Moto Isentropico (γ=1.4) Moto Isentropico (γ=1.4) M p /p o ρ/ρo T /T o ρV /2p o A /A * .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 .10 .11 .12 .13 .14 .15 .16 .17 .18 .19 .20 .21 .22 .23 .24 .25 .26 .27 .28 .29 .30 .31 .32 .33 .34 .35 .36 .37 .38 .39 .40 .41 .42 .43 .44 .45 .46 .47 .48 .49 1.000 .9999 .9997 .9994 .9989 .9983 .9975 .9966 .9955 .9944 .9930 .9916 .9900 .9883 .9864 .9844 .9823 .9800 .9776 .9751 .9725 .9697 .9668 .9638 .9607 .9575 .9541 .9506 .9470 .9433 .9395 .9355 .9315 .9274 .9231 .9188 .9143 .9098 .9052 .9004 .8956 .8907 .8857 .8807 .8755 .8703 .8650 .8596 .8541 .8486 1.000 1.000 .9998 .9996 .9992 .9988 .9982 .9976 .9968 .9960 .9950 .9940 .9928 .9916 .9903 .9888 .9873 .9857 .9840 .9822 .9803 .9783 .9762 .9740 .9718 .9694 .9670 .9645 .9619 .9592 .9564 .9535 .9506 .9476 .9445 .9413 .9380 .9347 .9313 .9278 .9243 .9207 .9170 .9132 .9094 .9055 .9016 .8976 .8935 .8894 1.000 1.000 .9999 .9998 .9997 .9995 .9993 .9990 .9987 .9984 .9980 .9976 .9971 .9966 .9961 .9955 .9949 .9943 .9936 .9928 .9921 .9913 .9904 .9895 .9886 .9877 .9867 .9856 .9846 .9835 .9823 .9811 .9799 .9787 .9774 .9761 .9747 .9733 .9719 .9705 .9690 .9675 .9659 .9643 .9627 .9611 .9594 .9577 .9559 .9542 .0000 .7000 .2799 .6296 .1119 .1747 .2514 .3418 .4460 .5638 .6951 .8399 .9979 .1169 .1353 .1550 .1760 .1983 .2217 .2464 .2723 .2994 .3276 .3569 .3874 .4189 .4515 .4851 .5197 .5553 .5919 .6293 .6677 .7069 .7470 .7878 .8295 .8719 .9149 .9587 .1003 .1048 .1094 .1140 .1186 .1234 .1281 .1329 .1378 .1426 ∞ 5.787 2.894 1.930 1.448 1.159 9.666 8.292 7.262 6.461 5.822 5.299 4.864 4.497 4.182 3.910 3.673 3.464 3.278 3.112 2.964 2.829 2.708 2.597 2.496 2.403 2.317 2.238 2.166 2.098 2.035 1.977 1.922 1.871 1.823 1.778 1.736 1.696 1.659 1.623 1.590 1.559 1.529 1.501 1.474 1.449 1.425 1.402 1.380 1.359 2 -4 -3 -3 -2 -2 -2 -2 -2 -2 -2 -2 -2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 M* +1 +1 +1 +1 +1 .0000 .1095 .2191 .3286 .4381 .5476 .6570 .7664 .8758 .9851 .1094 .1204 .1313 .1422 .1531 .1639 .1748 .1857 .1965 .2074 .2182 .2290 .2398 .2506 .2614 .2722 .2829 .2936 .3043 .3150 .3257 .3364 .3470 .3576 .3682 .3788 .3893 .3999 .4104 .4209 .4313 .4418 .4522 .4626 .4729 .4833 .4936 .5038 .5141 .5243 -1 -1 -1 -1 -1 -1 -1 -1 -1 M p /p o ρ/ρo T /T o ρV 2/2p o A /A * M* .50 .51 .52 .53 .54 .55 .56 .57 .58 .59 .60 .61 .62 .63 .64 .65 .66 .67 .68 .69 .70 .71 .72 .73 .74 .75 .76 .77 .78 .79 .80 .81 .82 .83 .84 .85 .86 .87 .88 .89 .90 .91 .92 .93 .94 .95 .96 .97 .98 .99 .8430 .8374 .8317 .8259 .8201 .8142 .8082 .8022 .7962 .7901 .7840 .7778 .7716 .7654 .7591 .7528 .7465 .7401 .7338 .7274 .7209 .7145 .7080 .7016 .6951 .6886 .6821 .6756 .6691 .6625 .6560 .6495 .6430 .6365 .6300 .6235 .6170 .6106 .6041 .5977 .5913 .5849 .5785 .5721 .5658 .5595 .5532 .5469 .5407 .5345 .8852 .8809 .8766 .8723 .8679 .8634 .8589 .8544 .8498 .8451 .8405 .8357 .8310 .8262 .8213 .8164 .8115 .8066 .8016 .7966 .7916 .7865 .7814 .7763 .7712 .7660 .7609 .7557 .7505 .7452 .7400 .7347 .7295 .7242 .7189 .7136 .7083 .7030 .6977 .6924 .6870 .6817 .6764 .6711 .6658 .6604 .6551 .6498 .6445 .6392 .9524 .9506 .9487 .9468 .9449 .9430 .9410 .9390 .9370 .9349 .9328 .9307 .9286 .9265 .9243 .9221 .9199 .9176 .9153 .9131 .9107 .9084 .9061 .9037 .9013 .8989 .8964 .8940 .8915 .8890 .8865 .8840 .8815 .8789 .8763 .8737 .8711 .8685 .8659 .8632 .8606 .8579 .8552 .8525 .8498 .8471 .8444 .8416 .8389 .8361 .1475 .1525 .1574 .1624 .1674 .1724 .1774 .1825 .1875 .1925 .1976 .2026 .2076 .2127 .2177 .2226 .2276 .2326 .2375 .2424 .2473 .2521 .2569 .2617 .2664 .2711 .2758 .2804 .2849 .2894 .2939 .2983 .3026 .3069 .3112 .3153 .3195 .3235 .3275 .3314 .3352 .3390 .3427 .3464 .3499 .3534 .3569 .3602 .3635 .3667 1.340 1.321 1.303 1.286 1.270 1.255 1.240 1.226 1.213 1.200 1.188 1.177 1.166 1.155 1.145 1.136 1.127 1.118 1.110 1.102 1.094 1.087 1.081 1.074 1.068 1.062 1.057 1.052 1.047 1.043 1.038 1.034 1.030 1.027 1.024 1.021 1.018 1.015 1.013 1.011 1.009 1.007 1.006 1.004 1.003 1.002 1.001 1.001 1.000 1.000 .5345 .5447 .5548 .5649 .5750 .5851 .5951 .6051 .6150 .6249 .6348 .6447 .6545 .6643 .6740 .6837 .6934 .7031 .7127 .7223 .7318 .7413 .7508 .7602 .7696 .7789 .7883 .7975 .8068 .8160 .8251 .8343 .8433 .8524 .8614 .8704 .8793 .8882 .8970 .9058 .9146 .9233 .9320 .9407 .9493 .9578 .9663 .9748 .9833 .9916 1/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o ρ/ρo T /T o ρV /2p o A /A * M* ν(°) 1.00 1.01 1.02 1.03 1.04 1.05 1.06 1.07 1.08 1.09 1.10 1.11 1.12 1.13 1.14 1.15 1.16 1.17 1.18 1.19 1.20 1.21 1.22 1.23 1.24 1.25 1.26 1.27 1.28 1.29 1.30 1.31 1.32 1.33 1.34 1.35 1.36 1.37 1.38 1.39 1.40 1.41 1.42 1.43 1.44 1.45 1.46 1.47 1.48 1.49 .5283 .5221 .5160 .5099 .5039 .4979 .4919 .4860 .4800 .4742 .4684 .4626 .4568 .4511 .4455 .4398 .4343 .4287 .4232 .4178 .4124 .4070 .4017 .3964 .3912 .3861 .3809 .3759 .3708 .3658 .3609 .3560 .3512 .3464 .3417 .3370 .3323 .3277 .3232 .3187 .3142 .3098 .3055 .3012 .2969 .2927 .2886 .2845 .2804 .2764 .6339 .6287 .6234 .6181 .6129 .6077 .6024 .5972 .5920 .5869 .5817 .5766 .5714 .5663 .5612 .5562 .5511 .5461 .5411 .5361 .5311 .5262 .5213 .5164 .5115 .5067 .5019 .4971 .4923 .4876 .4829 .4782 .4736 .4690 .4644 .4598 .4553 .4508 .4463 .4418 .4374 .4330 .4287 .4244 .4201 .4158 .4116 .4074 .4032 .3991 .8333 .8306 .8278 .8250 .8222 .8193 .8165 .8137 .8108 .8080 .8052 .8023 .7994 .7966 .7937 .7908 .7879 .7851 .7822 .7793 .7764 .7735 .7706 .7677 .7648 .7619 .7590 .7561 .7532 .7503 .7474 .7445 .7416 .7387 .7358 .7329 .7300 .7271 .7242 .7213 .7184 .7155 .7126 .7097 .7069 .7040 .7011 .6982 .6954 .6925 .3698 .3728 .3758 .3787 .3815 .3842 .3869 .3895 .3919 .3944 .3967 .3990 .4011 .4032 .4052 .4072 .4090 .4108 .4125 .4141 .4157 .4171 .4185 .4198 .4211 .4223 .4233 .4244 .4253 .4262 .4270 .4277 .4283 .4289 .4294 .4299 .4303 .4306 .4308 .4310 .4311 .4312 .4312 .4311 .4310 .4308 .4306 .4303 .4299 .4295 1.000 1.000 1.000 1.001 1.001 1.002 1.003 1.004 1.005 1.006 1.008 1.010 1.011 1.013 1.015 1.017 1.020 1.022 1.025 1.028 1.030 1.033 1.037 1.040 1.043 1.047 1.050 1.054 1.058 1.062 