compressible flow table

819

Ma p/p0 �/�0 T/T0 A/A*

0.00 1.0000 1.0000 1.0000

0.05 0.9983 0.9988 0.9995 11.59140.10 0.9930 0.9950 0.9980 5.82180.15 0.9844 0.9888 0.9955 3.91030.20 0.9725 0.9803 0.9921 2.96350.25 0.9575 0.9694 0.9877 2.40270.30 0.9395 0.9564 0.9823 2.03510.35 0.9188 0.9413 0.9761 1.77800.40 0.8956 0.9243 0.9690 1.59010.45 0.8703 0.9055 0.9611 1.44870.50 0.8430 0.8852 0.9524 1.33980.55 0.8142 0.8634 0.9430 1.25490.60 0.7840 0.8405 0.9328 1.18820.65 0.7528 0.8164 0.9221 1.13560.70 0.7209 0.7916 0.9107 1.09440.75 0.6886 0.7660 0.8989 1.06240.80 0.6560 0.7400 0.8865 1.03820.85 0.6235 0.7136 0.8737 1.02070.90 0.5913 0.6870 0.8606 1.00890.95 0.5595 0.6604 0.8471 1.00211.00 0.5283 0.6339 0.8333 1.00001.05 0.4979 0.6077 0.8193 1.00201.10 0.4684 0.5817 0.8052 1.00791.15 0.4398 0.5562 0.7908 1.01751.20 0.4124 0.5311 0.7764 1.03041.25 0.3861 0.5067 0.7619 1.04681.30 0.3609 0.4829 0.7474 1.06631.35 0.3370 0.4598 0.7329 1.08901.40 0.3142 0.4374 0.7184 1.11491.45 0.2927 0.4158 0.7040 1.14401.50 0.2724 0.3950 0.6897 1.17621.55 0.2533 0.3750 0.6754 1.21161.60 0.2353 0.3557 0.6614 1.25021.65 0.2184 0.3373 0.6475 1.29221.70 0.2026 0.3197 0.6337 1.3376

Appendix BCompressible Flow Tables

Ma p/p0 �/�0 T/T0 A/A*

1.75 0.1878 0.3029 0.6202 1.38651.80 0.1740 0.2868 0.6068 1.43901.85 0.1612 0.2715 0.5936 1.49521.90 0.1492 0.2570 0.5807 1.55531.95 0.1381 0.2432 0.5680 1.61932.00 0.1278 0.2300 0.5556 1.68752.05 0.1182 0.2176 0.5433 1.76002.10 0.1094 0.2058 0.5313 1.83692.15 0.1011 0.1946 0.5196 1.91852.20 0.0935 0.1841 0.5081 2.00502.25 0.0865 0.1740 0.4969 2.09642.30 0.0800 0.1646 0.4859 2.19312.35 0.0740 0.1556 0.4752 2.29532.40 0.0684 0.1472 0.4647 2.40312.45 0.0633 0.1392 0.4544 2.51682.50 0.0585 0.1317 0.4444 2.63672.55 0.0542 0.1246 0.4347 2.76302.60 0.0501 0.1179 0.4252 2.89602.65 0.0464 0.1115 0.4159 3.03592.70 0.0430 0.1056 0.4068 3.18302.75 0.0398 0.0999 0.3980 3.33772.80 0.0368 0.0946 0.3894 3.50012.85 0.0341 0.0896 0.3810 3.67072.90 0.0317 0.0849 0.3729 3.84982.95 0.0293 0.0804 0.3649 4.03763.00 0.0272 0.0762 0.3571 4.23463.05 0.0253 0.0723 0.3496 4.44103.10 0.0234 0.0685 0.3422 4.65733.15 0.0218 0.0650 0.3351 4.88383.20 0.0202 0.0617 0.3281 5.12103.25 0.0188 0.0585 0.3213 5.36913.30 0.0175 0.0555 0.3147 5.62863.35 0.0163 0.0527 0.3082 5.90003.40 0.0151 0.0501 0.3019 6.18373.45 0.0141 0.0476 0.2958 6.4801

