The wave angle, Mach number and temperature after shock.
Answer to Problem 72EP
The wave angle, Mach number and temperature after shock are
Explanation of Solution
Given:
Air pressure, air temperature and Mach number are
Concept used:
Relation of wave angle is expressed as follows:
Here, wave angle is
Relation of upstream normal Mach number is expressed as follows:
Here, wave weak angle is
Relation of downstream normal Mach number is expressed as follows:
Here, upstream normal Mach number is
Relation of the downstream Mach number is expressed as follows:
Here, wave weak angle is
Relation of downstream pressure is expressed as follows:
Here, downstream pressure is
Relation of downstream Temperature is expressed as follows:
Here, downstream pressure is
Calculation:
Substitute
Solve the above equation by iteration. We get two value of wave angle as
Substitute
Substitute
Substitute
Substitute
Substitute
Thus, the wave angle, Mach number and temperature after shock are
Conclusion:
The wave angle, Mach number and temperature after shock are
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Chapter 12 Solutions
Fluid Mechanics: Fundamentals and Applications
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