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11.9.3: Rayleigh Flow Tables and Figures

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    835
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    Several observations can be made in regards to the stagnation temperature. The maximum temperature is not at Mach equal to one. Yet the maximum enetropy accurs at Mach equal to one.

    \(M\) 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.10 0.20 0.25 0.30 0.35 0.40 0.45 0.50 0.55 0.60 0.65 0.70 0.75 0.80 0.85 0.90 0.95 1.0 1.1 1.2 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.5 4.0 4.5 5.0 5.5 6.0 6.5 7.0 7.5 8.0 8.5 9.0 9.5 10.0 20.0 25.0 30.0 35.0 40.0 45.0 50.0 55.0 60.0 65.0 70.0
    \(\dfrac{T}{T^{\star}}\) 0.00517 0.00917 0.014300 0.020529 0.027841 0.036212 0.045616 0.056020 0.20661 0.30440 0.40887 0.51413 0.61515 0.70804 0.79012 0.85987 0.91670 0.96081 0.99290 1.014 1.025 1.029 1.025 1.015 1.00 0.96031 0.91185 0.85917 0.80539 0.75250 0.70174 0.65377 0.60894 0.56734 0.52893 0.49356 0.46106 0.43122 0.40384 0.37870 0.35561 0.33439 0.31486 0.29687 0.28028 0.21419 0.16831 0.13540 0.11111 0.092719 0.078487 0.067263 0.058264 0.050943 0.044910 0.039883 0.035650 0.032053 0.028972 0.00732 0.00469 0.00326 0.00240 0.00184 0.00145 0.00117 0.000971 0.000816 0.000695 0.000600
    \(\dfrac{T_0}
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    \)
    0.00431 0.00765 0.011922 0.017119 0.023223 0.030215 0.038075 0.046777 0.17355 0.25684 0.34686 0.43894 0.52903 0.61393 0.69136 0.75991 0.81892 0.86833 0.90850 0.94009 0.96395 0.98097 0.99207 0.99814 1.00 0.99392 0.97872 0.95798 0.93425 0.90928 0.88419 0.85971 0.83628 0.81414 0.79339 0.77406 0.75613 0.73954 0.72421 0.71006 0.69700 0.68494 0.67380 0.66350 0.65398 0.61580 0.58909 0.56982 0.55556 0.54473 0.53633 0.52970 0.52438 0.52004 0.51647 0.51349 0.51098 0.50885 0.50702 0.49415 0.49259 0.49174 0.49122 0.49089 0.49066 0.49050 0.49037 0.49028 0.49021 0.49015
    \(\dfrac{P}
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    \)
    2.397 2.395 2.392 2.388 2.384 2.379 2.373 2.367 2.273 2.207 2.131 2.049 1.961 1.870 1.778 1.686 1.596 1.508 1.423 1.343 1.266 1.193 1.125 1.060 1.00 0.89087 0.79576 0.71301 0.64103 0.57831 0.52356 0.47562 0.43353 0.39643 0.36364 0.33454 0.30864 0.28551 0.26478 0.24615 0.22936 0.21417 0.20040 0.18788 0.17647 0.13223 0.10256 0.081772 0.066667 0.055363 0.046693 0.039900 0.034483 0.030094 0.026490 0.023495 0.020979 0.018846 0.017021 0.00428 0.00274 0.00190 0.00140 0.00107 0.000846 0.000686 0.000567 0.000476 0.000406 0.000350
    \(\dfrac{P_0}
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    \)
    1.267 1.266 1.266 1.265 1.264 1.262 1.261 1.259 1.235 1.218 1.199 1.178 1.157 1.135 1.114 1.094 1.075 1.058 1.043 1.030 1.019 1.011 1.005 1.001 1.00 1.005 1.019 1.044 1.078 1.122 1.176 1.240 1.316 1.403 1.503 1.616 1.743 1.886 2.045 2.222 2.418 2.634 2.873 3.136 3.424 5.328 8.227 12.50 18.63 27.21 38.95 54.68 75.41 1.0E+2 1.4E+2 1.8E+2 2.3E+2 3.0E+2 3.8E+2 1.1E+4 3.2E+4 8.0E+4 1.7E+5 3.4E+5 6.0E+5 1.0E+6 1.6E+6 2.5E+6 3.8E+6 5.5E+6
    \(\dfrac
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    {\rho}\)
    0.00216 0.00383 0.00598 0.00860 0.011680 0.015224 0.019222 0.023669 0.090909 0.13793 0.19183 0.25096 0.31373 0.37865 0.44444 0.51001 0.57447 0.63713 0.69751 0.75524 0.81013 0.86204 0.91097 0.95693 1.000 1.078 1.146 1.205 1.256 1.301 1.340 1.375 1.405 1.431 1.455 1.475 1.494 1.510 1.525 1.538 1.550 1.561 1.571 1.580 1.588 1.620 1.641 1.656 1.667 1.675 1.681 1.686 1.690 1.693 1.695 1.698 1.699 1.701 1.702 1.711 1.712 1.713 1.713 1.714 1.714 1.714 1.714 1.714 1.714 1.714

    The data is presented in Figure 11.41.

    Fig. 11.41 The basic functions of Rayleigh Flow (k=1.4).

    Contributors

    • Dr. Genick Bar-Meir. Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or later or Potto license.