1. Shock Tube Consider air sitting stationary in the test section of a shock tube with...

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1. Shock Tube Consider air sitting stationary in the test section of a shock tube with a diameter of D = 0.2m and length of of L = 0.25m. The air in the test section is at a pressure of 700kPa and a temperature of 150K A traveling shock passes by, raising the pressure by a factor of 29 and the density by a factor of 5. Determine the following: (a) The temperature of the test section after the shock, making any assumptions you find necessary. (b) the compressibility factor of the test section after the shock. What does this value tell you about your answer from part a)? (c) The temperature of the test section after the shock using the Van der Waals equation a (P+) x (v - b) = RT (1) m. If we are to assume the Van kg where v is specific volume, a = 161.5Jxm, and b=1.26 x 10 kg der Waals eqaution to be a more suitable model, what is the percent error of the temperature found in part a)? General information Critical pressure for air is P = 3.77 106 Pa, and critical temperature is T = 132.4 K Use specific heat ratio of y=1.4 where needed. Use gravitational acceleration of g = 9.8m/s Compressibility chart can be found in the slides, available on Canvas 1. Shock Tube Consider air sitting stationary in the test section of a shock tube with a diameter of D = 0.2m and length of of L = 0.25m. The air in the test section is at a pressure of 700kPa and a temperature of 150K A traveling shock passes by, raising the pressure by a factor of 29 and the density by a factor of 5. Determine the following: (a) The temperature of the test section after the shock, making any assumptions you find necessary. (b) the compressibility factor of the test section after the shock. What does this value tell you about your answer from part a)? (c) The temperature of the test section after the shock using the Van der Waals equation a (P+) x (v - b) = RT (1) m. If we are to assume the Van kg where v is specific volume, a = 161.5Jxm, and b=1.26 x 10 kg der Waals eqaution to be a more suitable model, what is the percent error of the temperature found in part a)? General information Critical pressure for air is P = 3.77 106 Pa, and critical temperature is T = 132.4 K Use specific heat ratio of y=1.4 where needed. Use gravitational acceleration of g = 9.8m/s Compressibility chart can be found in the slides, available on Canvas