A | Isentropic flow tables
Table A.1: Isentropic flow properties for γ = 1.4
M
T/T0
P/P0
A/A∗
PA/P0 A∗
µ
ν
M
T/T0
P/P0
A/A∗
PA/P0 A∗
µ
ν
M
T/T0
P/P0
A/A∗
PA/P0 A∗
µ
ν
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
0.30
0.32
0.34
0.36
0.38
0.40
0.42
0.44
0.46
0.48
0.50
0.52
0.54
0.56
0.58
0.60
0.62
0.64
0.66
0.68
0.70
0.72
0.74
0.76
0.78
0.80
0.9999
0.9997
0.9993
0.9987
0.9980
0.9971
0.9961
0.9949
0.9936
0.9921
0.9904
0.9886
0.9867
0.9846
0.9823
0.9799
0.9774
0.9747
0.9719
0.9690
0.9659
0.9627
0.9594
0.9559
0.9524
0.9487
0.9449
0.9410
0.9370
0.9328
0.9286
0.9243
0.9199
0.9153
0.9107
0.9061
0.9013
0.8964
0.8915
0.8865
0.9997
0.9989
0.9975
0.9955
0.9930
0.9900
0.9864
0.9823
0.9776
0.9725
0.9668
0.9607
0.9541
0.9470
0.9395
0.9315
0.9231
0.9143
0.9052
0.8956
0.8857
0.8755
0.8650
0.8541
0.8430
0.8317
0.8201
0.8082
0.7962
0.7840
0.7716
0.7591
0.7465
0.7338
0.7209
0.7080
0.6951
0.6821
0.6691
0.6560
28.9421
14.4815
9.6659
7.2616
5.8218
4.8643
4.1824
3.6727
3.2779
2.9635
2.7076
2.4956
2.3173
2.1656
2.0351
1.9219
1.8229
1.7358
1.6587
1.5901
1.5289
1.4740
1.4246
1.3801
1.3398
1.3034
1.2703
1.2403
1.2130
1.1882
1.1656
1.1451
1.1265
1.1097
1.0944
1.0806
1.0681
1.0570
1.0471
1.0382
28.9340
14.4653
9.6416
7.2292
5.7813
4.8156
4.1255
3.6077
3.2047
2.8820
2.6178
2.3975
2.2109
2.0508
1.9119
1.7902
1.6827
1.5871
1.5014
1.4242
1.3542
1.2905
1.2322
1.1788
1.1295
1.0840
1.0417
1.0024
0.9658
0.9316
0.8995
0.8693
0.8410
0.8142
0.7890
0.7651
0.7424
0.7209
0.7005
0.6811
-
-
0.82
0.84
0.86
0.88
0.90
0.92
0.94
0.96
0.98
1.00
1.02
1.04
1.06
1.08
1.10
1.12
1.14
1.16
1.18
1.20
1.22
1.24
1.26
1.28
1.30
1.32
1.34
1.36
1.38
1.40
1.42
1.44
1.46
1.48
1.50
1.52
1.54
1.56
1.58
1.60
0.8815
0.8763
0.8711
0.8659
0.8606
0.8552
0.8498
0.8444
0.8389
0.8333
0.8278
0.8222
0.8165
0.8108
0.8052
0.7994
0.7937
0.7879
0.7822
0.7764
0.7706
0.7648
0.7590
0.7532
0.7474
0.7416
0.7358
0.7300
0.7242
0.7184
0.7126
0.7069
0.7011
0.6954
0.6897
0.6840
0.6783
0.6726
0.6670
0.6614
0.6430
0.6300
0.6170
0.6041
0.5913
0.5785
0.5658
0.5532
0.5407
0.5283
0.5160
0.5039
0.4919
0.4800
0.4684
0.4568
0.4455
0.4343
0.4232
0.4124
0.4017
0.3912
0.3809
0.3708
0.3609
0.3512
0.3417
0.3323
0.3232
0.3142
0.3055
0.2969
0.2886
0.2804
0.2724
0.2646
0.2570
0.2496
0.2423
0.2353
1.0305
1.0237
1.0179
1.0129
1.0089
1.0056
1.0031
1.0014
1.0003
1.0000
1.0003
1.0013
1.0029
1.0051
1.0079
1.0113
1.0153
1.0198
1.0248
1.0304
1.0366
1.0432
1.0504
1.0581
1.0663
1.0750
1.0842
1.0940
1.1042
1.1149
1.1262
1.1379
1.1501
1.1629
1.1762
1.1899
1.2042
1.2190
1.2344
1.2502
0.6626
0.6449
0.6281
0.6119
0.5965
0.5817
0.5675
0.5539
0.5409
0.5283
0.5162
0.5045
0.4933
0.4825
0.4721
0.4620
0.4523
0.4428
0.4337
0.4249
0.4164
0.4081
0.4001
0.3924
0.3848
0.3775
0.3704
0.3636
0.3569
0.3504
0.3440
0.3379
0.3319
0.3261
0.3204
0.3149
0.3095
0.3042
0.2991
0.2941
90.000
78.635
74.058
70.630
67.808
65.380
63.234
61.306
59.550
57.936
56.443
55.052
53.751
52.528
51.375
50.285
49.251
48.268
47.332
46.439
45.585
44.767
43.983
43.230
42.507
41.810
41.140
40.493
39.868
39.265
38.682
0.000
0.126
0.351
0.637
0.968
1.336
1.735
2.160
2.607
3.074
3.558
4.057
4.569
5.093
5.627
6.170
6.721
7.279
7.844
8.413
8.987
9.565
10.146
10.731
11.317
11.905
12.495
13.086
13.677
14.269
14.860
1.62
1.64
1.66
1.68
1.70
1.72
1.74
1.76
1.78
1.80
1.82
1.84
1.86
1.88
1.90
1.92
1.94
1.96
1.98
2.00
2.02
2.04
2.06
2.08
2.10
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26
2.28
2.30
2.32
2.34
2.36
2.38
2.40
0.6558
0.6502
0.6447
0.6392
0.6337
0.6283
0.6229
0.6175
0.6121
0.6068
0.6015
0.5963
0.5910
0.5859
0.5807
0.5756
0.5705
0.5655
0.5605
0.5556
0.5506
0.5458
0.5409
0.5361
0.5313
0.5266
0.5219
0.5173
0.5127
0.5081
0.5036
0.4991
0.4947
0.4903
0.4859
0.4816
0.4773
0.4731
0.4688
0.4647
0.2284
0.2217
0.2151
0.2088
0.2026
0.1966
0.1907
0.1850
0.1794
0.1740
0.1688
0.1637
0.1587
0.1539
0.1492
0.1447
0.1403
0.1360
0.1318
0.1278
0.1239
0.1201
0.1164
0.1128
0.1094
0.1060
0.1027
0.0996
0.0965
0.0935
0.0906
0.0878
0.0851
0.0825
0.0800
0.0775
0.0751
0.0728
0.0706
0.0684
1.2666
1.2836
1.3010
1.3190
1.3376
1.3567
1.3764
1.3967
1.4175
1.4390
1.4610
1.4836
1.5069
1.5308
1.5553
1.5804
1.6062
1.6326
1.6597
1.6875
1.7160
1.7451
1.7750
1.8056
1.8369
1.8690
1.9018
1.9354
1.9698
2.0050
2.0409
2.0777
2.1153
2.1538
2.1931
2.2333
2.2744
2.3164
2.3593
2.4031
0.2893
0.2845
0.2799
0.2754
0.2710
0.2667
0.2625
0.2584
0.2544
0.2504
0.2466
0.2429
0.2392
0.2356
0.2321
0.2287
0.2253
0.2220
0.2188
0.2157
0.2126
0.2096
0.2066
0.2037
0.2009
0.1981
0.1954
0.1927
0.1901
0.1875
0.1850
0.1825
0.1801
0.1777
0.1754
0.1731
0.1709
0.1687
0.1665
0.1644
38.118
37.572
37.043
36.530
36.032
35.549
35.080
34.624
34.180
33.749
33.329
32.921
32.523
32.135
31.757
31.388
31.028
30.677
30.335
30.000
29.673
29.353
29.041
28.736
28.437
28.145
27.859
27.578
27.304
27.036
26.773
26.515
26.262
26.014
25.771
25.533
25.300
25.070
24.845
24.624
15.452
16.043
16.633
17.222
17.810
18.396
18.981
19.565
20.146
20.725
21.302
21.877
22.449
23.019
23.586
24.151
24.712
25.271
25.827
26.380
26.930
27.476
28.020
28.560
29.097
29.631
30.161
30.688
31.212
31.732
32.249
32.763
33.273
33.780
34.283
34.782
35.279
35.771
36.261
36.747
Gas Tables (ver. 2.0), IIST
1 / 12
Table A.2: Isentropic flow properties for γ = 1.4
M
T/T0
P/P0
A/A∗
PA/P0 A∗
µ
ν
M
T/T0
P/P0
A/A∗
PA/P0 A∗
µ
ν
M
T/T0
P/P0
A/A∗
PA/P0 A∗
µ
ν
2.42
2.44
2.46
2.48
2.50
2.52
2.54
2.56
2.58
2.60
2.62
2.64
2.66
2.68
2.70
2.72
2.74
2.76
2.78
2.80
2.82
2.84
2.86
2.88
2.90
2.92
2.94
2.96
2.98
3.00
3.02
3.04
3.06
3.08
3.10
3.12
3.14
3.16
3.18
3.20
0.4606
0.4565
0.4524
0.4484
0.4444
0.4405
0.4366
0.4328
0.4289
0.4252
0.4214
0.4177
0.4141
0.4104
0.4068
0.4033
0.3998
0.3963
0.3928
0.3894
0.3860
0.3827
0.3794
0.3761
0.3729
0.3696
0.3665
0.3633
0.3602
0.3571
0.3541
0.3511
0.3481
0.3452
0.3422
0.3393
0.3365
0.3337
0.3309
0.3281
0.0663
0.0643
0.0623
0.0604
0.0585
0.0567
0.0550
0.0533
0.0517
0.0501
0.0486
0.0471
0.0457
0.0443
0.0430
0.0417
0.0404
0.0392
0.0380
0.0368
0.0357
0.0347
0.0336
0.0326
0.0317
0.0307
0.0298
0.0289
0.0281
0.0272
0.0264
0.0256
0.0249
0.0242
0.0234
0.0228
0.0221
0.0215
0.0208
0.0202
2.4479
2.4936
2.5403
2.5880
2.6367
2.6865
2.7372
2.7891
2.8420
2.8960
2.9511
3.0073
3.0647
3.1233
3.1830
3.2440
3.3061
3.3695
3.4342
3.5001
3.5674
3.6359
3.7058
3.7771
3.8498
3.9238
3.9993
4.0763
4.1547
4.2346
4.3160
4.3989
4.4835
4.5696
4.6573
4.7467
4.8377
4.9304
5.0248
5.1210
0.1623
0.1602
0.1582
0.1563
0.1543
0.1524
0.1505
0.1487
0.1469
0.1451
0.1434
0.1417
0.1400
0.1383
0.1367
0.1351
0.1335
0.1320
0.1305
0.1290
0.1275
0.1261
0.1246
0.1232
0.1219
0.1205
0.1192
0.1178
0.1166
0.1153
0.1140
0.1128
0.1116
0.1104
0.1092
0.1080
0.1069
0.1058
0.1047
0.1036
24.407
24.195
23.985
23.780
23.578
23.380
23.185
22.993
22.805
22.620
22.438
22.259
22.082
21.909
21.738
21.571
21.405
21.243
21.083
20.925
20.770
20.617
20.466
20.318
20.171
20.027
19.885
19.745
19.607
19.471
19.337
19.205
19.075
18.946
18.819
18.694
18.571
18.449
18.329
18.210
37.229
37.708
38.183
38.655
39.124
39.589
40.050
40.508
40.963
41.415
41.863
42.307
42.749
43.187
43.621
44.053
44.481
44.906
45.327
45.746
46.161
46.573
46.982
47.388
47.790
48.190
48.586
48.980
49.370
49.757
50.142
50.523
50.902
51.277
51.650
52.020
52.386
52.751
53.112
53.470
3.22
3.24
3.26
3.28
3.30
3.32
3.34
3.36
3.38
3.40
3.42
3.44
3.46
3.48
