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| Isothermal Nozzle Flow |
Input: M |
k = 1.2 |
| M |
T0/T0* |
P0/P0* |
A/A* |
P/P* |
PAR |
F/F* |
| 1e-6 |
0.909091 |
1.02854 |
548812 |
1.82212 |
1e+6 |
454545 |
| 0.0500005 |
0.909318 |
1.02854 |
10.9926 |
1.81939 |
19.9998 |
9.11809 |
| 0.1 |
0.91 |
1.02854 |
5.52114 |
1.81122 |
10 |
4.6 |
| 0.2 |
0.912727 |
1.02849 |
2.81071 |
1.77891 |
5 |
2.38182 |
| 0.25 |
0.914773 |
1.02842 |
2.27913 |
1.75505 |
4 |
1.95455 |
| 0.3 |
0.917273 |
1.02829 |
1.93087 |
1.72633 |
3.33333 |
1.67879 |
| 0.35 |
0.920227 |
1.02808 |
1.68762 |
1.693 |
2.85714 |
1.48961 |
| 0.4 |
0.923636 |
1.02776 |
1.51027 |
1.65533 |
2.5 |
1.35455 |
| 0.45 |
0.9275 |
1.02729 |
1.37714 |
1.61365 |
2.22222 |
1.25556 |
| 0.5 |
0.931818 |
1.02664 |
1.27526 |
1.56831 |
2 |
1.18182 |
| 0.55 |
0.936591 |
1.02577 |
1.19642 |
1.51968 |
1.81818 |
1.12645 |
| 0.6 |
0.941818 |
1.02464 |
1.13522 |
1.46815 |
1.66667 |
1.08485 |
| 0.65 |
0.9475 |
1.02319 |
1.08794 |
1.41411 |
1.53846 |
1.05385 |
| 0.7 |
0.953636 |
1.02139 |
1.05198 |
1.35798 |
1.42857 |
1.03117 |
| 0.75 |
0.960227 |
1.01917 |
1.0255 |
1.30018 |
1.33333 |
1.01515 |
| 0.8 |
0.967273 |
1.01649 |
1.00717 |
1.2411 |
1.25 |
1.00455 |
| 0.85 |
0.974773 |
1.01328 |
0.996027 |
1.18116 |
1.17647 |
0.998396 |
| 0.9 |
0.982727 |
1.0095 |
0.991398 |
1.12075 |
1.11111 |
0.99596 |
| 0.95 |
0.991136 |
1.00509 |
0.992819 |
1.06024 |
1.05263 |
0.996651 |
| 1 |
1 |
1 |
1 |
1 |
1 |
1 |
| 1.05 |
1.00932 |
0.994167 |
1.01279 |
0.940353 |
0.952381 |
1.00563 |
| 1.1 |
1.01909 |
0.987544 |
1.03117 |
0.881615 |
0.909091 |
1.01322 |
| 1.15 |
1.02932 |
0.980081 |
1.05521 |
0.82407 |
0.869565 |
1.02253 |
| 1.2 |
1.04 |
0.971732 |
1.08511 |
0.767974 |
0.833333 |
1.03333 |
| 1.25 |
1.05114 |
0.962454 |
1.12115 |
0.713552 |
0.8 |
1.04545 |
| 1.3 |
1.06273 |
0.952211 |
1.16374 |
0.661001 |
0.769231 |
1.05874 |
| 1.35 |
1.07477 |
0.940969 |
1.21336 |
0.610486 |
0.740741 |
1.07306 |
| 1.4 |
1.08727 |
0.928704 |
1.27065 |
0.562142 |
0.714286 |
1.08831 |
| 1.45 |
1.10023 |
0.915395 |
1.33634 |
0.516077 |
0.689655 |
1.10439 |
| 1.5 |
1.11364 |
0.901031 |
1.41133 |
0.472367 |
0.666667 |
1.12121 |
| 1.55 |
1.1275 |
0.885606 |
1.49667 |
0.431063 |
0.645161 |
1.13871 |
| 1.6 |
1.14182 |
0.869125 |
1.5936 |
0.392193 |
0.625 |
1.15682 |
| 1.65 |
1.15659 |
0.851599 |
1.70357 |
0.35576 |
0.606061 |
1.17548 |
| 1.7 |
1.17182 |
0.833051 |
1.82827 |
0.321744 |
0.588235 |
1.19465 |
| 1.75 |
1.1875 |
0.813509 |
1.96971 |
0.290109 |
0.571429 |
1.21429 |
| 1.8 |
1.20364 |
0.793012 |
2.13019 |
0.2608 |
0.555556 |
1.23434 |
| 1.85 |
1.22023 |
0.771609 |
2.31247 |
