
Consider an oblique shock wave with a wave angle of

The pressure.
The temperature.
The Mach number.
The total pressure.
The total temperature behind the wave.
The entropy increase.
Answer to Problem 9.2P
The pressure is
The temperature is
The Mach number is
The total pressure is
The total temperature behind the wave is
The entropy increase is
Explanation of Solution
Given:
The upstream temperature is
The upstream pressure is
The wave angle of the shock wave is
The Mach number is
Formula Used:
The expression for the normal component of upstream Mach number is given as,
Here,
The expression for total upstream pressure is given as,
Here,
The expression for the upstream temperature is given as,
The expression for the downstream static pressure is given as,
The expression for the downstream static temperature is given as,
The expression for the downstream normal Mach number is given as,
The expression for the entropy increase across oplique shock wave is given as,
Here,
Calculation:
Thenormal component of upstream Mach number can be calculated as,
The total upstream pressure can be calculated as,
The upstream temperature can be calculated as,
The downstream static pressure can be calculated as,
The downstream static temperature can be calculated as,
The downstream normal Mach number can be calculated as,
The deflection angle can be calculated as,
The angle between downstream flow and oblique shock wave can be calculated as,
The total downstream pressure can be calculated as,
The temperature does not change across shock wave and will be,
The expression for the entropy increase across oplique shock wave is given as,
Conclusion:
Therefore, the pressure is
Therefore, the temperature is
Therefore, the Mach number is
Therefore, the total pressure is
Therefore, the total temperature behind the wave is
Therefore, the entropy increase is
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