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1. Consider the three wave interactions below, each of which turn the flow by an angle of 20 degrees. The inflow is Mach 3 in each case. i) 6 -20° ii) e=20° =20 0-10° Normal Shock Tables Y = 1.4 M, M, P,/P, P://PI T/T, P/Pet P/P PM Function 1.30 0.7860 1.8050 1.5157 1.1909 0.9794 0.3685 1.31 0.7809 1.8355 1.5331 1.1972 0.9776 0.3642 M 1.32 0.7760 1.8661 1.5505 1.2035 0.9758 0.3599 1.80 1.33 0.7712 1.8971 1.5680 1.2099 0.9738 0.3557 1.34 0.7664 1.9282 1.5854 1.2162 0.9718 0.3516 1.82 1.84 1.35 0.7618 1.9596 1.6028 1.2226 0.9697 0.3475 1.36 0.7572 1.9912 1.6202 1.2290 0.9676 0.3435 1.90 1.37 0.7527 2.0231 1.6376 1.2354 1.92 v(M) M v(M) 20.7251 2.60 41.4147 21.3021 2.62 41.8628 21.8768 2.64 42.3074 1.86 22.4492 2.66 42.7488 1.88 23.0190 2.68 43.1868 23.5861 2.70 43.6215 24.1506 2.72 44.0529 0.9653 0.3395 1.94 1.38 0.7483 24.7123 2.74 44.4810 2.0551 1.6549 1.2418 0.9630 0.3356 1.96 25.2711 2.76 44.9059 1.39 0.7440 2.0875 1.6723 1.2482 0.9607 0.3317 1.98 1.80 0.6165 3.6133 2.3592 1.5316 0.8127 0.2142 2.00 1.81 0.6143 3.6555 2.3751 1.5391 0.8082 0.2121 2.02 1.82 0.6121 2.04 25.8269 2.78 45.3275 26.3798 2.80 45.7459 26.9295 2.82 46.1611 27.4762 2.84 46.5731 3.6978 2.3909 1.5466 0.8038 0.2100 2.06 28.0197 2.86 46.9820 1.83 0.6099 3.7404 2.4067 1.5541 0.7993 0.2080 2.08 28.5600 2.88 47.3877 1.84 0.6078 3.7832 2.4224 1.5617 0.7948 0.2060 2.10 29.0971 2.90 47.7903 Theta-Beta-M (y = 1.4) 2.12 29.6308 2.92 48.1898 2.14 30.1613 2.94 48.5863 2.16 30.6884 2.96 48.9796 M 8 29 2° 4° 6° 8° 10° 12° 141016 18° 1.20 61.05 1.30 53.47 57.42 63.46 54.89 60.54 50.17 53.77 58.79 46.69 49.66 53.20 57.99 43.90 46.55 49.54 53.10 41.57 44.03 46.73 49.78 39.59 41.91 44.43 47.21 37.87 40.10 42.49 45.09 36.35 38.51 40.81 43.30 35.01 33.80 1.40 48.17 51.12 54.63 59.37 1.50 44.07 49.33 52.57 56.68 64.36 46.54 1.60 40.72 42.93 45.34 48.03 51.12 1.70 37.93 39.96 42.15 44.53 47.17 1.80 35.54 37.44 39.48 41.67 44.06 1.90 33.47 35.28 37.21 39.27 41.49 2.00 31.65 33.39 35.24 37.21 39.31 2.10 30.03 31.72 33.51 35.41 37.43 2.20 28.59 30.24 31.98 33.83 35.78 2.30 27.29 28.91 30.61 32.42 34.33 2.40 26.12 27.70 29.38 31.15 33.02 2.50 25.05 26.61 28.26 30.00 31.85 2.60 24.07 25.61 27.24 28.97 30.79 2.70 23.17 24.70 26.31 28.02 29.82 2.80 22.34 23.85 25.45 27.15 28.94 30.83 2.90 21.58 23.08 24.67 26.35 28.13 30.01 3.00 20.87 22.35 23.94 25.61 27.38 29.25 2.18 31.2121 2.98 49.3700 2.20 31.7325 3.00 49.7573 2.22 32.2494 3.02 50.1417 2.21 32.7629 3.04 50.5231 2.26 33.2730 3.06 50.9016 2.28 33.7796 3.08 51.2771 2.30 34.2828 3.10 51.6497 2.32 34.7825 3.12 2.34 35.2787 