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Appendix 4:
Compressible flow tables
Table A4.1 Subsonic flow (isentropic flow, = 7/5)
Notation:
M = Local flow Mach number
P/P = Ratio of static pressure to total pressure
o
/ = Ratio of local flow density to stagnation density
o
T/T o = Ratio of static temperature to total temperature
= (1 – M 2 ) = Compressibility factor
V/a* = Local velocity/speed of sound at sonic point
q/P = Dynamic pressure/total pressure
o
A/A* = Local flow area/flow area at sonic point
M P/P o / o T/T o q/P o 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