Table B.1

Isentropic Flowof a Perfect Gas,k � 1.4

whi38447_app_814-843.qxd 9/12/06 5:05 PM Page 819CONFIRMING PAGES

820 Appendix B

Ma p/p0 �/�0 T/T0 A/A*

3.45 0.0141 0.0476 0.2958 6.48013.50 0.0131 0.0452 0.2899 6.78963.55 0.0122 0.0430 0.2841 7.11283.60 0.0114 0.0409 0.2784 7.45013.65 0.0106 0.0389 0.2729 7.80203.70 0.0099 0.0370 0.2675 8.1691

Ma p/p0 �/�0 T/T0 A/A*

3.75 0.0092 0.0352 0.2623 8.55173.80 0.0086 0.0335 0.2572 8.95063.85 0.0081 0.0320 0.2522 9.36613.90 0.0075 0.0304 0.2474 9.79903.95 0.0070 0.0290 0.2427 10.24964.00 0.0066 0.0277 0.2381 10.7188

Table B.1

(Concluded)Isentropic Flow ofa Perfect Gas,k � 1.4

Table B.2 Normal Shock Relationsfor a Perfect Gas, k � 1.4

Man1 Man2 p2 /p1 V1/V2 � �2 /�1 T2 /T1 p02 /p01 A*2/A*1

1.00 1.0000 1.0000 1.0000 1.0000 1.0000 1.00001.05 0.9531 1.1196 1.0840 1.0328 0.9999 1.00011.10 0.9118 1.2450 1.1691 1.0649 0.9989 1.00111.15 0.8750 1.3763 1.2550 1.0966 0.9967 1.00331.20 0.8422 1.5133 1.3416 1.1280 0.9928 1.00731.25 0.8126 1.6563 1.4286 1.1594 0.9871 1.01311.30 0.7860 1.8050 1.5157 1.1909 0.9794 1.02111.35 0.7618 1.9596 1.6028 1.2226 0.9697 1.03121.40 0.7397 2.1200 1.6897 1.2547 0.9582 1.04361.45 0.7196 2.2863 1.7761 1.2872 0.9448 1.05841.50 0.7011 2.4583 1.8621 1.3202 0.9298 1.07551.55 0.6841 2.6363 1.9473 1.3538 0.9132 1.09511.60 0.6684 2.8200 2.0317 1.3880 0.8952 1.11711.65 0.6540 3.0096 2.1152 1.4228 0.8760 1.14161.70 0.6405 3.2050 2.1977 1.4583 0.8557 1.16861.75 0.6281 3.4063 2.2791 1.4946 0.8346 1.19821.80 0.6165 3.6133 2.3592 1.5316 0.8127 1.23051.85 0.6057 3.8263 2.4381 1.5693 0.7902 1.26551.90 0.5956 4.0450 2.5157 1.6079 0.7674 1.30321.95 0.5862 4.2696 2.5919 1.6473 0.7442 1.34372.00 0.5774 4.5000 2.6667 1.6875 0.7209 1.38722.05 0.5691 4.7363 2.7400 1.7285 0.6975 1.43372.10 0.5613 4.9783 2.8119 1.7705 0.6742 1.48322.15 0.5540 5.2263 2.8823 1.8132 0.6511 1.53602.20 0.5471 5.4800 2.9512 1.8569 0.6281 1.59202.25 0.5406 5.7396 3.0186 1.9014 0.6055 1.65142.30 0.5344 6.0050 3.0845 1.9468 0.5833 1.71442.35 0.5286 6.2763 3.1490 1.9931 0.5615 1.78102.40 0.5231 6.5533 3.2119 2.0403 0.5401 1.85142.45 0.5179 6.8363 3.2733 2.0885 0.5193 1.92562.50 0.5130 7.1250 3.3333 2.1375 0.4990 2.00392.55 0.5083 7.4196 3.3919 2.1875 0.4793 2.08652.60 0.5039 7.7200 3.4490 2.2383 0.4601 2.17332.65 0.4996 8.0262 3.5047 2.2902 0.4416 2.26472.70 0.4956 8.3383 3.5590 2.3429 0.4236 2.36082.75 0.4918 8.6562 3.6119 2.3966 0.4062 2.46172.80 0.4882 8.9800 3.6636 2.4512 0.3895 2.56762.85 0.4847 9.3096 3.7139 2.5067 0.3733 2.67882.90 0.4814 9.6450 3.7629 2.5632 0.3577 2.79542.95 0.4782 9.9862 3.8106 2.6206 0.3428 2.91763.00 0.4752 10.3333 3.8571 2.6790 0.3283 3.0456


