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Normal Shock Waves
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Normal Shock Waves Equations: |
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M1 |
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p2 / p1 |
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pt2/pt1 |
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r2 / r1 |
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T2 / T1 |
|
M2 |
|
1.00 |
|
1.0000 |
|
1.0000 |
|
1.0000 |
|
1.0000 |
|
1.00 |
|
1.01 |
|
1.0235 |
|
1.0000 |
|
1.0167 |
|
1.0066 |
|
0.99 |
|
1.02 |
|
1.0471 |
|
1.0000 |
|
1.0334 |
|
1.0132 |
|
0.98 |
|
1.03 |
|
1.0711 |
|
1.0000 |
|
1.0502 |
|
1.0198 |
|
0.97 |
|
1.04 |
|
1.0952 |
|
0.9999 |
|
1.0671 |
|
1.0263 |
|
0.96 |
|
1.05 |
|
1.1196 |
|
0.9999 |
|
1.0840 |
|
1.0328 |
|
0.95 |
|
1.06 |
|
1.1442 |
|
0.9998 |
|
1.1009 |
|
1.0393 |
|
0.94 |
|
1.07 |
|
1.1691 |
|
0.9996 |
|
1.1179 |
|
1.0458 |
|
0.94 |
|
1.08 |
|
1.1941 |
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0.9994 |
|
1.1349 |
|
1.0522 |
|
0.93 |
|
1.09 |
|
1.2195 |
|
0.9992 |
|
1.1520 |
|
1.0586 |
|
0.92 |
|
1.10 |
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1.2450 |
|
0.9989 |
|
1.1691 |
|
1.0649 |
|
0.91 |
|
1.11 |
|
1.2708 |
|
0.9986 |
|
1.1862 |
|
1.0713 |
|
0.90 |
|
1.12 |
|
1.2968 |
|
0.9982 |
|
1.2034 |
|
1.0776 |
|
0.90 |
|
1.13 |
|
1.3231 |
|
0.9978 |
|
1.2206 |
|
1.0840 |
|
0.89 |
|
1.14 |
|
1.3495 |
|
0.9973 |
|
1.2378 |
|
1.0903 |
|
0.88 |
|
1.15 |
|
1.3763 |
|
0.9967 |
|
1.2550 |
|
1.0966 |
|
0.88 |
|
1.16 |
|
1.4032 |
|
0.9961 |
|
1.2723 |
|
1.1029 |
|
0.87 |
|
1.17 |
|
1.4304 |
|
0.9953 |
|
1.2896 |
|
1.1092 |
|
0.86 |
|
1.18 |
|
1.4578 |
|
0.9946 |
|
1.3069 |
|
1.1154 |
|
0.85 |
|
1.19 |
|
1.4855 |
|
0.9937 |
|
1.3243 |
|
1.1217 |
|
0.85 |
|
1.20 |
|
1.5133 |
|
0.9928 |
|
1.3416 |
|
1.1280 |
|
0.84 |
| |
|
1.21 |
|
1.5415 |
|
0.9918 |
|
1.3590 |
|
1.1343 |
|
0.84 |
|
1.22 |
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1.5698 |
|
0.9907 |
|
1.3764 |
|
1.1405 |
|
0.83 |
|
1.23 |
|
1.5984 |
|
0.9896 |
|
1.3938 |
|
1.1468 |
|
0.82 |
|
1.24 |
|
1.6272 |
|
0.9884 |
|
1.4112 |
|
1.1531 |
|
0.82 |
|
1.25 |
|
1.6563 |
|
0.9871 |
|
1.4286 |
|
1.1594 |
|
0.81 |
|
1.26 |
|
1.6855 |
|
0.9857 |
|
1.4460 |
|
1.1657 |
|
0.81 |
|
1.27 |
|
1.7151 |
|
0.9842 |
|
1.4634 |
|
1.1720 |
|
0.80 |