1.066 1.071 1.075 1.080 1.084 1.089 1.094 1.099 1.104 1.109 1.115 1.120 1.126 1.132 1.138 1.144 1.150 1.156 1.163 1.169 1.000 1.008 1.017 1.025 1.033 1.041 1.049 1.057 1.065 1.073 1.081 1.089 1.097 1.105 1.113 1.120 1.128 1.136 1.143 1.151 1.158 1.166 1.173 1.181 1.188 1.195 1.202 1.210 1.217 1.224 1.231 1.238 1.245 1.252 1.259 1.266 1.273 1.280 1.286 1.293 1.300 1.307 1.313 1.320 1.326 1.333 1.339 1.346 1.352 1.358 .0000 .4472 .1257 .2294 .3510 .4874 .6367 .7973 .9680 1.148 1.336 1.532 1.735 1.944 2.160 2.381 2.607 2.839 3.074 3.314 3.558 3.806 4.057 4.312 4.569 4.830 5.093 5.359 5.627 5.898 6.170 6.445 6.721 7.000 7.279 7.561 7.844 8.128 8.413 8.699 8.987 9.276 9.565 9.855 1.015 1.044 1.073 1.102 1.132 1.161 2 µ(°) -1 +1 +1 +1 +1 +1 +1 9.000 8.193 7.864 7.614 7.406 7.225 7.063 6.916 6.781 6.655 6.538 6.428 6.323 6.225 6.131 6.041 5.955 5.873 5.794 5.718 5.644 5.574 5.505 5.439 5.375 5.313 5.253 5.194 5.138 5.082 5.028 4.976 4.925 4.875 4.827 4.779 4.733 4.688 4.644 4.601 4.558 4.517 4.477 4.437 4.398 4.360 4.323 4.286 4.251 4.216 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 ρ2 /ρ1 T 2 /T 1 1.000 .9901 .9805 .9712 .9620 .9531 .9444 .9360 .9277 .9196 .9118 .9041 .8966 .8892 .8820 .8750 .8682 .8615 .8549 .8485 .8422 .8360 .8300 .8241 .8183 .8126 .8071 .8016 .7963 .7911 .7860 .7809 .7760 .7712 .7664 .7618 .7572 .7527 .7483 .7440 .7397 .7355 .7314 .7274 .7235 .7196 .7157 .7120 .7083 .7047 1.000 1.023 1.047 1.071 1.095 1.120 1.144 1.169 1.194 1.219 1.245 1.271 1.297 1.323 1.350 1.376 1.403 1.430 1.458 1.485 1.513 1.541 1.570 1.598 1.627 1.656 1.686 1.715 1.745 1.775 1.805 1.835 1.866 1.897 1.928 1.960 1.991 2.023 2.055 2.087 2.120 2.153 2.186 2.219 2.253 2.286 2.320 2.354 2.389 2.423 1.000 1.017 1.033 1.050 1.067 1.084 1.101 1.118 1.135 1.152 1.169 1.186 1.203 1.221 1.238 1.255 1.272 1.290 1.307 1.324 1.342 1.359 1.376 1.394 1.411 1.429 1.446 1.463 1.481 1.498 1.516 1.533 1.551 1.568 1.585 1.603 1.620 1.638 1.655 1.672 1.690 1.707 1.724 1.742 1.759 1.776 1.793 1.811 1.828 1.845 1.000 1.007 1.013 1.020 1.026 1.033 1.039 1.046 1.052 1.059 1.065 1.071 1.078 1.084 1.090 1.097 1.103 1.109 1.115 1.122 1.128 1.134 1.141 1.147 1.153 1.159 1.166 1.172 1.178 1.185 1.191 1.197 1.204 1.210 1.216 1.223 1.229 1.235 1.242 1.248 1.255 1.261 1.268 1.274 1.281 1.287 1.294 1.300 1.307 1.314 p o2 /p 01 p 1 /p 02 1.000 1.000 1.000 1.000 .9999 .9999 .9998 .9996 .9994 .9992 .9989 .9986 .9982 .9978 .9973 .9967 .9961 .9953 .9946 .9937 .9928 .9918 .9907 .9896 .9884 .9871 .9857 .9842 .9827 .9811 .9794 .9776 .9758 .9738 .9718 .9697 .9676 .9653 .9630 .9607 .9582 .9557 .9531 .9504 .9476 .9448 .9420 .9390 .9360 .9329 .5283 .5221 .5160 .5100 .5039 .4979 .4920 .4861 .4803 .4746 .4689 .4632 .4576 .4521 .4467 .4413 .4360 .4307 .4255 .4204 .4154 .4104 .4055 .4006 .3958 .3911 .3865 .3819 .3774 .3729 .3685 .3642 .3599 .3557 .3516 .3475 .3435 .3395 .3356 .3317 .3280 .3242 .3205 .3169 .3133 .3098 .3063 .3029 .2996 .2962 2/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o ρ/ρo T /T o ρV /2p o A /A * M* ν(°) 1.50 1.51 1.52 1.53 1.54 1.55 1.56 1.57 1.58 1.59 1.60 1.61 1.62 1.63 1.64 1.65 1.66 1.67 1.68 1.69 1.70 1.71 1.72 1.73 1.74 1.75 1.76 1.77 1.78 1.79 1.80 1.81 1.82 1.83 1.84 1.85 1.86 1.87 1.88 1.89 1.90 1.91 1.92 1.93 1.94 1.95 1.96 1.97 1.98 1.99 .2724 .2685 .2646 .2608 .2570 .2533 .2496 .2459 .2423 .2388 .2353 .2318 .2284 .2250 .2217 .2184 .2151 .2119 .2088 .2057 .2026 .1996 .1966 .1936 .1907 .1878 .1850 .1822 .1794 .1767 .1740 .1714 .1688 .1662 .1637 .1612 .1587 .1563 .1539 .1516 .1492 .1470 .1447 .1425 .1403 .1381 .1360 .1339 .1318 .1298 .3950 .3909 .3869 .3829 .3789 .3750 .3710 .3672 .3633 .3595 .3557 .3520 .3483 .3446 .3409 .3373 .3337 .3302 .3266 .3232 .3197 .3163 .3129 .3095 .3062 .3029 .2996 .2964 .2931 .2900 .2868 .2837 .2806 .2776 .2745 .2715 .2686 .2656 .2627 .2598 .2570 .2542 .2514 .2486 .2459 .2432 .2405 .2378 .2352 .2326 .6897 .6868 .6840 .6811 .6783 .6754 .6726 .6698 .6670 .6642 .6614 .6586 .6558 .6530 .6502 .6475 .6447 .6419 .6392 .6364 .6337 .6310 .6283 .6256 .6229 .6202 .6175 .6148 .6121 .6095 .6068 .6041 .6015 .5989 .5963 .5936 .5910 .5884 .5859 .5833 .5807 .5782 .5756 .5731 .5705 .5680 .5655 .5630 .5605 .5580 .4290 .4285 .4279 .4273 .4266 .4259 .4252 .4243 .4235 .4226 .4216 .4206 .4196 .4185 .4174 .4162 .4150 .4138 .4125 .4112 .4098 .4085 .4071 .4056 .4041 .4026 .4011 .3996 .3980 .3964 .3947 .3931 .3914 .3897 .3879 .3862 .3844 .3826 .3808 .3790 .3771 .3753 .3734 .3715 .3696 .3677 .3657 .3638 .3618 .3598 1.176 1.183 1.190 1.197 1.204 1.212 1.219 1.227 1.234 1.242 1.250 1.258 1.267 1.275 1.284 1.292 1.301 1.310 1.319 1.328 1.338 1.347 1.357 1.367 1.376 1.386 1.397 1.407 1.418 1.428 1.439 1.450 1.461 1.472 1.484 1.495 1.507 1.519 1.531 1.543 1.555 1.568 1.580 1.593 1.606 1.619 1.633 1.646 1.660 1.674 1.365 1.371 1.377 1.383 1.389 1.395 1.402 1.408 1.414 1.419 1.425 1.431 1.437 1.443 1.449 1.454 1.460 1.466 1.471 1.477 1.482 1.488 1.493 1.499 1.504 1.510 1.515 1.520 1.526 1.531 1.536 1.541 1.546 1.551 1.556 1.561 1.566 1.571 1.576 1.581 1.586 1.591 1.596 1.600 1.605 1.610 1.615 1.619 1.624 1.628 1.191 1.220 1.249 1.279 1.309 1.338 1.368 1.397 1.427 1.456 1.486 1.516 1.545 1.575 1.604 1.634 1.663 1.693 1.722 1.752 1.781 1.810 1.840 1.869 1.898 1.927 1.956 1.986 2.015 2.044 2.073 2.101 2.130 2.159 2.188 2.216 2.245 2.273 2.302 2.330 2.359 2.387 2.415 2.443 2.471 2.499 2.527 2.555 2.583 2.610 2 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 4.181 4.147 4.114 4.081 4.049 4.018 3.987 3.956 3.927 3.897 3.868 3.840 3.812 3.784 3.757 3.731 3.704 3.678 3.653 3.628 3.603 3.579 3.555 3.531 3.508 3.485 3.462 3.440 3.418 3.396 3.375 3.354 3.333 3.312 3.292 3.272 3.252 3.233 3.213 3.194 3.176 3.157 3.139 3.121 3.103 3.085 3.068 3.051 3.033 3.017 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 ρ2 /ρ1 T 2 /T 1 .7011 .6976 .6941 .6907 .6874 .6841 .6809 .6777 .6746 .6715 .6684 .6655 .6625 .6596 .6568 .6540 .6512 .6485 .6458 .6431 .6405 .6380 .6355 .6330 .6305 .6281 .6257 .6234 .6210 .6188 .6165 .6143 .6121 .6099 .6078 .6057 .6036 .6016 .5996 .5976 .5956 .5937 .5918 .5899 .5880 .5862 .5844 .5826 .5808 .5791 2.458 2.493 2.529 2.564 2.600 2.636 2.673 2.709 2.746 2.783 2.820 2.857 2.895 2.933 2.971 3.010 3.048 3.087 3.126 3.165 3.205 3.245 3.285 3.325 3.366 3.406 3.447 3.488 3.530 3.571 3.613 3.655 3.698 3.740 3.783 3.826 3.870 3.913 3.957 4.001 4.045 4.089 4.134 4.179 4.224 4.270 4.315 4.361 4.407 4.453 1.862 1.879 1.896 1.913 1.930 1.947 1.964 1.981 1.998 2.015 2.032 2.049 2.065 2.082 2.099 2.115 2.132 2.148 2.165 2.181 2.198 2.214 2.230 2.247 2.263 2.279 2.295 2.311 2.327 2.343 2.359 2.375 2.391 2.407 2.422 2.438 2.454 2.469 2.485 2.500 2.516 2.531 2.546 2.562 2.577 2.592 2.607 2.622 2.637 2.652 1.320 1.327 1.334 1.340 1.347 1.354 1.361 1.367 1.374 1.381 1.388 1.395 1.402 1.409 1.416 1.423 1.430 1.437 1.444 1.451 1.458 1.466 1.473 1.480 1.487 1.495 1.502 1.509 1.517 1.524 1.532 1.539 1.547 1.554 1.562 1.569 1.577 1.585 1.592 1.600 1.608 1.616 1.624 1.631 1.639 1.647 1.655 1.663 1.671 1.679 p o2 /p 01 p 1 /p 02 .9298 .9266 .9233 .9200 .9166 .9132 .9097 .9062 .9026 .8989 .8952 .8915 .8877 .8838 .8799 .8760 .8720 .8680 .8639 .8599 .8557 .8516 .8474 .8431 .8389 .8346 .8302 .8259 .8215 .8171 .8127 .8082 .8038 .7993 .7948 .7902 .7857 .7811 .7765 .7720 .7674 .7627 .7581 .7535 .7488 .7442 .7395 .7349 .7302 .7255 .2930 .2898 .2866 .2835 .2804 .2773 .2743 .2714 .2685 .2656 .2628 .2600 .2573 .2546 .2519 .2493 .2467 .2442 .2417 .2392 .2368 .2343 .2320 .2296 .2273 .2251 .2228 .2206 .2184 .2163 .2142 .2121 .2100 .2080 .2060 .2040 .2020 .2001 .1982 .1963 .1945 .1927 .1909 .1891 .1873 .1856 .1839 .1822 .1806 .1789 3/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o ρ/ρo T /T o ρV /2p o A /A * M* ν(°) 2.00 2.01 2.02 2.03 2.04 2.05 2.06 2.07 2.08 2.09 2.10 2.11 2.12 2.13 2.14 2.15 2.16 2.17 2.18 2.19 2.20 2.21 2.22 2.23 2.24 2.25 2.26 2.27 2.28 2.29 2.30 2.31 2.32 2.33 2.34 2.35 2.36 2.37 2.38 2.39 2.40 2.41 2.42 2.43 2.44 2.45 2.46 2.47 2.48 2.49 .1278 .1258 .1239 .1220 .1201 .1182 .1164 .1146 .1128 .1111 .1094 .1077 .1060 .1043 .1027 .1011 .9956 .9802 .9649 .9500 .9352 .9207 .9064 .8923 .8785 .8648 .8514 .8382 .8251 .8123 .7997 .7873 .7751 .7631 .7512 .7396 .7281 .7168 .7057 .6948 .6840 .6734 .6630 .6527 .6426 .6327 .6229 .6133 .6038 .5945 .2300 .2275 .2250 .2225 .2200 .2176 .2152 .2128 .2104 .2081 .2058 .2035 .2013 .1990 .1968 .1946 .1925 .1903 .1882 .1861 .1841 .1820 .1800 .1780 .1760 .1740 .1721 .1702 .1683 .1664 .1646 .1628 .1609 .1592 .1574 .1556 .1539 .1522 .1505 .1488 .1472 .1456 .1439 .1424 .1408 .1392 .1377 .1362 .1346 .1332 .5556 .5531 .5506 .5482 .5458 .5433 .5409 .5385 .5361 .5337 .5313 .5290 .5266 .5243 .5219 .5196 .5173 .5150 .5127 .5104 .5081 .5059 .5036 .5014 .4991 .4969 .4947 .4925 .4903 .4881 .4859 .4837 .4816 .4794 .4773 .4752 .4731 .4709 .4688 .4668 .4647 .4626 .4606 .4585 .4565 .4544 .4524 .4504 .4484 .4464 .3579 .3559 .3539 .3518 .3498 .3478 .3458 .3437 .3417 .3396 .3376 .3355 .3334 .3314 .3293 .3272 .3252 .3231 .3210 .3189 .3169 .3148 .3127 .3106 .3085 .3065 .3044 .3023 .3003 .2982 .2961 .2941 .2920 .2900 .2879 .2859 .2839 .2818 .2798 .2778 .2758 .2738 .2718 .2698 .2678 .2658 .2639 .2619 .2599 .2580 1.688 1.702 1.716 1.730 1.745 1.760 1.775 1.790 1.806 1.821 1.837 1.853 1.869 1.885 1.902 1.919 1.935 1.953 1.970 1.987 2.005 2.023 2.041 2.059 2.078 2.096 2.115 2.134 2.154 2.173 2.193 2.213 2.233 2.254 2.274 2.295 2.316 2.338 2.359 2.381 2.403 2.425 2.448 2.471 2.494 2.517 2.540 2.564 2.588 2.612 1.633 1.638 1.642 1.646 1.651 1.655 1.660 1.664 1.668 1.673 1.677 1.681 1.685 1.689 1.694 1.698 1.702 1.706 1.710 1.714 1.718 1.722 1.726 1.730 1.734 1.737 1.741 1.745 1.749 1.753 1.756 1.760 1.764 1.767 1.771 1.775 1.778 1.782 1.785 1.789 1.792 1.796 1.799 1.802 1.806 1.809 1.813 1.816 1.819 1.822 2.638 2.666 2.693 2.720 2.748 2.775 2.802 2.829 2.856 2.883 2.910 2.936 2.963 2.990 3.016 3.043 3.069 3.095 3.121 3.147 3.173 3.199 3.225 3.251 3.276 3.302 3.327 3.353 3.378 3.403 3.428 3.453 3.478 3.503 3.528 3.553 3.577 3.602 3.626 3.650 3.675 3.699 3.723 3.747 3.771 3.795 3.818 3.842 3.866 3.889 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 3.000 2.984 2.967 2.951 2.935 2.920 2.904 2.889 2.874 2.859 2.844 2.829 2.814 2.800 2.786 2.772 2.758 2.744 2.730 2.717 2.704 2.690 2.677 2.664 2.651 2.639 2.626 2.614 2.601 2.589 2.577 2.565 2.553 2.542 2.530 2.518 2.507 2.496 2.485 2.473 2.462 2.452 2.441 2.430 2.419 2.409 2.399 2.388 2.378 2.368 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 ρ2 /ρ1 T 2 /T 1 .5774 .5757 .5740 .5723 .5707 .5691 .5675 .5659 .5643 .5628 .5613 .5598 .5583 .5568 .5554 .5540 .5525 .5511 .5498 .5484 .5471 .5457 .5444 .5431 .5418 .5406 .5393 .5381 .5368 .5356 .5344 .5332 .5321 .5309 .5297 .5286 .5275 .5264 .5253 .5242 .5231 .5221 .5210 .5200 .5189 .5179 .5169 .5159 .5149 .5140 4.500 4.547 4.594 4.641 4.689 4.736 4.784 4.832 4.881 4.929 4.978 5.027 5.077 5.126 5.176 5.226 5.277 5.327 5.378 5.429 5.480 5.531 5.583 5.635 5.687 5.740 5.792 5.845 5.898 5.951 6.005 6.059 6.113 6.167 6.222 6.276 6.331 6.386 6.442 6.497 6.553 6.609 6.666 6.722 6.779 6.836 6.894 6.951 7.009 7.067 2.667 2.681 2.696 2.711 2.725 2.740 2.755 2.769 2.783 2.798 2.812 2.826 2.840 2.854 2.868 2.882 2.896 2.910 2.924 2.938 2.951 2.965 2.978 2.992 3.005 3.019 3.032 3.045 3.058 3.071 3.085 3.098 3.110 3.123 3.136 3.149 3.162 3.174 3.187 3.199 3.212 3.224 3.237 3.249 3.261 3.273 3.285 3.298 3.310 3.321 1.688 1.696 1.704 1.712 1.720 1.729 1.737 1.745 1.754 1.762 1.770 1.779 1.787 1.796 1.805 1.813 1.822 1.831 1.839 1.848 1.857 1.866 1.875 1.883 1.892 1.901 1.910 1.919 1.929 1.938 1.947 1.956 1.965 1.974 1.984 1.993 2.002 2.012 2.021 2.031 2.040 2.050 2.059 2.069 2.079 2.088 2.098 2.108 2.118 2.128 p o2 /p 01 p 1 /p 02 .7209 .7162 .7115 .7069 .7022 .6975 .6928 .6882 .6835 .6789 .6742 .6696 .6649 .6603 .6557 .6511 .6464 .6419 .6373 .6327 .6281 .6236 .6191 .6145 .6100 .6055 .6011 .5966 .5921 .5877 .5833 .5789 .5745 .5702 .5658 .5615 .5572 .5529 .5486 .5444 .5401 .5359 .5317 .5276 .5234 .5193 .5152 .5111 .5071 .5030 .1773 .1757 .1741 .1726 .1710 .1695 .1680 .1665 .1651 .1636 .1622 .1608 .1594 .1580 .1567 .1553 .1540 .1527 .1514 .1501 .1489 .1476 .1464 .1452 .1440 .1428 .1416 .1405 .1394 .1382 .1371 .1360 .1349 .1338 .1328 .1317 .1307 .1296 .1286 .1276 .1266 .1256 .1247 .1237 .1228 .1218 .1209 .1200 .1191 .1182 4/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o 2.50 2.51 2.52 2.53 2.54 2.55 2.56 2.57 2.58 2.59 2.60 2.61 2.62 2.63 2.64 2.65 2.66 2.67 2.68 2.69 2.70 2.71 2.72 2.73 2.74 2.75 2.76 2.77 2.78 2.79 2.80 2.81 2.82 2.83 2.84 2.85 2.86 2.87 2.88 2.89 2.90 2.91 2.92 2.93 2.94 2.95 2.96 2.97 2.98 2.99 .5853 .5762 .5674 .5586 .5500 .5415 .5332 .5250 .5169 .5090 .5012 .4935 .4859 .4784 .4711 .4639 .4568 .4498 .4429 .4362 .4295 .4229 .4165 .4102 .4039 .3978 .3917 .3858 .3799 .3742 .3685 .3629 .3574 .3520 .3467 .3415 .3363 .3312 .3263 .3213 .3165 .3118 .3071 .3025 .2980 .2935 .2891 .2848 .2805 .2764 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 ρ/ρo T /T o ρV /2p o A /A * M* ν(°) .1317 .1302 .1288 .1274 .1260 .1246 .1232 .1218 .1205 .1192 .1179 .1166 .1153 .1140 .1128 .1115 .1103 .1091 .1079 .1067 .1056 .1044 .1033 .1022 .1010 .9994 .9885 .9778 .9671 .9566 .9463 .9360 .9259 .9158 .9059 .8962 .8865 .8769 .8675 .8581 .8489 .8398 .8307 .8218 .8130 .8043 .7957 .7872 .7788 .7705 .4444 .4425 .4405 .4386 .4366 .4347 .4328 .4309 .4289 .4271 .4252 .4233 .4214 .4196 .4177 .4159 .4141 .4122 .4104 .4086 .4068 .4051 .4033 .4015 .3998 .3980 .3963 .3945 .3928 .3911 .3894 .3877 .3860 .3844 .3827 .3810 .3794 .3777 .3761 .3745 .3729 .3712 .3696 .3681 .3665 .3649 .3633 .3618 .3602 .3587 .2561 .2541 .2522 .2503 .2484 .2465 .2446 .2427 .2409 .2390 .2371 .2353 .2335 .2317 .2298 .2280 .2262 .2245 .2227 .2209 .2192 .2174 .2157 .2140 .2123 .2106 .2089 .2072 .2055 .2039 .2022 .2006 .1990 .1973 .1957 .1941 .1926 .1910 .1894 .1879 .1863 .1848 .1833 .1818 .1803 .1788 .1773 .1758 .1744 .1729 2.637 2.661 2.686 2.712 2.737 2.763 2.789 2.815 2.842 2.869 2.896 2.923 2.951 2.979 3.007 3.036 3.065 3.094 3.123 3.153 3.183 3.213 3.244 3.275 3.306 3.338 3.370 3.402 3.434 3.467 3.500 3.534 3.567 3.601 3.636 3.671 3.706 3.741 3.777 3.813 3.850 3.887 3.924 3.961 3.999 4.038 4.076 4.115 4.155 4.194 1.826 1.829 1.832 1.835 1.839 1.842 1.845 1.848 1.851 1.854 1.857 1.860 1.863 1.866 1.869 1.872 1.875 1.878 1.881 1.884 1.887 1.889 1.892 1.895 1.898 1.901 1.903 1.906 1.909 1.911 1.914 1.917 1.919 1.922 1.925 1.927 1.930 1.932 1.935 1.937 1.940 1.942 1.945 1.947 1.950 1.952 1.954 1.957 1.959 1.962 3.912 3.936 3.959 3.982 4.005 4.028 4.051 4.074 4.096 4.119 4.141 4.164 4.186 4.209 4.231 4.253 4.275 4.297 4.319 4.340 4.362 4.384 4.405 4.427 4.448 4.469 4.491 4.512 4.533 4.554 4.575 4.595 4.616 4.637 4.657 4.678 4.698 4.719 4.739 4.759 4.779 4.799 4.819 4.839 4.859 4.878 4.898 4.918 4.937 4.956 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 2 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 2.358 2.348 2.338 2.328 2.318 2.309 2.299 2.290 2.281 2.271 2.262 2.253 2.244 2.235 2.226 2.217 2.208 2.200 2.191 2.182 2.174 2.165 2.157 2.149 2.141 2.132 2.124 2.116 2.108 2.100 2.092 2.085 2.077 2.069 2.062 2.054 2.047 2.039 2.032 2.024 2.017 2.010 2.003 1.996 1.989 1.981 1.975 1.968 1.961 1.954 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 ρ2 /ρ1 T 2 /T 1 .5130 .5120 .5111 .5102 .5092 .5083 .5074 .5065 .5056 .5047 .5039 .5030 .5022 .5013 .5005 .4996 .4988 .4980 .4972 .4964 .4956 .4949 .4941 .4933 .4926 .4918 .4911 .4903 .4896 .4889 .4882 .4875 .4868 .4861 .4854 .4847 .4840 .4833 .4827 .4820 .4814 .4807 .4801 .4795 .4788 .4782 .4776 .4770 .4764 .4758 7.125 7.183 7.242 7.301 7.360 7.420 7.479 7.539 7.599 7.659 7.720 7.781 7.842 7.903 7.965 8.026 8.088 8.150 8.213 8.275 8.338 8.401 8.465 8.528 8.592 8.656 8.721 8.785 8.850 8.915 8.980 9.045 9.111 9.177 9.243 9.310 9.376 9.443 9.510 9.577 9.645 9.713 9.781 9.849 9.918 9.986 1.006 1.012 1.019 1.026 3.333 3.345 3.357 3.369 3.380 3.392 3.403 3.415 3.426 3.438 3.449 3.460 3.471 3.483 3.494 3.505 3.516 3.527 3.537 3.548 3.559 3.570 3.580 3.591 3.601 3.612 3.622 3.633 3.643 3.653 3.664 3.674 3.684 3.694 3.704 3.714 3.724 3.734 3.743 3.753 3.763 3.773 3.782 3.792 3.801 3.811 3.820 3.829 3.839 3.848 2.137 2.147 2.157 2.167 2.177 2.187 2.198 2.208 2.218 2.228 2.238 2.249 2.259 2.269 2.280 2.290 2.301 2.311 2.322 2.332 2.343 2.354 2.364 2.375 2.386 2.397 2.407 2.418 2.429 2.440 2.451 2.462 2.473 2.484 2.496 2.507 2.518 2.529 2.540 2.552 2.563 2.575 2.586 2.598 2.609 2.621 2.632 2.644 2.656 2.667 +1 +1 +1 +1 p o2 /p 01 p 1 /p 02 .4990 .4950 .4911 .4871 .4832 .4793 .4754 .4715 .4677 .4639 .4601 .4564 .4526 .4489 .4452 .4416 .4379 .4343 .4307 .4271 .4236 .4201 .4166 .4131 .4097 .4062 .4028 .3994 .3961 .3928 .3895 .3862 .3829 .3797 .3765 .3733 .3701 .3670 .3639 .3608 .3577 .3547 .3517 .3487 .3457 .3428 .3398 .3369 .3340 .3312 .1173 .1164 .1155 .1147 .1138 .1130 .1122 .1113 .1105 .1097 .1089 .1081 .1073 .1066 .1058 .1051 .1043 .1036 .1028 .1021 .1014 .1007 .9998 .9929 .9860 .9792 .9724 .9658 .9591 .9526 .9461 .9397 .9334 .9271 .9209 .9147 .9086 .9026 .8966 .8906 .8848 .8790 .8732 .8675 .8619 .8563 .8507 .8453 .8398 .8345 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 5/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o 3.00 3.01 3.02 3.03 3.04 3.05 3.06 3.07 3.08 3.09 3.10 3.11 3.12 3.13 3.14 3.15 3.16 3.17 3.18 3.19 3.20 3.21 3.22 3.23 3.24 3.25 3.26 3.27 3.28 3.29 3.30 3.31 3.32 3.33 3.34 3.35 3.36 3.37 3.38 3.39 3.40 3.41 3.42 3.43 3.44 3.45 3.46 3.47 3.48 3.49 .2722 .2682 .2642 .2603 .2564 .2526 .2489 .2452 .2416 .2380 .2345 .2310 .2276 .2243 .2210 .2177 .2146 .2114 .2083 .2053 .2023 .1993 .1964 .1936 .1908 .1880 .1853 .1826 .1799 .1773 .1748 .1722 .1698 .1673 .1649 .1625 .1602 .1579 .1557 .1534 .1512 .1491 .1470 .1449 .1428 .1408 .1388 .1368 .1349 .1330 ρ/ρo -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 .7623 .7541 .7461 .7382 .7303 .7226 .7149 .7074 .6999 .6925 .6852 .6779 .6708 .6637 .6568 .6499 .6430 .6363 .6296 .6231 .6165 .6101 .6037 .5975 .5912 .5851 .5790 .5730 .5671 .5612 .5554 .5497 .5440 .5384 .5329 .5274 .5220 .5166 .5113 .5061 .5009 .4958 .4908 .4858 .4808 .4759 .4711 .4663 .4616 .4569 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 T /T o ρV /2p o A /A * M* ν(°) .3571 .3556 .3541 .3526 .3511 .3496 .3481 .3466 .3452 .3437 .3422 .3408 .3393 .3379 .3365 .3351 .3337 .3323 .3309 .3295 .3281 .3267 .3253 .3240 .3226 .3213 .3199 .3186 .3173 .3160 .3147 .3134 .3121 .3108 .3095 .3082 .3069 .3057 .3044 .3032 .3019 .3007 .2995 .2982 .2970 .2958 .2946 .2934 .2922 .2910 .1715 .1701 .1687 .1673 .1659 .1645 .1631 .1618 .1604 .1591 .1577 .1564 .1551 .1538 .1525 .1512 .1500 .1487 .1475 .1462 .1450 .1438 .1426 .1414 .1402 .1390 .1378 .1367 .1355 .1344 .1332 .1321 .1310 .1299 .1288 .1277 .1266 .1255 .1245 .1234 .1224 .1214 .1203 .1193 .1183 .1173 .1163 .1153 .1144 .1134 4.235 4.275 4.316 4.357 4.399 4.441 4.483 4.526 4.570 4.613 4.657 4.702 4.747 4.792 4.838 4.884 4.930 4.977 5.025 5.073 5.121 5.170 5.219 5.268 5.319 5.369 5.420 5.472 5.523 5.576 5.629 5.682 5.736 5.790 5.845 5.900 5.956 6.012 6.069 6.126 6.184 6.242 6.301 6.360 6.420 6.480 6.541 6.602 6.664 6.727 1.964 1.966 1.969 1.971 1.973 1.975 1.978 1.980 1.982 1.984 1.987 1.989 1.991 1.993 1.995 1.997 2.000 2.002 2.004 2.006 2.008 2.010 2.012 2.014 2.016 2.018 2.020 2.022 2.024 2.026 2.028 2.030 2.032 2.034 2.035 2.037 2.039 2.041 2.043 2.045 2.047 2.048 2.050 2.052 2.054 2.056 2.057 2.059 2.061 2.062 4.976 4.995 5.014 5.033 5.052 5.071 5.090 5.109 5.128 5.146 5.165 5.183 5.202 5.220 5.239 5.257 5.275 5.293 5.311 5.329 5.347 5.365 5.383 5.400 5.418 5.435 5.453 5.470 5.488 5.505 5.522 5.539 5.556 5.573 5.590 5.607 5.624 5.641 5.658 5.674 5.691 5.707 5.724 5.740 5.756 5.773 5.789 5.805 5.821 5.837 2 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 1.947 1.940 1.934 1.927 1.920 1.914 1.907 1.901 1.895 1.888 1.882 1.876 1.869 1.863 1.857 1.851 1.845 1.839 1.833 1.827 1.821 1.815 1.809 1.803 1.798 1.792 1.786 1.781 1.775 1.770 1.764 1.758 1.753 1.748 1.742 1.737 1.731 1.726 1.721 1.716 1.710 1.705 1.700 1.695 1.690 1.685 1.680 1.675 1.670 1.665 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 .4752 .4746 .4740 .4734 .4729 .4723 .4717 .4712 .4706 .4701 .4695 .4690 .4685 .4679 .4674 .4669 .4664 .4659 .4654 .4648 .4643 .4639 .4634 .4629 .4624 .4619 .4614 .4610 .4605 .4600 .4596 .4591 .4587 .4582 .4578 .4573 .4569 .4565 .4560 .4556 .4552 .4548 .4544 .4540 .4535 .4531 .4527 .4523 .4519 .4515 1.033 1.040 1.047 1.054 1.062 1.069 1.076 1.083 1.090 1.097 1.104 1.112 1.119 1.126 1.134 1.141 1.148 1.156 1.163 1.171 1.178 1.185 1.193 1.201 1.208 1.216 1.223 1.231 1.238 1.246 1.254 1.262 1.269 1.277 1.285 1.293 1.300 1.308 1.316 1.324 1.332 1.340 1.348 1.356 1.364 1.372 1.380 1.388 1.396 1.404 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 ρ2 /ρ1 T 2 /T 1 3.857 3.866 3.875 3.884 3.893 3.902 3.911 3.920 3.929 3.938 3.947 3.955 3.964 3.973 3.981 3.990 3.998 4.006 4.015 4.023 4.031 4.040 4.048 4.056 4.064 4.072 4.080 4.088 4.096 4.104 4.112 4.120 4.128 4.135 4.143 4.151 4.158 4.166 4.173 4.181 4.188 4.196 4.203 4.211 4.218 4.225 4.232 4.240 4.247 4.254 2.679 2.691 2.703 2.714 2.726 2.738 2.750 2.762 2.774 2.786 2.799 2.811 2.823 2.835 2.848 2.860 2.872 2.885 2.897 2.909 2.922 2.935 2.947 2.960 2.972 2.985 2.998 3.011 3.023 3.036 3.049 3.062 3.075 3.088 3.101 3.114 3.127 3.141 3.154 3.167 3.180 3.194 3.207 3.220 3.234 3.247 3.261 3.274 3.288 3.301 p o2 /p 01 p 1 /p 02 .3283 .3255 .3227 .3200 .3172 .3145 .3118 .3091 .3065 .3038 .3012 .2986 .2960 .2935 .2910 .2885 .2860 .2835 .2811 .2786 .2762 .2738 .2715 .2691 .2668 .2645 .2622 .2600 .2577 .2555 .2533 .2511 .2489 .2468 .2446 .2425 .2404 .2383 .2363 .2342 .2322 .2302 .2282 .2263 .2243 .2224 .2205 .2186 .2167 .2148 .8291 .8238 .8186 .8134 .8083 .8032 .7982 .7932 .7882 .7833 .7785 .7737 .7689 .7642 .7595 .7549 .7503 .7457 .7412 .7367 .7323 .7279 .7235 .7192 .7149 .7107 .7065 .7023 .6982 .6941 .6900 .6860 .6820 .6781 .6741 .6702 .6664 .6626 .6588 .6550 .6513 .6476 .6439 .6403 .6367 .6331 .6296 .6261 .6226 .6191 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 6/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o 3.50 3.51 3.52 3.53 3.54 3.55 3.56 3.57 3.58 3.59 3.60 3.61 3.62 3.63 3.64 3.65 3.66 3.67 3.68 3.69 3.70 3.71 3.72 3.73 3.74 3.75 3.76 3.77 3.78 3.79 3.80 3.81 3.82 3.83 3.84 3.85 3.86 3.87 3.88 3.89 3.90 3.91 3.92 3.93 3.94 3.95 3.96 3.97 3.98 3.99 .1311 .1293 .1274 .1256 .1239 .1221 .1204 .1188 .1171 .1155 .1138 .1123 .1107 .1092 .1076 .1062 .1047 .1032 .1018 .1004 .9903 .9767 .9633 .9500 .9370 .9242 .9116 .8991 .8869 .8748 .8629 .8512 .8396 .8283 .8171 .8060 .7951 .7844 .7739 .7635 .7532 .7431 .7332 .7233 .7137 .7042 .6948 .6855 .6764 .6675 ρ/ρo -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 .4523 .4478 .4433 .4388 .4344 .4300 .4257 .4214 .4172 .4131 .4089 .4049 .4008 .3968 .3929 .3890 .3852 .3813 .3776 .3739 .3702 .3665 .3629 .3594 .3558 .3524 .3489 .3455 .3421 .3388 .3355 .3322 .3290 .3258 .3227 .3195 .3165 .3134 .3104 .3074 .3044 .3015 .2986 .2958 .2929 .2902 .2874 .2846 .2819 .2793 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 T /T o ρV /2p o A /A * M* ν(°) .2899 .2887 .2875 .2864 .2852 .2841 .2829 .2818 .2806 .2795 .2784 .2773 .2762 .2751 .2740 .2729 .2718 .2707 .2697 .2686 .2675 .2665 .2654 .2644 .2633 .2623 .2613 .2602 .2592 .2582 .2572 .2562 .2552 .2542 .2532 .2522 .2513 .2503 .2493 .2484 .2474 .2464 .2455 .2446 .2436 .2427 .2418 .2408 .2399 .2390 .1124 .1115 .1105 .1096 .1087 .1078 .1068 .1059 .1050 .1042 .1033 .1024 .1015 .1007 .9984 .9900 .9816 .9734 .9652 .9571 .9490 .9410 .9331 .9252 .9175 .9098 .9021 .8945 .8870 .8796 .8722 .8649 .8577 .8505 .8434 .8363 .8293 .8224 .8155 .8087 .8019 .7952 .7886 .7820 .7755 .7691 .7627 .7563 .7500 .7438 6.790 6.853 6.917 6.982 7.047 7.113 7.179 7.246 7.313 7.381 7.450 7.519 7.589 7.659 7.730 7.802 7.874 7.947 8.020 8.094 8.169 8.244 8.320 8.397 8.474 8.552 8.630 8.709 8.789 8.869 8.951 9.032 9.115 9.198 9.282 9.366 9.451 9.537 9.624 9.711 9.799 9.888 