Compressible Flow Tables 821

Table B.2 (Concluded) NormalShock Relations for a Perfect Gas,k � 1.4

Man1 Man2 p2 /p1 V1/V2 � �2 /�1 T2 /T1 p02 /p01 A*2/A*1

3.00 0.4752 10.3333 3.8571 2.6790 0.3283 3.04563.05 0.4723 10.6863 3.9025 2.7383 0.3145 3.17963.10 0.4695 11.0450 3.9466 2.7986 0.3012 3.31993.15 0.4669 11.4096 3.9896 2.8598 0.2885 3.46673.20 0.4643 11.7800 4.0315 2.9220 0.2762 3.62023.25 0.4619 12.1563 4.0723 2.9851 0.2645 3.78063.30 0.4596 12.5383 4.1120 3.0492 0.2533 3.94833.35 0.4573 12.9263 4.1507 3.1142 0.2425 4.12343.40 0.4552 13.3200 4.1884 3.1802 0.2322 4.30623.45 0.4531 13.7196 4.2251 3.2472 0.2224 4.49693.50 0.4512 14.1250 4.2609 3.3151 0.2129 4.69603.55 0.4492 14.5363 4.2957 3.3839 0.2039 4.90363.60 0.4474 14.9533 4.3296 3.4537 0.1953 5.12003.65 0.4456 15.3763 4.3627 3.5245 0.1871 5.34563.70 0.4439 15.8050 4.3949 3.5962 0.1792 5.58063.75 0.4423 16.2396 4.4262 3.6689 0.1717 5.82533.80 0.4407 16.6800 4.4568 3.7426 0.1645 6.08013.85 0.4392 17.1263 4.4866 3.8172 0.1576 6.34543.90 0.4377 17.5783 4.5156 3.8928 0.1510 6.62133.95 0.4363 18.0363 4.5439 3.9694 0.1448 6.90844.00 0.4350 18.5000 4.5714 4.0469 0.1388 7.20694.05 0.4336 18.9696 4.5983 4.1254 0.1330 7.51724.10 0.4324 19.4450 4.6245 4.2048 0.1276 7.83974.15 0.4311 19.9263 4.6500 4.2852 0.1223 8.17474.20 0.4299 20.4133 4.6749 4.3666 0.1173 8.52274.25 0.4288 20.9063 4.6992 4.4489 0.1126 8.88404.30 0.4277 21.4050 4.7229 4.5322 0.1080 9.25914.35 0.4266 21.9096 4.7460 4.6165 0.1036 9.64844.40 0.4255 22.4200 4.7685 4.7017 0.0995 10.05224.45 0.4245 22.9362 4.7904 4.7879 0.0955 10.47114.50 0.4236 23.4583 4.8119 4.8751 0.0917 10.90544.55 0.4226 23.9862 4.8328 4.9632 0.0881 11.35564.60 0.4217 24.5200 4.8532 5.0523 0.0846 11.82224.65 0.4208 25.0596 4.8731 5.1424 0.0813 12.30574.70 0.4199 25.6050 4.8926 5.2334 0.0781 12.80654.75 0.4191 26.1562 4.9116 5.3254 0.0750 13.32514.80 0.4183 26.7133 4.9301 5.4184 0.0721 13.86204.85 0.4175 27.2762 4.9482 5.5124 0.0694 14.41774.90 0.4167 27.8450 4.9659 5.6073 0.0667 14.99284.95 0.4160 28.4196 4.9831 5.7032 0.0642 15.58785.00 0.4152 29.0000 5.0000 5.8000 0.0617 16.2032


