Tables of Normal Shocks, k=1.4 Ideal Gas

Table 5.1: The shock wave table for k = 1.4

$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x}$	$\mathbf{M_y}$	$\mathbf{T_y \over T_x}$	$\mathbf{\rho_y \over \rho_x}$	$\mathbf{P_y \over P_x}$	$\mathbf{P_{0y} \over P_{0x}}$
1.00	1.00000	1.00000	1.00000	1.00000	1.00000
1.05	0.95313	1.03284	1.08398	1.11958	0.99985
1.10	0.91177	1.06494	1.16908	1.24500	0.99893
1.15	0.87502	1.09658	1.25504	1.37625	0.99669
1.20	0.84217	1.12799	1.34161	1.51333	0.99280
1.25	0.81264	1.15938	1.42857	1.65625	0.98706
1.30	0.78596	1.19087	1.51570	1.80500	0.97937
1.35	0.76175	1.22261	1.60278	1.95958	0.96974
1.40	0.73971	1.25469	1.68966	2.12000	0.95819
1.45	0.71956	1.28720	1.77614	2.28625	0.94484
1.50	0.70109	1.32022	1.86207	2.45833	0.92979
1.55	0.68410	1.35379	1.94732	2.63625	0.91319
1.60	0.66844	1.38797	2.03175	2.82000	0.89520
1.65	0.65396	1.42280	2.11525	3.00958	0.87599
1.70	0.64054	1.45833	2.19772	3.20500	0.85572
1.75	0.62809	1.49458	2.27907	3.40625	0.83457
1.80	0.61650	1.53158	2.35922	3.61333	0.81268
1.85	0.60570	1.56935	2.43811	3.82625	0.79023
1.90	0.59562	1.60792	2.51568	4.04500	0.76736
1.95	0.58618	1.64729	2.59188	4.26958	0.74420
2.00	0.57735	1.68750	2.66667	4.50000	0.72087
2.05	0.56906	1.72855	2.74002	4.73625	0.69751
2.10	0.56128	1.77045	2.81190	4.97833	0.67420
2.15	0.55395	1.81322	2.88231	5.22625	0.65105
2.20	0.54706	1.85686	2.95122	5.48000	0.62814
2.25	0.54055	1.90138	3.01863	5.73958	0.60553
2.30	0.53441	1.94680	3.08455	6.00500	0.58329
2.35	0.52861	1.99311	3.14897	6.27625	0.56148
2.40	0.52312	2.04033	3.21190	6.55333	0.54014
2.45	0.51792	2.08846	3.27335	6.83625	0.51931
2.50	0.51299	2.13750	3.33333	7.12500	0.49901
2.75	0.49181	2.39657	3.61194	8.65625	0.40623
3.00	0.47519	2.67901	3.85714	10.33333	0.32834
3.25	0.46192	2.98511	4.07229	12.15625	0.26451
3.50	0.45115	3.31505	4.26087	14.12500	0.21295
3.75	0.44231	3.66894	4.42623	16.23958	0.17166
4.00	0.43496	4.04688	4.57143	18.50000	0.13876
4.25	0.42878	4.44891	4.69919	20.90625	0.11256
4.50	0.42355	4.87509	4.81188	23.45833	0.09170
4.75	0.41908	5.32544	4.91156	26.15625	0.07505
5.00	0.41523	5.80000	5.00000	29.00000	0.06172
5.25	0.41189	6.29878	5.07869	31.98958	0.05100
5.50	0.40897	6.82180	5.14894	35.12500	0.04236
5.75	0.40642	7.36906	5.21182	38.40625	0.03536
6.00	0.40416	7.94059	5.26829	41.83333	0.02965
6.25	0.40216	8.53637	5.31915	45.40625	0.02498
6.50	0.40038	9.15643	5.36508	49.12500	0.02115
6.75	0.39879	9.80077	5.40667	52.98958	0.01798
7.00	0.39736	10.46939	5.44444	57.00000	0.01535
7.25	0.39607	11.16229	5.47883	61.15625	0.01316
7.50	0.39491	11.87948	5.51020	65.45833	0.01133
7.75	0.39385	12.62095	5.53890	69.90625	0.00979
8.00	0.39289	13.38672	5.56522	74.50000	0.00849
8.25	0.39201	14.17678	5.58939	79.23958	0.00739
8.50	0.39121	14.99113	5.61165	84.12500	0.00645
8.75	0.39048	15.82978	5.63218	89.15625	0.00565
9.00	0.38980	16.69273	5.65116	94.33333	0.00496
9.25	0.38918	17.57997	5.66874	99.65625	0.00437
9.50	0.38860	18.49152	5.68504	105.12500	0.00387
9.75	0.38807	19.42736	5.70019	110.73958	0.00343
10.00	0.38758	20.38750	5.71429	116.50000	0.00304

