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(Solved): Consider an oblique shock wave with a deflection angle of 20. The upstream airflow is at Mach 5, ...
Consider an oblique shock wave with a deflection angle of . The upstream airflow is at Mach 5, pressure of and normal velocity component of . This oblique shock wave is followed by a second oblique shock wave with a deflection angle of . The second oblique shock wave is followed by a normal shock. Calculate: a) The static pressure, static temperature, density and Mach number at the downstream of the normal shock b) The total temperature at the downstream of the normal shock c) The total pressure loss in this shock system
Expert Answer
To solve this problem, we'll use the oblique shock wave relations and the normal shock relations Let's start by calculating the properties downstream of the first oblique shock wave.Given data:The deflection angle of the first oblique shock wave Upstream Mach number Upstream pressure The upstream normal velocity component a) Properties downstream of the first oblique shock wave:Calculate the downstream Mach angle : The upstream Mach angle can be calculated using the following formula:t Where y is the specific heat ratio of the gas (assumed to be 1.4 for air)Plugging in the values, we can solve for ??: Calculating this expression gives us