822 Appendix B

Table B.3 Adiabatic FrictionalFlow in a Constant-Area Duct for k � 1.4

Ma f�L/D p/p* T/T* �*/� � V/V* p0 /p*0

0.00 1.2000 0.0000

0.05 280.0203 21.9034 1.1994 0.0548 11.59140.10 66.9216 10.9435 1.1976 0.1094 5.82180.15 27.9320 7.2866 1.1946 0.1639 3.91030.20 14.5333 5.4554 1.1905 0.2182 2.96350.25 8.4834 4.3546 1.1852 0.2722 2.40270.30 5.2993 3.6191 1.1788 0.3257 2.03510.35 3.4525 3.0922 1.1713 0.3788 1.77800.40 2.3085 2.6958 1.1628 0.4313 1.59010.45 1.5664 2.3865 1.1533 0.4833 1.44870.50 1.0691 2.1381 1.1429 0.5345 1.33980.55 0.7281 1.9341 1.1315 0.5851 1.25490.60 0.4908 1.7634 1.1194 0.6348 1.18820.65 0.3246 1.6183 1.1065 0.6837 1.13560.70 0.2081 1.4935 1.0929 0.7318 1.09440.75 0.1273 1.3848 1.0787 0.7789 1.06240.80 0.0723 1.2893 1.0638 0.8251 1.03820.85 0.0363 1.2047 1.0485 0.8704 1.02070.90 0.0145 1.1291 1.0327 0.9146 1.00890.95 0.0033 1.0613 1.0165 0.9578 1.00211.00 0.0000 1.0000 1.0000 1.0000 1.00001.05 0.0027 0.9443 0.9832 1.0411 1.00201.10 0.0099 0.8936 0.9662 1.0812 1.00791.15 0.0205 0.8471 0.9490 1.1203 1.01751.20 0.0336 0.8044 0.9317 1.1583 1.03041.25 0.0486 0.7649 0.9143 1.1952 1.04681.30 0.0648 0.7285 0.8969 1.2311 1.06631.35 0.0820 0.6947 0.8794 1.2660 1.08901.40 0.0997 0.6632 0.8621 1.2999 1.11491.45 0.1178 0.6339 0.8448 1.3327 1.14401.50 0.1361 0.6065 0.8276 1.3646 1.17621.55 0.1543 0.5808 0.8105 1.3955 1.21161.60 0.1724 0.5568 0.7937 1.4254 1.25021.65 0.1902 0.5342 0.7770 1.4544 1.29221.70 0.2078 0.5130 0.7605 1.4825 1.33761.75 0.2250 0.4929 0.7442 1.5097 1.38651.80 0.2419 0.4741 0.7282 1.5360 1.43901.85 0.2583 0.4562 0.7124 1.5614 1.49521.90 0.2743 0.4394 0.6969 1.5861 1.55531.95 0.2899 0.4234 0.6816 1.6099 1.61932.00 0.3050 0.4082 0.6667 1.6330 1.68752.05 0.3197 0.3939 0.6520 1.6553 1.76002.10 0.3339 0.3802 0.6376 1.6769 1.83692.15 0.3476 0.3673 0.6235 1.6977 1.91852.20 0.3609 0.3549 0.6098 1.7179 2.00502.25 0.3738 0.3432 0.5963 1.7374 2.09642.30 0.3862 0.3320 0.5831 1.7563 2.19312.35 0.3983 0.3213 0.5702 1.7745 2.29532.40 0.4099 0.3111 0.5576 1.7922 2.40312.45 0.4211 0.3014 0.5453 1.8092 2.51682.50 0.4320 0.2921 0.5333 1.8257 2.63672.55 0.4425 0.2832 0.5216 1.8417 2.76302.60 0.4526 0.2747 0.5102 1.8571 2.89602.65 0.4624 0.2666 0.4991 1.8721 3.0359



Table B.3 (Concluded) AdiabaticFrictional Flow in a Constant-AreaDuct for k � 1.4