0.233751 |
0.540541 |
1.25479 |
| 1.9 |
1.23727 |
0.749355 |
2.51972 |
0.208879 |
0.526316 |
1.2756 |
| 1.95 |
1.25477 |
0.726314 |
2.7557 |
0.186095 |
0.512821 |
1.29674 |
| 2 |
1.27273 |
0.702558 |
3.02482 |
0.165299 |
0.5 |
1.31818 |
| 2.25 |
1.36932 |
0.576015 |
5.0864 |
0.087379 |
0.444444 |
1.42929 |
| 2.5 |
1.47727 |
0.445386 |
9.33443 |
0.0428521 |
0.4 |
1.54545 |
| 2.75 |
1.59659 |
0.322944 |
18.651 |
0.0194969 |
0.363636 |
1.66529 |
| 3 |
1.72727 |
0.218551 |
40.5035 |
0.00822975 |
0.333333 |
1.78788 |
| 3.25 |
1.86932 |
0.13751 |
95.4731 |
0.00322282 |
0.307692 |
1.91259 |
| 3.5 |
2.02273 |
0.080193 |
244.017 |
0.00117088 |
0.285714 |
2.03896 |
| 3.75 |
2.1875 |
0.043242 |
675.697 |
0.000394654 |
0.266667 |
2.16667 |
| 4 |
2.36364 |
0.0215196 |
2025.77 |
0.00012341 |
0.25 |
2.29545 |
| 4.25 |
2.55114 |
0.00986989 |
6572.05 |
3.58022e-5 |
0.235294 |
2.42513 |
| 4.5 |
2.75 |
0.00416769 |
23061.6 |
9.63604e-6 |
0.222222 |
2.55556 |
| 4.75 |
2.96023 |
0.00161907 |
87496.6 |
2.40611e-6 |
0.210526 |
2.6866 |
| 5 |
3.18182 |
0.000578378 |
358815 |
5.5739e-7 |
0 |
2.81818 |
| 5.25 |
3.41477 |
0.000189934 |
1.59004e+6 |
1.19793e-7 |
0 |
2.95022 |
| 5.5 |
3.65909 |
5.73286e-5 |
7.61212e+6 |
2.38854e-8 |
0 |
3.08264 |
| 5.75 |
3.91477 |
1.59037e-5 |
3.93616e+7 |
4.41835e-9 |
0 |
3.21542 |
| 6 |
4.18182 |
4.05515e-6 |
2.19803e+8 |
7.58256e-10 |
0 |
3.34848 |
| 6.25 |
4.46023 |
9.50477e-7 |
1.32532e+9 |
1.20726e-10 |
0 |
3.48182 |
| 6.5 |
4.75 |
2.0482e-7 |
8.6273e+9 |
1.78325e-11 |
0 |
3.61538 |
| 6.75 |
5.05114 |
4.05869e-8 |
6.0624e+10 |
2.44372e-12 |
0 |
3.74916 |
| 7 |
5.36364 |
7.39733e-9 |
4.59815e+11 |
3.10684e-13 |
0 |
3.88312 |
| 7.25 |
5.6875 |
1.24035e-9 |
3.76398e+12 |
3.6645e-14 |
0 |
4.01724 |
| 7.5 |
6.02273 |
1.9138e-10 |
3.32507e+13 |
4.00994e-15 |
0 |
4.15152 |
| 7.75 |
6.36932 |
2.71798e-11 |
3.16963e+14 |
4.07089e-16 |
0 |
4.28592 |
| 8 |
6.72727 |
3.55388e-12 |
3.26018e+15 |
3.83415e-17 |
0 |
4.42045 |
| 8.25 |
7.09659 |
4.27932e-13 |
3.61801e+16 |
3.35024e-18 |
0 |
4.5551 |
| 8.5 |
7.47727 |
4.74646e-14 |
4.33182e+17 |
2.71588e-19 |
0 |
4.68984 |
| 8.75 |
7.86932 |
4.85061e-15 |
5.59523e+18 |
2.04256e-20 |
0 |
4.82468 |
| 9 |
8.27273 |
4.56833e-16 |
7.79637e+19 |
1.42516e-21 |
0 |
4.9596 |
| 9.25 |
8.6875 |
3.966e-17 |
1.17186e+21 |
9.22537e-23 |
0 |
5.09459 |
| 9.5 |
9.11364 |
3.17454e-18 |
1.89997e+22 |
5.54026e-24 |
0 |
5.22967 |
| 9.75 |
9.55114 |
2.34334e-19 |
3.32269e+23 |
3.08678e-25 |
0 |
5.3648 |
| 10 |
10 |
1.59554e-20 |
6.26747e+24 |
1.59554e-26 |
0 |
5.5 |
| 20 |
37.2727 |
2.87242e-95 |
4.66733e+102 |
1.07128e-104 |
0 |
10.9318 |
| 30 |
82.7273 |