3.50
3.52
3.54
3.56
3.58
3.60
3.62
3.64
3.66
3.68
3.70
3.72
3.74
3.76
3.78
3.80
3.82
3.84
3.86
3.88
3.90
3.92
3.94
3.96
3.98
4.00
0.3253
0.3226
0.3199
0.3173
0.3147
0.3121
0.3095
0.3069
0.3044
0.3019
0.2995
0.2970
0.2946
0.2922
0.2899
0.2875
0.2852
0.2829
0.2806
0.2784
0.2762
0.2740
0.2718
0.2697
0.2675
0.2654
0.2633
0.2613
0.2592
0.2572
0.2552
0.2532
0.2513
0.2493
0.2474
0.2455
0.2436
0.2418
0.2399
0.2381
0.0196
0.0191
0.0185
0.0180
0.0175
0.0170
0.0165
0.0160
0.0156
0.0151
0.0147
0.0143
0.0139
0.0135
0.0131
0.0127
0.0124
0.0120
0.0117
0.0114
0.0111
0.0108
0.0105
0.0102
0.0099
0.0096
0.0094
0.0091
0.0089
0.0086
0.0084
0.0082
0.0080
0.0077
0.0075
0.0073
0.0071
0.0069
0.0068
0.0066
5.2189
5.3186
5.4201
5.5234
5.6286
5.7358
5.8448
5.9558
6.0687
6.1837
6.3007
6.4198
6.5409
6.6642
6.7896
6.9172
7.0471
7.1791
7.3135
7.4501
7.5891
7.7305
7.8742
8.0204
8.1691
8.3202
8.4739
8.6302
8.7891
8.9506
9.1148
9.2817
9.4513
9.6237
9.7990
9.9771
10.1581
10.3420
10.5289
10.7188
0.1025
0.1015
0.1004
0.0994
0.0984
0.0974
0.0964
0.0954
0.0945
0.0935
0.0926
0.0917
0.0908
0.0899
0.0890
0.0882
0.0873
0.0865
0.0856
0.0848
0.0840
0.0832
0.0824
0.0817
0.0809
0.0801
0.0794
0.0787
0.0779
0.0772
0.0765
0.0758
0.0752
0.0745
0.0738
0.0731
0.0725
0.0719
0.0712
0.0706
18.093
17.977
17.863
17.751
17.640
17.530
17.422
17.315
17.209
17.105
17.002
16.900
16.799
16.700
16.602
16.505
16.409
16.314
16.220
16.128
16.036
15.946
15.856
15.768
15.680
15.594
15.508
15.424
15.340
15.258
15.176
15.095
15.015
14.936
14.857
14.780
14.703
14.627
14.552
14.478
53.826
54.179
54.529
54.877
55.222
55.564
55.904
56.241
56.576
56.908
57.237
57.564
57.888
58.210
58.530
58.847
59.162
59.474
59.784
60.091
60.397
60.700
61.001
61.299
61.595
61.889
62.181
62.471
62.758
63.044
63.327
63.608
63.887
64.164
64.440
64.713
64.984
65.253
65.520
65.785
4.02
4.04
4.06
4.08
4.10
4.12
4.14
4.16
4.18
4.20
4.22
4.24
4.26
4.28
4.30
4.32
4.34
4.36
4.38
4.40
4.42
4.44
4.46
4.48
4.50
4.52
4.54
4.56
4.58
4.60
4.62
4.64
4.66
4.68
4.70
4.72
4.74
4.76
4.78
4.80
0.2363
0.2345
0.2327
0.2310
0.2293
0.2275
0.2258
0.2242
0.2225
0.2208
0.2192
0.2176
0.2160
0.2144
0.2129
0.2113
0.2098
0.2083
0.2067
0.2053
0.2038
0.2023
0.2009
0.1994
0.1980
0.1966
0.1952
0.1938
0.1925
0.1911
0.1898
0.1885
0.1872
0.1859
0.1846
0.1833
0.1820
0.1808
0.1795
0.1783
0.0064
0.0062
0.0061
0.0059
0.0058
0.0056
0.0055
0.0053
0.0052
0.0051
0.0049
0.0048
0.0047
0.0046
0.0044
0.0043
0.0042
0.0041
0.0040
0.0039
0.0038
0.0037
0.0036
0.0035
0.0035
0.0034
0.0033
0.0032
0.0031
0.0031
0.0030
0.0029
0.0028
0.0028
0.0027
0.0026
0.0026
0.0025
0.0025
0.0024
10.9117
11.1077
11.3068
11.5091
11.7147
11.9234
12.1354
12.3508
12.5695
12.7916
13.0172
13.2463
13.4789
13.7151
13.9549
14.1984
14.4456
14.6965
14.9513
15.2099
15.4724
15.7388
16.0092
16.2837
16.5622
16.8449
17.1317
17.4228
17.7181
18.0178
18.3218
18.6303
18.9433
19.2608
19.5828
19.9095
20.2409
20.5770
20.9179
21.2637
0.0700
0.0694
0.0688
0.0682
0.0676
0.0670
0.0664
0.0659
0.0653
0.0648
0.0642
0.0637
0.0631
0.0626
0.0621
0.0616
0.0611
0.0606
0.0601
0.0596
0.0591
0.0586
0.0582
0.0577
0.0572
0.0568
0.0563
0.0559
0.0554
0.0550
0.0546
0.0541
0.0537
0.0533
0.0529
0.0525
0.0521
0.0517
0.0513
0.0509
14.404
14.331
14.259
14.188
14.117
14.047
13.978
13.909
13.841
13.774
13.708
13.642
13.576
13.512
13.448
13.384
13.321
13.259
13.198
13.137
13.076
13.016
12.957
12.898
12.840
12.782
12.725
12.668
12.612
12.556
12.501
12.446
12.392
12.338
12.284
12.232
12.179
12.127
12.076
12.025
66.048
66.309
66.569
66.826
67.082
67.336
67.588
67.838
68.087
68.333
68.578
68.821
69.063
69.303
69.541
69.777
70.012
70.245
70.476
70.706
70.934
71.161
71.386
71.610
71.832
72.052
72.271
72.489
72.705
72.919
73.132
73.344
73.554
73.763
73.970
74.176
74.381
74.584
74.786
74.986
Gas Tables (ver. 2.0), IIST
2 / 12
B | Normal shock tables
Table B.1: Normal shock wave properties for γ = 1.4
M1
M2
T2 /T1
P2 /P1
P02 /P01
P02 /P1
∆V/a1
M1
M2
T2 /T1
P2 /P1
P02 /P01
P02 /P1
∆V/a1
M1
M2
T2 /T1
P2 /P1
P02 /P01
P02 /P1
∆V/a1
1.02
1.04
1.06
1.08
1.10
1.12
1.14
1.16
1.18
1.20
1.22
1.24
1.26
1.28
1.30
1.32
1.34
1.36
1.38
1.40
1.42
1.44
1.46
1.48
1.50
1.52
1.54
1.56
1.58
1.60
1.62
1.64
1.66
1.68
1.70
1.72
1.74
1.76
1.78
1.80
0.9805
0.9620
0.9444
0.9277
0.9118
0.8966
0.8820
0.8682
0.8549
0.8422
0.8300
0.8183
0.8071
0.7963
0.7860
0.7760
0.7664
0.7572
0.7483
0.7397
0.7314
0.7235
0.7157
0.7083
0.7011
0.6941
0.6874
0.6809
0.6746
0.6684
0.6625
0.6568
0.6512
0.6458
0.6405
0.6355
0.6305
0.6257
0.6210
0.6165
1.0132
1.0263
1.0393
1.0522
1.0649
1.0776
1.0903
1.1029
1.1154
1.1280
1.1405
1.1531
1.1657
1.1783
1.1909
1.2035
1.2162
1.2290
1.2418
1.2547
1.2676
1.2807
1.2938
1.3069
1.3202
1.3336
1.3470
1.3606
1.3742
1.3880
1.4018
1.4158
1.4299
1.4440
1.4583
1.4727
1.4873
1.5019
1.5167
1.5316
1.0471
1.0952
1.1442
1.1941
1.2450
1.2968
1.3495
1.4032
1.4578
1.5133
1.5698
1.6272
1.6855
1.7448
1.8050
1.8661
1.9282
1.9912
2.0551
2.1200
2.1858
2.2525
2.3202
2.3888
2.4583
2.5288
2.6002
2.6725
2.7458
2.8200
2.8951
2.9712
3.0482
3.1261
3.2050
3.2848
3.3655
3.4472
3.5298
3.6133
1.0000
0.9999
0.9998
0.9994
0.9989
0.9982
0.9973
0.9961
0.9946
0.9928
0.9907
0.9884
0.9857
0.9827
0.9794
0.9758
0.9718
0.9676
0.9630
0.9582
0.9531
0.9476
0.9420
0.9360
0.9298
0.9233
0.9166
0.9097
0.9026
0.8952
0.8877
0.8799
0.8720
0.8639
0.8557
0.8474
0.8389
0.8302
0.8215
0.8127
1.9379
1.9844
2.0325
2.0819
2.1328
2.1851
2.2388
2.2937
2.3500
2.4075
2.4663
2.5263
2.5875
2.6500
2.7136
2.7784
2.8444
2.9115
2.9798
3.0492
3.1198
3.1915
3.2643
3.3382
3.4133
3.4894
3.5667
3.6450
3.7244
3.8050
3.8866
3.9693
4.0531
4.1379
4.2238
4.3108
4.3989
4.4880
4.5782
4.6695
0.033
0.065
0.097
0.128
0.159
0.189
0.219
0.248
0.277
0.306
0.334
0.361
0.389
0.416
0.442
0.469
0.495
0.521
0.546
0.571
0.596
0.621
0.646
0.670
0.694
0.718
0.742
0.766
0.789
0.813
0.836
0.859
0.881
0.904
0.926
0.949
0.971
0.993
1.015
1.037
1.82
1.84
1.86
1.88
1.90
1.92
1.94
1.96
1.98
2.00
2.02
2.04
2.06
2.08
2.10
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26
2.28
2.30
2.32
2.34
2.36
2.38
2.40
2.42
2.44
2.46
2.48
2.50
2.52
2.54
2.56
2.58
2.60
0.6121
0.6078
0.6036
0.5996
0.5956
0.5918
0.5880
0.5844
0.5808
0.5774
0.5740
0.5707
0.5675
0.5643
0.5613
0.5583
0.5554
0.5525
0.5498
0.5471
0.5444
0.5418
0.5393
0.5368
0.5344
0.5321
0.5297
0.5275
0.5253
0.5231
0.5210
0.5189
0.5169
0.5149
0.5130
0.5111
0.5092
0.5074
0.5056
0.5039
1.5466
1.5617
1.5770
1.5924
1.6079
1.6236
1.6394
1.6553
1.6713
1.6875
1.7038
1.7203
1.7369
1.7536
1.7705
1.7875
1.8046
1.8219
1.8393
1.8569
1.8746
1.8924
1.9104
1.9285
1.9468
1.9652
1.9838
2.0025
2.0213
2.0403
2.0595
2.0788
2.0982
2.1178
2.1375
2.1574
2.1774
2.1976
2.2179
2.2383
3.6978
3.7832
3.8695
3.9568
4.0450
4.1341
4.2242
4.3152
4.4071
4.5000
4.5938
4.6885
4.7842
4.8808
4.9783
5.0768
5.1762
5.2765
5.3778
5.4800
5.5831
5.6872
5.7922
5.8981
6.0050
6.1128
6.2215
6.3312
6.4418
6.5533
6.6658
6.7792
6.8935
7.0088
7.1250
7.2421
7.3602
7.4792
7.5991
7.7200
0.8038
0.7948
0.7857
0.7765
0.7674
0.7581
0.7488
0.7395
0.7302
0.7209
0.7115
0.7022
0.6928
0.6835
0.6742
0.6649
0.6557
0.6464
0.6373
0.6281
0.6191
0.6100
0.6011
0.5921
0.5833
0.5745
0.5658
0.5572
0.5486
0.5401
0.5317
0.5234
0.5152
0.5071
0.4990
0.4911
0.4832
0.4754
0.4677
0.4601
4.7618
4.8552
4.9497
5.0452
5.1418
5.2394
5.3381
5.4378
5.5386
5.6404
5.7433