|
1.28 |
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1.7448 |
|
0.9827 |
|
1.4808 |
|
1.1783 |
|
0.80 |
|
1.29 |
|
1.7748 |
|
0.9811 |
|
1.4983 |
|
1.1846 |
|
0.79 |
|
1.30 |
|
1.8050 |
|
0.9794 |
|
1.5157 |
|
1.1909 |
|
0.79 |
|
1.31 |
|
1.8355 |
|
0.9776 |
|
1.5331 |
|
1.1972 |
|
0.78 |
|
1.32 |
|
1.8661 |
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0.9758 |
|
1.5505 |
|
1.2035 |
|
0.78 |
|
1.33 |
|
1.8971 |
|
0.9738 |
|
1.5680 |
|
1.2099 |
|
0.77 |
|
1.34 |
|
1.9282 |
|
0.9718 |
|
1.5854 |
|
1.2162 |
|
0.77 |
|
1.35 |
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1.9596 |
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0.9697 |
|
1.6028 |
|
1.2226 |
|
0.76 |
|
1.36 |
|
1.9912 |
|
0.9676 |
|
1.6202 |
|
1.2290 |
|
0.76 |
|
1.37 |
|
2.0231 |
|
0.9653 |
|
1.6376 |
|
1.2354 |
|
0.75 |
|
1.38 |
|
2.0551 |
|
0.9630 |
|
1.6549 |
|
1.2418 |
|
0.75 |
|
1.39 |
|
2.0875 |
|
0.9607 |
|
1.6723 |
|
1.2482 |
|
0.74 |
|
1.40 |
|
2.1200 |
|
0.9582 |
|
1.6897 |
|
1.2547 |
|
0.74 |
| |
|
1.41 |
|
2.1528 |
|
0.9557 |
|
1.7070 |
|
1.2612 |
|
0.74 |
|
1.42 |
|
2.1858 |
|
0.9531 |
|
1.7243 |
|
1.2676 |
|
0.73 |
|
1.43 |
|
2.2191 |
|
0.9504 |
|
1.7416 |
|
1.2741 |
|
0.73 |
|
1.44 |
|
2.2525 |
|
0.9476 |
|
1.7589 |
|
1.2807 |
|
0.72 |
|
1.45 |
|
2.2863 |
|
0.9448 |
|
1.7761 |
|
1.2872 |
|
0.72 |
|
1.46 |
|
2.3202 |
|
0.9420 |
|
1.7934 |
|
1.2938 |
|
0.72 |
|
1.47 |
|
2.3544 |
|
0.9390 |
|
1.8106 |
|
1.3003 |
|
0.71 |
|
1.48 |
|
2.3888 |
|
0.9360 |
|
1.8278 |
|
1.3069 |
|
0.71 |
|
1.49 |
|
2.4235 |
|
0.9329 |
|
1.8449 |
|
1.3136 |
|
0.70 |
|
1.50 |
|
2.4583 |
|
0.9298 |
|
1.8621 |
|
1.3202 |
|
0.70 |
|
1.51 |
|
2.4935 |
|
0.9266 |
|
1.8792 |
|
1.3269 |
|
0.70 |
|
1.52 |
|
2.5288 |
|
0.9233 |
|
1.8963 |
|
1.3336 |
|
0.69 |
|
1.53 |
|
2.5644 |
|
0.9200 |
|
1.9133 |
|
1.3403 |
|
0.69 |
|
1.54 |
|
2.6002 |
|
0.9166 |
|
1.9303 |
|
1.3470 |
|
0.69 |
|
1.55 |
|
2.6363 |
|
0.9132 |
|
1.9473 |
|
1.3538 |
|
0.68 |
|
1.56 |
|
2.6725 |
|
0.9097 |
|
1.9643 |
|
1.3606 |
|
0.68 |
|
1.57 |
|
2.7091 |
|
0.9062 |
|
1.9812 |
|
1.3674 |
|
0.68 |
|
1.58 |
|
2.7458 |
|
0.9026 |
|
1.9981 |
|
1.3742 |
|
0.67 |
|
1.59 |
|
2.7828 |
|
0.8989 |
|
2.0149 |
|
1.3811 |
|
0.67 |
|
1.60 |
|
2.8200 |
|
0.8952 |
|
2.0317 |
|
1.3880 |
|
0.67 |
| |
|
1.61 |
|
2.8575 |
|
0.8915 |
|
2.0485 |
|
1.3949 |
|
0.67 |
|
1.62 |
|
2.8951 |
|
0.8877 |
|
2.0653 |
|