1.76786e-223 |
6.04397e+232 |
5.51514e-235 |
0 |
16.3788 |
| 40 |
146.364 |
0 |
inf |
0 |
0 |
21.8295 |
| 50 |
228.182 |
0 |
inf |
0 |
0 |
27.2818 |
Table 2.2:
Isothermal Table
|
|
|
|
|
|
|
| 0.00 |
0.52828 |
1.064 |
5.0E+5 |
2.014 |
1.0E+6 |
4.2E+5 |
| 0.05 |
0.52921 |
1.064 |
9.949 |
2.010 |
20.00 |
8.362 |
| 0.1 |
0.53199 |
1.064 |
5.001 |
2.000 |
10.00 |
4.225 |
| 0.2 |
0.54322 |
1.064 |
2.553 |
1.958 |
5.000 |
2.200 |
| 0.3 |
0.56232 |
1.063 |
1.763 |
1.891 |
3.333 |
1.564 |
| 0.4 |
0.58985 |
1.062 |
1.389 |
1.800 |
2.500 |
1.275 |
| 0.5 |
0.62665 |
1.059 |
1.183 |
1.690 |
2.000 |
1.125 |
| 0.6 |
0.67383 |
1.055 |
1.065 |
1.565 |
1.667 |
1.044 |
| 0.7 |
0.73278 |
1.047 |
0.99967 |
1.429 |
1.429 |
1.004 |
| 0.8 |
0.80528 |
1.036 |
0.97156 |
1.287 |
1.250 |
0.98750 |
| 0.9 |
0.89348 |
1.021 |
0.97274 |
1.142 |
1.111 |
0.98796 |
| 1.00 |
1.000 |
1.000 |
1.000 |
1.000 |
1.000 |
1.000 |
| 1.10 |
1.128 |
0.97376 |
1.053 |
0.86329 |
0.90909 |
1.020 |
| 1.20 |
1.281 |
0.94147 |
1.134 |
0.73492 |
0.83333 |
1.047 |
| 1.30 |
1.464 |
0.90302 |
1.247 |
0.61693 |
0.76923 |
1.079 |
| 1.40 |
1.681 |
0.85853 |
1.399 |
0.51069 |
0.71429 |
1.114 |
| 1.50 |
1.939 |
0.80844 |
1.599 |
0.41686 |
0.66667 |
1.153 |
| 1.60 |
2.245 |
0.75344 |
1.863 |
0.33554 |
0.62500 |
1.194 |
| 1.70 |
2.608 |
0.69449 |
2.209 |
0.26634 |
0.58824 |
1.237 |
| 1.80 |
3.035 |
0.63276 |
2.665 |
0.20846 |
0.55556 |
1.281 |
| 1.90 |
3.540 |
0.56954 |
3.271 |
0.16090 |
0.52632 |
1.328 |
| 2.00 |
4.134 |
0.50618 |
4.083 |
0.12246 |
0.50000 |
1.375 |
| 2.50 |
9.026 |
0.22881 |
15.78 |
0.025349 |
0.40000 |
1.625 |
| 3.000 |
19.41 |
0.071758 |
90.14 |
0.00370 |
0.33333 |
1.889 |
| 3.500 |
40.29 |
0.015317 |
7.5E+2 |
0.000380 |
0.28571 |
2.161 |
| 4.000 |
80.21 |
0.00221 |
9.1E+3 |
2.75E-5 |
0.25000 |
2.438 |
| 4.500 |
1.5E+2 |
0.000215 |
1.6E+5 |
1.41E-6 |
0.22222 |
2.718 |
| 5.000 |
2.8E+2 |
1.41E-5 |
4.0E+6 |
0.0 |
0.20000 |
3.000 |
| 5.500 |
4.9E+2 |
0.0 |
1.4E+8 |
0.0 |
0.18182 |
3.284 |
| 6.000 |
8.3E+2 |
0.0 |
7.3E+9 |
0.0 |
0.16667 |
3.569 |
| 6.500 |
1.4E+3 |
0.0 |
5.3E+11 |
0.0 |
0.15385 |
3.856 |
| 7.000 |
2.2E+3 |
0.0 |
5.6E+13 |
0.0 |
0.14286 |
4.143 |
| 7.500 |
3.4E+3 |
0.0 |
8.3E+15 |
0.0 |
0.13333 |
4.431 |
| 8.000 |
5.2E+3 |
0.0 |
1.8E+18 |
0.0 |
0.12500 |
4.719 |
| 8.500 |
7.7E+3 |
0.0 |
5.4E+20 |
0.0 |
0.11765 |
5.007 |
| 9.000 |
1.1E+4 |
0.0 |
2.3E+23 |
0.0 |
0.11111 |
5.296 |
| 9.500 |
1.6E+4 |
0.0 |
1.4E+26 |
0.0 |
0.10526 |
5.586 |
| 10.00 |
2.2E+4 |
0.0 |
1.2E+29 |
0.0 |
0.100000 |
5.875 |
Next: Isothermal Nozzle for k=1.3
Up: Isothermal Nozzle
Previous: Isothermal Nozzle
Contents
genick
2007-12-04