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Prandtl-Meyer TablesStaff posted on October 20, 2006 |
Prandtl-Meyer Tables
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M - Mach Number
n - Flow angle
µ - Mach wave angle
|
| |
|
M
|
n
|
µ
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|
M
|
n
|
µ
|
|
M
|
n
|
µ
|
|
1.00
|
0.0000
|
90.0000
|
|
2.46
|
38.1831
|
23.9854
|
|
5.30
|
79.5962
|
10.8757
|
|
1.02
|
0.1257
|
78.6351
|
|
2.48
|
38.6551
|
23.7800
|
|
5.35
|
80.0180
|
10.7729
|
|
1.04
|
0.3510
|
74.0576
|
|
2.50
|
39.1236
|
23.5782
|
|
5.40
|
80.4332
|
10.6719
|
|
1.06
|
0.6367
|
70.6300
|
|
2.52
|
39.5886
|
23.3799
|
|
5.45
|
80.8421
|
10.5729
|
|
1.08
|
0.9680
|
67.8084
|
|
2.54
|
40.0503
|
23.1850
|
|
5.50
|
81.2448
|
10.4757
|
|
1.10
|
1.3362
|
65.3800
|
|
2.56
|
40.5085
|
22.9934
|
|
5.55
|
81.6413
|
10.3803
|
|
1.12
|
1.7350
|
63.2345
|
|
2.58
|
40.9633
|
22.8051
|
|
5.60
|
82.0319
|
10.2866
|
|
1.14
|
2.1600
|
61.3056
|
|
2.60
|
41.4147
|
22.6199
|
|
5.65
|
82.4166
|
10.1946
|
|
1.16
|
2.6073
|
59.5497
|
|
2.62
|
41.8628
|
22.4377
|
|
5.70
|
82.7956
|
10.1042
|
|
1.18
|
3.0743
|
57.9362
|
|
2.64
|
42.3074
|
22.2586
|
|
5.75
|
83.1689
|
10.0154
|
|
1.20
|
3.5582
|
56.4427
|
|
2.66
|
42.7488
|
22.0824
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|
5.80
|
83.5368
|
9.9282
|
|
1.22
|
4.0572
|
55.0520
|
|
2.68
|
43.1868
|
21.9090
|
|
5.85
|
83.8993
|
9.8425
|
|
1.24
|
4.5694
|
53.7507
|
|
2.70
|
43.6215
|
21.7385
|
|
5.9
|
84.2565
|
9.7583
|
|
1.26
|
5.0931
|
52.5280
|
|
2.72
|
44.0529
|
21.5706
|
|
5.95
|
84.6085
|
9.6755
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| |
|
1.28
|
5.6272
|
51.3752
|
|
2.74
|
44.4810
|
21.4053
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|
6.00
|
84.9555
|
9.5941
|
|
1.30
|
6.1703
|
50.2849
|
|
2.76
|
44.9059
|
21.2427
|
|
6.05
|
85.2975
|
9.5140
|
|
1.32
|
6.7213
|
49.2509
|
|
2.78
|
45.3275
|
21.0825
|
|
6.10
|
85.6347
|
9.4353
|
|
1.34
|
7.2794
|
48.2682
|
|
2.80
|
45.7459
|
20.9248
|
|
6.15
|
85.9671
|
9.3579
|
|
1.36
|
7.8435
|
47.3321
|
|
2.82
|
46.1611
|
20.7695
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|
6.20
|
86.2948
|
9.2818
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|
1.38
|
8.4130
|
46.4387
|
|
2.84
|
46.5731
|
20.6166
|
|
6.25
|
86.6179
|
9.2069
|
|
1.40
|
8.9870
|
45.5847
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|
2.86
|
46.9820
|
20.4659
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|