Ma f�L/D p/p* T/T* �*/� � V/V* p0 /p*0

2.65 0.4624 0.2666 0.4991 1.8721 3.03592.70 0.4718 0.2588 0.4882 1.8865 3.18302.75 0.4809 0.2513 0.4776 1.9005 3.33772.80 0.4898 0.2441 0.4673 1.9140 3.50012.85 0.4983 0.2373 0.4572 1.9271 3.67072.90 0.5065 0.2307 0.4474 1.9398 3.84982.95 0.5145 0.2243 0.4379 1.9521 4.03763.00 0.5222 0.2182 0.4286 1.9640 4.23463.05 0.5296 0.2124 0.4195 1.9755 4.44103.10 0.5368 0.2067 0.4107 1.9866 4.65733.15 0.5437 0.2013 0.4021 1.9974 4.88383.20 0.5504 0.1961 0.3937 2.0079 5.12103.25 0.5569 0.1911 0.3855 2.0180 5.36913.30 0.5632 0.1862 0.3776 2.0278 5.62863.35 0.5693 0.1815 0.3699 2.0373 5.90003.40 0.5752 0.1770 0.3623 2.0466 6.18373.45 0.5809 0.1727 0.3550 2.0555 6.48013.50 0.5864 0.1685 0.3478 2.0642 6.78963.55 0.5918 0.1645 0.3409 2.0726 7.11283.60 0.5970 0.1606 0.3341 2.0808 7.45013.65 0.6020 0.1568 0.3275 2.0887 7.80203.70 0.6068 0.1531 0.3210 2.0964 8.16913.75 0.6115 0.1496 0.3148 2.1039 8.55173.80 0.6161 0.1462 0.3086 2.1111 8.95063.85 0.6206 0.1429 0.3027 2.1182 9.36613.90 0.6248 0.1397 0.2969 2.1250 9.79903.95 0.6290 0.1366 0.2912 2.1316 10.24964.00 0.6331 0.1336 0.2857 2.1381 10.7187

Table B.4 Frictionless Duct Flowwith Heat Transfer for k � 1.4 Ma T0 /T*0 p/p* T/T* �*/� � V/V* p0 /p*0

0.00 0.0000 2.4000 0.0000 0.0000 1.26790.05 0.0119 2.3916 0.0143 0.0060 1.26570.10 0.0468 2.3669 0.0560 0.0237 1.25910.15 0.1020 2.3267 0.1218 0.0524 1.24860.20 0.1736 2.2727 0.2066 0.0909 1.23460.25 0.2568 2.2069 0.3044 0.1379 1.21770.30 0.3469 2.1314 0.4089 0.1918 1.19850.35 0.4389 2.0487 0.5141 0.2510 1.17790.40 0.5290 1.9608 0.6151 0.3137 1.15660.45 0.6139 1.8699 0.7080 0.3787 1.13510.50 0.6914 1.7778 0.7901 0.4444 1.11410.55 0.7599 1.6860 0.8599 0.5100 1.09400.60 0.8189 1.5957 0.9167 0.5745 1.07530.65 0.8683 1.5080 0.9608 0.6371 1.05820.70 0.9085 1.4235 0.9929 0.6975 1.04310.75 0.9401 1.3427 1.0140 0.7552 1.03010.80 0.9639 1.2658 1.0255 0.8101 1.01930.85 0.9810 1.1931 1.0285 0.8620 1.01090.90 0.9921 1.1246 1.0245 0.9110 1.00490.95 0.9981 1.0603 1.0146 0.9569 1.00121.00 1.0000 1.0000 1.0000 1.0000 1.0000


