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A normal shock wave propagates into atmosphere where the atmospheric temperature is equal to T₁ = 336 K and pressure is 0.8 atm. For a given pressure ratio of p2/p₁ = 41 Use Table A.2 which is constructed using equations derived for stationary normal shock wave to calculate the properties stated in part a. State the relative velocities clearly and compare your calculated values with part a.

A normal shock wave propagates into atmosphere where the atmospheric temperature is equal to T₁ = 336 K and pressure is 0.8 atm. For a given pressure ratio of p2/p₁ = 41 Use Table A.2 which is constructed using equations derived for stationary normal shock wave to calculate the properties stated in part a. State the relative velocities clearly and compare your calculated values with part a.

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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Table A.2: Normal shock properties (y = 1.4) continued AE306 AERODYNAMICS LECTURE APPENDICES M 4.9 P2/P1 P2/P1 T2/T1 Po₂/Po 7 P02/P1 2.75000e+00 8.65625e+00 3.61194e+00 2.39657e+00 4.06226e-01 1.02127e+01 4.91810e-01 2.80000e+00 8.98000e+00 3.66355e+00 2.45117e+00 3.89464e-01 1.05694e+01 4.88167e-01 2.85000e+00 9.30958e+00 3.71385e+00 2.50672e+00 3.73302e-01 1.09326e+01 4.84694e-01 2.90000e+00 9.64500e+00 3.76286e+00 2.56321e+00 3.57733e-01 1.13022e+01 4.81380e-01 2.95000e+00 9.98625e+00 3.81062e+00 2.62064e+00 3.42750e-01 1.16784e+01 4.78215e-01 3.00000e+00 1.03333e+01 3.85714e+00 2.67901e+00 3.28344e-01 1.20610e+01 4.75191e-01 3.05000e+00 1.06862e+01 3.90246e+00 2.73833e+00 3.14502e-01 1.24500e+01 4.72300E-01 3.10000e+00 1.10450e+01 3.94661e+00 2.79860e+00 3.01211e-01 1.28455e+01 4.69534e-01 3.15000e+00 1.14096e+01 3.98961e+00 2.85982e+00 2.88458e-01 1.32475e+01 4.66885e-01 3.20000e+00 1.17800e+01 4.03150e+00 2.92199e+00 2.76229e-01 1.36559e+01 4.64349e-01 3.25000e+00 1.21562e+01 4.07229e+00 2.98511e+00 2.64506e-01 1.40708e+01 4.61917e-01 3.30000e+00 1.25383e+01 4.11202e+00 3.04919e+00 2.53276e-01 1.44921e+01 4.59586e-01 3.35000e+00 1.29262e+01 4.15072e+00 3.11422e+00 2.42521e-01 1.49199e+01 4.57348e-01 3.40000e+00 1.33200e+01 4.18841e+00 3.18021e+00 2.32226e-01 1.53542e+01 4.55200E-01 3.45000e+00 1.37196e+01 4.22511e+00 3.24715e+00 2.22373e-01 1.57949e+01 4.53137e-01 3.50000e+00 1.41250e+01 4.26087e+00 3.31505e+00 2.12948e-01 1.62420e+01 4.51154e-01 3.55000e+00 1.45362e+01 4.29570e+00 3.38391e+00 2.03933e-01 1.66956e+01 4.49247e-01 3.60000e+00 1.49533e+01 4.32962e+00 3.45373e+00 1.95312e-01 1.71556e+01 4.47413e-01 