A find the maximum mass flow rate and exit pressure under

Question

A perfect gas at a stagnation pressure of 800 kPa and a stagnation temperature of 600 K flows isentropically in a supersonic C-D nozzle which feeds an adiabatic frictional constant-area duct. The throat area is 1 cm2,  duct area is 3 cm2, and the duct length is 0.4m. Assuming f = 0.004.

a. Find the maximum mass flow rate, and exit pressure under design conditions.

b. What is the exit pressure for a normal shock wave to appear at the inlet of the duct.

c. What is the exit pressure for a normal shock wave to appear at the middle of the duct.

d. What is the exit pressure for a normal shock wave to appear at the exit of the duct.

e. If the exit pressure is 220 kPa, find the location of the shock wave (distance from duct inlet)

solve the problem for Air (R = 287 J/kg K; y = 1.4) and for Helium (R = 2076 J/kg K; y = 1.667).

Answer 1

For the following questions regarding mechanics, please make use of the basics of mechanics and try to solve each part in a precise manner. Question: A perfect gas at a stagnation pressure of 800 kPa and a stagnation temperature of around 600 K flows isentropically in a supersonic C-D nozzle that feeds an adiabatic frictional constant-area duct. The throat area is 1 cm2, duct area is 3 cm2 and the duct length is 0.4m. Supposing f = 0.004. 1) Determine the maximum mass flow rate and exit pressure in design conditions. 2) Determine the exit pressure for a normal shock wave to appear at inlet of the duct. 3) Determine the exit pressure for a normal shock wave to appear at middle of the duct. 4) Determine the exit pressure for a normal shock wave to appear at the exit of duct. 5) If the exit pressure is 220 kPa, determine the location of shock wave (distance from the duct inlet).