9.977 1.007 1.016 1.025 1.034 1.044 1.053 1.062 2.064 2.066 2.068 2.069 2.071 2.073 2.074 2.076 2.078 2.079 2.081 2.082 2.084 2.086 2.087 2.089 2.090 2.092 2.093 2.095 2.096 2.098 2.099 2.101 2.102 2.104 2.105 2.107 2.108 2.110 2.111 2.113 2.114 2.115 2.117 2.118 2.120 2.121 2.122 2.124 2.125 2.126 2.128 2.129 2.130 2.132 2.133 2.134 2.136 2.137 5.853 5.869 5.885 5.900 5.916 5.932 5.947 5.963 5.978 5.994 6.009 6.024 6.040 6.055 6.070 6.085 6.100 6.115 6.130 6.145 6.160 6.174 6.189 6.204 6.218 6.233 6.247 6.261 6.276 6.290 6.304 6.319 6.333 6.347 6.361 6.375 6.389 6.403 6.416 6.430 6.444 6.458 6.471 6.485 6.498 6.512 6.525 6.539 6.552 6.565 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 +1 +1 +1 +1 +1 +1 +1 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 1.660 1.655 1.650 1.646 1.641 1.636 1.631 1.627 1.622 1.617 1.613 1.608 1.604 1.599 1.595 1.590 1.586 1.581 1.577 1.572 1.568 1.564 1.559 1.555 1.551 1.547 1.542 1.538 1.534 1.530 1.526 1.522 1.518 1.514 1.509 1.505 1.501 1.498 1.494 1.490 1.486 1.482 1.478 1.474 1.470 1.466 1.463 1.459 1.455 1.451 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 .4512 .4508 .4504 .4500 .4496 .4492 .4489 .4485 .4481 .4478 .4474 .4471 .4467 .4463 .4460 .4456 .4453 .4450 .4446 .4443 .4439 .4436 .4433 .4430 .4426 .4423 .4420 .4417 .4414 .4410 .4407 .4404 .4401 .4398 .4395 .4392 .4389 .4386 .4383 .4380 .4377 .4375 .4372 .4369 .4366 .4363 .4360 .4358 .4355 .4352 1.412 1.421 1.429 1.437 1.445 1.454 1.462 1.470 1.479 1.487 1.495 1.504 1.512 1.521 1.529 1.538 1.546 1.555 1.563 1.572 1.580 1.589 1.598 1.607 1.615 1.624 1.633 1.642 1.650 1.659 1.668 1.677 1.686 1.695 1.704 1.713 1.722 1.731 1.740 1.749 1.758 1.767 1.776 1.785 1.794 1.804 1.813 1.822 1.831 1.841 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 ρ2 /ρ1 T 2 /T 1 4.261 4.268 4.275 4.282 4.289 4.296 4.303 4.309 4.316 4.323 4.330 4.336 4.343 4.350 4.356 4.363 4.369 4.376 4.382 4.388 4.395 4.401 4.408 4.414 4.420 4.426 4.432 4.439 4.445 4.451 4.457 4.463 4.469 4.475 4.481 4.487 4.492 4.498 4.504 4.510 4.516 4.521 4.527 4.533 4.538 4.544 4.549 4.555 4.560 4.566 3.315 3.329 3.342 3.356 3.370 3.384 3.398 3.412 3.426 3.440 3.454 3.468 3.482 3.496 3.510 3.525 3.539 3.553 3.567 3.582 3.596 3.611 3.625 3.640 3.654 3.669 3.684 3.698 3.713 3.728 3.743 3.757 3.772 3.787 3.802 3.817 3.832 3.847 3.862 3.878 3.893 3.908 3.923 3.939 3.954 3.969 3.985 4.000 4.016 4.031 p o2 /p 01 p 1 /p 02 .2129 .2111 .2093 .2075 .2057 .2039 .2022 .2004 .1987 .1970 .1953 .1936 .1920 .1903 .1887 .1871 .1855 .1839 .1823 .1807 .1792 .1777 .1761 .1746 .1731 .1717 .1702 .1687 .1673 .1659 .1645 .1631 .1617 .1603 .1589 .1576 .1563 .1549 .1536 .1523 .1510 .1497 .1485 .1472 .1460 .1448 .1435 .1423 .1411 .1399 .6157 .6123 .6089 .6056 .6023 .5990 .5957 .5925 .5892 .5861 .5829 .5798 .5767 .5736 .5705 .5675 .5645 .5615 .5585 .5556 .5526 .5497 .5469 .5440 .5412 .5384 .5356 .5328 .5301 .5274 .5247 .5220 .5193 .5167 .5140 .5114 .5089 .5063 .5038 .5012 .4987 .4962 .4938 .4913 .4889 .4865 .4841 .4817 .4793 .4770 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 7/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o 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 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 .6586 .6413 .6245 .6082 .5923 .5769 .5619 .5474 .5333 .5195 .5062 .4932 .4806 .4684 .4565 .4449 .4337 .4228 .4121 .4018 .3918 .3820 .3725 .3633 .3543 .3455 .3370 .3288 .3207 .3129 .3053 .2978 .2906 .2836 .2768 .2701 .2637 .2573 .2512 .2452 .2394 .2338 .2283 .2229 .2177 .2126 .2076 .2028 .1981 .1935 ρ/ρo -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 .2766 .2714 .2663 .2613 .2564 .2516 .2470 .2424 .2379 .2335 .2292 .2250 .2209 .2169 .2129 .2090 .2052 .2015 .1979 .1944 .1909 .1875 .1841 .1808 .1776 .1745 .1714 .1684 .1654 .1625 .1597 .1569 .1542 .1515 .1489 .1464 .1438 .1414 .1390 .1366 .1343 .1320 .1298 .1276 .1254 .1233 .1213 .1192 .1173 .1153 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 T /T o ρV /2p o A /A * .2381 .2363 .2345 .2327 .2310 .2293 .2275 .2258 .2242 .2225 .2208 .2192 .2176 .2160 .2144 .2129 .2113 .2098 .2083 .2067 .2053 .2038 .2023 .2009 .1994 .1980 .1966 .1952 .1938 .1925 .1911 .1898 .1885 .1872 .1859 .1846 .1833 .1820 .1808 .1795 .1783 .1771 .1759 .1747 .1735 .1724 .1712 .1700 .1689 .1678 .7376 .7255 .7135 .7017 .6902 .6788 .6677 .6567 .6460 .6354 .6251 .6149 .6049 .5950 .5854 .5759 .5666 .5574 .5484 .5396 .5309 .5224 .5140 .5058 .4977 .4898 .4820 .4743 .4668 .4594 .4521 .4450 .4380 .4311 .4243 .4177 .4112 .4047 .3984 .3922 .3861 .3802 .3743 .3685 .3628 .3572 .3518 .3464 .3411 .3359 1.072 1.091 1.111 1.131 1.151 1.171 1.192 1.214 1.235 1.257 1.279 1.302 1.325 1.348 1.372 1.395 1.420 1.445 1.470 1.495 1.521 1.547 1.574 1.601 1.628 1.656 1.684 1.713 1.742 1.772 1.802 1.832 1.863 1.894 1.926 1.958 1.991 2.024 2.058 2.092 2.126 2.161 2.197 2.233 2.270 2.307 2.344 2.382 2.421 2.460 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 M* ν(°) 2.138 2.141 2.143 2.146 2.148 2.150 2.153 2.155 2.158 2.160 2.162 2.164 2.167 2.169 2.171 2.173 2.175 2.177 2.180 2.182 2.184 2.186 2.188 2.190 2.192 2.194 2.196 2.197 2.199 2.201 2.203 2.205 2.207 2.208 2.210 2.212 2.214 2.215 2.217 2.219 2.220 2.222 2.224 2.225 2.227 2.228 2.230 2.232 2.233 2.235 6.578 6.605 6.631 6.657 6.683 6.708 6.734 6.759 6.784 6.809 6.833 6.858 6.882 6.906 6.930 6.954 6.978 7.001 7.024 7.048 7.071 7.093 7.116 7.139 7.161 7.183 7.205 7.227 7.249 7.270 7.292 7.313 7.334 7.355 7.376 7.397 7.418 7.438 7.458 7.479 7.499 7.519 7.538 7.558 7.578 7.597 7.616 7.635 7.654 7.673 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 1.448 1.440 1.433 1.426 1.419 1.412 1.405 1.398 1.391 1.384 1.377 1.371 1.364 1.358 1.351 1.345 1.338 1.332 1.326 1.320 1.314 1.308 1.302 1.296 1.290 1.284 1.278 1.272 1.267 1.261 1.256 1.250 1.245 1.239 1.234 1.228 1.223 1.218 1.213 1.208 1.202 1.197 1.192 1.187 1.182 1.178 1.173 1.168 1.163 1.158 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 .4350 .4344 .4339 .4334 .4329 .4324 .4319 .4314 .4309 .4304 .4299 .4295 .4290 .4286 .4281 .4277 .4272 .4268 .4264 .4260 .4255 .4251 .4247 .4243 .4239 .4236 .4232 .4228 .4224 .4220 .4217 .4213 .4210 .4206 .4203 .4199 .4196 .4192 .4189 .4186 .4183 .4179 .4176 .4173 .4170 .4167 .4164 .4161 .4158 .4155 1.850 1.869 1.888 1.906 1.925 1.944 1.964 1.983 2.002 2.022 2.041 2.061 2.081 2.101 2.120 2.140 2.161 2.181 2.201 2.222 2.242 2.263 2.283 2.304 2.325 2.346 2.367 2.388 2.409 2.431 2.452 2.474 2.495 2.517 2.539 2.560 2.582 2.605 2.627 2.649 2.671 2.694 2.716 2.739 2.762 2.784 2.807 2.830 2.854 2.877 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 ρ2 /ρ1 T 2 /T 1 4.571 4.582 4.593 4.604 4.614 4.624 4.635 4.645 4.655 4.665 4.675 4.685 4.694 4.704 4.713 4.723 4.732 4.741 4.750 4.760 4.768 4.777 4.786 4.795 4.803 4.812 4.820 4.829 4.837 4.845 4.853 4.861 4.869 4.877 4.885 4.893 4.900 4.908 4.915 4.923 4.930 4.937 4.945 4.952 4.959 4.966 4.973 4.980 4.987 4.993 4.047 4.078 4.110 4.141 4.173 4.205 4.237 4.269 4.301 4.334 4.367 4.399 4.432 4.465 4.499 4.532 4.566 4.600 4.633 4.668 4.702 4.736 4.771 4.805 4.840 4.875 4.910 4.946 4.981 5.017 5.052 5.088 5.124 5.161 5.197 5.233 5.270 5.307 5.344 5.381 5.418 5.456 5.493 5.531 5.569 5.607 5.646 5.684 5.722 5.761 p o2 /p 01 p 1 /p 02 .1388 .1364 .1342 .1319 .1297 .1276 .1254 .1234 .1213 .1193 .1173 .1154 .1135 .1116 .1098 .1080 .1062 .1045 .1028 .1011 .9948 .9787 .9628 .9473 .9320 .9170 .9022 .8878 .8735 .8596 .8459 .8324 .8192 .8062 .7934 .7809 .7685 .7564 .7445 .7329 .7214 .7101 .6991 .6882 .6775 .6670 .6567 .6465 .6366 .6268 .4747 .4700 .4655 .4610 .4566 .4523 .4480 .4438 .4396 .4355 .4314 .4274 .4235 .4196 .4158 .4120 .4082 .4046 .4009 .3973 .3938 .3903 .3869 .3835 .3801 .3768 .3735 .3703 .3671 .3640 .3609 .3578 .3548 .3518 .3488 .3459 .3431 .3402 .3374 .3346 .3319 .3292 .3265 .3239 .3213 .3187 .3161 .3136 .3111 .3087 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 8/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o 5.00 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 5.82 5.84 5.86 5.88 5.90 5.92 5.94 5.96 5.98 .1890 .1847 .1804 .1763 .1722 .1683 .1645 .1608 .1571 .1536 .1501 .1468 .1435 .1403 .1372 .1341 .1311 .1282 .1254 .1227 .1200 .1174 .1148 .1123 .1099 .1075 .1052 .1029 .1007 .9853 .9643 .9438 .9237 .9041 .8850 .8663 .8481 .8303 .8130 .7960 .7794 .7632 .7474 .7320 .7169 .7021 .6877 .6737 .6599 .6465 ρ/ρo -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 .1134 .1115 .1097 .1079 .1061 .1044 .1027 .1010 .9939 .9778 .9620 .9466 .9314 .9165 .9019 .8875 .8734 .8596 .8461 .8327 .8197 .8068 .7942 .7818 .7697 .7578 .7460 .7345 .7232 .7121 .7012 .6905 .6800 .6697 .6596 .6496 .6398 .6302 .6207 .6114 .6023 .5934 .5846 .5759 .5674 .5590 .5508 .5428 .5348 .5270 -1 -1 -1 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 T /T o ρV /2p o A /A * .1667 .1656 .1645 .1634 .1623 .1612 .1602 .1591 .1581 .1571 .1561 .1550 .1540 .1531 .1521 .1511 .1501 .1492 .1482 .1473 .1464 .1454 .1445 .1436 .1427 .1418 .1410 .1401 .1392 .1384 .1375 .1367 .1358 .1350 .1342 .1334 .1326 .1318 .1310 .1302 .1294 .1286 .1279 .1271 .1263 .1256 .1249 .1241 .1234 .1227 .3308 .3257 .3208 .3159 .3112 .3065 .3018 .2973 .2929 .2885 .2842 .2799 .2758 .2717 .2677 .2637 .2598 .2560 .2522 .2485 .2449 .2413 .2378 .2343 .2309 .2276 .2243 .2211 .2179 .2148 .2117 .2087 .2057 .2027 .1999 .1970 .1942 .1915 .1888 .1861 .1835 .1810 .1784 .1759 .1735 .1711 .1687 .1664 .1641 .1618 2.500 2.540 2.581 2.622 2.664 2.707 2.750 2.794 2.838 2.883 2.928 2.974 3.021 3.068 3.116 3.165 3.214 3.264 3.314 3.366 3.417 3.470 3.523 3.577 3.632 3.687 3.743 3.800 3.857 3.915 3.974 4.034 4.094 4.155 4.217 4.280 4.343 4.407 4.472 4.538 4.605 4.672 4.741 4.810 4.880 4.951 5.022 5.095 5.168 5.243 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 M* ν(°) 2.236 2.238 2.239 2.240 2.242 2.243 2.245 2.246 2.248 2.249 2.250 2.252 2.253 2.254 2.256 2.257 2.258 2.259 2.261 2.262 2.263 2.264 2.266 2.267 2.268 2.269 2.270 2.271 2.273 2.274 2.275 2.276 2.277 2.278 2.279 2.280 2.281 2.282 2.283 2.284 2.286 2.287 2.288 2.289 2.290 2.291 2.291 2.292 2.293 2.294 7.692 7.711 7.729 7.748 7.766 7.784 7.802 7.820 7.838 7.856 7.873 7.891 7.908 7.925 7.943 7.960 7.977 7.993 8.010 8.027 8.043 8.060 8.076 8.092 8.108 8.124 8.140 8.156 8.172 8.188 8.203 8.219 8.234 8.249 8.264 8.280 8.295 8.309 8.324 8.339 8.354 8.368 8.383 8.397 8.411 8.426 8.440 8.454 8.468 8.482 µ(°) +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 1.154 1.149 1.144 1.140 1.135 1.131 1.126 1.122 1.117 1.113 1.109 1.104 1.100 1.096 1.092 1.088 1.083 1.079 1.075 1.071 1.067 1.063 1.059 1.055 1.051 1.048 1.044 1.040 1.036 1.032 1.029 1.025 1.021 1.018 1.014 1.010 1.007 1.003 9.998 9.963 9.928 9.894 9.860 9.826 9.792 9.758 9.725 9.692 9.659 9.626 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 Onde d'urto normali (γ=1.4) M2 p 2 /p 1 .4152 .4149 .4147 .4144 .4141 .4138 .4136 .4133 .4130 .4128 .4125 .4123 .4120 .4118 .4115 .4113 .4110 .4108 .4106 .4103 .4101 .4099 .4096 .4094 .4092 .4090 .4088 .4085 .4083 .4081 .4079 .4077 .4075 .4073 .4071 .4069 .4067 .4065 .4063 .4061 .4059 .4058 .4056 .4054 .4052 .4050 .4049 .4047 .4045 .4043 2.900 2.923 2.947 2.970 2.994 3.018 3.042 3.066 3.090 3.114 3.138 3.162 3.187 3.211 3.236 3.260 3.285 3.310 3.335 3.360 3.385 3.411 3.436 3.461 3.487 3.512 3.538 3.564 3.590 3.616 3.642 3.668 3.694 3.721 3.747 3.774 3.800 3.827 3.854 3.881 3.908 3.935 3.962 3.990 4.017 4.044 4.072 4.100 4.128 4.155 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 ρ2 /ρ1 T 2 /T 1 5.000 5.007 5.013 5.020 5.026 5.033 5.039 5.045 5.051 5.058 5.064 5.070 5.076 5.082 5.088 5.093 5.099 5.105 5.111 5.116 5.122 5.127 5.133 5.138 5.144 5.149 5.154 5.159 5.165 5.170 5.175 5.180 5.185 5.190 5.195 5.200 5.205 5.209 5.214 5.219 5.224 5.228 5.233 5.237 5.242 5.246 5.251 5.255 5.260 5.264 5.800 5.839 5.878 5.917 5.957 5.997 6.036 6.076 6.116 6.157 6.197 6.238 6.278 6.319 6.360 6.401 6.443 6.484 6.526 6.568 6.610 6.652 6.694 6.736 6.779 6.822 6.865 6.908 6.951 6.994 7.038 7.081 7.125 7.169 7.213 