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Prandtl-Meyer Tables
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M - Mach Number n - Flow angle µ - Mach wave angle 

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M |
n |
µ |
|
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 |
|
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 |
|
6.00 |
84.9555 |
9.5941 |
|
1.30 |
6.1703 |
50.2849 |
|
2.76 |
44.9059 |
21.2427 |
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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 |
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6.15 |
85.9671 |
9.3579 |
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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 |
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2.84 |
46.5731 |
20.6166 |
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6.25 |
86.6179 |
9.2069 |
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1.40 |
8.9870 |
45.5847 |
|
2.86 |
46.9820 |
20.4659 |
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6.30 |
86.9366 |
9.1332 |
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1.42 |
9.5650 |
44.7670 |
|
2.88 |
47.3877 |
20.3175 |
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6.35 |
87.2509 |
9.0607 |
|
1.44 |
10.1464 |
43.9830 |
|
2.90 |
47.7903 |
20.1713 |
|
6.40 |
87.5608 |
8.9893 |
|
1.46 |
10.7305 |
43.2302 |
|
2.92 |
48.1898 |
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 |
|
6.65 |
89.0488 |
8.6487 |
|
1.56 |
13.6770 |
39.8683 |
|
3.05 |
50.7127 |
19.1395 |
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6.70 |
89.3346 |
8.5837 |
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1.58 |
14.2686 |
39.2652 |
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3.10 |
51.6497 |
18.8191 |
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6.75 |
89.6167 |
8.5196 |
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1.60 |
14.8604 |
38.6822 |
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3.15 |
52.5688 |
18.5094 |
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6.80 |
89.8950 |
8.4565 |
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1.62 |
15.4518 |
38.1181 |
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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
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3.90 |
64.4395 |
14.8572 |
|
9.00 |
99.3181 |
6.3794 |
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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 |
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4.25 |
68.9423 |
13.6090 |
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16.00 |
112.6759 |
3.5833 |
|
2.06 |
28.0197 |
29.0411 |
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4.30 |
69.5406 |
13.4477 |
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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 |
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19.00 |
115.4522 |
3.0170 |
|
2.12 |
29.6308 |
28.1446 |
|
4.45 |
71.2738 |
12.9864 |
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20.00 |
116.1953 |
2.8660 |
|
2.14 |
30.1613 |
27.8585 |
|
4.50 |
71.8317 |
12.8396 |
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22.00 |
117.4813 |
2.6053 |
|
2.16 |
30.6884 |
27.5785 |
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4.55 |
72.3801 |
12.6961 |
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24.00 |
118.5553 |
2.3880 |
|
2.18 |
31.2121 |
27.3043 |
|
4.60 |
72.9192 |
12.5559 |
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26.00 |
119.4654 |
2.2042 |
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2.20 |
31.7325 |
27.0357 |
|
4.65 |
73.4491 |
12.4187 |
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28.00 |
120.2465 |
2.0467 |
|
2.22 |
32.2494 |
26.7726 |
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4.70 |
73.9701 |
12.2845 |
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30.00 |
120.9242 |
1.9102 |
|
2.24 |
32.7629 |
26.5148 |
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4.75 |
74.4824 |
12.1532 |
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32.00 |
121.5176 |
1.7908 |
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2.26 |
33.2730 |
26.2621 |
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4.80 |
74.9863 |
12.0247 |
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34.00 |
122.0416 |
1.6854 |
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2.28 |
33.7796 |
26.0144 |
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4.85 |
75.4818 |
11.8989 |
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36.00 |
122.5076 |
1.5918 |
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2.30 |
34.2828 |
25.7715 |
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4.90 |
75.9691 |
11.7757 |
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38.00 |
122.9247 |
1.5080 |
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2.32 |
34.7825 |
25.5332 |
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4.95 |
76.4486 |
11.6551 |
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40.00 |
123.3003 |
1.4325 |
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2.34 |
35.2787 |
25.2995 |
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5.00 |
76.9202 |
11.5370 |
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42.00 |
123.6402 |
1.3643 |
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2.36 |
35.7715 |
25.0702 |
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5.05 |
77.3843 |
11.4212 |
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44.00 |
123.9493 |
1.3023 |
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2.38 |
36.2607 |
24.8452 |
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5.10 |
77.8409 |
11.3077 |
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46.00 |
124.2317 |
1.2457 |
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2.40 |
36.7465 |
24.6243 |
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5.15 |
78.2902 |
11.1965 |
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48.00 |
124.4905 |
1.1937 |
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2.42 |
37.2289 |
24.4075 |
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5.20 |
78.7324 |
11.0875 |
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50.00 |
124.7287 |
1.1460 |
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2.44 |
37.7077 |
24.1945 |
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5.25 |
79.1677 |
10.9806 |
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