Rayleigh Flow Tables

The ``star'' values are tabulated in Table (10.1). Several observations can be made in regards to the stagnation temperature.

Table 10.1: Rayleigh Flow k=1.4

$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M}$	$\mathbf{T \over T^{*}}$	$\mathbf{T_0 \over {T_0}^{*}}$	$\mathbf{P \over P^{*}}$	$\mathbf{P_0 \over {P_0}^{*}}$	$\mathbf{\rho^{*} \over \rho}$
0.03	0.00517	0.00431	2.397	1.267	0.00216
0.04	0.00917	0.00765	2.395	1.266	0.00383
0.05	0.014300	0.011922	2.392	1.266	0.00598
0.06	0.020529	0.017119	2.388	1.265	0.00860
0.07	0.027841	0.023223	2.384	1.264	0.011680
0.08	0.036212	0.030215	2.379	1.262	0.015224
0.09	0.045616	0.038075	2.373	1.261	0.019222
0.10	0.056020	0.046777	2.367	1.259	0.023669
0.20	0.20661	0.17355	2.273	1.235	0.090909
0.25	0.30440	0.25684	2.207	1.218	0.13793
0.30	0.40887	0.34686	2.131	1.199	0.19183
0.35	0.51413	0.43894	2.049	1.178	0.25096
0.40	0.61515	0.52903	1.961	1.157	0.31373
0.45	0.70804	0.61393	1.870	1.135	0.37865
0.50	0.79012	0.69136	1.778	1.114	0.44444
0.55	0.85987	0.75991	1.686	1.094	0.51001
0.60	0.91670	0.81892	1.596	1.075	0.57447
0.65	0.96081	0.86833	1.508	1.058	0.63713
0.70	0.99290	0.90850	1.423	1.043	0.69751
0.75	1.014	0.94009	1.343	1.030	0.75524
0.80	1.025	0.96395	1.266	1.019	0.81013
0.85	1.029	0.98097	1.193	1.011	0.86204
0.90	1.025	0.99207	1.125	1.005	0.91097
0.95	1.015	0.99814	1.060	1.001	0.95693
1.0	1.00	1.00	1.00	1.00	1.000
1.1	0.96031	0.99392	0.89087	1.005	1.078
1.2	0.91185	0.97872	0.79576	1.019	1.146
1.3	0.85917	0.95798	0.71301	1.044	1.205
1.4	0.80539	0.93425	0.64103	1.078	1.256
1.5	0.75250	0.90928	0.57831	1.122	1.301
1.6	0.70174	0.88419	0.52356	1.176	1.340
1.7	0.65377	0.85971	0.47562	1.240	1.375
1.8	0.60894	0.83628	0.43353	1.316	1.405
1.9	0.56734	0.81414	0.39643	1.403	1.431
2.0	0.52893	0.79339	0.36364	1.503	1.455
2.1	0.49356	0.77406	0.33454	1.616	1.475
2.2	0.46106	0.75613	0.30864	1.743	1.494
2.3	0.43122	0.73954	0.28551	1.886	1.510
2.4	0.40384	0.72421	0.26478	2.045	1.525
2.5	0.37870	0.71006	0.24615	2.222	1.538
2.6	0.35561	0.69700	0.22936	2.418	1.550
2.7	0.33439	0.68494	0.21417	2.634	1.561
2.8	0.31486	0.67380	0.20040	2.873	1.571
2.9	0.29687	0.66350	0.18788	3.136	1.580
3.0	0.28028	0.65398	0.17647	3.424	1.588
3.5	0.21419	0.61580	0.13223	5.328	1.620
4.0	0.16831	0.58909	0.10256	8.227	1.641
4.5	0.13540	0.56982	0.081772	12.50	1.656
5.0	0.11111	0.55556	0.066667	18.63	1.667
5.5	0.092719	0.54473	0.055363	27.21	1.675
6.0	0.078487	0.53633	0.046693	38.95	1.681
6.5	0.067263	0.52970	0.039900	54.68	1.686
7.0	0.058264	0.52438	0.034483	75.41	1.690
7.5	0.050943	0.52004	0.030094	1.0E+2	1.693
8.0	0.044910	0.51647	0.026490	1.4E+2	1.695
8.5	0.039883	0.51349	0.023495	1.8E+2	1.698
9.0	0.035650	0.51098	0.020979	2.3E+2	1.699
9.5	0.032053	0.50885	0.018846	3.0E+2	1.701
10.0	0.028972	0.50702	0.017021	3.8E+2	1.702
20.0	0.00732	0.49415	0.00428	1.1E+4	1.711
25.0	0.00469	0.49259	0.00274	3.2E+4	1.712
30.0	0.00326	0.49174	0.00190	8.0E+4	1.713
35.0	0.00240	0.49122	0.00140	1.7E+5	1.713
40.0	0.00184	0.49089	0.00107	3.4E+5	1.714
45.0	0.00145	0.49066	0.000846	6.0E+5	1.714
50.0	0.00117	0.49050	0.000686	1.0E+6	1.714
55.0	0.000971	0.49037	0.000567	1.6E+6	1.714
60.0	0.000816	0.49028	0.000476	2.5E+6	1.714
65.0	0.000695	0.49021	0.000406	3.8E+6	1.714
70.0	0.000600	0.49015	0.000350	5.5E+6	1.714

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The data is presented in Figure (10.3).

Figure 10.3: The basic functions of Rayleigh Flow (k=1.4)