5.8473
5.9523
6.0583
6.1654
6.2735
6.3827
6.4929
6.6042
6.7165
6.8298
6.9442
7.0597
7.1762
7.2937
7.4122
7.5319
7.6525
7.7742
7.8969
8.0207
8.1455
8.2713
8.3982
8.5261
8.6551
8.7851
8.9161
9.0482
9.1813
1.059
1.080
1.102
1.123
1.145
1.166
1.187
1.208
1.229
1.250
1.271
1.292
1.312
1.333
1.353
1.374
1.394
1.414
1.434
1.455
1.475
1.495
1.515
1.535
1.554
1.574
1.594
1.614
1.633
1.653
1.672
1.692
1.711
1.731
1.750
1.769
1.789
1.808
1.827
1.846
2.62
2.64
2.66
2.68
2.70
2.72
2.74
2.76
2.78
2.80
2.82
2.84
2.86
2.88
2.90
2.92
2.94
2.96
2.98
3.00
3.02
3.04
3.06
3.08
3.10
3.12
3.14
3.16
3.18
3.20
3.22
3.24
3.26
3.28
3.30
3.32
3.34
3.36
3.38
3.40
0.5022
0.5005
0.4988
0.4972
0.4956
0.4941
0.4926
0.4911
0.4896
0.4882
0.4868
0.4854
0.4840
0.4827
0.4814
0.4801
0.4788
0.4776
0.4764
0.4752
0.4740
0.4729
0.4717
0.4706
0.4695
0.4685
0.4674
0.4664
0.4654
0.4643
0.4634
0.4624
0.4614
0.4605
0.4596
0.4587
0.4578
0.4569
0.4560
0.4552
2.2590
2.2797
2.3006
2.3217
2.3429
2.3642
2.3858
2.4074
2.4292
2.4512
2.4733
2.4955
2.5179
2.5405
2.5632
2.5861
2.6091
2.6322
2.6555
2.6790
2.7026
2.7264
2.7503
2.7744
2.7986
2.8230
2.8475
2.8722
2.8970
2.9220
2.9471
2.9724
2.9979
3.0234
3.0492
3.0751
3.1011
3.1273
3.1537
3.1802
7.8418
7.9645
8.0882
8.2128
8.3383
8.4648
8.5922
8.7205
8.8498
8.9800
9.1111
9.2432
9.3762
9.5101
9.6450
9.7808
9.9175
10.0552
10.1938
10.3333
10.4738
10.6152
10.7575
10.9008
11.0450
11.1901
11.3362
11.4832
11.6311
11.7800
11.9298
12.0805
12.2322
12.3848
12.5383
12.6928
12.8482
13.0045
13.1618
13.3200
0.4526
0.4452
0.4379
0.4307
0.4236
0.4166
0.4097
0.4028
0.3961
0.3895
0.3829
0.3765
0.3701
0.3639
0.3577
0.3517
0.3457
0.3398
0.3340
0.3283
0.3227
0.3172
0.3118
0.3065
0.3012
0.2960
0.2910
0.2860
0.2811
0.2762
0.2715
0.2668
0.2622
0.2577
0.2533
0.2489
0.2446
0.2404
0.2363
0.2322
9.3155
9.4506
9.5869
9.7241
9.8624
10.0017
10.1421
10.2835
10.4259
10.5694
10.7139
10.8594
11.0060
11.1536
11.3022
11.4519
11.6026
11.7544
11.9072
12.0610
12.2158
12.3717
12.5286
12.6865
12.8455
13.0055
13.1666
13.3287
13.4918
13.6559
13.8211
13.9873
14.1546
14.3228
14.4921
14.6625
14.8339
15.0063
15.1797
15.3542
1.865
1.884
1.903
1.922
1.941
1.960
1.979
1.998
2.017
2.036
2.054
2.073
2.092
2.111
2.129
2.148
2.167
2.185
2.204
2.222
2.241
2.259
2.278
2.296
2.315
2.333
2.351
2.370
2.388
2.406
2.425
2.443
2.461
2.479
2.497
2.516
2.534
2.552
2.570
2.588
Gas Tables (ver. 2.0), IIST
3 / 12
Table B.2: Normal shock wave properties for γ = 1.4
M1
M2
T2 /T1
P2 /P1
P02 /P01
P02 /P1
∆V/a1
M1
M2
T2 /T1
P2 /P1
P02 /P01
P02 /P1
∆V/a1
M1
M2
T2 /T1
P2 /P1
P02 /P01
P02 /P1
∆V/a1
3.42
3.44
3.46
3.48
3.50
3.52
3.54
3.56
3.58
3.60
3.62
3.64
3.66
3.68
3.70
3.72
3.74
3.76
3.78
3.80
3.82
3.84
3.86
3.88
3.90
3.92
3.94
3.96
3.98
4.00
4.02
4.04
4.06
4.08
4.10
4.12
4.14
4.16
4.18
4.20
0.4544
0.4535
0.4527
0.4519
0.4512
0.4504
0.4496
0.4489
0.4481
0.4474
0.4467
0.4460
0.4453
0.4446
0.4439
0.4433
0.4426
0.4420
0.4414
0.4407
0.4401
0.4395
0.4389
0.4383
0.4377
0.4372
0.4366
0.4360
0.4355
0.4350
0.4344
0.4339
0.4334
0.4329
0.4324
0.4319
0.4314
0.4309
0.4304
0.4299
3.2069
3.2337
3.2607
3.2878
3.3151
3.3425
3.3701
3.3978
3.4257
3.4537
3.4819
3.5103
3.5388
3.5674
3.5962
3.6252
3.6543
3.6836
3.7130
3.7426
3.7723
3.8022
3.8323
3.8625
3.8928
3.9233
3.9540
3.9848
4.0158
4.0469
4.0782
4.1096
4.1412
4.1729
4.2048
4.2368
4.2690
4.3014
4.3339
4.3666
13.4791
13.6392
13.8002
13.9621
14.1250
14.2888
14.4535
14.6192
14.7858
14.9533
15.1218
15.2912
15.4615
15.6328
15.8050
15.9781
16.1522
16.3272
16.5031
16.6800
16.8578
17.0365
17.2162
17.3968
17.5783
17.7608
17.9442
18.1285
18.3138
18.5000
18.6871
18.8752
19.0642
19.2541
19.4450
19.6368
19.8295
20.0232
20.2178
20.4133
0.2282
0.2243
0.2205
0.2167
0.2129
0.2093
0.2057
0.2022
0.1987
0.1953
0.1920
0.1887
0.1855
0.1823
0.1792
0.1761
0.1731
0.1702
0.1673
0.1645
0.1617
0.1589
0.1563
0.1536
0.1510
0.1485
0.1460
0.1435
0.1411
0.1388
0.1364
0.1342
0.1319
0.1297
0.1276
0.1254
0.1234
0.1213
0.1193
0.1173
15.5297
15.7062
15.8838
16.0624
16.2420
16.4227
16.6044
16.7871
16.9708
17.1556
17.3415
17.5283
17.7162
17.9051
18.0951
18.2860
18.4781
18.6711
18.8652
19.0603
19.2564
19.4536
19.6518
19.8510
20.0513
20.2526
20.4549
20.6583
20.8627
21.0681
21.2745
21.4820
21.6905
21.9001
22.1106
22.3223
22.5349
22.7486
22.9633
23.1790
2.606
2.624
2.642
2.661
2.679
2.697
2.715
2.733
2.751
2.769
2.786
2.804
2.822
2.840
2.858
2.876
2.894
2.912
2.930
2.947
2.965
2.983
3.001
3.019
3.036
3.054
3.072
3.090
3.107
3.125
3.143
3.160
3.178
3.196
3.213
3.231
3.249
3.266
3.284
3.302
4.22
4.24
4.26
4.28
4.30
4.32
4.34
4.36
4.38
4.40
4.42
4.44
4.46
4.48
4.50
4.52
4.54
4.56
4.58
4.60
4.62
4.64
4.66
4.68
4.70
4.72
4.74
4.76
4.78
4.80
4.82
4.84
4.86
4.88
4.90
4.92
4.94
4.96
4.98
5.00
0.4295
0.4290
0.4286
0.4281
0.4277
0.4272
0.4268
0.4264
0.4260
0.4255
0.4251
0.4247
0.4243
0.4239
0.4236
0.4232
0.4228
0.4224
0.4220
0.4217
0.4213
0.4210
0.4206
0.4203
0.4199
0.4196
0.4192
0.4189
0.4186
0.4183
0.4179
0.4176
0.4173
0.4170
0.4167
0.4164
0.4161
0.4158
0.4155
0.4152
4.3994
4.4324
4.4655
4.4988
4.5322
4.5658
4.5995
4.6334
4.6675
4.7017
4.7361
4.7706
4.8053
4.8401
4.8751
4.9102
4.9455
4.9810
5.0166
5.0523
5.0882
5.1243
5.1605
5.1969
5.2334
5.2701
5.3070
5.3440
5.3811
5.4184
5.4559
5.4935
5.5313
5.5692
5.6073
5.6455
5.6839
5.7224
5.7611
5.8000
20.6098
20.8072
21.0055
21.2048
21.4050
21.6061
21.8082
22.0112
22.2151
22.4200
22.6258
22.8325
23.0402
23.2488
23.4583
23.6688
23.8802
24.0925
24.3058
24.5200
24.7351
24.9512
25.1682
25.3861
25.6050
25.8248
26.0455
26.2672
26.4898
26.7133
26.9378
27.1632
27.3895
27.6168
27.8450
28.0741
28.3042
28.5352
28.7671
29.0000
0.1154
0.1135
0.1116
0.1098
0.1080
0.1062
0.1045
0.1028
0.1011
0.0995
0.0979
0.0963
0.0947
0.0932
0.0917
0.0902
0.0888
0.0874
0.0860
0.0846
0.0832
0.0819
0.0806
0.0793
0.0781
0.0769
0.0756
0.0745
0.0733
0.0721
0.0710
0.0699
0.0688
0.0677
0.0667
0.0657
0.0647
0.0637
0.0627
0.0617
23.3958
23.6135
23.8324
24.0522
24.2731
24.4950
24.7180
24.9420
25.1670
25.3930
25.6201
25.8482
26.0773
26.3075
26.5387
26.7709
27.0041
27.2384
27.4737
27.7101
27.9475
28.1859
28.4253
28.6658
28.9073
29.1498
29.3934
29.6380
29.8836
30.1303
30.3779
30.6267
30.8764
31.1272
31.3790
31.6318
31.8857
32.1406
32.3965
32.6535
3.319
3.337
3.354
3.372
3.390
3.407
3.425
3.442
3.460
3.477
3.495
3.512
3.530
3.547
3.565
3.582
3.600
3.617
3.635
3.652
3.670
3.687
3.705
3.722
3.739
3.757
3.774
3.792
3.809
3.826
3.844
3.861
3.879
3.896
3.913
3.931
3.948
3.965
3.983
4.000
5.02
5.04
5.06
5.08
5.10
5.12
5.14
5.16
5.18
5.20
5.22
5.24
5.26
5.28
5.30
5.32
5.34
5.36
5.38
5.40
5.42
5.44
5.46
5.48
5.50
5.52
5.54
5.56
5.58
5.60
5.62
5.64
5.66
5.68
5.70
5.72
5.74
5.76
5.78
5.80
0.4149
0.4147
0.4144
0.4141
0.4138
0.4136
0.4133
0.4130
0.4128
0.4125
0.4123
0.4120
0.4118
0.4115
0.4113
0.4110
0.4108
0.4106
0.4103
0.4101
0.4099
0.4096
0.4094
0.4092
0.4090
0.4088
0.4085
0.4083
0.4081
0.4079
0.4077
0.4075
0.4073
0.4071
0.4069
0.4067
0.4065
0.4063
0.4061
0.4059
5.8390
5.8782
5.9175
5.9570
5.9966
6.0364
6.0763
6.1164
6.1567
6.1971
6.2376
6.2784
6.3192
6.3603
6.4014
6.4428
6.4843
6.5259
6.5677
6.6097
6.6518
6.6941
6.7365
6.7791
6.8218
6.8647
6.9077
6.9509
6.9943
7.0378
7.0815
7.1253
7.1693
7.2134
7.2577
7.3021
7.3467
7.3915
7.4364
7.4814
29.2338
29.4685
29.7042
29.9408
30.1783
30.4168
30.6562
30.8965
31.1378