6.30
|
86.9366
|
9.1332
|
|
1.42
|
9.5650
|
44.7670
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|
2.88
|
47.3877
|
20.3175
|
|
6.35
|
87.2509
|
9.0607
|
|
1.44
|
10.1464
|
43.9830
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|
2.90
|
47.7903
|
20.1713
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|
6.40
|
87.5608
|
8.9893
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|
1.46
|
10.7305
|
43.2302
|
|
2.92
|
48.1898
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20.0272
|
|
6.45
|
87.8666
|
8.9190
|
|
1.48
|
11.3169
|
42.5066
|
|
2.94
|
48.5863
|
19.8852
|
|
6.50
|
88.1682
|
8.8499
|
|
1.50
|
11.9052
|
41.8103
|
|
2.96
|
48.9796
|
19.7452
|
|
6.55
|
88.4657
|
8.7818
|
|
1.52
|
12.4949
|
41.1395
|
|
2.98
|
49.3700
|
19.6072
|
|
6.60
|
88.7592
|
8.7147
|
|
1.54
|
13.0856
|
40.4927
|
|
3.00
|
49.7573
|
19.4712
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|
6.65
|
89.0488
|
8.6487
|
|
1.56
|
13.6770
|
39.8683
|
|
3.05
|
50.7127
|
19.1395
|
|
6.70
|
89.3346
|
8.5837
|
|
1.58
|
14.2686
|
39.2652
|
|
3.10
|
51.6497
|
18.8191
|
|
6.75
|
89.6167
|
8.5196
|
|
1.60
|
14.8604
|
38.6822
|
|
3.15
|
52.5688
|
18.5094
|
|
6.80
|
89.8950
|
8.4565
|
| |
|
1.62
|
15.4518
|
38.1181
|
|
3.20
|
53.4703
|
18.2100
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|
6.85
|
90.1697
|
8.3943
|
|
1.64
|
16.0427
|
37.5719
|
|
3.25
|
54.3546
|
17.9202
|
|
6.90
|
90.4408
|
8.3331
|
|
1.66
|
16.6328
|
37.0427
|
|
3.30
|
55.2220
|
17.6397
|
|
6.95
|
90.7085
|
8.2727
|
|
1.68
|
17.2220
|
36.5296
|
|
3.35
|
56.0728
|
17.3680
|
|
7.00
|
90.9727
|
8.2132
|
|
1.70
|
17.8099
|
36.0319
|
|
3.40
|
56.9075
|
17.1046
|
|
7.10
|
91.4912
|
8.0967
|
|
1.72
|
18.3964
|
35.5487
|
|
3.45
|
57.7264
|
16.8493
|
|
7.20
|
91.9966
|
7.9836
|
|
1.74
|
18.9814
|
35.0795
|
|
3.50
|
58.5298
|
16.6015
|
|
7.30
|
92.4896
|
7.8735
|
|
1.76
|
19.5646
|
34.6235
|
|
3.55
|
59.3180
|
16.3611
|
|
7.40
|
92.9704
|
7.7664
|
|
1.78
|
20.1458
|
34.1802
|
|
3.60
|
60.0915
|
16.1276
|
|
7.50
|
93.4397
|
7.6623
|
|
1.80
|
20.7251
|
33.7490
|
|
3.65
|
60.8504
|
15.9008
|
|
7.60
|
93.8977
|
7.5608
|
|
1.82
|
21.3021
|
33.3293
|
|
3.70
|
61.5953
|
15.6804
|
|
7.70
|
94.3448
|
7.4621
|
|
1.84
|
21.8768
|
32.9207
|
|
3.75
|
62.3263
|
15.4660
|
|
7.80
|
94.7814
|
7.3659
|
|
1.86
|
22.4492
|
32.5227
|
|
3.80
|
63.0438
|
15.2575
|
|
7.9
|
95.2080
|
7.2721
|
|
1.88
|
23.0190
|
32.1349
|
|
3.85
|
63.7481
|
15.0547
|
|
8.00
|
95.6247
|
7.1808