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Table for a Reflective Shock suddenly closed valve

$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x}$	$\mathbf{M_y}$	$\mathbf{{M_x}^{'}}$	$\mathbf{{M_y}^{'}}$	$\mathbf{{T_y} \over {T_x} }$	$\mathbf{{P_y} \over {P_x}}$	$\mathbf{{P_0}_y \over {P_0}_x }$
1.006	0.99403	0.01	0.0	1.004	1.014	1.00000
1.012	0.98812	0.02	0.0	1.008	1.028	1.00000
1.018	0.98227	0.03	0.0	1.012	1.043	0.99999
1.024	0.97647	0.04	0.0	1.016	1.057	0.99998
1.030	0.97074	0.05	0.0	1.020	1.072	0.99997
1.037	0.96506	0.06	0.0	1.024	1.087	0.99994
1.043	0.95944	0.07	0.0	1.028	1.102	0.99991
1.049	0.95387	0.08	0.0	1.032	1.118	0.99986
1.055	0.94836	0.09	0.0	1.036	1.133	0.99980
1.062	0.94291	0.10	0.0	1.040	1.149	0.99973
1.127	0.89128	0.20	0.0	1.082	1.316	0.99790
1.196	0.84463	0.30	0.0	1.126	1.502	0.99317
1.268	0.80251	0.40	0.0	1.171	1.710	0.98446
1.344	0.76452	0.50	0.0	1.219	1.941	0.97099
1.423	0.73029	0.60	0.0	1.269	2.195	0.95231
1.505	0.69946	0.70	0.0	1.323	2.475	0.92832
1.589	0.67171	0.80	0.0	1.381	2.780	0.89918
1.676	0.64673	0.90	0.0	1.442	3.112	0.86537
1.766	0.62425	1.00	0.0	1.506	3.473	0.82755
1.858	0.60401	1.10	0.0	1.576	3.862	0.78652
1.952	0.58578	1.20	0.0	1.649	4.280	0.74316
2.048	0.56935	1.30	0.0	1.727	4.728	0.69834
2.146	0.55453	1.40	0.0	1.810	5.206	0.65290
2.245	0.54114	1.50	0.0	1.897	5.715	0.60761
2.346	0.52904	1.60	0.0	1.990	6.256	0.56312
2.448	0.51808	1.70	0.0	2.087	6.827	0.51996
2.552	0.50814	1.80	0.0	2.189	7.431	0.47855
2.656	0.49912	1.90	0.0	2.297	8.066	0.43921
2.762	0.49092	2.00	0.0	2.410	8.734	0.40213
3.859	0.43894	3.00	0.0	3.831	17.21	0.15637
5.000	0.41523	4.00	0.0	5.800	29.00	0.061716
6.162	0.40284	5.00	0.0	8.325	44.14	0.026517
7.336	0.39566	6.00	0.0	11.41	62.62	0.012492
8.517	0.39116	7.00	0.0	15.05	84.47	0.00639
9.703	0.38817	8.00	0.0	19.25	1.1E+2	0.00350
10.89	0.38608	9.00	0.0	24.01	1.4E+2	0.00204
12.08	0.38457	10.0	0.0	29.33	1.7E+2	0.00125