31.3800
31.6231
31.8672
32.1122
32.3581
32.6050
32.8528
33.1015
33.3512
33.6018
33.8533
34.1058
34.3592
34.6135
34.8688
35.1250
35.3821
35.6402
35.8992
36.1591
36.4200
36.6818
36.9445
37.2082
37.4728
37.7383
38.0048
38.2722
38.5405
38.8098
39.0800
0.0608
0.0598
0.0589
0.0580
0.0572
0.0563
0.0554
0.0546
0.0538
0.0530
0.0522
0.0514
0.0506
0.0499
0.0491
0.0484
0.0477
0.0470
0.0463
0.0456
0.0449
0.0443
0.0436
0.0430
0.0424
0.0417
0.0411
0.0405
0.0400
0.0394
0.0388
0.0383
0.0377
0.0372
0.0366
0.0361
0.0356
0.0351
0.0346
0.0341
32.9115
33.1705
33.4305
33.6916
33.9537
34.2169
34.4810
34.7462
35.0125
35.2797
35.5480
35.8174
36.0877
36.3591
36.6315
36.9050
37.1794
37.4550
37.7315
38.0091
38.2877
38.5673
38.8479
39.1296
39.4124
39.6961
39.9809
40.2667
40.5535
40.8414
41.1303
41.4202
41.7112
42.0032
42.2962
42.5903
42.8854
43.1815
43.4786
43.7768
4.017
4.035
4.052
4.069
4.087
4.104
4.121
4.139
4.156
4.173
4.190
4.208
4.225
4.242
4.259
4.277
4.294
4.311
4.328
4.346
4.363
4.380
4.397
4.415
4.432
4.449
4.466
4.483
4.501
4.518
4.535
4.552
4.569
4.587
4.604
4.621
4.638
4.655
4.672
4.690
Gas Tables (ver. 2.0), IIST
4 / 12
C | Weak oblique shock tables
Table C.1: Weak oblique shock wave angle (β) in degrees for γ = 1.4
Flow deflection angle (θ) in degrees
M1
1.12
1.14
1.16
1.18
1.20
1.22
1.24
1.26
1.28
1.30
1.32
1.34
1.36
1.38
1.40
1.42
1.44
1.46
1.48
1.50
1.52
1.54
1.56
1.58
1.60
1.62
1.64
1.66
1.68
1.70
1.72
1.74
1.76
1.78
1.80
1.82
1.84
1.86
1.88
1.90
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
45
68.71
65.56
63.11
61.05
59.24
57.60
56.12
54.75
53.47
52.28
51.17
50.11
49.12
48.17
47.27
46.42
45.60
44.82
44.06
43.34
42.65
41.99
41.34
40.72
40.13
39.55
38.99
38.45
37.93
37.42
36.93
36.45
35.99
35.54
35.10
34.68
34.26
33.86
33.47
66.03
63.15
60.93
59.06
57.42
55.95
54.60
53.36
52.20
51.12
50.10
49.14
48.23
47.37
46.54
45.76
45.01
44.29
43.59
42.93
42.29
41.68
41.08
40.51
39.96
39.42
38.90
38.40
37.91
37.44
36.99
36.54
36.11
35.69
35.28
67.38
63.46
61.03
59.09
57.43
55.96
54.63
53.42
52.29
51.24
50.25
49.33
48.45
47.62
46.82
46.07
45.34
44.65
43.99
43.35
42.74
42.14
41.57
41.02
40.49
39.98
39.48
39.00
38.53
38.08
37.64
37.21
64.29
61.43
59.37
57.67
56.19
54.87
53.68
52.57
51.55
50.59
49.69
48.84
48.03
47.26
46.53
45.84
45.17
44.53
43.91
43.32
42.75
42.20
41.67
41.16
40.67
40.19
39.72
39.27
62.31
59.98
58.19
56.68
55.35
54.16
53.06
52.05
51.12
50.23
49.41
48.62
47.88
47.17
46.49
45.84
45.22
44.63
44.06
43.51
42.98
42.46
41.97
41.49
64.36
61.10
59.08
57.47
56.10
54.89
53.79
52.79
51.85
50.98
50.17
49.40
48.67
47.98
47.32
46.69
46.08
45.50
44.95
44.41
43.90
63.38
60.54
58.69
57.20
55.93
54.79
53.77
52.83
51.96
51.15
50.38
49.66
48.98
48.33
47.71
47.12
46.55
63.58
60.60
58.79
57.36
56.14
55.06
54.09
53.20
52.37
51.60
50.88
50.19
49.54
61.42
59.46
57.99
56.78
55.71
54.76
53.90
53.10
60.91
59.21
57.90
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-
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Gas Tables (ver. 2.0), IIST
5 / 12
Table C.2: Weak oblique shock wave angle (β) in degrees for γ = 1.4
Flow deflection angle (θ) in degrees
M1
1.92
1.94
1.96
1.98
2.00
2.02
2.04
2.06
2.08
2.10
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26
2.28
2.30
2.32
2.34
2.36
2.38
2.40
2.42
2.44
2.46
2.48
2.50
2.52
2.54
2.56
2.58
2.60
2.62
2.64
2.66
2.68
2.70
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
45
33.08
32.71
32.35
31.99
31.65
31.31
30.98
30.66
30.34
30.03
29.73
29.44
29.15
28.87
28.59
28.32
28.06
27.80
27.54
27.29
27.05
26.81
26.58
26.35
26.12
25.90
25.68
25.47
25.26
25.05
24.85
24.65
24.45
24.26
24.07
23.89
23.70
23.52
23.35
23.17
34.88
34.49
34.12
33.75
33.39
33.04
32.70
32.37
32.04
31.72
31.41
31.11
30.81
30.52
30.24
29.96
29.69
29.42
29.16
28.91
28.66
28.41
28.17
27.93
27.70
27.48
27.25
27.03
26.82
26.61
26.40
26.20
26.00
25.80
25.61
25.42
25.24
25.05
24.87
24.70
36.79
36.39
36.00
35.61
35.24
34.88
34.52
34.18
33.84
33.51
33.19
32.88
32.57
32.27
31.98
31.69
31.42
31.14
30.87
30.61
30.35
30.10
29.86
29.61
29.38
29.14
28.92
28.69
28.47
28.26
28.05
27.84
27.64
27.44
27.24
27.05
26.86
26.67
26.49
26.31
38.84
38.41
38.00
37.60
37.21
36.83
36.46
36.10
35.75
35.41
35.08
34.76
34.44
34.13
33.83
33.53
33.24
32.96
32.69
32.42
32.15
31.89
31.64
31.39
31.15
30.91
30.68
30.45
30.23
30.01
29.79
29.58
29.37
29.17
28.97
28.77
28.58
28.39
28.20
28.02
41.03
40.58
40.14
39.72
39.31
38.92
38.53
38.15
37.79
37.43
37.09
36.75
36.42
36.10
35.79
35.48
35.18
34.89
34.60
34.33
34.05
33.79
33.53
33.27
33.02
32.78
32.54
32.31
32.08
31.85
31.63
31.41
31.20
30.99
30.79
30.59
30.39
30.20
30.01
29.82
43.40
42.92
42.46
42.01
41.58
41.15
40.75
40.35
39.97
39.59
39.23
38.87
38.53
38.20
37.87
37.55
37.24
36.94
36.64
36.35
36.07
35.80
35.53
35.26
35.01
34.76
34.51
34.27
34.03
33.80
33.58
33.35
33.14
32.92
32.71
32.51
32.31
32.11
31.92
31.73
46.01
45.48
44.98
44.50
44.03
43.58
43.14
42.72
42.31
41.91
41.53
41.15
40.79
40.44
40.09
39.76
39.44
39.12
38.81
38.51
38.22
37.93
37.65
37.38
37.11
36.85
36.60
36.35
36.10
35.87
35.63
35.41
35.18
34.96
34.75
34.54
34.33
34.13
33.93
33.74
48.93
48.34
47.78
47.25
46.73
46.24
45.76
45.30
44.86
44.43
44.02
43.62
43.23
42.85
42.49
42.14
41.79
41.46
41.13
40.82
40.51
40.21
39.91
39.63
39.35
39.08
38.82
38.56
38.30
38.06
37.82
37.58
37.35
37.12
36.90
36.68
36.47
36.26
36.06
35.86
52.35
51.65
51.00
50.37
49.79
49.22
48.69
48.17
47.68
47.21
46.75
46.32
45.89
45.49
45.09
44.71
44.34
43.98
43.64
43.30
42.97
42.65
42.34
42.04
41.75
41.46
41.18
40.91
40.65
40.39
40.14
39.89
39.65
39.41
39.19
38.96
38.74
38.53
38.32
38.11
56.80
55.83
54.96
54.16
53.42
52.74
52.09
51.49
50.91
50.36
49.84
49.35
48.87
48.41
47.98
47.55
47.15
46.75
46.37
46.01
45.65
45.31
44.97
44.65
44.34
44.03
43.73
43.45
43.16
42.89
42.62
42.36
42.11
41.86
41.62
41.39
41.16
40.93
40.71
40.50
61.49
59.74
58.46
57.39
56.46
55.63
54.87
54.17
53.52
52.91
52.34
51.79
51.28
50.79
50.32
49.87
49.44
49.03
48.63
48.25
47.88
47.52
47.17
46.84
46.52
46.20
45.90
45.60
45.31
45.04
44.76
44.50
44.24
43.99
43.75
43.51
43.28
43.05
61.28
59.77
58.62
57.65
56.81
56.05
55.36
54.72
54.12
53.56
53.03
52.54
52.06
51.61
51.18
50.77
50.37
49.99
49.62
49.27
48.93
48.60
48.28
47.97
47.67
47.38
47.10
46.83
46.56
46.31
46.05
45.81
62.70
60.85
59.63
58.65
57.82
57.08
56.41
55.79
55.22
54.69
54.18
53.71
53.26
52.83
52.43
52.04
51.66
51.30
50.96
50.63
50.31
50.00
49.70
49.41
49.12
48.85
61.97
60.65
59.66
58.83
58.11
57.47
56.88
56.33
55.83
55.36
54.91
54.49
54.09
53.71
53.34
52.99
52.66
52.33
64.27
62.05
60.94
60.08
59.35
58.72
58.14
57.62
57.14
56.69
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-
-
-
Gas Tables (ver. 2.0), IIST
6 / 12
Table C.3: Weak oblique shock wave angle (β) in degrees for γ = 1.4
Flow deflection angle (θ) in degrees
M1
2.72
2.74
2.76
2.78
2.80
2.82
2.84
2.86
2.88
2.90
2.92
2.94
2.96
2.98
3.00
3.02
3.04
3.06
3.08
3.10
3.12
3.14
3.16
3.18
3.20
3.22
3.24
3.26
3.28
3.30
3.32
3.34
3.36
3.38
3.40
3.42
3.44
3.46
3.48
3.50
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
45
23.00
22.83
22.67
22.50
22.34
22.19
22.03
21.88
21.73
21.58
21.43
21.29
21.15
21.00
20.87
20.73
20.60
20.46
20.33
20.20
20.08
19.95
19.83
19.71
19.59
19.47
19.35
19.24
19.12
19.01
18.90
18.79
18.68
18.57
18.47
18.36
18.26
18.16
18.06
17.96
24.52
24.35
24.18
24.02