1.4018 |
|
0.66 |
|
1.63 |
|
2.9331 |
|
0.8838 |
|
2.0820 |
|
1.4088 |
|
0.66 |
|
1.64 |
|
2.9712 |
|
0.8799 |
|
2.0986 |
|
1.4158 |
|
0.66 |
|
1.65 |
|
3.0096 |
|
0.8760 |
|
2.1152 |
|
1.4228 |
|
0.65 |
|
1.66 |
|
3.0482 |
|
0.8720 |
|
2.1318 |
|
1.4299 |
|
0.65 |
|
1.67 |
|
3.0871 |
|
0.8680 |
|
2.1484 |
|
1.4369 |
|
0.65 |
|
1.68 |
|
3.1261 |
|
0.8639 |
|
2.1649 |
|
1.4440 |
|
0.65 |
|
1.69 |
|
3.1655 |
|
0.8599 |
|
2.1813 |
|
1.4512 |
|
0.64 |
|
1.70 |
|
3.2050 |
|
0.8557 |
|
2.1977 |
|
1.4583 |
|
0.64 |
|
1.71 |
|
3.2448 |
|
0.8516 |
|
2.2141 |
|
1.4655 |
|
0.64 |
|
1.72 |
|
3.2848 |
|
0.8474 |
|
2.2304 |
|
1.4727 |
|
0.64 |
|
1.73 |
|
3.3251 |
|
0.8431 |
|
2.2467 |
|
1.4800 |
|
0.63 |
|
1.74 |
|
3.3655 |
|
0.8389 |
|
2.2629 |
|
1.4873 |
|
0.63 |
|
1.75 |
|
3.4063 |
|
0.8346 |
|
2.2791 |
|
1.4946 |
|
0.63 |
|
1.76 |
|
3.4472 |
|
0.8302 |
|
2.2952 |
|
1.5019 |
|
0.63 |
|
1.77 |
|
3.4884 |
|
0.8259 |
|
2.3113 |
|
1.5093 |
|
0.62 |
|
1.78 |
|
3.5298 |
|
0.8215 |
|
2.3273 |
|
1.5167 |
|
0.62 |
|
1.79 |
|
3.5715 |
|
0.8171 |
|
2.3433 |
|
1.5241 |
|
0.62 |
|
1.80 |
|
3.6133 |
|
0.8127 |
|
2.3592 |
|
1.5316 |
|
0.62 |
| |
|
1.81 |
|
3.6555 |
|
0.8082 |
|
2.3751 |
|
1.5391 |
|
0.61 |
|
1.82 |
|
3.6978 |
|
0.8038 |
|
2.3909 |
|
1.5466 |
|
0.61 |
|
1.83 |
|
3.7404 |
|
0.7993 |
|
2.4067 |
|
1.5541 |
|
0.61 |
|
1.84 |
|
3.7832 |
|
0.7948 |
|
2.4224 |
|
1.5617 |
|
0.61 |
|
1.85 |
|
3.8263 |
|
0.7902 |
|
2.4381 |
|
1.5693 |
|
0.61 |
|
1.86 |
|
3.8695 |
|
0.7857 |
|
2.4537 |
|
1.5770 |
|
0.60 |
|
1.87 |
|
3.9131 |
|
0.7811 |
|
2.4693 |
|
1.5847 |
|
0.60 |
|
1.88 |
|
3.9568 |
|
0.7765 |
|
2.4848 |
|
1.5924 |
|
0.60 |
|
1.89 |
|
4.0008 |
|
0.7720 |
|
2.5003 |
|
1.6001 |
|
0.60 |
|
1.90 |
|
4.0450 |
|
0.7674 |
|
2.5157 |
|
1.6079 |
|
0.60 |
|
1.91 |
|
4.0895 |
|
0.7627 |
|
2.5310 |
|
1.6157 |
|
0.59 |
|
1.92 |
|
4.1341 |
|
0.7581 |
|
2.5463 |
|
1.6236 |
|
0.59 |
|
1.93 |
|
4.1791 |
|
0.7535 |
|
2.5616 |
|
1.6314 |
|
0.59 |
|
1.94 |
|
4.2242 |
|
0.7488 |
|
2.5767 |
|
1.6394 |
|
0.59 |
|
1.95 |
|
4.2696 |
|
0.7442 |
|
2.5919 |
|
1.6473 |
|
0.59 |
|
1.96 |
|
4.3152 |
|
0.7395 |
|
2.6069 |
|
1.6553 |
|
0.58 |
|
1.97 |
|
4.3611 |
|
0.7349 |
|
2.6220 |
|
1.6633 |
|
0.58 |
|
1.98 |
|
4.4071 |
|
0.7302 |
|
2.6369 |
|
1.6713 |
|
0.58 |
|
1.99 |
|
4.4535 |
|
0.7255 |
|
2.6518 |
|
1.6794 |
|
0.58 | |
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