3.65000e+00 1.53763e+01 4.36267e+00 3.52451e+00 1.87071e-01 1.76221e+01 4.45648e-01 3.70000e+00 1.58050e+01 4.39486e+00 3.59624e+00 1.79194e-01 1.80951e+01 4.43948e-01 3.75000e+00 1.62396e+01 4.42623e+00 3.66894e+00 1.71665e-01 1.85745e+01 4.42310e-01 3.80000e+00 1.66800e+01 4.45679e+00 3.74260e+00 1.64470e-01 1.90603e+01 4.40732e-01 3.85000e+00 1.71262e+01 4.48657e+00 3.81723e+00 1.57596e-01 1.95526e+01 4.39210e-01 3.90000e+00 1.75783e+01 4.51559e+00 3.89281e+00 1.51027e-01 2.00513e+01 4.37742e-01 3.95000e+00 1.80363e+01 4.54387e+00 3.96936e+00 1.44752e-01 2.05565e+01 4.36326e-01 4.00000e+00 1.85000e+01 4.57143e+00 4.04687e+00 1.38756e-01 2.10681e+01 4.34959e-01 4.05000e+00 1.89696e+01 4.59829e+00 4.12535e+00 1.33028e-01 2.15861e+01 4.33638e-01 4.10000e+00 1.94450e+01 4.62448e+00 4.20479e+00 1.27556e-01 2.21106e+01 4.32363e-01 4.15000E+00 1.99263e+01 4.65002e+00 4.28520e+00 1.22328e-01 2.26416e+01 4.31130e-01 1.17334e-01 2.31790e+01 4.29938e-01 4.28785e-01 4.20000e+00 2.04133e+01 4.67491e+00 4.36657e+00 4.25000e+00 2.09062e+01 4.69919e+00 4.44891e+00 1.12561e-01 2.37228e+01 4.30000e+00 2.14050e+01 4.72286e+00 4.53221e+00 1.08002e-01 2.42731e+01 4.27669e-01 4.35000e+00 2.19096e+01 4.74595e+00 4.61648e+00 1.03644e-01 2.48298e+01 4.26590e-01 4.40000e+00 2.24200e+01 4.76847e+00 4.70171e+00 9.94806e-02 2.53930e+01 4.25545e-01 4.45000e+00 2.29363e+01 4.79044e+00 4.78792e+00 9.55013e-02 2.59626e+01 4.24532e-01 4.50000e+00 2.34583e+01 4.81188e+00 4.87509e+00 9.16979e-02 2.65387e+01 4.23552e-01 4.55000e+00 2.39862e+01 4.83280e+00 4.96322e+00 8.80622e-02 2.71212e+01 4.22601e-01 4.60000e+00 2.45200e+01 4.85321e+00 5.05233e+00 8.45865e-02 2.77101e+01 4.21680e-01 4.65000e+00 2.50596e+01 4.87313e+00 5.14240e+00 8.12633e-02 2.83055e+01 4.20787e-01 4.70000e+00 2.56050e+01 4.89258e+00 5.23343e+00 7.80856e-02 2.89073e+01 4.19920e-01 4.75000e+00 2.61562e+01 4.91156e+00 5.32544e+00 7.50466e-02 2.95156e+01 4.19079e-01 4.80000e+00 2.67133e+01 4.93010e+00 5.41842e+00 7.21398e-02 3.01303e+01 4.18263e-01 4.85000e+00 2.72762e+01 4.94820e+00 5.51236e+00 6.93591e-02 3.07514e+01 4.17471e-01 2.78450e+01 4.96587e+ 5.60727e+00 6.66986e 3.13790e+01 4.16701e-01 4.95000e+00 2.84196e+01 4.98314e+00 5.70315e+00 6.41528e-02 3.20130e+01 4.15954e-01 5.00000e+00 2.90000e+01 5.00000e+00 5.80000E+00 6.17163e-02 3.26535e+01 4.15227e-01 5.10000e+00 3.01783e+01 5.03257e+00 5.99660e+00 5.71513e-02 3.39537e+01 4.13835e-01 5.20000e+00 3.13800e+01 5.06367e+00 6.19709e+00 5.29659e-02 3.52797e+01 4.12519e-01 5.30000e+00 3.26050e+01 5.09338e+00 6.40144e+00 4.91260e-02 3.66315e+01 4.11273e-01 5.40000e+00 