Notation :
M = Local flow Mach number
P/Po = Ratio of static pressure to total pressure
rho/rho(o) = Ratio of local flow density to stagnation density (r/ro)
T/To = Ratio of static temperature to total temperature
Beta = sqrt(1-M^2) = Compressibility factor
V/a* = Local velocity / speed of sound at sonic point
q/Po = Dynamic pressure / total pressure
A/A* = Local flow area / flow area at sonic point
---------------------------------------------------------------------- | M P/Po r/ro T/To Beta q/Po A/A* V/a* | |----------------------------------------------------------------------| | 0.00 | 1.0000 | 1.0000 | 1.0000 | 1.0000 | 0.0000 | ------ | 0.0000 | | 0.01 | 0.9999 | 1.0000 | 1.0000 | 0.9999 | 7.000e-5|57.8738 | 0.0110 | | 0.02 | 0.9997 | 0.9998 | 0.9999 | 0.9998 | 2.799e-4|28.9421 | 0.0219 | | 0.03 | 0.9994 | 0.9996 | 0.9998 | 0.9995 | 6.296e-4|19.3005 | 0.0329 | | 0.04 | 0.9989 | 0.9992 | 0.9997 | 0.9992 | 1.119e-3|14.4815 | 0.0438 | | 0.05 | 0.9983 | 0.9988 | 0.9995 | 0.9987 | 1.747e-3|11.5914 | 0.0548 | | 0.06 | 0.9975 | 0.9982 | 0.9993 | 0.9982 | 2.514e-3| 9.6659 | 0.0657 | | 0.07 | 0.9966 | 0.9976 | 0.9990 | 0.9975 | 3.418e-3| 8.2915 | 0.0766 | | 0.08 | 0.9955 | 0.9968 | 0.9987 | 0.9968 | 4.460e-3| 7.2616 | 0.0876 | | 0.09 | 0.9944 | 0.9960 | 0.9984 | 0.9959 | 5.638e-3| 6.4613 | 0.0985 | | 0.10 | 0.9930 | 0.9950 | 0.9980 | 0.9950 | 6.951e-3| 5.8218 | 0.1094 | | 0.11 | 0.9916 | 0.9940 | 0.9976 | 0.9939 | 8.399e-3| 5.2992 | 0.1204 | | 0.12 | 0.9900 | 0.9928 | 0.9971 | 0.9928 | 9.979e-3| 4.8643 | 0.1313 | | 0.13 | 0.9883 | 0.9916 | 0.9966 | 0.9915 | 1.169e-2| 4.4969 | 0.1422 | | 0.14 | 0.9864 | 0.9903 | 0.9961 | 0.9902 | 1.353e-2| 4.1824 | 0.1531 | | 0.15 | 0.9844 | 0.9888 | 0.9955 | 0.9887 | 1.550e-2| 3.9103 | 0.1639 | | 0.16 | 0.9823 | 0.9873 | 0.9949 | 0.9871 | 1.760e-2| 3.6727 | 0.1748 | | 0.17 | 0.9800 | 0.9857 | 0.9943 | 0.9854 | 1.983e-2| 3.4635 | 0.1857 | | 0.18 | 0.9776 | 0.9840 | 0.9936 | 0.9837 | 2.217e-2| 3.2779 | 0.1965 | | 0.19 | 0.9751 | 0.9822 | 0.9928 | 0.9818 | 2.464e-2| 3.1123 | 0.2074 | | 0.20 | 0.9725 | 0.9803 | 0.9921 | 0.9798 | 2.723e-2| 2.9635 | 0.2182 | | 0.21 | 0.9697 | 0.9783 | 0.9913 | 0.9777 | 2.994e-2| 2.8293 | 0.2290 | | 0.22 | 0.9668 | 0.9762 | 0.9904 | 0.9755 | 3.276e-2| 2.7076 | 0.2398 | | 0.23 | 0.9638 | 0.9740 | 0.9895 | 0.9732 | 3.569e-2| 2.5968 | 0.2506 | | 0.24 | 0.9607 | 0.9718 | 0.9886 | 0.9708 | 3.874e-2| 2.4956 | 0.2614 | | 0.25 | 0.9575 | 0.9694 | 0.9877 | 0.9682 | 4.189e-2| 2.4027 | 0.2722 | | 0.26 | 0.9541 | 0.9670 | 0.9867 | 0.9656 | 4.515e-2| 2.3173 | 0.2829 | | 0.27 | 0.9506 | 0.9645 | 0.9856 | 0.9629 | 4.851e-2| 2.2385 | 0.2936 | | 0.28 | 0.9470 | 0.9619 | 0.9846 | 0.9600 | 5.197e-2| 2.1656 | 0.3043 | | 0.29 | 0.9433 | 0.9592 | 0.9835 | 0.9570 | 5.553e-2| 2.0979 | 0.3150 | | 0.30 | 0.9395 | 0.9564 | 0.9823 | 0.9539 | 5.919e-2| 2.0351 | 0.3257 | | 0.31 | 0.9355 | 0.9535 | 0.9811 | 0.9507 | 6.293e-2| 1.9765 | 0.3364 | | 0.32 | 0.9315 | 0.9506 | 0.9799 | 0.9474 | 6.677e-2| 1.9219 | 0.3470 | | 0.33 | 0.9274 | 0.9476 | 0.9787 | 0.9440 | 7.069e-2| 1.8707 | 0.3576 | | 0.34 | 0.9231 | 0.9445 | 0.9774 | 0.9404 | 7.470e-2| 1.8229 | 0.3682 | | 0.35 | 0.9188 | 0.9413 | 0.9761 | 0.9367 | 7.878e-2| 1.7780 | 0.3788 | | 0.36 | 0.9143 | 0.9380 | 0.9747 | 0.9330 | 8.295e-2| 1.7358 | 0.3893 | | 0.37 | 0.9098 | 0.9347 | 0.9733 | 0.9290 | 8.719e-2| 1.6961 | 0.3999 | | 0.38 | 0.9052 | 0.9313 | 0.9719 | 0.9250 | 9.149e-2| 1.6587 | 0.4104 | | 0.39 | 0.9004 | 0.9278 | 0.9705 | 0.9208 | 9.587e-2| 1.6234 | 0.4209 | | 0.40 | 0.8956 | 0.9243 | 0.9690 | 0.9165 | 0.1003 | 1.5901 | 0.4313 | | 0.41 | 0.8907 | 0.9207 | 0.9675 | 0.9121 | 0.1048 | 1.5587 | 0.4418 | | 0.42 | 0.8857 | 0.9170 | 0.9659 | 0.9075 | 0.1094 | 1.5289 | 0.4522 | | 0.43 | 0.8807 | 0.9132 | 0.9643 | 0.9028 | 0.1140 | 1.5007 | 0.4626 | | 0.44 | 0.8755 | 0.9094 | 0.9627 | 0.8980 | 0.1186 | 1.4740 | 0.4729 | | 0.45 | 0.8703 | 0.9055 | 0.9611 | 0.8930 | 0.1234 | 1.4487 | 0.4833 | | 0.46 | 0.8650 | 0.9016 | 0.9594 | 0.8879 | 0.1281 | 1.4246 | 0.4936 | | 0.47 | 0.8596 | 0.8976 | 0.9577 | 0.8827 | 0.1329 | 1.4018 | 0.5038 | | 0.48 | 0.8541 | 0.8935 | 0.9559 | 0.8773 | 0.1378 | 1.3801 | 0.5141 | | 0.49 | 0.8486 | 0.8894 | 0.9542 | 0.8717 | 0.1426 | 1.3595 | 0.5243 | | 0.50 | 0.8430 | 0.8852 | 0.9524 | 0.8660 | 0.1475 | 1.3398 | 0.5345 | | 0.51 | 0.8374 | 0.8809 | 0.9506 | 0.8602 | 0.1525 | 1.3212 | 0.5447 | | 0.52 | 0.8317 | 0.8766 | 0.9487 | 0.8542 | 0.1574 | 1.3034 | 0.5548 | | 0.53 | 0.8259 | 0.8723 | 0.9468 | 0.8480 | 0.1624 | 1.2865 | 0.5649 | | 0.54 | 0.8201 | 0.8679 | 0.9449 | 0.8417 | 0.1674 | 1.2703 | 0.5750 | | 0.55 | 0.8142 | 0.8634 | 0.9430 | 0.8352 | 0.1724 | 1.2549 | 0.5851 | | 0.56 | 0.8082 | 0.8589 | 0.9410 | 0.8285 | 0.1774 | 1.2403 | 0.5951 | | 0.57 | 0.8022 | 0.8544 | 0.9390 | 0.8216 | 0.1825 | 1.2263 | 0.6051 | | 0.58 | 0.7962 | 0.8498 | 0.9370 | 0.8146 | 0.1875 | 1.2130 | 0.6150 | | 0.59 | 0.7901 | 0.8451 | 0.9349 | 0.8074 | 0.1925 | 1.2003 | 0.6249 | | 0.60 | 0.7840 | 0.8405 | 0.9328 | 0.8000 | 0.1976 | 1.1882 | 0.6348 | | 0.61 | 0.7778 | 0.8357 | 0.9307 | 0.7924 | 0.2026 | 1.1767 | 0.6447 | | 0.62 | 0.7716 | 0.8310 | 0.9286 | 0.7846 | 0.2076 | 1.1656 | 0.6545 | | 0.63 | 0.7654 | 0.8262 | 0.9265 | 0.7766 | 0.2127 | 1.1552 | 0.6643 | | 0.64 | 0.7591 | 0.8213 | 0.9243 | 