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Table for shock suddenly opened valve (k=1.4)

$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x}$	$\mathbf{M_y}$	$\mathbf{{M_x}^{'}}$	$\mathbf{{M_y}^{'}}$	$\mathbf{{T_y} \over {T_x} }$	$\mathbf{{P_y} \over {P_x}}$	$\mathbf{{P_0}_y \over {P_0}_x }$
1.006	0.99402	0.0	0.01	1.004	1.014	1.00000
1.012	0.98807	0.0	0.02	1.008	1.028	1.00000
1.018	0.98216	0.0	0.03	1.012	1.043	0.99999
1.024	0.97629	0.0	0.04	1.016	1.058	0.99998
1.031	0.97045	0.0	0.05	1.020	1.073	0.99996
1.037	0.96465	0.0	0.06	1.024	1.088	0.99994
1.044	0.95888	0.0	0.07	1.029	1.104	0.99990
1.050	0.95315	0.0	0.08	1.033	1.120	0.99985
1.057	0.94746	0.0	0.09	1.037	1.136	0.99979
1.063	0.94180	0.0	0.10	1.041	1.152	0.99971
1.133	0.88717	0.0	0.20	1.086	1.331	0.99763
1.210	0.83607	0.0	0.30	1.134	1.541	0.99181
1.295	0.78840	0.0	0.40	1.188	1.791	0.98019
1.390	0.74403	0.0	0.50	1.248	2.087	0.96069
1.495	0.70283	0.0	0.60	1.317	2.441	0.93133
1.613	0.66462	0.0	0.70	1.397	2.868	0.89039
1.745	0.62923	0.0	0.80	1.491	3.387	0.83661
1.896	0.59649	0.0	0.90	1.604	4.025	0.76940
2.068	0.56619	0.0	1.00	1.744	4.823	0.68907
2.269	0.53817	0.0	1.100	1.919	5.840	0.59699
2.508	0.51223	0.0	1.200	2.145	7.171	0.49586
2.799	0.48823	0.0	1.300	2.450	8.975	0.38974
3.167	0.46599	0.0	1.400	2.881	11.54	0.28412
3.658	0.44536	0.0	1.500	3.536	15.45	0.18575
4.368	0.42622	0.0	1.600	4.646	22.09	0.10216
5.551	0.40843	0.0	1.700	6.931	35.78	0.040812
8.293	0.39187	0.0	1.800	14.32	80.07	0.00721
8.821	0.39028	0.0	1.810	16.07	90.61	0.00544
9.457	0.38870	0.0	1.820	18.33	1.0E+2	0.00395
10.24	0.38713	0.0	1.830	21.35	1.2E+2	0.00272
11.25	0.38557	0.0	1.840	25.57	1.5E+2	0.00175
12.62	0.38402	0.0	1.850	31.92	1.9E+2	0.00101
14.62	0.38248	0.0	1.860	42.53	2.5E+2	0.000497
17.99	0.38096	0.0	1.870	63.84	3.8E+2	0.000181
25.62	0.37944	0.0	1.880	1.3E+2	7.7E+2	3.18E-5
61.31	0.37822	0.0	1.888	7.3E+2	4.4E+3	0.0
62.95	0.37821	0.0	1.888	7.7E+2	4.6E+3	0.0
64.74	0.37820	0.0	1.888	8.2E+2	4.9E+3	0.0
66.69	0.37818	0.0	1.888	8.7E+2	5.2E+3	0.0
68.83	0.37817	0.0	1.888	9.2E+2	5.5E+3	0.0
71.18	0.37816	0.0	1.889	9.9E+2	5.9E+3	0.0
73.80	0.37814	0.0	1.889	1.1E+3	6.4E+3	0.0
76.72	0.37813	0.0	1.889	1.1E+3	6.9E+3	0.0
80.02	0.37812	0.0	1.889	1.2E+3	7.5E+3	0.0
83.79	0.37810	0.0	1.889	1.4E+3	8.2E+3	0.0