3.14 35.7715 3.16 2.38 36.2607 3.18 53.1118 52.0195 52.3864 52.7505 20° 2.36 2.40 36.7465 3.20 2.42 57.90 2.44 53.42 50.37 47.98 53.4703 37.2289 3.22 53.8261 37.7077 3.24 54.1791 2.46 38.1831 3.26 54.5294 2.48 38.6551 3.28 54.8770 2.50 39.1236 3.30 55.2220 46.01 2.52 37.11 39.35 41.75 44.34 2.54 39.5886 3.32 55.5643 55.9040 40.0503 3.34 2.56 40.5085 3.36 56.2411 35.87 38.06 40.39 42.89 2.58 40.9633 3.38 56.5756 32.71 34.75 36.90 39.19 41.62 31.73 33.74 35.86 38.11 40.50 32.82 34.92 37.14 39.49 31.99 31.22 33.29 35.47 34.07 36.26 38.58 37.76

1. Consider the three wave interactions below, each of which turn the flow by an angle of 20 degrees. The inflow is Mach 3 in each case. i) 6 -20° ii) e=20° =20 0-10° Normal Shock Tables Y = 1.4 M, M, P,/P, P://PI T/T, P/Pet P/P PM Function 1.30 0.7860 1.8050 1.5157 1.1909 0.9794 0.3685 1.31 0.7809 1.8355 1.5331 1.1972 0.9776 0.3642 M 1.32 0.7760 1.8661 1.5505 1.2035 0.9758 0.3599 1.80 1.33 0.7712 1.8971 1.5680 1.2099 0.9738 0.3557 1.34 0.7664 1.9282 1.5854 1.2162 0.9718 0.3516 1.82 1.84 1.35 0.7618 1.9596 1.6028 1.2226 0.9697 0.3475 1.36 0.7572 1.9912 1.6202 1.2290 0.9676 0.3435 1.90 1.37 0.7527 2.0231 1.6376 1.2354 1.92 v(M) M v(M) 20.7251 2.60 41.4147 21.3021 2.62 41.8628 21.8768 2.64 42.3074 1.86 22.4492 2.66 42.7488 1.88 23.0190 2.68 43.1868 23.5861 2.70 43.6215 24.1506 2.72 44.0529 0.9653 0.3395 1.94 1.38 0.7483 24.7123 2.74 44.4810 2.0551 1.6549 1.2418 0.9630 0.3356 1.96 25.2711 2.76 44.9059 1.39 0.7440 2.0875 1.6723 1.2482 0.9607 0.3317 1.98 1.80 0.6165 3.6133 2.3592 1.5316 0.8127 0.2142 2.00 1.81 0.6143 3.6555 2.3751 1.5391 0.8082 0.2121 2.02 1.82 0.6121 2.04 25.8269 2.78 45.3275 26.3798 2.80 45.7459 26.9295 2.82 46.1611 27.4762 2.84 46.5731 3.6978 2.3909 1.5466 0.8038 0.2100 2.06 28.0197 2.86 46.9820 1.83 0.6099 3.7404 2.4067 1.5541 0.7993 0.2080 2.08 28.5600 2.88 47.3877 1.84 0.6078 3.7832 2.4224 1.5617 0.7948 0.2060 2.10 29.0971 2.90 47.7903 Theta-Beta-M (y = 1.4) 2.12 29.6308 2.92 48.1898 2.14 30.1613 2.94 48.5863 2.16 30.6884 2.96 48.9796 M 8 29 2° 4° 6° 8° 10° 12° 141016 18° 1.20 61.05 1.30 53.47 57.42 63.46 54.89 60.54 50.17 53.77 58.79 46.69 49.66 53.20 57.99 43.90 46.55 49.54 53.10 41.57 44.03 46.73 49.78 39.59 41.91 44.43 47.21 37.87 40.10 42.49 45.09 36.35 38.51 40.81 43.30 35.01 33.80 1.40 48.17 51.12 54.63 59.37 1.50 44.07 49.33 52.57 56.68 64.36 46.54 1.60 40.72 42.93 45.34 48.03 51.12 1.70 37.93 39.96 42.15 44.53 47.17 1.80 35.54 37.44 39.48 41.67 44.06 1.90 33.47 35.28 37.21 39.27 41.49 2.00 31.65 33.39 35.24 37.21 39.31 2.10 30.03 31.72 33.51 35.41 37.43 2.20 28.59 30.24 31.98 33.83 35.78 2.30 27.29 