Concept explainers
The throat area of nozzle.
The exit areas of nozzle.
That the condition for the nozzle be converging-diverging.
Answer to Problem 136P
The throat area of nozzle is
The exit area of the nozzle is
The mach number at the exit is greater than
Explanation of Solution
Given information:
The nozzle is isentropic, the pressure of helium gas in the nozzle is
Helium is an ideal gas with constant specific heats, flow through the nozzle is steady, one dimensional, isentropic and the specific heat constant is
Write the expression for the critical temperature.
Here, the stagnation temperature is
Write the expression for the critical pressure.
Here, the stagnation pressure is
Write the expression for the critical density.
Here, the critical pressure is
Write the expression for the critical velocity.
Write the expression for throat area.
Here, the mass flow rate is
Write the expression for the mach number at the exit of the nozzle.
Here the exit pressure is
Write the expression for the exit temperature.
Write the expression for the exit density.
Here, the exit pressure is
Write the expression for the exit velocity.
Write the expression for the exit area of the nozzle.
Here, the exit density is
Calculation:
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Substitute
Conclusion:
The throat area of nozzle is
The exit area of the nozzle is
The mach number at the exit is greater than
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Chapter 12 Solutions
Connect 1 Semester Access Card For Fluid Mechanics Fundamentals And Applications
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