23.85
23.69
23.54
23.38
23.23
23.08
22.93
22.78
22.64
22.49
22.35
22.22
22.08
21.95
21.81
21.68
21.56
21.43
21.30
21.18
21.06
20.94
20.82
20.70
20.59
20.48
20.36
20.25
20.14
20.03
19.93
19.82
19.72
19.62
19.52
19.42
26.13
25.96
25.79
25.62
25.45
25.29
25.13
24.97
24.82
24.67
24.52
24.37
24.22
24.08
23.94
23.80
23.66
23.52
23.39
23.26
23.13
23.00
22.87
22.75
22.63
22.51
22.39
22.27
22.15
22.04
21.93
21.81
21.70
21.60
21.49
21.38
21.28
21.17
21.07
20.97
27.84
27.66
27.49
27.32
27.15
26.98
26.82
26.66
26.50
26.35
26.20
26.05
25.90
25.75
25.61
25.47
25.33
25.19
25.06
24.93
24.80
24.67
24.54
24.42
24.29
24.17
24.05
23.93
23.81
23.70
23.59
23.47
23.36
23.25
23.15
23.04
22.94
22.83
22.73
22.63
29.64
29.46
29.28
29.11
28.94
28.77
28.61
28.45
28.29
28.13
27.98
27.82
27.67
27.53
27.38
27.24
27.10
26.96
26.83
26.69
26.56
26.43
26.30
26.18
26.05
25.93
25.81
25.69
25.57
25.46
25.34
25.23
25.12
25.01
24.90
24.80
24.69
24.59
24.48
24.38
31.54
31.36
31.18
31.00
30.83
30.66
30.49
30.33
30.17
30.01
29.85
29.70
29.55
29.40
29.25
29.11
28.97
28.83
28.69
28.55
28.42
28.29
28.16
28.03
27.91
27.79
27.66
27.54
27.43
27.31
27.20
27.08
26.97
26.86
26.75
26.65
26.54
26.44
26.34
26.24
33.55
33.36
33.18
33.00
32.82
32.65
32.48
32.31
32.15
31.99
31.83
31.67
31.52
31.37
31.22
31.07
30.93
30.79
30.65
30.51
30.38
30.25
30.12
29.99
29.86
29.74
29.62
29.50
29.38
29.26
29.15
29.03
28.92
28.81
28.70
28.60
28.49
28.39
28.28
28.18
35.67
35.48
35.29
35.10
34.92
34.75
34.57
34.40
34.23
34.07
33.91
33.75
33.59
33.44
33.29
33.14
33.00
32.85
32.71
32.57
32.44
32.30
32.17
32.04
31.92
31.79
31.67
31.55
31.43
31.31
31.19
31.08
30.97
30.86
30.75
30.64
30.53
30.43
30.33
30.22
37.91
37.71
37.52
37.33
37.14
36.96
36.78
36.60
36.43
36.26
36.10
35.94
35.78
35.62
35.47
35.32
35.17
35.02
34.88
34.74
34.60
34.46
34.33
34.20
34.07
33.94
33.82
33.70
33.58
33.46
33.34
33.22
33.11
33.00
32.89
32.78
32.67
32.57
32.47
32.36
40.29
40.08
39.88
39.68
39.49
39.30
39.12
38.94
38.76
38.58
38.41
38.25
38.08
37.92
37.76
37.61
37.46
37.31
37.16
37.02
36.88
36.74
36.60
36.47
36.34
36.21
36.08
35.95
35.83
35.71
35.59
35.47
35.36
35.25
35.13
35.02
34.92
34.81
34.71
34.60
42.83
42.61
42.40
42.19
41.99
41.79
41.60
41.41
41.23
41.04
40.87
40.69
40.52
40.36
40.19
40.03
39.87
39.72
39.57
39.42
39.27
39.13
38.99
38.85
38.72
38.59
38.46
38.33
38.20
38.08
37.96
37.84
37.72
37.60
37.49
37.38
37.27
37.16
37.05
36.95
45.57
45.34
45.11
44.89
44.68
44.47
44.26
44.06
43.86
43.67
43.48
43.30
43.12
42.95
42.78
42.61
42.44
42.28
42.12
41.97
41.82
41.67
41.52
41.38
41.24
41.10
40.96
40.83
40.70
40.57
40.45
40.32
40.20
40.08
39.97
39.85
39.74
39.63
39.52
39.41
48.59
48.33
48.08
47.84
47.60
47.38
47.15
46.93
46.72
46.51
46.31
46.12
45.92
45.73
45.55
45.37
45.20
45.02
44.86
44.69
44.53
44.37
44.22
44.07
43.92
43.77
43.63
43.49
43.36
43.22
43.09
42.96
42.83
42.71
42.59
42.47
42.35
42.23
42.12
42.01
52.02
51.72
51.44
51.16
50.89
50.62
50.37
50.13
49.89
49.65
49.43
49.21
49.00
48.79
48.59
48.39
48.20
48.01
47.83
47.65
47.47
47.30
47.13
46.97
46.81
46.65
46.50
46.35
46.21
46.06
45.92
45.78
45.65
45.52
45.39
45.26
45.13
45.01
44.89
44.77
56.26
55.87
55.49
55.13
54.79
54.46
54.14
53.84
53.55
53.27
53.00
52.74
52.49
52.25
52.01
51.79
51.56
51.35
51.14
50.93
50.74
50.54
50.36
50.17
49.99
49.82
49.65
49.48
49.32
49.16
49.01
48.86
48.71
48.56
48.42
48.28
48.15
48.01
47.88
47.76
63.25
62.00
61.14
60.43
59.83
59.29
58.80
58.35
57.93
57.54
57.17
56.83
56.50
56.18
55.88
55.60
55.32
55.06
54.80
54.55
54.32
54.09
53.87
53.65
53.44
53.24
53.04
52.85
52.67
52.49
52.31
52.14
51.97
51.81
51.65
51.50
51.34
51.20
51.05
63.67
62.58
61.83
61.21
60.68
60.21
59.78
59.38
59.02
58.67
58.35
58.05
57.76
57.48
57.22
56.96
56.72
56.49
56.26
56.05
55.84
55.64
55.44
55.25
55.07
54.89
63.82
63.02
62.42
61.91
61.48
61.09
60.73
60.40
60.09
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Gas Tables (ver. 2.0), IIST
7 / 12
Table C.4: Weak oblique shock wave angle (β) in degrees for γ = 1.4
Flow deflection angle (θ) in degrees
M1
3.52
3.54
3.56
3.58
3.60
3.62
3.64
3.66
3.68
3.70
3.72
3.74
3.76
3.78
3.80
3.82
3.84
3.86
3.88
3.90
3.92
3.94
3.96
3.98
4.00
4.02
4.04
4.06
4.08
4.10
4.12
4.14
4.16
4.18
4.20
4.22
4.24
4.26
4.28
4.30
2
4
6
8
10
12
14
16
18
20
22
24
26
28
30
32
34
36
38
40
42
44
45
17.86
17.76
17.67
17.57
17.48
17.39
17.29
17.20
17.12
17.03
16.94
16.85
16.77
16.68
16.60
16.52
16.44
16.35
16.27
16.20
16.12
16.04
15.96
15.89
15.81
15.74
15.66
15.59
15.52
15.45
15.38
15.31
15.24
15.17
15.10
15.04
14.97
14.90
14.84
14.77
19.32
19.22
19.12
19.03
18.93
18.84
18.75
18.66
18.57
18.48
18.39
18.30
18.22
18.13
18.05
17.97
17.88
17.80
17.72
17.64
17.56
17.49
17.41
17.33
17.26
17.18
17.11
17.04
16.96
16.89
16.82
16.75
16.68
16.61
16.55
16.48
16.41
16.35
16.28
16.22
20.87
20.77
20.68
20.58
20.49
20.39
20.30
20.21
20.12
20.03
19.94
19.86
19.77
19.69
19.60
19.52
19.44
19.36
19.28
19.20
19.12
19.04
18.96
18.89
18.81
18.74
18.66
18.59
18.52
18.45
18.38
18.31
18.24
18.17
18.10
18.04
17.97
17.90
17.84
17.78
22.53
22.43
22.33
22.24
22.14
22.05
21.96
21.87
21.78
21.69
21.60
21.51
21.43
21.34
21.26
21.18
21.09
21.01
20.93
20.85
20.78
20.70
20.62
20.55
20.47
20.40
20.32
20.25
20.18
20.11
20.04
19.97
19.90
19.83
19.77
19.70
19.64
19.57
19.51
19.44
24.28
24.19
24.09
23.99
23.90
23.81
23.71
23.62
23.53
23.44
23.36
23.27
23.18
23.10
23.02
22.93
22.85
22.77
22.69
22.61
22.54
22.46
22.38
22.31
22.23
22.16
22.09
22.02
21.95
21.88
21.81
21.74
21.67
21.60
21.54
21.47
21.41
21.34
21.28
21.22
26.14
26.04
25.94
25.85
25.75
25.66
25.57
25.47
25.39
25.30
25.21
25.12
25.04
24.95
24.87
24.79
24.71
24.63
24.55
24.47
24.39
24.32
24.24
24.17
24.09
24.02
23.95
23.88
23.81
23.74
23.67
23.60
23.54
23.47
23.41
23.34
23.28
23.21
23.15
23.09
28.08
27.98
27.89
27.79
27.70
27.60
27.51
27.42
27.33
27.25
27.16
27.07
26.99
26.90
26.82
26.74
26.66
26.58
26.50
26.42
26.35
26.27
26.20
26.12
26.05
25.98
25.91
25.84
25.77
25.70
25.63
25.56
25.50
25.43
25.37
25.30
25.24
25.18
25.12
25.06
30.12
30.03
29.93
29.83
29.74
29.65
29.55
29.46
29.38
29.29
29.20
29.11
29.03
28.95
28.86
28.78
28.70
28.62
28.55
28.47
28.39
28.32
28.24
28.17
28.10
28.03
27.96
27.89
27.82
27.75
27.68
27.62
27.55
27.49
27.42
27.36
27.30
27.23
27.17
27.11
32.26
32.16
32.07
31.97
31.88
31.78
31.69
31.60
31.51
31.42
31.34
31.25
31.17
31.08
31.00
30.92
30.84
30.76
30.68
30.61
30.53
30.45
30.38
30.31
30.24
30.16
30.09
30.03
29.96
29.89
29.82
29.76
29.69
29.63
29.56
29.50
29.44
29.38
29.32
29.26
34.50
34.40
34.30
34.21
34.11
34.02
33.92
33.83
33.74
33.65
33.57
33.48
33.40
33.31
33.23
33.15
33.07
32.99
32.91
32.83
32.76
32.68
32.61
32.54
32.46
32.39
32.32
32.25
32.19
32.12
32.05
31.99
31.92
31.86
31.79
31.73
31.67
31.61
31.55
31.49
36.84
36.74
36.64
36.54
36.45
36.35
36.26
36.17
36.07
35.99
35.90
35.81
35.72
35.64
35.56
35.47
35.39
35.31
35.23
35.16
35.08
35.01
34.93
34.86
34.79
34.71
34.64
34.57
34.51
34.44
34.37
34.31
34.24
34.18
34.11
34.05
33.99
33.93
33.87
33.81
39.30
39.20
39.10
39.00
38.90
38.80
38.70
38.61
38.52
38.43
38.34
38.25
38.16
38.07
37.99
37.91
37.82
37.74
37.66
37.58
37.51
37.43
37.35
37.28
37.21
37.14
37.06
36.99
36.92
36.86
36.79
36.72
36.66
36.59
36.53
36.47
36.40
36.34
36.28
36.22
41.90
41.79
41.69
41.58
41.48
41.38
41.28
41.18
41.09
40.99
40.90
40.81
40.72
40.63
40.54
40.46
40.37
40.29