7.258 7.302 7.347 7.391 7.436 7.481 7.527 7.572 7.618 7.663 7.709 7.755 7.801 7.848 7.894 p o2 /p 01 p 1 /p 02 .6172 .6077 .5984 .5893 .5803 .5715 .5629 .5543 .5460 .5377 .5297 .5217 .5139 .5062 .4987 .4913 .4840 .4768 .4697 .4628 .4560 .4493 .4427 .4362 .4299 .4236 .4175 .4114 .4054 .3996 .3938 .3882 .3826 .3771 .3717 .3664 .3612 .3561 .3510 .3461 .3412 .3364 .3317 .3270 .3224 .3179 .3135 .3092 .3049 .3007 .3062 .3038 .3015 .2991 .2968 .2945 .2923 .2900 .2878 .2856 .2834 .2813 .2792 .2771 .2750 .2730 .2710 .2690 .2670 .2650 .2631 .2612 .2593 .2574 .2556 .2537 .2519 .2501 .2483 .2466 .2448 .2431 .2414 .2397 .2381 .2364 .2348 .2332 .2316 .2300 .2284 .2269 .2253 .2238 .2223 .2208 .2194 .2179 .2165 .2150 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 9/10 Prandtl e Meyer Moto Isentropico (γ=1.4) M p /p o 6.00 6.10 6.20 6.30 6.40 6.50 6.60 6.70 6.80 6.90 7.00 7.10 7.20 7.30 7.40 7.50 7.60 7.70 7.80 7.90 8.00 8.10 8.20 8.30 8.40 8.50 8.60 8.70 8.80 8.90 9.00 9.10 9.20 9.30 9.40 9.50 9.60 9.70 9.80 9.90 10.00 11.00 12.00 13.00 14.00 15.00 17.50 20.00 .6334 .5721 .5173 .4684 .4247 .3855 .3503 .3187 .2902 .2646 .2416 .2207 .2019 .1848 .1694 .1554 .1427 .1312 .1207 .1111 .1024 .9449 .8723 .8060 .7454 .6898 .6390 .5923 .5494 .5101 .4739 .4405 .4099 .3816 .3555 .3314 .3092 .2886 .2696 .2520 .2356 .1245 .6922 .4022 .2428 .1515 .5254 .2091 ∞ .0000 ρ/ρo -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -4 -5 -5 -5 -5 -6 -6 .5194 .4829 .4495 .4187 .3904 .3643 .3402 .3180 .2974 .2785 .2609 .2446 .2295 .2155 .2025 .1904 .1792 .1687 .1589 .1498 .1414 .1334 .1260 .1191 .1126 .1066 .1009 .9558 .9059 .8590 .8150 .7737 .7348 .6982 .6638 .6313 .6008 .5719 .5447 .5191 .4948 .3137 .2063 .1400 .9760 .6968 .3271 .1694 .0000 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -3 -4 -4 -4 -4 T /T o ρV /2p o A /A * .1220 .1185 .1151 .1119 .1088 .1058 .1030 .1002 .9758 .9504 .9259 .9024 .8797 .8578 .8367 .8163 .7967 .7777 .7594 .7417 .7246 .7081 .6921 .6767 .6617 .6472 .6332 .6197 .6065 .5938 .5814 .5694 .5578 .5465 .5356 .5249 .5146 .5046 .4949 .4854 .4762 .3968 .3356 .2874 .2488 .2174 .1606 .1235 .1596 .1490 .1392 .1301 .1218 .1140 .1068 .1001 .9395 .8820 .8285 .7788 .7326 .6895 .6494 .6120 .5771 .5445 .5140 .4855 .4589 .4339 .4106 .3887 .3682 .3489 .3308 .3138 .2978 .2828 .2687 .2554 .2428 .2310 .2199 .2094 .1994 .1901 .1812 .1729 .1649 .1054 .6978 .4758 .3331 .2386 .1126 .5854 5.318 5.708 6.121 6.559 7.023 7.513 8.032 8.580 9.159 9.770 1.041 1.109 1.181 1.256 1.335 1.418 1.506 1.598 1.694 1.795 1.901 2.012 2.128 2.250 2.378 2.511 2.650 2.796 2.948 3.106 3.272 3.445 3.625 3.812 4.008 4.211 4.423 4.644 4.873 5.112 5.359 8.419 1.276 1.876 2.685 3.755 7.977 1.538 .0000 2 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 .0000 -1 -1 -1 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -3 -3 -3 -3 -3 -4 ∞ +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +3 +3 +3 +3 +3 +4 M* ν(°) 2.295 2.300 2.304 2.308 2.312 2.316 2.320 2.324 2.327 2.330 2.333 2.336 2.339 2.342 2.345 2.347 2.350 2.352 2.355 2.357 2.359 2.361 2.363 2.365 2.367 2.369 2.371 2.372 2.374 2.376 2.377 2.379 2.380 2.382 2.383 2.384 2.386 2.387 2.388 2.389 2.390 2.400 2.408 2.414 2.419 2.423 2.430 2.434 8.496 8.563 8.629 8.694 8.756 8.817 8.876 8.933 8.989 9.044 9.097 9.149 9.200 9.249 9.297 9.344 9.390 9.434 9.478 9.521 9.562 9.603 9.643 9.682 9.720 9.757 9.794 9.829 9.864 9.898 9.932 9.965 9.997 1.003 1.006 1.009 1.012 1.015 1.018 1.020 1.023 1.048 1.069 1.087 1.102 1.115 1.142 1.162 2.449 Onde d'urto normali (γ=1.4) µ(°) M2 p 2 /p 1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 9.594 9.435 9.282 9.133 8.989 8.850 8.715 8.584 8.457 8.333 8.213 8.097 7.984 7.873 7.766 7.662 7.561 7.462 7.366 7.272 7.181 7.092 7.005 6.920 6.837 6.756 6.677 6.600 6.525 6.451 6.379 6.309 6.240 6.173 6.107 6.042 5.979 5.917 5.857 5.797 5.739 5.216 4.780 4.412 4.096 3.823 3.276 2.866 .4042 .4033 .4025 .4018 .4011 .4004 .3997 .3991 .3985 .3979 .3974 .3968 .3963 .3958 .3954 .3949 .3945 .3941 .3937 .3933 .3929 .3925 .3922 .3918 .3915 .3912 .3909 .3906 .3903 .3901 .3898 .3895 .3893 .3891 .3888 .3886 .3884 .3882 .3880 .3878 .3876 .3859 .3847 .3837 .3829 .3823 .3811 .3804 4.183 4.324 4.468 4.614 4.762 4.912 5.065 5.220 5.378 5.538 5.700 5.864 6.031 6.200 6.372 6.546 6.722 6.900 7.081 7.264 7.450 7.638 7.828 8.020 8.215 8.412 8.612 8.814 9.018 9.224 9.433 9.644 9.858 1.007 1.029 1.051 1.074 1.096 1.119 1.142 1.165 1.410 1.678 1.970 2.285 2.623 3.571 4.665 1.305 +2 .0000 .3780 ∞ +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 +2 ρ2 /ρ1 T 2 /T 1 5.268 5.289 5.309 5.329 5.347 5.365 5.382 5.399 5.415 5.430 5.444 5.459 5.472 5.485 5.498 5.510 5.522 5.533 5.544 5.555 5.565 5.575 5.585 5.594 5.603 5.612 5.620 5.628 5.636 5.644 5.651 5.658 5.665 5.672 5.679 5.685 5.691 5.697 5.703 5.709 5.714 5.762 5.799 5.828 5.851 5.870 5.904 5.926 7.941 8.176 8.415 8.658 8.905 9.156 9.411 9.670 9.933 1.020 1.047 1.074 1.102 1.130 1.159 1.188 1.217 1.247 1.277 1.308 1.339 1.370 1.402 1.434 1.466 1.499 1.532 1.566 1.600 1.634 1.669 1.704 1.740 1.776 1.812 1.849 1.886 1.924 1.962 2.000 2.039 2.447 2.894 3.380 3.905 4.469 6.049 7.872 6.000 ∞ +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 +1 p o2 /p 01 p 1 /p 02 .2965 .2767 .2584 .2416 .2259 .2115 .1981 .1857 .1741 .1634 .1535 .1443 .1357 .1277 .1202 .1133 .1068 .1008 .9510 .8982 .8488 .8025 .7592 .7187 .6806 .6449 .6114 .5799 .5504 .5226 .4964 .4718 .4486 .4267 .4061 .3866 .3683 .3510 .3346 .3191 .3045 .1945 .1287 .8771 .6138 .4395 .2074 .1078 .2136 .2067 .2002 .1939 .1880 .1823 .1768 .1716 .1667 .1619 .1573 .1530 .1488 .1448 .1409 .1372 .1336 .1302 .1269 .1237 .1207 .1177 .1149 .1122 .1095 .1070 .1045 .1021 .9983 .9761 .9546 .9338 .9137 .8943 .8754 .8572 .8395 .8223 .8057 .7895 .7739 .6400 .5380 .4586 .3955 .3446 .2533 .1940 .0000 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -3 -3 -3 -3 -3 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -1 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 -2 .0000 10/10