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Isothermal Nozzle for k=1.2

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
$ \rule[-.1in]{0.pt}{0.3 in}\mathbf{M} $ $ \mathbf{T_0 \over {T_0}^{\star}} $ $ \mathbf{P_0 \over {P_0}^{\star}} $ $ \mathbf{A \over A^{\star}} $ $ \mathbf{P \over P^{\star}} $ $ \mathbf{A\times P \over A^{*} \times P_0} $ $ \mathbf{F \over F^{*}} $
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 up previous contents
Next: Isothermal Nozzle for k=1.3 Up: Isothermal Nozzle Previous: Isothermal Nozzle   Contents
genick 2007-12-04