0.7684 | 0.2177 | 1.1451 | 0.6740 | | 0.65 | 0.7528 | 0.8164 | 0.9221 | 0.7599 | 0.2226 | 1.1356 | 0.6837 | | 0.66 | 0.7465 | 0.8115 | 0.9199 | 0.7513 | 0.2276 | 1.1265 | 0.6934 | | 0.67 | 0.7401 | 0.8066 | 0.9176 | 0.7424 | 0.2326 | 1.1179 | 0.7031 | | 0.68 | 0.7338 | 0.8016 | 0.9153 | 0.7332 | 0.2375 | 1.1097 | 0.7127 | | 0.69 | 0.7274 | 0.7966 | 0.9131 | 0.7238 | 0.2424 | 1.1018 | 0.7223 | | 0.70 | 0.7209 | 0.7916 | 0.9107 | 0.7141 | 0.2473 | 1.0944 | 0.7318 | | 0.71 | 0.7145 | 0.7865 | 0.9084 | 0.7042 | 0.2521 | 1.0873 | 0.7413 | | 0.72 | 0.7080 | 0.7814 | 0.9061 | 0.6940 | 0.2569 | 1.0806 | 0.7508 | | 0.73 | 0.7016 | 0.7763 | 0.9037 | 0.6834 | 0.2617 | 1.0742 | 0.7602 | | 0.74 | 0.6951 | 0.7712 | 0.9013 | 0.6726 | 0.2664 | 1.0681 | 0.7696 | | 0.75 | 0.6886 | 0.7660 | 0.8989 | 0.6614 | 0.2711 | 1.0624 | 0.7789 | | 0.76 | 0.6821 | 0.7609 | 0.8964 | 0.6499 | 0.2758 | 1.0570 | 0.7883 | | 0.77 | 0.6756 | 0.7557 | 0.8940 | 0.6380 | 0.2804 | 1.0519 | 0.7975 | | 0.78 | 0.6691 | 0.7505 | 0.8915 | 0.6258 | 0.2849 | 1.0471 | 0.8068 | | 0.79 | 0.6625 | 0.7452 | 0.8890 | 0.6131 | 0.2894 | 1.0425 | 0.8160 | | 0.80 | 0.6560 | 0.7400 | 0.8865 | 0.6000 | 0.2939 | 1.0382 | 0.8251 | | 0.81 | 0.6495 | 0.7347 | 0.8840 | 0.5864 | 0.2983 | 1.0342 | 0.8343 | | 0.82 | 0.6430 | 0.7295 | 0.8815 | 0.5724 | 0.3026 | 1.0305 | 0.8433 | | 0.83 | 0.6365 | 0.7242 | 0.8789 | 0.5578 | 0.3069 | 1.0270 | 0.8524 | | 0.84 | 0.6300 | 0.7189 | 0.8763 | 0.5426 | 0.3112 | 1.0237 | 0.8614 | | 0.85 | 0.6235 | 0.7136 | 0.8737 | 0.5268 | 0.3153 | 1.0207 | 0.8704 | | 0.86 | 0.6170 | 0.7083 | 0.8711 | 0.5103 | 0.3195 | 1.0179 | 0.8793 | | 0.87 | 0.6106 | 0.7030 | 0.8685 | 0.4931 | 0.3235 | 1.0153 | 0.8882 | | 0.88 | 0.6041 | 0.6977 | 0.8659 | 0.4750 | 0.3275 | 1.0129 | 0.8970 | | 0.89 | 0.5977 | 0.6924 | 0.8632 | 0.4560 | 0.3314 | 1.0108 | 0.9058 | | 0.90 | 0.5913 | 0.6870 | 0.8606 | 0.4359 | 0.3352 | 1.0089 | 0.9146 | | 0.91 | 0.5849 | 0.6817 | 0.8579 | 0.4146 | 0.3390 | 1.0071 | 0.9233 | | 0.92 | 0.5785 | 0.6764 | 0.8552 | 0.3919 | 0.3427 | 1.0056 | 0.9320 | | 0.93 | 0.5721 | 0.6711 | 0.8525 | 0.3676 | 0.3464 | 1.0043 | 0.9407 | | 0.94 | 0.5658 | 0.6658 | 0.8498 | 0.3412 | 0.3499 | 1.0031 | 0.9493 | | 0.95 | 0.5595 | 0.6604 | 0.8471 | 0.3122 | 0.3534 | 1.0021 | 0.9578 | | 0.96 | 0.5532 | 0.6551 | 0.8444 | 0.2800 | 0.3569 | 1.0014 | 0.9663 | | 0.97 | 0.5469 | 0.6498 | 0.8416 | 0.2431 | 0.3602 | 1.0008 | 0.9748 | | 0.98 | 0.5407 | 0.6445 | 0.8389 | 0.1990 | 0.3635 | 1.0003 | 0.9833 | | 0.99 | 0.5345 | 0.6392 | 0.8361 | 0.1411 | 0.3667 | 1.0001 | 0.9916 | ----------------------------------------------------------------------© 1996-2006