28.91 30.61 32.42 34.33 2.40 26.12 27.70 29.38 31.15 33.02 2.50 25.05 26.61 28.26 30.00 31.85 2.60 24.07 25.61 27.24 28.97 30.79 2.70 23.17 24.70 26.31 28.02 29.82 2.80 22.34 23.85 25.45 27.15 28.94 30.83 2.90 21.58 23.08 24.67 26.35 28.13 30.01 3.00 20.87 22.35 23.94 25.61 27.38 29.25 2.18 31.2121 2.98 49.3700 2.20 31.7325 3.00 49.7573 2.22 32.2494 3.02 50.1417 2.21 32.7629 3.04 50.5231 2.26 33.2730 3.06 50.9016 2.28 33.7796 3.08 51.2771 2.30 34.2828 3.10 51.6497 2.32 34.7825 3.12 2.34 35.2787 3.14 35.7715 3.16 2.38 36.2607 3.18 53.1118 52.0195 52.3864 52.7505 20° 2.36 2.40 36.7465 3.20 2.42 57.90 2.44 53.42 50.37 47.98 53.4703 37.2289 3.22 53.8261 37.7077 3.24 54.1791 2.46 38.1831 3.26 54.5294 2.48 38.6551 3.28 54.8770 2.50 39.1236 3.30 55.2220 46.01 2.52 37.11 39.35 41.75 44.34 2.54 39.5886 3.32 55.5643 55.9040 40.0503 3.34 2.56 40.5085 3.36 56.2411 35.87 38.06 40.39 42.89 2.58 40.9633 3.38 56.5756 32.71 34.75 36.90 39.19 41.62 31.73 33.74 35.86 38.11 40.50 32.82 34.92 37.14 39.49 31.99 31.22 33.29 35.47 34.07 36.26 38.58 37.76

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Using the Image below solve the following two questions, AND ONLY SOLVE FOR i and iii

a.Determine The total pressure loss in the final state, after the 20 degree turn, for i and iii. (I'd also like to confirm for ii that the total pressure loss is 0?)

b.Determine the Mach number in the final state. For which geometry is this highest? ( For ii it is 2.12)

ALSO USE THE OTHER PICTURE WITH TABLES TO HELP YOU ANSWER

1. Consider the three wave interactions below, each of which turn the flow by an angle of 20 degrees. The inflow is Mach 3 in each case. i) 6 -20° ii) e=20° =20 0-10°
Transcribed Image Text:1. Consider the three wave interactions below, each of which turn the flow by an angle of 20 degrees. The inflow is Mach 3 in each case. i) 6 -20° ii) e=20° =20 0-10°
Normal Shock Tables Y = 1.4 M, M, P,/P, P://PI T/T, P/Pet P/P PM Function 1.30 0.7860 1.8050 1.5157 1.1909 0.9794 0.3685 1.31 0.7809 1.8355 1.5331 1.1972 0.9776 0.3642 M 1.32 0.7760 1.8661 1.5505 1.2035 0.9758 0.3599 1.80 1.33 0.7712 1.8971 1.5680 1.2099 0.9738 0.3557 1.34 0.7664 1.9282 1.5854 1.2162 0.9718 0.3516 1.82 1.84 1.35 0.7618 1.9596 1.6028 1.2226 0.9697 0.3475 1.36 0.7572 1.9912 1.6202 1.2290 0.9676 0.3435 1.90 1.37 0.7527 2.0231 1.6376 1.2354 1.92 v(M) M v(M) 20.7251 2.60 41.4147 21.3021 2.62 41.8628 21.8768 2.64 42.3074 1.86 22.4492 2.66 42.7488 1.88 23.0190 2.68 43.1868 23.5861 2.70 43.6215 24.1506 2.72 44.0529 0.9653 0.3395 1.94 1.38 0.7483 24.7123 2.74 44.4810 2.0551 1.6549 1.2418 0.9630 0.3356 1.96 25.2711 2.76 