3.38533e+01 5.12178e+00 6.60968e+00 4.56005e-02 3.80091e+01 4.10093e-01 5.50000e+00 3.51250e+01 5.14894e+00 6.82180e+00 4.23614e-02 3.94124e+01 4.08974e-01 5.60000E+00 3.64200+01 5.17492e+00 7.03779e+00 3.93833e-02 4.08414e+01 4.07912e-01 5.70000e+00 3.77383e+01 5.19979e+00 7.25767e+00 3.66431e-02 4.22962e+01 4.06903e-01 5.80000e+00 3.90800e+01 5.22360e+00 7.48143e+00 3.41200e-02 4.37768e+01 4.05944e-01 5.90000e+00. 4.04450e+01 5.24642e+00 7.70907e+00 3.17950e-02 4.52831e+01 4.05031e-01 6.00000e+00 4.18333e+01 5.26829e+00 7.94059e+00 2.96509e-02 4.68152e+01 4.04162e-01 6.10000e+00 4.32450e+01 5.28927e+00 8.17599e+00 2.76723e-02 4.83730e+01 4.03333e-01 6.20000e+00 4.46800e+01 5.30939e+00 8.41528e+00 2.58448e-02 4.99566e+01 4.02543e-01 6.30000e+00 4.61383e+01 5.32871e+00 8.65845e+00 2.41558e-02 5.15660e+01 4.01790e-01 6.40000E+00 4.76200e+01 5.34726e+00 8.90550e+00 2.25936e-02 5.32011e+01 4.01070e-01 6.50000e+00 4.91250e+01 5.36508e+00 9.15643e+00 2.11476e-02 5.48620e+01 4.00381e-01 6.60000e+00 5.06533e+01 5.38221e+00 9.41126e+00 1.98080e-02 5.65486e+01 3.99724e-01 6.70000E+00 5.22050e+01 5.39868e+00 9.66996e+00 1.85663e-02 5.82610e+01 3.99094e-01 6.80000E+00 5.37800e+01 5.41452e+00 9.93255e+00 1.74144e-02 5.99991e+01 3.98491e-01 6.90000e+00 5.53783e+01 5.42977e+00 1.01990e+01 1.63450e-02 6.17630e+01 3.97913e-01 M2
Transcribed Image Text:Table A.2: Normal shock properties (y = 1.4) continued AE306 AERODYNAMICS LECTURE APPENDICES M 4.9 P2/P1 P2/P1 T2/T1 Po₂/Po 7 P02/P1 2.75000e+00 8.65625e+00 3.61194e+00 2.39657e+00 4.06226e-01 1.02127e+01 4.91810e-01 2.80000e+00 8.98000e+00 3.66355e+00 2.45117e+00 3.89464e-01 1.05694e+01 4.88167e-01 2.85000e+00 9.30958e+00 3.71385e+00 2.50672e+00 3.73302e-01 1.09326e+01 4.84694e-01 2.90000e+00 9.64500e+00 3.76286e+00 2.56321e+00 3.57733e-01 1.13022e+01 4.81380e-01 2.95000e+00 9.98625e+00 3.81062e+00 2.62064e+00 3.42750e-01 1.16784e+01 4.78215e-01 3.00000e+00 1.03333e+01 3.85714e+00 2.67901e+00 3.28344e-01 1.20610e+01 4.75191e-01 3.05000e+00 1.06862e+01 3.90246e+00 2.73833e+00 3.14502e-01 1.24500e+01 4.72300E-01 3.10000e+00 1.10450e+01 3.94661e+00 2.79860e+00 3.01211e-01 1.28455e+01 4.69534e-01 3.15000e+00 1.14096e+01 3.98961e+00 2.85982e+00 2.88458e-01 1.32475e+01 4.66885e-01 3.20000e+00 1.17800e+01 4.03150e+00 2.92199e+00 2.76229e-01 1.36559e+01 4.64349e-01 3.25000e+00 1.21562e+01 4.07229e+00 2.98511e+00 2.64506e-01 1.40708e+01 4.61917e-01 3.30000e+00 1.25383e+01 4.11202e+00 3.04919e+00 2.53276e-01 1.44921e+01 4.59586e-01 3.35000e+00 1.29262e+01 4.15072e+00 3.11422e+00 2.42521e-01 1.49199e+01 4.57348e-01 3.40000e+00 