824 Appendix B

Table B.4 (Cont.) FrictionlessDuct Flow with Heat Transfer for k � 1.4

Ma T0 /T*0 p/p* T/T* �*/� � V/V* p0 /p*0

1.00 1.0000 1.0000 1.0000 1.0000 1.00001.05 0.9984 0.9436 0.9816 1.0403 1.00121.10 0.9939 0.8909 0.9603 1.0780 1.00491.15 0.9872 0.8417 0.9369 1.1131 1.01091.20 0.9787 0.7958 0.9118 1.1459 1.01941.25 0.9689 0.7529 0.8858 1.1765 1.03031.30 0.9580 0.7130 0.8592 1.2050 1.04371.35 0.9464 0.6758 0.8323 1.2316 1.05941.40 0.9343 0.6410 0.8054 1.2564 1.07771.45 0.9218 0.6086 0.7787 1.2796 1.09831.50 0.9093 0.5783 0.7525 1.3012 1.12151.55 0.8967 0.5500 0.7268 1.3214 1.14731.60 0.8842 0.5236 0.7017 1.3403 1.17561.65 0.8718 0.4988 0.6774 1.3580 1.20661.70 0.8597 0.4756 0.6538 1.3746 1.24021.75 0.8478 0.4539 0.6310 1.3901 1.27671.80 0.8363 0.4335 0.6089 1.4046 1.31591.85 0.8250 0.4144 0.5877 1.4183 1.35811.90 0.8141 0.3964 0.5673 1.4311 1.40331.95 0.8036 0.3795 0.5477 1.4432 1.45162.00 0.7934 0.3636 0.5289 1.4545 1.50312.05 0.7835 0.3487 0.5109 1.4652 1.55792.10 0.7741 0.3345 0.4936 1.4753 1.61622.15 0.7649 0.3212 0.4770 1.4848 1.67802.20 0.7561 0.3086 0.4611 1.4938 1.74342.25 0.7477 0.2968 0.4458 1.5023 1.81282.30 0.7395 0.2855 0.4312 1.5103 1.88602.35 0.7317 0.2749 0.4172 1.5180 1.96342.40 0.7242 0.2648 0.4038 1.5252 2.04512.45 0.7170 0.2552 0.3910 1.5320 2.13112.50 0.7101 0.2462 0.3787 1.5385 2.22182.55 0.7034 0.2375 0.3669 1.5446 2.31732.60 0.6970 0.2294 0.3556 1.5505 2.41772.65 0.6908 0.2216 0.3448 1.5560 2.52332.70 0.6849 0.2142 0.3344 1.5613 2.63432.75 0.6793 0.2071 0.3244 1.5663 2.75082.80 0.6738 0.2004 0.3149 1.5711 2.87312.85 0.6685 0.1940 0.3057 1.5757 3.00142.90 0.6635 0.1879 0.2969 1.5801 3.13592.95 0.6586 0.1820 0.2884 1.5843 3.27683.00 0.6540 0.1765 0.2803 1.5882 3.42453.05 0.6495 0.1711 0.2725 1.5920 3.57903.10 0.6452 0.1660 0.2650 1.5957 3.74083.15 0.6410 0.1612 0.2577 1.5992 3.91013.20 0.6370 0.1565 0.2508 1.6025 4.08713.25 0.6331 0.1520 0.2441 1.6057 4.27213.30 0.6294 0.1477 0.2377 1.6088 4.46553.35 0.6258 0.1436 0.2315 1.6117 4.66743.40 0.6224 0.1397 0.2255 1.6145 4.87833.45 0.6190 0.1359 0.2197 1.6172 5.09843.50 0.6158 0.1322 0.2142 1.6198 5.32803.55 0.6127 0.1287 0.2088 1.6223 5.56763.60 0.6097 0.1254 0.2037 1.6247 5.81733.65 0.6068 0.1221 0.1987 1.6271 6.0776



Table B.4 (Concluded)Frictionless Duct Flow with HeatTransfer for k � 1.4

Ma T0 /T*0 p/p* T/T* �*/� � V/V* p0 /p*0

3.65 0.6068 0.1221 0.1987 1.6271 6.07763.70 0.6040 0.1190 0.1939 1.6293 6.34883.75 0.6013 0.1160 0.1893 1.6314 6.63143.80 0.5987 0.1131 0.1848 1.6335 6.92563.85 0.5962 0.1103 0.1805 1.6355 7.23183.90 0.5937 0.1077 0.1763 1.6374 7.55053.95 0.5914 0.1051 0.1722 1.6392 7.88204.00 0.5891 0.1026 0.1683 1.6410 8.2268