44.9059 1.39 0.7440 2.0875 1.6723 1.2482 0.9607 0.3317 1.98 1.80 0.6165 3.6133 2.3592 1.5316 0.8127 0.2142 2.00 1.81 0.6143 3.6555 2.3751 1.5391 0.8082 0.2121 2.02 1.82 0.6121 2.04 25.8269 2.78 45.3275 26.3798 2.80 45.7459 26.9295 2.82 46.1611 27.4762 2.84 46.5731 3.6978 2.3909 1.5466 0.8038 0.2100 2.06 28.0197 2.86 46.9820 1.83 0.6099 3.7404 2.4067 1.5541 0.7993 0.2080 2.08 28.5600 2.88 47.3877 1.84 0.6078 3.7832 2.4224 1.5617 0.7948 0.2060 2.10 29.0971 2.90 47.7903 Theta-Beta-M (y = 1.4) 2.12 29.6308 2.92 48.1898 2.14 30.1613 2.94 48.5863 2.16 30.6884 2.96 48.9796 M 8 29 2° 4° 6° 8° 10° 12° 141016 18° 1.20 61.05 1.30 53.47 57.42 63.46 54.89 60.54 50.17 53.77 58.79 46.69 49.66 53.20 57.99 43.90 46.55 49.54 53.10 41.57 44.03 46.73 49.78 39.59 41.91 44.43 47.21 37.87 40.10 42.49 45.09 36.35 38.51 40.81 43.30 35.01 33.80 1.40 48.17 51.12 54.63 59.37 1.50 44.07 49.33 52.57 56.68 64.36 46.54 1.60 40.72 42.93 45.34 48.03 51.12 1.70 37.93 39.96 42.15 44.53 47.17 1.80 35.54 37.44 39.48 41.67 44.06 1.90 33.47 35.28 37.21 39.27 41.49 2.00 31.65 33.39 35.24 37.21 39.31 2.10 30.03 31.72 33.51 35.41 37.43 2.20 28.59 30.24 31.98 33.83 35.78 2.30 27.29 28.91 30.61 32.42 34.33 2.40 26.12 27.70 29.38 31.15 33.02 2.50 25.05 26.61 28.26 30.00 31.85 2.60 24.07 25.61 27.24 28.97 30.79 2.70 23.17 24.70 26.31 28.02 29.82 2.80 22.34 23.85 25.45 27.15 28.94 30.83 2.90 21.58 23.08 24.67 26.35 28.13 30.01 3.00 20.87 22.35 23.94 25.61 27.38 29.25 2.18 31.2121 2.98 49.3700 2.20 31.7325 3.00 49.7573 2.22 32.2494 3.02 50.1417 2.21 32.7629 3.04 50.5231 2.26 33.2730 3.06 50.9016 2.28 33.7796 3.08 51.2771 2.30 34.2828 3.10 51.6497 2.32 34.7825 3.12 2.34 35.2787 3.14 35.7715 3.16 2.38 36.2607 3.18 53.1118 52.0195 52.3864 52.7505 20° 2.36 2.40 36.7465 3.20 2.42 57.90 2.44 53.42 50.37 47.98 53.4703 37.2289 3.22 53.8261 37.7077 3.24 54.1791 2.46 38.1831 3.26 54.5294 2.48 38.6551 3.28 54.8770 2.50 39.1236 3.30 55.2220 46.01 2.52 37.11 39.35 41.75 44.34 2.54 39.5886 3.32 55.5643 55.9040 40.0503 3.34 2.56 40.5085 3.36 56.2411 35.87 38.06 40.39 42.89 2.58 40.9633 3.38 56.5756 32.71 34.75 36.90 39.19 41.62 31.73 33.74 35.86 38.11 40.50 32.82 34.92 37.14 39.49 31.99 31.22 33.29 35.47 34.07 36.26 38.58 37.76
Transcribed Image Text:Normal Shock Tables Y = 1.4 M, M, P,/P, P://PI T/T, P/Pet P/P PM Function 1.30 0.7860 1.8050 1.5157 1.1909 0.9794 0.3685 1.31 0.7809 1.8355 1.5331 1.1972 0.9776 0.3642 M 1.32 0.7760 1.8661 1.5505 1.2035 0.9758 0.3599 1.80 1.33 0.7712 1.8971 1.5680 1.2099 0.9738 0.3557 1.34 0.7664 1.9282 1.5854 1.2162 0.9718 0.3516 1.82 1.84 1.35 0.7618 1.9596 1.6028 1.2226 0.9697 0.3475 1.36 0.7572 