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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).
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what is the pressure drop across the pipe? what is the shear stress exerted on the pipe boundary? what is the shear velocity? what is the darcy friction factor?
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