40.21
40.13
40.05
39.97
39.89
39.81
39.74
39.67
39.59
39.52
39.45
39.38
39.31
39.25
39.18
39.11
39.05
38.98
38.92
38.86
38.80
38.74
44.66
44.54
44.43
44.32
44.21
44.11
44.01
43.90
43.80
43.70
43.61
43.51
43.42
43.33
43.23
43.15
43.06
42.97
42.89
42.80
42.72
42.64
42.56
42.48
42.40
42.33
42.25
42.18
42.10
42.03
41.96
41.89
41.82
41.75
41.69
41.62
41.56
41.49
41.43
41.37
47.63
47.51
47.39
47.27
47.15
47.04
46.93
46.82
46.71
46.61
46.50
46.40
46.30
46.20
46.10
46.01
45.92
45.83
45.73
45.65
45.56
45.47
45.39
45.31
45.22
45.14
45.06
44.99
44.91
44.83
44.76
44.69
44.61
44.54
44.47
44.41
44.34
44.27
44.20
44.14
50.91
50.77
50.64
50.51
50.38
50.25
50.13
50.00
49.88
49.77
49.65
49.54
49.43
49.32
49.22
49.11
49.01
48.91
48.81
48.72
48.62
48.53
48.44
48.35
48.26
48.17
48.09
48.00
47.92
47.84
47.76
47.68
47.60
47.53
47.45
47.38
47.30
47.23
47.16
47.09
54.71
54.55
54.38
54.22
54.07
53.91
53.77
53.62
53.48
53.34
53.21
53.08
52.95
52.82
52.70
52.58
52.46
52.35
52.24
52.13
52.02
51.91
51.81
51.71
51.61
51.51
51.41
51.32
51.22
51.13
51.04
50.95
50.87
50.78
50.70
50.62
50.54
50.46
50.38
50.30
59.80
59.53
59.27
59.03
58.79
58.57
58.36
58.15
57.95
57.76
57.57
57.40
57.22
57.06
56.89
56.74
56.58
56.43
56.29
56.15
56.01
55.88
55.75
55.62
55.50
55.37
55.26
55.14
55.03
54.92
54.81
54.70
54.60
54.49
54.39
54.30
54.20
54.11
54.01
53.92
65.14
64.19
63.61
63.14
62.75
62.40
62.09
61.80
61.53
61.28
61.05
60.83
60.62
60.42
60.22
60.04
59.86
59.70
59.53
59.37
59.22
59.07
58.93
58.79
58.66
58.53
58.40
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Gas Tables (ver. 2.0), IIST
8 / 12
D | Fanno flow tables
Table D.1: Fanno flow properties for γ = 1.4
M
T/T ∗
P/P∗
ρ/ρ∗
P0 /P0∗
4 f L∗ /D
M
T/T ∗
P/P∗
ρ/ρ∗
P0 /P0∗
4 f L∗ /D
M
T/T ∗
P/P∗
ρ/ρ∗
P0 /P0∗
4 f L∗ /D
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
0.30
0.32
0.34
0.36
0.38
0.40
0.42
0.44
0.46
0.48
0.50
0.52
0.54
0.56
0.58
0.60
0.62
0.64
0.66
0.68
0.70
0.72
0.74
0.76
0.78
0.80
1.1999
1.1996
1.1991
1.1985
1.1976
1.1966
1.1953
1.1939
1.1923
1.1905
1.1885
1.1863
1.1840
1.1815
1.1788
1.1759
1.1729
1.1697
1.1663
1.1628
1.1591
1.1553
1.1513
1.1471
1.1429
1.1384
1.1339
1.1292
1.1244
1.1194
1.1143
1.1091
1.1038
1.0984
1.0929
1.0873
1.0815
1.0757
1.0698
1.0638
54.7701
27.3817
18.2508
13.6843
10.9435
9.1156
7.8093
6.8291
6.0662
5.4554
4.9554
4.5383
4.1851
3.8820
3.6191
3.3887
3.1853
3.0042
2.8420
2.6958
2.5634
2.4428
2.3326
2.2313
2.1381
2.0519
1.9719
1.8975
1.8282
1.7634
1.7026
1.6456
1.5919
1.5413
1.4935
1.4482
1.4054
1.3647
1.3261
1.2893
45.6454
22.8254
15.2200
11.4182
9.1378
7.6182
6.5333
5.7200
5.0879
4.5826
4.1694
3.8255
3.5347
3.2857
3.0702
2.8818
2.7158
2.5684
2.4367
2.3184
2.2115
2.1145
2.0261
1.9451
1.8708
1.8024
1.7391
1.6805
1.6260
1.5753
1.5279
1.4836
1.4421
1.4032
1.3665
1.3320
1.2994
1.2686
1.2395
1.2119
28.9421
14.4815
9.6659
7.2616
5.8218
4.8643
4.1824
3.6727
3.2779
2.9635
2.7076
2.4956
2.3173
2.1656
2.0351
1.9219
1.8229
1.7358
1.6587
1.5901
1.5289
1.4740
1.4246
1.3801
1.3398
1.3034
1.2703
1.2403
1.2130
1.1882
1.1656
1.1451
1.1265
1.1097
1.0944
1.0806
1.0681
1.0570
1.0471
1.0382
1778.4499
440.3522
193.0311
106.7182
66.9216
45.4080
32.5113
24.1978
18.5427
14.5333
11.5961
9.3865
7.6876
6.3572
5.2993
4.4467
3.7520
3.1801
2.7054
2.3085
1.9744
1.6915
1.4509
1.2453
1.0691
0.9174
0.7866
0.6736
0.5757
0.4908
0.4172
0.3533
0.2979
0.2498
0.2081
0.1721
0.1411
0.1145
0.0917
0.0723
0.82
0.84
0.86
0.88
0.90
0.92
0.94
0.96
0.98
1.00
1.02
1.04
1.06
1.08
1.10
1.12
1.14
1.16
1.18
1.20
1.22
1.24
1.26
1.28
1.30
1.32
1.34
1.36
1.38
1.40
1.42
1.44
1.46
1.48
1.50
1.52
1.54
1.56
1.58
1.60
1.0578
1.0516
1.0454
1.0391
1.0327
1.0263
1.0198
1.0132
1.0066
1.0000
0.9933
0.9866
0.9798
0.9730
0.9662
0.9593
0.9524
0.9455
0.9386
0.9317
0.9247
0.9178
0.9108
0.9038
0.8969
0.8899
0.8829
0.8760
0.8690
0.8621
0.8551
0.8482
0.8413
0.8344
0.8276
0.8207
0.8139
0.8071
0.8004
0.7937
1.2542
1.2208
1.1889
1.1583
1.1291
1.1011
1.0743
1.0485
1.0238
1.0000
0.9771
0.9551
0.9338
0.9133
0.8936
0.8745
0.8561
0.8383
0.8210
0.8044
0.7882
0.7726
0.7574
0.7427
0.7285
0.7147
0.7012
0.6882
0.6755
0.6632
0.6512
0.6396
0.6282
0.6172
0.6065
0.5960
0.5858
0.5759
0.5662
0.5568
1.1858
1.1609
1.1373
1.1148
1.0934
1.0730
1.0535
1.0348
1.0170
1.0000
0.9837
0.9681
0.9531
0.9387
0.9249
0.9116
0.8988
0.8865
0.8747
0.8633
0.8524
0.8418
0.8316
0.8218
0.8123
0.8031
0.7942
0.7856
0.7773
0.7693
0.7615
0.7540
0.7467
0.7397
0.7328
0.7262
0.7198
0.7135
0.7074
0.7016
1.0305
1.0237
1.0179
1.0129
1.0089
1.0056
1.0031
1.0014
1.0003
1.0000
1.0003
1.0013
1.0029
1.0051
1.0079
1.0113
1.0153
1.0198
1.0248
1.0304
1.0366
1.0432
1.0504
1.0581
1.0663
1.0750
1.0842
1.0940
1.1042
1.1149
1.1262
1.1379
1.1501
1.1629
1.1762
1.1899
1.2042
1.2190
1.2344
1.2502
0.0559
0.0423
0.0310
0.0218
0.0145
0.0089
0.0048
0.0021
0.0005
0.0000
0.0005
0.0018
0.0038
0.0066
0.0099
0.0138
0.0182
0.0230
0.0281
0.0336
0.0394
0.0455
0.0517
0.0582
0.0648
0.0716
0.0785
0.0855
0.0926
0.0997
0.1069
0.1142
0.1215
0.1288
0.1361
0.1433
0.1506
0.1579
0.1651
0.1724
1.62
1.64
1.66
1.68
1.70
1.72
1.74
1.76
1.78
1.80
1.82
1.84
1.86
1.88
1.90
1.92
1.94
1.96
1.98
2.00
2.02
2.04
2.06
2.08
2.10
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26
2.28
2.30
2.32
2.34
2.36
2.38
2.40
0.7869
0.7803
0.7736
0.7670
0.7605
0.7539
0.7474
0.7410
0.7345
0.7282
0.7218
0.7155
0.7093
0.7030
0.6969
0.6907
0.6847
0.6786
0.6726
0.6667
0.6608
0.6549
0.6491
0.6433
0.6376
0.6320
0.6263
0.6208
0.6152
0.6098
0.6043
0.5989
0.5936
0.5883
0.5831
0.5779
0.5728
0.5677
0.5626
0.5576
0.5476
0.5386
0.5299
0.5213
0.5130
0.5048
0.4969
0.4891
0.4815
0.4741
0.4668
0.4597
0.4528
0.4460
0.4394
0.4329
0.4265
0.4203
0.4142
0.4082
0.4024
0.3967
0.3911
0.3856
0.3802
0.3750
0.3698
0.3648
0.3598
0.3549
0.3502
0.3455
0.3409
0.3364
0.3320
0.3277
0.3234
0.3193
0.3152
0.3111
0.6958
0.6903
0.6849
0.6796
0.6745
0.6696
0.6648
0.6601
0.6555
0.6511
0.6467
0.6425
0.6384
0.6344
0.6305
0.6267
0.6230
0.6193
0.6158
0.6124
0.6090
0.6057
0.6025
0.5994
0.5963
0.5934
0.5905
0.5876
0.5848
0.5821
0.5794
0.5768
0.5743
0.5718
0.5694
0.5670
0.5647
0.5624
0.5602
0.5580
1.2666
1.2836
1.3010
1.3190
1.3376
1.3567
1.3764
1.3967
1.4175
1.4390
1.4610
1.4836
1.5069
1.5308
1.5553
1.5804
1.6062
1.6326
1.6597
1.6875
1.7160
1.7451
1.7750
1.8056
1.8369
1.8690
1.9018
1.9354
1.9698
2.0050
2.0409
2.0777
2.1153
2.1538
2.1931
2.2333
2.2744
2.3164
2.3593
2.4031
0.1795
0.1867
0.1938
0.2008
0.2078
0.2147
0.2216
0.2284
0.2352
0.2419
0.2485
0.2551
0.2616
0.2680
0.2743
0.2806
0.2868
0.2929
0.2990
0.3050
0.3109
0.3168
0.3225
0.3282
0.3339
0.3394
0.3449
0.3503
0.3556
0.3609
0.3661
0.3712
0.3763
0.3813
0.3862
0.3911
0.3959
0.4006
0.4053
0.4099
Gas Tables (ver. 2.0), IIST
9 / 12
Table D.2: Fanno flow properties for γ = 1.4
M
T/T ∗
P/P∗
ρ/ρ∗
P0 /P0∗
4 f L∗ /D
M
T/T ∗
P/P∗
ρ/ρ∗
P0 /P0∗
4 f L∗ /D
M
T/T ∗
P/P∗
ρ/ρ∗
P0 /P0∗
4 f L∗ /D
2.42
2.44
2.46
2.48
2.50
2.52
2.54
2.56
2.58
2.60
2.62
2.64
2.66
2.68
2.70
2.72
2.74
2.76
2.78
2.80
2.82
2.84
2.86
2.88
2.90
2.92
2.94
2.96
2.98
3.00
3.02
3.04
3.06
3.08
3.10
3.12
3.14
3.16
3.18
3.20
0.5527
0.5478
0.5429
0.5381
0.5333
0.5286
0.5239
0.5193
0.5147
0.5102
0.5057
0.5013
0.4969
0.4925
0.4882
0.4839
0.4797
0.4755
0.4714
0.4673
0.4632
0.4592
0.4552
0.4513
0.4474
0.4436
0.4398
0.4360
0.4323
0.4286
0.4249
0.4213
0.4177
0.4142
0.4107
0.4072
0.4038