Table B.5 Prandtl-MeyerSupersonic Expansion Function for k � 1.4

Ma �, deg Ma �, deg Ma �, deg Ma �, deg

1.00 0.001.05 0.49 3.05 50.71 5.05 77.38 7.05 91.231.10 1.34 3.10 51.65 5.10 77.84 7.10 91.491.15 2.38 3.15 52.57 5.15 78.29 7.15 91.751.20 3.56 3.20 53.47 5.20 78.73 7.20 92.001.25 4.83 3.25 54.35 5.25 79.17 7.25 92.241.30 6.17 3.30 55.22 5.30 79.60 7.30 92.491.35 7.56 3.35 56.07 5.35 80.02 7.35 92.731.40 8.99 3.40 56.91 5.40 80.43 7.40 92.971.45 10.44 3.45 57.73 5.45 80.84 7.45 93.211.50 11.91 3.50 58.53 5.50 81.24 7.50 93.441.55 13.38 3.55 59.32 5.55 81.64 7.55 93.671.60 14.86 3.60 60.09 5.60 82.03 7.60 93.901.65 16.34 3.65 60.85 5.65 82.42 7.65 94.121.70 17.81 3.70 61.60 5.70 82.80 7.70 94.341.75 19.27 3.75 62.33 5.75 83.17 7.75 94.561.80 20.73 3.80 63.04 5.80 83.54 7.80 94.781.85 22.16 3.85 63.75 5.85 83.90 7.85 95.001.90 23.59 3.90 64.44 5.90 84.26 7.90 95.211.95 24.99 3.95 65.12 5.95 84.61 7.95 95.422.00 26.38 4.00 65.78 6.00 84.96 8.00 95.622.05 27.75 4.05 66.44 6.05 85.30 8.05 95.832.10 29.10 4.10 67.08 6.10 85.63 8.10 96.032.15 30.43 4.15 67.71 6.15 85.97 8.15 96.232.20 31.73 4.20 68.33 6.20 86.29 8.20 96.432.25 33.02 4.25 68.94 6.25 86.62 8.25 96.632.30 34.28 4.30 69.54 6.30 86.94 8.30 96.822.35 35.53 4.35 70.13 6.35 87.25 8.35 97.012.40 36.75 4.40 70.71 6.40 87.56 8.40 97.202.45 37.95 4.45 71.27 6.45 87.87 8.45 97.392.50 39.12 4.50 71.83 6.50 88.17 8.50 97.572.55 40.28 4.55 72.38 6.55 88.47 8.55 97.762.60 41.41 4.60 72.92 6.60 88.76 8.60 97.942.65 42.53 4.65 73.45 6.65 89.05 8.65 98.122.70 43.62 4.70 73.97 6.70 89.33 8.70 98.292.75 44.69 4.75 74.48 6.75 89.62 8.75 98.472.80 45.75 4.80 74.99 6.80 89.89 8.80 98.642.85 46.78 4.85 75.48 6.85 90.17 8.85 98.812.90 47.79 4.90 75.97 6.90 90.44 8.90 98.982.95 48.78 4.95 76.45 6.95 90.71 8.95 99.153.00 49.76 5.00 76.92 7.00 90.97 9.00 99.32


826 Appendix B

Fig. B.1 Mach numberdownstream of an oblique shockfor k � 1.4.

4.0

3.0

2.0

1.0

02.0 3.0 4.01.0

Ma 2

Ma1

Mach line

= 0°

Weakshock

Strongshock

=β20°

25

30

35

40

45

55

50

60657075

859080

Normal shock

5

10

15

20

25

3035

θ

β

Ma1

Ma 2

θ

θ

whi38447_app_814-843.qxd 9/12/06 5:05 PM 26CONFIRMING PAGES


Fig. B.2 Pressure ratio downstreamof an oblique shock for k � 1.4.

θ

Weak shock

Strong shock

β

80°

Normal shock

5

10

15

20

25

θ

2.0

3.0

4.0

5.0

6.0

7.0

8.0

9.0

10.0

Ma1, p1p2

7090 75 65 60 55 50 45

40

35

30

25

20

β

30°θ =

=

p2

p1

1.01.0

Ma1

2.0 3.0 4.0


compressible flow table

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