1.9912 1.6202 1.2290 0.9676 0.3435 1.90 1.37 0.7527 2.0231 1.6376 1.2354 1.92 v(M) M v(M) 20.7251 2.60 41.4147 21.3021 2.62 41.8628 21.8768 2.64 42.3074 1.86 22.4492 2.66 42.7488 1.88 23.0190 2.68 43.1868 23.5861 2.70 43.6215 24.1506 2.72 44.0529 0.9653 0.3395 1.94 1.38 0.7483 24.7123 2.74 44.4810 2.0551 1.6549 1.2418 0.9630 0.3356 1.96 25.2711 2.76 44.9059 1.39 0.7440 2.0875 1.6723 1.2482 0.9607 0.3317 1.98 1.80 0.6165 3.6133 2.3592 1.5316 0.8127 0.2142 2.00 1.81 0.6143 3.6555 2.3751 1.5391 0.8082 0.2121 2.02 1.82 0.6121 2.04 25.8269 2.78 45.3275 26.3798 2.80 45.7459 26.9295 2.82 46.1611 27.4762 2.84 46.5731 3.6978 2.3909 1.5466 0.8038 0.2100 2.06 28.0197 2.86 46.9820 1.83 0.6099 3.7404 2.4067 1.5541 0.7993 0.2080 2.08 28.5600 2.88 47.3877 1.84 0.6078 3.7832 2.4224 1.5617 0.7948 0.2060 2.10 29.0971 2.90 47.7903 Theta-Beta-M (y = 1.4) 2.12 29.6308 2.92 48.1898 2.14 30.1613 2.94 48.5863 2.16 30.6884 2.96 48.9796 M 8 29 2° 4° 6° 8° 10° 12° 141016 18° 1.20 61.05 1.30 53.47 57.42 63.46 54.89 60.54 50.17 53.77 58.79 46.69 49.66 53.20 57.99 43.90 46.55 49.54 53.10 41.57 44.03 46.73 49.78 39.59 41.91 44.43 47.21 37.87 40.10 42.49 45.09 36.35 38.51 40.81 43.30 35.01 33.80 1.40 48.17 51.12 54.63 59.37 1.50 44.07 49.33 52.57 56.68 64.36 46.54 1.60 40.72 42.93 45.34 48.03 51.12 1.70 37.93 39.96 42.15 44.53 47.17 1.80 35.54 37.44 39.48 41.67 44.06 1.90 33.47 35.28 37.21 39.27 41.49 2.00 31.65 33.39 35.24 37.21 39.31 2.10 30.03 31.72 33.51 35.41 37.43 2.20 28.59 30.24 31.98 33.83 35.78 2.30 27.29 28.91 30.61 32.42 34.33 2.40 26.12 27.70 29.38 31.15 33.02 2.50 25.05 26.61 28.26 30.00 31.85 2.60 24.07 25.61 27.24 28.97 30.79 2.70 23.17 24.70 26.31 28.02 29.82 2.80 22.34 23.85 25.45 27.15 28.94 30.83 2.90 21.58 23.08 24.67 26.35 28.13 30.01 3.00 20.87 22.35 23.94 25.61 27.38 29.25 2.18 31.2121 2.98 49.3700 2.20 31.7325 3.00 49.7573 2.22 32.2494 3.02 50.1417 2.21 32.7629 3.04 50.5231 2.26 33.2730 3.06 50.9016 2.28 33.7796 3.08 51.2771 2.30 34.2828 3.10 51.6497 2.32 34.7825 3.12 2.34 35.2787 3.14 35.7715 3.16 2.38 36.2607 3.18 53.1118 52.0195 52.3864 52.7505 20° 2.36 2.40 36.7465 3.20 2.42 57.90 2.44 53.42 50.37 47.98 53.4703 37.2289 3.22 53.8261 37.7077 3.24 54.1791 2.46 38.1831 3.26 54.5294 2.48 38.6551 3.28 54.8770 2.50 39.1236 3.30 55.2220 46.01 2.52 37.11 39.35 41.75 44.34 2.54 39.5886 3.32 55.5643 55.9040 40.0503 3.34 2.56 40.5085 3.36 56.2411 35.87 38.06 40.39 42.89 2.58 40.9633 3.38 56.5756 32.71 34.75 36.90 39.19 41.62 31.73 33.74 35.86 38.11 40.50 32.82 34.92 37.14 39.49 31.99 31.22 33.29 35.47 34.07 36.26 38.58 37.76
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