0.379 312.055 ### 5.981 0.000 ### 12.
- 45 0.378 394.694 ### 5.985 0.000 ### 13.
- 50 0.378 487.056 ### 5.988 0.000 ### 13.
Prandtl-Meyer Function for a Gas with γ = 1.
- 1.0 0.0000 90.000 6.0 84.955 9.5941 12.0 106.88 4. M M M
- 1.1 1.3362 65.380 6.1 85.635 9.4353 12.5 107.80 4.
- 1.2 3.5582 56.443 6.2 86.295 9.2818 13.0 108.65 4.
- 1.3 6.1703 50.285 6.3 86.937 9.1332 13.5 109.44 4.
- 1.4 8.9870 45.585 6.4 87.561 8.9893 14.0 110.18 4.
- 1.5 11.905 41.810 6.5 88.168 8.8499 14.5 110.87 3.
- 1.6 14.860 38.682 6.6 88.759 8.7147 15.0 111.51 3.
- 1.7 17.810 36.032 6.7 89.335 8.5837 15.5 112.11 3.
- 1.8 20.725 33.749 6.8 89.895 8.4565 16.0 112.68 3.
- 1.9 23.586 31.757 6.9 90.441 8.3331 16.5 113.21 3.
- 2.0 26.380 30.000 7.0 90.973 8.2132 17.0 113.71 3.
- 2.1 29.097 28.437 7.1 91.491 8.0967 17.5 114.18 3.
- 2.2 31.732 27.036 7.2 91.997 7.9836 18.0 114.63 3.
- 2.3 34.283 25.771 7.3 92.490 7.8735 18.5 115.05 3.
- 2.4 36.747 24.624 7.4 92.970 7.7664 19.0 115.45 3.
- 2.5 39.124 23.578 7.5 93.440 7.6623 19.5 115.83 2.
- 2.6 41.415 22.620 7.6 93.898 7.5608 20.0 116.20 2.
- 2.7 43.621 21.738 7.7 94.345 7.4621 20.5 116.54 2.
- 2.8 45.746 20.925 7.8 94.781 7.3659 21.0 116.87 2.
- 2.9 47.790 20.171 7.9 95.208 7.2721 21.5 117.18 2.
- 3.0 49.757 19.471 8.0 95.625 7.1808 22.0 117.48 2.
- 3.1 51.650 18.819 8.1 96.032 7.0916 22.5 117.77 2.
- 3.2 53.470 18.210 8.2 96.430 7.0047 23.0 118.04 2.
- 3.3 55.222 17.640 8.3 96.819 6.9199 23.5 118.30 2.
- 3.4 56.908 17.105 8.4 97.200 6.8371 24.0 118.56 2.
- 3.5 58.530 16.602 8.5 97.572 6.7563 24.5 118.80 2.
- 3.6 60.091 16.128 8.6 97.936 6.6774 25.0 119.03 2.
- 3.7 61.595 15.680 8.7 98.293 6.6003 26.0 119.47 2.
- 3.8 63.044 15.258 8.8 98.642 6.5250 27.0 119.87 2.
- 3.9 64.440 14.857 8.9 98.984 6.4514 28.0 120.25 2.
- 4.0 65.785 14.478 9.0 99.318 6.3794 29.0 120.60 1.
- 4.1 67.082 14.117 9.1 99.646 6.3090 30.0 120.92 1.
- 4.2 68.333 13.774 9.2 99.967 6.2401 31.0 121.23 1.
- 4.3 69.541 13.448 9.3 100.28 6.1728 32.0 121.52 1.
- 4.4 70.706 13.137 9.4 100.59 6.1069 33.0 121.79 1.
- 4.5 71.832 12.840 9.5 100.89 6.0423 34.0 122.04 1.
- 4.6 72.919 12.556 9.6 101.19 5.9792 35.0 122.28 1.
- 4.7 73.970 12.284 9.7 101.48 5.9173 36.0 122.51 1.
- 4.8 74.986 12.025 9.8 101.76 5.8567 37.0 122.72 1.
- 4.9 75.969 11.776 9.9 102.04 5.7973 38.0 122.92 1.
- 5.0 76.920 11.537 10.0 102.32 5.7392 39.0 123.12 1.
- 5.1 77.841 11.308 10.2 102.85 5.6263 40.0 123.30 1.
- 5.2 78.732 11.087 10.4 103.36 5.5177 50.0 124.73 1.
- 5.3 79.596 10.876 10.6 103.86 5.4133 55.0 125.25 1.
- 5.4 80.433 10.672 10.8 104.33 5.3128 60.0 125.68 0.
- 5.5 81.245 10.476 11.0 104.80 5.2159 70.0 126.36 0.
- 5.6 82.032 10.287 11.2 105.24 5.1225 80.0 126.87 0.
- 5.7 82.796 10.104 11.4 105.67 5.0324 90.0 127.27 0.
- 5.8 83.537 9.9282 11.6 106.09 4.9454 100.0 127.59 0.
- 5.9 84.256 9.7583 11.8 106.49 4.8614 110.0 127.85 0.

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Isentropic Flow for a Gas with γ =