Pressure, temperature, velocity, Mach number, and stagnation pressure downstream of the shock and comparison of Helium undergoing the same shock.

Answer to Problem 74P
Downstream pressure
Downstream temperature
Downstream velocity
Downstream Mach number
Downstream stagnation pressure
Comparison with helium for the normal shock under same conditions we have
Downstream pressure
Downstream temperature
Downstream velocity
Downstream Mach number
Downstream stagnation pressure
Explanation of Solution
Given:
The upstream the shock is given by, Pressure of air
Temperature of air
Mach number
Calculation:
Downstream Mach number is given by
The properties of air are
Downstream pressure is given by the formula,
Downstream temperature is given by the formula,
Downstream velocity of speed is given by the formula,
Downstream stagnation pressure is given by formula,
Analysis for helium is to be found out,so we need to determine the downstream Mach number by the below formula
The properties of helium are
k = 1.667
Calculate for the downstream pressure for the helium gas given by the formula,
Calculate for the downstream temperature for the helium gas given by the formula,
Downstream velocity of speed is given by the formula,
Downstream stagnation pressure is given by formula,
Conclusion:
Therefore, we can concludeMach number and velocity are greater for helium than for air because of the different values of
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Chapter 12 Solutions
FLUID MECHANICS FUND. (LL)-W/ACCESS
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