|
|
1.90
|
23.5861
|
31.7569
|
|
3.90
|
64.4395
|
14.8572
|
|
9.00
|
99.3181
|
6.3794
|
| |
|
1.92
|
24.1506
|
31.3882
|
|
3.95
|
65.1183
|
14.6649
|
|
10.00
|
102.3163
|
5.7392
|
|
1.94
|
24.7123
|
31.0285
|
|
4.00
|
65.7848
|
14.4775
|
|
11.00
|
104.7957
|
5.2159
|
|
1.96
|
25.2711
|
30.6774
|
|
4.05
|
66.4393
|
14.2949
|
|
12.00
|
106.8786
|
4.7802
|
|
1.98
|
25.8269
|
30.3347
|
|
4.10
|
67.0820
|
14.1170
|
|
13.00
|
108.6522
|
4.4117
|
|
2.00
|
26.3798
|
30.0000
|
|
4.15
|
67.7132
|
13.9434
|
|
14.00
|
110.1798
|
4.0960
|
|
2.02
|
26.9295
|
29.6730
|
|
4.20
|
68.3332
|
13.7741
|
|
15.00
|
111.5091
|
3.8226
|
|
2.04
|
27.4762
|
29.3535
|
|
4.25
|
68.9423
|
13.6090
|
|
16.00
|
112.6759
|
3.5833
|
|
2.06
|
28.0197
|
29.0411
|
|
4.30
|
69.5406
|
13.4477
|
|
17.00
|
113.7082
|
3.3723
|
|
2.08
|
28.5600
|
28.7357
|
|
4.35
|
70.1285
|
13.2903
|
|
18.00
|
114.6278
|
3.1847
|
|
2.10
|
29.0971
|
28.4369
|
|
4.40
|
70.7062
|
13.1366
|
|
19.00
|
115.4522
|
3.0170
|
|
2.12
|
29.6308
|
28.1446
|
|
4.45
|
71.2738
|
12.9864
|
|
20.00
|
116.1953
|
2.8660
|
|
2.14
|
30.1613
|
27.8585
|
|
4.50
|
71.8317
|
12.8396
|
|
22.00
|
117.4813
|
2.6053
|
|
2.16
|
30.6884
|
27.5785
|
|
4.55
|
72.3801
|
12.6961
|
|
24.00
|
118.5553
|
2.3880
|
|
2.18
|
31.2121
|
27.3043
|
|
4.60
|
72.9192
|
12.5559
|
|
26.00
|
119.4654
|
2.2042
|
| |
|
2.20
|
31.7325
|
27.0357
|
|
4.65
|
73.4491
|
12.4187
|
|
28.00
|
120.2465
|
2.0467
|
|
2.22
|
32.2494
|
26.7726
|
|
4.70
|
73.9701
|
12.2845
|
|
30.00
|
120.9242
|
1.9102
|
|
2.24
|
32.7629
|
26.5148
|
|
4.75
|
74.4824
|
12.1532
|
|
32.00
|
121.5176
|
1.7908
|
|
2.26
|
33.2730
|
26.2621
|
|
4.80
|
74.9863
|
12.0247
|
|
34.00
|
122.0416
|
1.6854
|
|
2.28
|
33.7796
|
26.0144
|
|
4.85
|
75.4818
|
11.8989
|
|
36.00
|
122.5076
|
1.5918
|
|
2.30
|
34.2828
|
25.7715
|
|
4.90
|
75.9691
|
11.7757
|
|
38.00
|
122.9247
|
1.5080
|
|
2.32
|
34.7825
|
25.5332
|
|
4.95
|
76.4486
|
11.6551
|
|
40.00
|
123.3003
|
1.4325
|
|
2.34
|
35.2787
|
25.2995
|
|
5.00
|
76.9202
|
11.5370
|
|
42.00
|
123.6402
|
1.3643
|
|
2.36
|
35.7715
|
25.0702
|
|
5.05
|
77.3843
|
11.4212
|
|
44.00
|
123.9493
|
1.3023
|
|
2.38
|
36.2607
|
24.8452
|
|
5.10
|
77.8409
|
11.3077
|
|
46.00
|
124.2317
|
1.2457
|
|
2.40
|
36.7465
|
24.6243
|
|
5.15
|
78.2902
|
11.1965
|
|
48.00
|
124.4905
|
1.1937
|
|
2.42
|
37.2289
|
24.4075
|
|
5.20
|
78.7324
|
11.0875
|
|
50.00
|
124.7287
|
1.1460
|
|
2.44
|
37.7077
|
24.1945
|
|
5.25
|
79.1677
|
10.9806
|
|
|
|
|