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Table for shock from a suddenly opened valve (k=1.3)

$\rule[-0.1in]{0.pt}{0.3 in}\mathbf{M_x}$	$\mathbf{M_y}$	$\mathbf{{M_x}^{'}}$	$\mathbf{{M_y}^{'}}$	$\mathbf{{T_y} \over {T_x} }$	$\mathbf{{P_y} \over {P_x}}$	$\mathbf{{P_0}_y \over {P_0}_x }$
1.0058	0.99427	0.0	0.010	1.003	1.013	1.00000
1.012	0.98857	0.0	0.020	1.006	1.026	1.00000
1.017	0.98290	0.0	0.030	1.009	1.040	0.99999
1.023	0.97726	0.0	0.040	1.012	1.054	0.99998
1.029	0.97166	0.0	0.050	1.015	1.067	0.99997
1.035	0.96610	0.0	0.060	1.018	1.081	0.99995
1.042	0.96056	0.0	0.070	1.021	1.096	0.99991
1.048	0.95506	0.0	0.080	1.024	1.110	0.99987
1.054	0.94959	0.0	0.090	1.028	1.125	0.99981
1.060	0.94415	0.0	0.100	1.031	1.140	0.99975
1.126	0.89159	0.0	0.200	1.063	1.302	0.99792
1.197	0.84227	0.0	0.300	1.098	1.489	0.99288
1.275	0.79611	0.0	0.400	1.136	1.706	0.98290
1.359	0.75301	0.0	0.500	1.177	1.959	0.96631
1.452	0.71284	0.0	0.600	1.223	2.252	0.94156
1.553	0.67546	0.0	0.700	1.274	2.595	0.90734
1.663	0.64073	0.0	0.800	1.333	2.997	0.86274
1.785	0.60847	0.0	0.900	1.400	3.471	0.80734
1.919	0.57853	0.0	1.00	1.478	4.034	0.74136
2.069	0.55074	0.0	1.100	1.570	4.707	0.66575
2.236	0.52495	0.0	1.200	1.681	5.522	0.58223
2.426	0.50100	0.0	1.300	1.815	6.523	0.49333
2.644	0.47875	0.0	1.400	1.980	7.772	0.40226
2.898	0.45807	0.0	1.500	2.191	9.367	0.31281
3.202	0.43882	0.0	1.600	2.467	11.46	0.22904
3.576	0.42089	0.0	1.700	2.842	14.32	0.15495
4.053	0.40418	0.0	1.800	3.381	18.44	0.093988
4.109	0.40257	0.0	1.810	3.448	18.95	0.088718
4.166	0.40097	0.0	1.820	3.519	19.49	0.083607
4.225	0.39938	0.0	1.830	3.592	20.05	0.078654
4.286	0.39780	0.0	1.840	3.669	20.64	0.073863
4.349	0.39624	0.0	1.850	3.749	21.25	0.069233
4.415	0.39468	0.0	1.860	3.834	21.90	0.064766
4.482	0.39314	0.0	1.870	3.923	22.58	0.060462
4.553	0.39160	0.0	1.880	4.016	23.30	0.056322
4.611	0.39037	0.0	1.888	4.096	23.91	0.053088
4.612	0.39035	0.0	1.888	4.097	23.91	0.053053
4.613	0.39034	0.0	1.888	4.098	23.92	0.053018
4.613	0.39033	0.0	1.888	4.099	23.93	0.052984
4.614	0.39031	0.0	1.888	4.099	23.93	0.052949
4.615	0.39030	0.0	1.889	4.100	23.94	0.052914
4.615	0.39029	0.0	1.889	4.101	23.95	0.052879
4.616	0.39027	0.0	1.889	4.102	23.95	0.052844
4.616	0.39026	0.0	1.889	4.103	23.96	0.052809
4.617	0.39025	0.0	1.889	4.104	23.97	0.052775

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