1.33200e+01 4.18841e+00 3.18021e+00 2.32226e-01 1.53542e+01 4.55200E-01 3.45000e+00 1.37196e+01 4.22511e+00 3.24715e+00 2.22373e-01 1.57949e+01 4.53137e-01 3.50000e+00 1.41250e+01 4.26087e+00 3.31505e+00 2.12948e-01 1.62420e+01 4.51154e-01 3.55000e+00 1.45362e+01 4.29570e+00 3.38391e+00 2.03933e-01 1.66956e+01 4.49247e-01 3.60000e+00 1.49533e+01 4.32962e+00 3.45373e+00 1.95312e-01 1.71556e+01 4.47413e-01 3.65000e+00 1.53763e+01 4.36267e+00 3.52451e+00 1.87071e-01 1.76221e+01 4.45648e-01 3.70000e+00 1.58050e+01 4.39486e+00 3.59624e+00 1.79194e-01 1.80951e+01 4.43948e-01 3.75000e+00 1.62396e+01 4.42623e+00 3.66894e+00 1.71665e-01 1.85745e+01 4.42310e-01 3.80000e+00 1.66800e+01 4.45679e+00 3.74260e+00 1.64470e-01 1.90603e+01 4.40732e-01 3.85000e+00 1.71262e+01 4.48657e+00 3.81723e+00 1.57596e-01 1.95526e+01 4.39210e-01 3.90000e+00 1.75783e+01 4.51559e+00 3.89281e+00 1.51027e-01 2.00513e+01 4.37742e-01 3.95000e+00 1.80363e+01 4.54387e+00 3.96936e+00 1.44752e-01 2.05565e+01 4.36326e-01 4.00000e+00 1.85000e+01 4.57143e+00 4.04687e+00 1.38756e-01 2.10681e+01 4.34959e-01 4.05000e+00 1.89696e+01 4.59829e+00 4.12535e+00 1.33028e-01 2.15861e+01 4.33638e-01 4.10000e+00 1.94450e+01 4.62448e+00 4.20479e+00 1.27556e-01 2.21106e+01 4.32363e-01 4.15000E+00 1.99263e+01 4.65002e+00 4.28520e+00 1.22328e-01 2.26416e+01 4.31130e-01 1.17334e-01 2.31790e+01 4.29938e-01 4.28785e-01 4.20000e+00 2.04133e+01 4.67491e+00 4.36657e+00 4.25000e+00 2.09062e+01 4.69919e+00 4.44891e+00 1.12561e-01 2.37228e+01 4.30000e+00 2.14050e+01 4.72286e+00 4.53221e+00 1.08002e-01 2.42731e+01 4.27669e-01 4.35000e+00 2.19096e+01 4.74595e+00 4.61648e+00 1.03644e-01 2.48298e+01 4.26590e-01 4.40000e+00 2.24200e+01 4.76847e+00 4.70171e+00 9.94806e-02 2.53930e+01 4.25545e-01 4.45000e+00 2.29363e+01 4.79044e+00 4.78792e+00 9.55013e-02 2.59626e+01 4.24532e-01 4.50000e+00 2.34583e+01 4.81188e+00 4.87509e+00 9.16979e-02 2.65387e+01 4.23552e-01 4.55000e+00 2.39862e+01 4.83280e+00 4.96322e+00 8.80622e-02 2.71212e+01 4.22601e-01 4.60000e+00 2.45200e+01 4.85321e+00 5.05233e+00 8.45865e-02 2.77101e+01 4.21680e-01 4.65000e+00 2.50596e+01 4.87313e+00 5.14240e+00 8.12633e-02 2.83055e+01 4.20787e-01 4.70000e+00 2.56050e+01 4.89258e+00 5.23343e+00 7.80856e-02 2.89073e+01 4.19920e-01 4.75000e+00 2.61562e+01 4.91156e+00 5.32544e+00 7.50466e-02 2.95156e+01 4.19079e-01 4.80000e+00 2.67133e+01 4.93010e+00 5.41842e+00 7.21398e-02 3.01303e+01 4.18263e-01 4.85000e+00 2.72762e+01 4.94820e+00 5.51236e+00 6.93591e-02 3.07514e+01 4.17471e-01 2.78450e+01 4.96587e+ 5.60727e+00 6.66986e 3.13790e+01 4.16701e-01 4.95000e+00 2.84196e+01 