0.4004
0.3970
0.3937
0.3072
0.3033
0.2995
0.2958
0.2921
0.2885
0.2850
0.2815
0.2781
0.2747
0.2714
0.2682
0.2650
0.2619
0.2588
0.2558
0.2528
0.2498
0.2470
0.2441
0.2414
0.2386
0.2359
0.2333
0.2307
0.2281
0.2256
0.2231
0.2206
0.2182
0.2158
0.2135
0.2112
0.2090
0.2067
0.2045
0.2024
0.2002
0.1981
0.1961
0.5558
0.5537
0.5517
0.5497
0.5477
0.5458
0.5439
0.5421
0.5402
0.5385
0.5367
0.5350
0.5333
0.5317
0.5301
0.5285
0.5269
0.5254
0.5239
0.5225
0.5210
0.5196
0.5182
0.5169
0.5155
0.5142
0.5129
0.5116
0.5104
0.5092
0.5080
0.5068
0.5056
0.5045
0.5034
0.5023
0.5012
0.5001
0.4991
0.4980
2.4479
2.4936
2.5403
2.5880
2.6367
2.6865
2.7372
2.7891
2.8420
2.8960
2.9511
3.0073
3.0647
3.1233
3.1830
3.2440
3.3061
3.3695
3.4342
3.5001
3.5674
3.6359
3.7058
3.7771
3.8498
3.9238
3.9993
4.0763
4.1547
4.2346
4.3160
4.3989
4.4835
4.5696
4.6573
4.7467
4.8377
4.9304
5.0248
5.1210
0.4144
0.4189
0.4233
0.4277
0.4320
0.4362
0.4404
0.4445
0.4486
0.4526
0.4565
0.4604
0.4643
0.4681
0.4718
0.4755
0.4791
0.4827
0.4863
0.4898
0.4932
0.4966
0.5000
0.5033
0.5065
0.5097
0.5129
0.5160
0.5191
0.5222
0.5252
0.5281
0.5310
0.5339
0.5368
0.5396
0.5424
0.5451
0.5478
0.5504
3.22
3.24
3.26
3.28
3.30
3.32
3.34
3.36
3.38
3.40
3.42
3.44
3.46
3.48
3.50
3.52
3.54
3.56
3.58
3.60
3.62
3.64
3.66
3.68
3.70
3.72
3.74
3.76
3.78
3.80
3.82
3.84
3.86
3.88
3.90
3.92
3.94
3.96
3.98
4.00
0.3904
0.3872
0.3839
0.3807
0.3776
0.3745
0.3714
0.3683
0.3653
0.3623
0.3594
0.3564
0.3535
0.3507
0.3478
0.3450
0.3422
0.3395
0.3368
0.3341
0.3314
0.3288
0.3262
0.3236
0.3210
0.3185
0.3160
0.3135
0.3111
0.3086
0.3062
0.3039
0.3015
0.2992
0.2969
0.2946
0.2923
0.2901
0.2879
0.2857
0.1940
0.1920
0.1901
0.1881
0.1862
0.1843
0.1825
0.1806
0.1788
0.1770
0.1753
0.1736
0.1718
0.1702
0.1685
0.1669
0.1653
0.1637
0.1621
0.1606
0.1590
0.1575
0.1560
0.1546
0.1531
0.1517
0.1503
0.1489
0.1475
0.1462
0.1449
0.1436
0.1423
0.1410
0.1397
0.1385
0.1372
0.1360
0.1348
0.1336
0.4970
0.4960
0.4951
0.4941
0.4931
0.4922
0.4913
0.4904
0.4895
0.4886
0.4878
0.4869
0.4861
0.4853
0.4845
0.4837
0.4829
0.4821
0.4813
0.4806
0.4799
0.4791
0.4784
0.4777
0.4770
0.4763
0.4757
0.4750
0.4743
0.4737
0.4730
0.4724
0.4718
0.4712
0.4706
0.4700
0.4694
0.4688
0.4683
0.4677
5.2189
5.3186
5.4201
5.5234
5.6286
5.7358
5.8448
5.9558
6.0687
6.1837
6.3007
6.4198
6.5409
6.6642
6.7896
6.9172
7.0471
7.1791
7.3135
7.4501
7.5891
7.7305
7.8742
8.0204
8.1691
8.3202
8.4739
8.6302
8.7891
8.9506
9.1148
9.2817
9.4513
9.6237
9.7990
9.9771
10.1581
10.3420
10.5289
10.7188
0.5531
0.5557
0.5582
0.5607
0.5632
0.5657
0.5681
0.5705
0.5729
0.5752
0.5775
0.5798
0.5820
0.5842
0.5864
0.5886
0.5907
0.5928
0.5949
0.5970
0.5990
0.6010
0.6030
0.6049
0.6068
0.6087
0.6106
0.6125
0.6143
0.6161
0.6179
0.6197
0.6214
0.6231
0.6248
0.6265
0.6282
0.6298
0.6315
0.6331
4.02
4.04
4.06
4.08
4.10
4.12
4.14
4.16
4.18
4.20
4.22
4.24
4.26
4.28
4.30
4.32
4.34
4.36
4.38
4.40
4.42
4.44
4.46
4.48
4.50
4.52
4.54
4.56
4.58
4.60
4.62
4.64
4.66
4.68
4.70
4.72
4.74
4.76
4.78
4.80
0.2835
0.2814
0.2793
0.2772
0.2751
0.2730
0.2710
0.2690
0.2670
0.2650
0.2631
0.2611
0.2592
0.2573
0.2554
0.2536
0.2517
0.2499
0.2481
0.2463
0.2445
0.2428
0.2410
0.2393
0.2376
0.2359
0.2343
0.2326
0.2310
0.2294
0.2278
0.2262
0.2246
0.2230
0.2215
0.2200
0.2184
0.2169
0.2155
0.2140
0.1325
0.1313
0.1302
0.1290
0.1279
0.1268
0.1257
0.1247
0.1236
0.1226
0.1215
0.1205
0.1195
0.1185
0.1175
0.1166
0.1156
0.1147
0.1137
0.1128
0.1119
0.1110
0.1101
0.1092
0.1083
0.1075
0.1066
0.1058
0.1049
0.1041
0.1033
0.1025
0.1017
0.1009
0.1001
0.0994
0.0986
0.0979
0.0971
0.0964
0.4672
0.4666
0.4661
0.4655
0.4650
0.4645
0.4640
0.4635
0.4630
0.4625
0.4620
0.4615
0.4611
0.4606
0.4601
0.4597
0.4592
0.4588
0.4584
0.4579
0.4575
0.4571
0.4567
0.4563
0.4559
0.4555
0.4551
0.4547
0.4543
0.4539
0.4536
0.4532
0.4528
0.4525
0.4521
0.4517
0.4514
0.4510
0.4507
0.4504
10.9117
11.1077
11.3068
11.5091
11.7147
11.9234
12.1354
12.3508
12.5695
12.7916
13.0172
13.2463
13.4789
13.7151
13.9549
14.1984
14.4456
14.6965
14.9513
15.2099
15.4724
15.7388
16.0092
16.2837
16.5622
16.8449
17.1317
17.4228
17.7181
18.0178
18.3218
18.6303
18.9433
19.2608
19.5828
19.9095
20.2409
20.5770
20.9179
21.2637
0.6346
0.6362
0.6378
0.6393
0.6408
0.6423
0.6438
0.6452
0.6467
0.6481
0.6495
0.6509
0.6523
0.6536
0.6550
0.6563
0.6576
0.6589
0.6602
0.6615
0.6627
0.6640
0.6652
0.6664
0.6676
0.6688
0.6700
0.6712
0.6723
0.6734
0.6746
0.6757
0.6768
0.6779
0.6790
0.6800
0.6811
0.6821
0.6831
0.6842
Gas Tables (ver. 2.0), IIST
10 / 12
E | Rayleigh flow tables
Table E.1: Rayleigh flow properties for γ = 1.4
M
T/T ∗
P/P∗
ρ/ρ∗
T0 /T0∗
P0 /P0∗
M
T/T ∗
P/P∗
ρ/ρ∗
T0 /T0∗
P0 /P0∗
M
T/T ∗
P/P∗
ρ/ρ∗
T0 /T0∗
P0 /P0∗
0.02
0.04
0.06
0.08
0.10
0.12
0.14
0.16
0.18
0.20
0.22
0.24
0.26
0.28
0.30
0.32
0.34
0.36
0.38
0.40
0.42
0.44
0.46
0.48
0.50
0.52
0.54
0.56
0.58
0.60
0.62
0.64
0.66
0.68
0.70
0.72
0.74
0.76
0.78
0.80
0.0023
0.0092
0.0205
0.0362
0.0560
0.0797
0.1069
0.1374
0.1708
0.2066
0.2445
0.2841
0.3250
0.3667
0.4089
0.4512
0.4933
0.5348
0.5755
0.6151
0.6535
0.6903
0.7254
0.7587
0.7901
0.8196
0.8469
0.8723
0.8955
0.9167
0.9358
0.9530
0.9682
0.9814
0.9929
1.0026
1.0106
1.0171
1.0220
1.0255
2.3987
2.3946
2.3880
2.3787
2.3669
2.3526
2.3359
2.3170
2.2959
2.2727
2.2477
2.2209
2.1925
2.1626
2.1314
2.0991
2.0657
2.0314
1.9964
1.9608
1.9247
1.8882
1.8515
1.8147
1.7778
1.7409
1.7043
1.6678
1.6316
1.5957
1.5603
1.5253
1.4908
1.4569
1.4235
1.3907
1.3585
1.3270
1.2961
1.2658
1042.2500
261.0000
116.3241
65.6875
42.2500
29.5185
21.8418
16.8594
13.4434
11.0000
9.1921
7.8171
6.7470
5.8980
5.2130
4.6523
4.1877
3.7984
3.4688
3.1875
2.9454
2.7355
2.5525
2.3918
2.2500
2.1243
2.0122
1.9120
1.8219
1.7407
1.6673
1.6006
1.5399
1.4844
1.4337
1.3871
1.3442
1.3047
1.2682
1.2344
0.0019
0.0076
0.0171
0.0302
0.0468
0.0666
0.0895
0.1151
0.1432
0.1736
0.2057
0.2395
0.2745
0.3104
0.3469
0.3837
0.4206
0.4572
0.4935
0.5290
0.5638
0.5975
0.6301
0.6614
0.6914
0.7199
0.7470
0.7725
0.7965
0.8189
0.8398
0.8592
0.8771
0.8935
0.9085
0.9221
0.9344
0.9455
0.9553
0.9639
1.2675
1.2665
1.2647
1.2623
1.2591
1.2554
1.2510
1.2461
1.2406
1.2346
1.2281
1.2213
1.2140
1.2064
1.1985
1.1904
1.1822
1.1737
1.1652
1.1566
1.1480
1.1394
1.1308
1.1224
1.1141
1.1059
1.0979
1.0901
1.0826
1.0753
1.0682
1.0615
1.0550
1.0489
1.0431
1.0376
1.0325
1.0278
1.0234
1.0193
0.82
0.84
0.86
0.88
0.90
0.92
0.94
0.96
0.98
1.00
1.02
1.04
1.06
1.08
1.10
1.12
1.14
1.16
1.18
1.20
1.22
1.24
1.26
1.28
1.30
1.32
1.34
1.36
1.38
1.40
1.42
1.44
1.46
1.48
1.50
1.52
1.54
1.56
1.58
1.60
1.0276
1.0285
1.0283
1.0269
1.0245
1.0212
1.0170
1.0121
1.0064
1.0000
0.9930
0.9855
0.9776
0.9691
0.9603
0.9512
0.9417
0.9320
0.9220
0.9118
0.9015
0.8911
0.8805
0.8699
0.8592
0.8484
0.8377
0.8269
0.8161
0.8054
0.7947
0.7840
0.7735
0.7629
0.7525
0.7422
0.7319
0.7217
0.7117
0.7017
1.2362
1.2073
1.1791
1.1515
1.1246
1.0984
1.0728
1.0479
1.0236
1.0000
0.9770
0.9546
0.9327
0.9115
0.8909
0.8708
0.8512
0.8322
0.8137
0.7958
0.7783
0.7613
0.7447
0.7287
0.7130
0.6978
0.6830
0.6686
0.6546
0.6410
0.6278
0.6149
0.6024
0.5902
0.5783
0.5668
0.5555
0.5446
0.5339
0.5236
1.2030
1.1738
1.1467
1.1214
1.0977
1.0756
1.0549
1.0354
1.0172
1.0000
0.9838
0.9686
0.9542
0.9406
0.9277
0.9155
0.9039
0.8930
0.8826
0.8727
0.8633
0.8543
0.8458
0.8376
0.8299
0.8225
0.8154
0.8086
0.8021
0.7959
0.7900
0.7843
0.7788
0.7736
0.7685
0.7637
0.7590
