Air flows through a device such that the stagnation pressure is 0.4 mpa, the stagnation temperature is 400°c, and the velocity is 528 m/s. determine the static pressure and temperature of the air at this state. the properties of air at an anticipated average temperature of 600 k are cp = 1.051 kj/kg·k and k = 1.376.

To solve this problem it is necessary to apply the concepts related to temperature stagnation and adiabatic pressure in a system.

The stagnation temperature can be defined as

Where

T = Static temperature

V = Velocity of Fluid

Specific Heat

Re-arrange to find the static temperature we have that

Now the pressure of helium by using the Adiabatic pressure temperature is

Where,

= Stagnation pressure of the fluid

k = Specific heat ratio

Replacing we have that

Therefore the static temperature of air at given conditions is 72.88K and the static pressure is 0.399Mpa

Note: I took the exactly temperature of 400 ° C the equivalent of 673.15K. The approach given in the 600K statement could be inaccurate.

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