4.98314e+00 5.70315e+00 6.41528e-02 3.20130e+01 4.15954e-01 5.00000e+00 2.90000e+01 5.00000e+00 5.80000E+00 6.17163e-02 3.26535e+01 4.15227e-01 5.10000e+00 3.01783e+01 5.03257e+00 5.99660e+00 5.71513e-02 3.39537e+01 4.13835e-01 5.20000e+00 3.13800e+01 5.06367e+00 6.19709e+00 5.29659e-02 3.52797e+01 4.12519e-01 5.30000e+00 3.26050e+01 5.09338e+00 6.40144e+00 4.91260e-02 3.66315e+01 4.11273e-01 5.40000e+00 3.38533e+01 5.12178e+00 6.60968e+00 4.56005e-02 3.80091e+01 4.10093e-01 5.50000e+00 3.51250e+01 5.14894e+00 6.82180e+00 4.23614e-02 3.94124e+01 4.08974e-01 5.60000E+00 3.64200+01 5.17492e+00 7.03779e+00 3.93833e-02 4.08414e+01 4.07912e-01 5.70000e+00 3.77383e+01 5.19979e+00 7.25767e+00 3.66431e-02 4.22962e+01 4.06903e-01 5.80000e+00 3.90800e+01 5.22360e+00 7.48143e+00 3.41200e-02 4.37768e+01 4.05944e-01 5.90000e+00. 4.04450e+01 5.24642e+00 7.70907e+00 3.17950e-02 4.52831e+01 4.05031e-01 6.00000e+00 4.18333e+01 5.26829e+00 7.94059e+00 2.96509e-02 4.68152e+01 4.04162e-01 6.10000e+00 4.32450e+01 5.28927e+00 8.17599e+00 2.76723e-02 4.83730e+01 4.03333e-01 6.20000e+00 4.46800e+01 5.30939e+00 8.41528e+00 2.58448e-02 4.99566e+01 4.02543e-01 6.30000e+00 4.61383e+01 5.32871e+00 8.65845e+00 2.41558e-02 5.15660e+01 4.01790e-01 6.40000E+00 4.76200e+01 5.34726e+00 8.90550e+00 2.25936e-02 5.32011e+01 4.01070e-01 6.50000e+00 4.91250e+01 5.36508e+00 9.15643e+00 2.11476e-02 5.48620e+01 4.00381e-01 6.60000e+00 5.06533e+01 5.38221e+00 9.41126e+00 1.98080e-02 5.65486e+01 3.99724e-01 6.70000E+00 5.22050e+01 5.39868e+00 9.66996e+00 1.85663e-02 5.82610e+01 3.99094e-01 6.80000E+00 5.37800e+01 5.41452e+00 9.93255e+00 1.74144e-02 5.99991e+01 3.98491e-01 6.90000e+00 5.53783e+01 5.42977e+00 1.01990e+01 1.63450e-02 6.17630e+01 3.97913e-01 M2
to T₁ A normal shock wave propagates into atmosphere where the atmospheric temperature is equal 336 K and pressure is 0.8 atm. For a given pressure ratio of p2/p₁ = 41 Use Table A.2 which is constructed using equations derived for stationary normal shock wave to calculate the properties stated in part a. State the relative velocities clearly and compare your calculated values with part a.
Transcribed Image Text:to T₁ A normal shock wave propagates into atmosphere where the atmospheric temperature is equal 336 K and pressure is 0.8 atm. For a given pressure ratio of p2/p₁ = 41 Use Table A.2 which is constructed using equations derived for stationary normal shock wave to calculate the properties stated in part a. State the relative velocities clearly and compare your calculated values with part a.
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