0.7545
0.7502
0.7461
0.9715
0.9781
0.9836
0.9883
0.9921
0.9951
0.9973
0.9988
0.9997
1.0000
0.9997
0.9989
0.9977
0.9960
0.9939
0.9915
0.9887
0.9856
0.9823
0.9787
0.9749
0.9709
0.9668
0.9624
0.9580
0.9534
0.9487
0.9440
0.9391
0.9343
0.9293
0.9243
0.9193
0.9143
0.9093
0.9042
0.8992
0.8942
0.8892
0.8842
1.0157
1.0124
1.0095
1.0070
1.0049
1.0031
1.0017
1.0008
1.0002
1.0000
1.0002
1.0008
1.0017
1.0031
1.0049
1.0070
1.0095
1.0124
1.0157
1.0194
1.0235
1.0279
1.0328
1.0380
1.0437
1.0497
1.0561
1.0629
1.0701
1.0777
1.0856
1.0940
1.1028
1.1120
1.1215
1.1315
1.1419
1.1527
1.1640
1.1756
1.62
1.64
1.66
1.68
1.70
1.72
1.74
1.76
1.78
1.80
1.82
1.84
1.86
1.88
1.90
1.92
1.94
1.96
1.98
2.00
2.02
2.04
2.06
2.08
2.10
2.12
2.14
2.16
2.18
2.20
2.22
2.24
2.26
2.28
2.30
2.32
2.34
2.36
2.38
2.40
0.6919
0.6822
0.6726
0.6631
0.6538
0.6445
0.6355
0.6265
0.6176
0.6089
0.6004
0.5919
0.5836
0.5754
0.5673
0.5594
0.5516
0.5439
0.5364
0.5289
0.5216
0.5144
0.5074
0.5004
0.4936
0.4868
0.4802
0.4737
0.4673
0.4611
0.4549
0.4488
0.4428
0.4370
0.4312
0.4256
0.4200
0.4145
0.4091
0.4038
0.5135
0.5036
0.4940
0.4847
0.4756
0.4668
0.4581
0.4497
0.4415
0.4335
0.4257
0.4181
0.4107
0.4035
0.3964
0.3895
0.3828
0.3763
0.3699
0.3636
0.3575
0.3516
0.3458
0.3401
0.3345
0.3291
0.3238
0.3186
0.3136
0.3086
0.3038
0.2991
0.2945
0.2899
0.2855
0.2812
0.2769
0.2728
0.2688
0.2648
0.7421
0.7383
0.7345
0.7310
0.7275
0.7242
0.7210
0.7178
0.7148
0.7119
0.7091
0.7064
0.7038
0.7012
0.6988
0.6964
0.6940
0.6918
0.6896
0.6875
0.6854
0.6835
0.6815
0.6796
0.6778
0.6760
0.6743
0.6726
0.6710
0.6694
0.6679
0.6664
0.6649
0.6635
0.6621
0.6607
0.6594
0.6581
0.6569
0.6557
0.8792
0.8743
0.8694
0.8645
0.8597
0.8549
0.8502
0.8455
0.8409
0.8363
0.8317
0.8273
0.8228
0.8185
0.8141
0.8099
0.8057
0.8015
0.7974
0.7934
0.7894
0.7855
0.7816
0.7778
0.7741
0.7704
0.7667
0.7631
0.7596
0.7561
0.7527
0.7493
0.7460
0.7428
0.7395
0.7364
0.7333
0.7302
0.7272
0.7242
1.1877
1.2002
1.2131
1.2264
1.2402
1.2545
1.2692
1.2843
1.2999
1.3159
1.3324
1.3494
1.3669
1.3849
1.4033
1.4222
1.4417
1.4616
1.4821
1.5031
1.5246
1.5467
1.5693
1.5924
1.6162
1.6404
1.6653
1.6908
1.7168
1.7434
1.7707
1.7986
1.8271
1.8562
1.8860
1.9165
1.9476
1.9794
2.0119
2.0451
Gas Tables (ver. 2.0), IIST
11 / 12
Table E.2: Rayleigh flow properties for γ = 1.4
M
T/T ∗
P/P∗
ρ/ρ∗
T0 /T0∗
P0 /P0∗
M
T/T ∗
P/P∗
ρ/ρ∗
T0 /T0∗
P0 /P0∗
M
T/T ∗
P/P∗
ρ/ρ∗
T0 /T0∗
P0 /P0∗
2.42
2.44
2.46
2.48
2.50
2.52
2.54
2.56
2.58
2.60
2.62
2.64
2.66
2.68
2.70
2.72
2.74
2.76
2.78
2.80
2.82
2.84
2.86
2.88
2.90
2.92
2.94
2.96
2.98
3.00
3.02
3.04
3.06
3.08
3.10
3.12
3.14
3.16
3.18
3.20
0.3986
0.3935
0.3885
0.3836
0.3787
0.3739
0.3692
0.3646
0.3601
0.3556
0.3512
0.3469
0.3427
0.3385
0.3344
0.3304
0.3264
0.3225
0.3186
0.3149
0.3111
0.3075
0.3039
0.3004
0.2969
0.2934
0.2901
0.2868
0.2835
0.2803
0.2771
0.2740
0.2709
0.2679
0.2650
0.2620
0.2592
0.2563
0.2535
0.2508
0.2609
0.2571
0.2534
0.2497
0.2462
0.2427
0.2392
0.2359
0.2326
0.2294
0.2262
0.2231
0.2201
0.2171
0.2142
0.2113
0.2085
0.2058
0.2030
0.2004
0.1978
0.1953
0.1927
0.1903
0.1879
0.1855
0.1832
0.1809
0.1787
0.1765
0.1743
0.1722
0.1701
0.1681
0.1660
0.1641
0.1621
0.1602
0.1583
0.1565
0.6545
0.6533
0.6522
0.6511
0.6500
0.6489
0.6479
0.6469
0.6459
0.6450
0.6440
0.6431
0.6422
0.6413
0.6405
0.6397
0.6388
0.6380
0.6372
0.6365
0.6357
0.6350
0.6343
0.6336
0.6329
0.6322
0.6315
0.6309
0.6303
0.6296
0.6290
0.6284
0.6278
0.6273
0.6267
0.6261
0.6256
0.6251
0.6245
0.6240
0.7213
0.7184
0.7156
0.7128
0.7101
0.7074
0.7047
0.7021
0.6995
0.6970
0.6945
0.6921
0.6896
0.6873
0.6849
0.6826
0.6804
0.6781
0.6760
0.6738
0.6717
0.6696
0.6675
0.6655
0.6635
0.6615
0.6596
0.6577
0.6558
0.6540
0.6522
0.6504
0.6486
0.6469
0.6452
0.6435
0.6418
0.6402
0.6386
0.6370
2.0789
2.1136
2.1489
2.1850
2.2218
2.2594
2.2978
2.3370
2.3770
2.4177
2.4593
2.5018
2.5451
2.5892
2.6343
2.6802
2.7270
2.7748
2.8235
2.8731
2.9237
2.9752
3.0278
3.0813
3.1359
3.1914
3.2481
3.3058
3.3646
3.4245
3.4854
3.5476
3.6108
3.6752
3.7408
3.8076
3.8756
3.9449
4.0154
4.0871
3.22
3.24
3.26
3.28
3.30
3.32
3.34
3.36
3.38
3.40
3.42
3.44
3.46
3.48
3.50
3.52
3.54
3.56
3.58
3.60
3.62
3.64
3.66
3.68
3.70
3.72
3.74
3.76
3.78
3.80
3.82
3.84
3.86
3.88
3.90
3.92
3.94
3.96
3.98
4.00
0.2481
0.2454
0.2428
0.2402
0.2377
0.2352
0.2327
0.2303
0.2279
0.2255
0.2232
0.2209
0.2186
0.2164
0.2142
0.2120
0.2099
0.2078
0.2057
0.2037
0.2017
0.1997
0.1977
0.1958
0.1939
0.1920
0.1902
0.1884
0.1866
0.1848
0.1830
0.1813
0.1796
0.1779
0.1763
0.1746
0.1730
0.1714
0.1699
0.1683
0.1547
0.1529
0.1511
0.1494
0.1477
0.1461
0.1444
0.1428
0.1412
0.1397
0.1381
0.1366
0.1351
0.1337
0.1322
0.1308
0.1294
0.1280
0.1267
0.1254
0.1241
0.1228
0.1215
0.1202
0.1190
0.1178
0.1166
0.1154
0.1143
0.1131
0.1120
0.1109
0.1098
0.1087
0.1077
0.1066
0.1056
0.1046
0.1036
0.1026
0.6235
0.6230
0.6225
0.6221
0.6216
0.6211
0.6207
0.6202
0.6198
0.6194
0.6190
0.6185
0.6181
0.6177
0.6173
0.6170
0.6166
0.6162
0.6158
0.6155
0.6151
0.6148
0.6144
0.6141
0.6138
0.6134
0.6131
0.6128
0.6125
0.6122
0.6119
0.6116
0.6113
0.6110
0.6107
0.6104
0.6102
0.6099
0.6096
0.6094
0.6354
0.6339
0.6324
0.6309
0.6294
0.6280
0.6265
0.6251
0.6237
0.6224
0.6210
0.6197
0.6184
0.6171
0.6158
0.6145
0.6133
0.6121
0.6109
0.6097
0.6085
0.6074
0.6062
0.6051
0.6040
0.6029
0.6018
0.6008
0.5997
0.5987
0.5977
0.5967
0.5957
0.5947
0.5937
0.5928
0.5918
0.5909
0.5900
0.5891
4.1602
4.2345
4.3101
4.3871
4.4655
4.5452
4.6263
4.7089
4.7929
4.8783
4.9652
5.0536
5.1435
5.2350
5.3280
5.4226
5.5188
5.6167
5.7162
5.8173
5.9201
6.0247
6.1310
6.2390
6.3488
6.4605
6.5739
6.6893
6.8065
6.9256
7.0466
7.1696
7.2945
7.4215
7.5505
7.6816
7.8147
7.9499
8.0873
8.2268
4.02
4.04
4.06
4.08
4.10
4.12
4.14
4.16
4.18
4.20
4.22
4.24
4.26
4.28
4.30
4.32
4.34
4.36
4.38
4.40
4.42
4.44
4.46
4.48
4.50
4.52
4.54
4.56
4.58
4.60
4.62
4.64
4.66
4.68
4.70
4.72
4.74
4.76
4.78
4.80
0.1668
0.1653
0.1638
0.1623
0.1609
0.1594
0.1580
0.1566
0.1552
0.1539
0.1525
0.1512
0.1499
0.1486
0.1473
0.1461
0.1448
0.1436
0.1424
0.1412
0.1400
0.1388
0.1377
0.1365
0.1354
0.1343
0.1332
0.1321
0.1310
0.1300
0.1289
0.1279
0.1268
0.1258
0.1248
0.1238
0.1229
0.1219
0.1209
0.1200
0.1016
0.1006
0.0997
0.0987
0.0978
0.0969
0.0960
0.0951
0.0943
0.0934
0.0926
0.0917
0.0909
0.0901
0.0893
0.0885
0.0877
0.0869
0.0862
0.0854
0.0847
0.0839
0.0832
0.0825
0.0818
0.0811
0.0804
0.0797
0.0790
0.0784
0.0777
0.0771
0.0764
0.0758
0.0752
0.0746
0.0739
0.0733
0.0728
0.0722
0.6091
0.6089
0.6086
0.6084
0.6081
0.6079
0.6076
0.6074
0.6072
0.6070
0.6067
0.6065
0.6063
0.6061
0.6059
0.6057
0.6055
0.6053
0.6051
0.6049
0.6047
0.6045
0.6043
0.6041
0.6039
0.6037
0.6035
0.6034
0.6032
0.6030
0.6029
0.6027
0.6025
0.6024
0.6022
0.6020
0.6019
0.6017
0.6016
0.6014
0.5882
0.5873
0.5864
0.5856
0.5847
0.5839
0.5831
0.5823
0.5814
0.5807
0.5799
0.5791
0.5783
0.5776
0.5768
0.5761
0.5754
0.5746
0.5739
0.5732
0.5725
0.5718
0.5712
0.5705
0.5698
0.5692
0.5685
0.5679
0.5673
0.5666
0.5660
0.5654
0.5648
0.5642
0.5636
0.5630
0.5625
0.5619
0.5613
0.5608
8.3686
8.5125
8.6587
8.8072
8.9579
9.1110
9.2665
9.4243
9.5846
9.7473
9.9125
10.0802
10.2504
10.4232
10.5985
10.7766
10.9572
11.1406
11.3267
11.5155
11.7072
11.9016
12.0989
12.2991
12.5023
12.7083
12.9174
13.1295
13.3446
13.5629
13.7843
14.0088
14.2365
14.4675
14.7017
14.9393
15.1802
15.4245
15.6722
15.9234
Gas Tables (ver. 2.0), IIST
12 / 12