Solved: Air enters a nozzle at 0.5 MPa, 420 K, and a

Chapter 17, Problem 1766

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QUESTION:

Air enters a nozzle at 0.5 MPa, 420 K, and a velocity of 110 m/s. Approximating the flow as isentropic, determine the pressure and temperature of air at a location where the air velocity equals the speed of sound. What is the ratio of the area at this location to the entrance area?

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QUESTION:

Air enters a nozzle at 0.5 MPa, 420 K, and a velocity of 110 m/s. Approximating the flow as isentropic, determine the pressure and temperature of air at a location where the air velocity equals the speed of sound. What is the ratio of the area at this location to the entrance area?

ANSWER:

Step 1 of 5

Air enters a nozzle at specified temperature, pressure, and velocity. The exit pressure, exit temperature, and exit-toinlet area ratio are to be determined for a Mach number of  at the exit.

Assumptions are

1. Air is an ideal gas with constant specific heats at room temperature.

2. Flow through the nozzle is steady, one-dimensional, and isentropic.

The properties of air are  and .

 

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