1. A smooth 3-in.-diameter hole is punched into the side of a large chamber where oxygen is stored at 500°R and 150 psia. Assume frictionless flow.
(a) Compute the initial mass flow rate from the chamber if the surrounding pressure is 15.0 psia.
(b) What is the flow rate if the pressure of the surroundings is lowered to zero?
(c) What is the flow rate if the chamber pressure is raised to 300 psia?
2. Nitrogen is stored in a large chamber under conditions of 450 K and 1.5 x 105 N/m2. The gas leaves the chamber through a convergent-only nozzle whose outlet area is 30 cm2. The ambient room pressure is 1 x 105 N/m2 and there are no losses.
(a) What is the velocity of the nitrogen at the nozzle exit?
(b) What is the mass flow rate?
(c) What is the maximum flow rate that could be obtained by lowering the ambient pressure?
3. A converging-only nozzle has an efficiency of 96%. Air enters with negligible velocity at a pressure of 150 psia and a temperature of 750°R. The receiver pressure is 100 psia. What are the actual outlet temperature, Mach number, and velocity?
4. A large chamber contains air at 80 psia and 600°R. The air enters a converging-diverging nozzle which has an area ratio (exit to throat) of 3.0.
(a) What pressure must exist in the receiver for the nozzle to operate at its first critical point?
(b) What should the receiver pressure be for third critical (design point) operation?
(c) If operating at its third critical point, what are the density and velocity of the air at the nozzle exit plane?
5. Air enters a convergent-divergent nozzle at 20 bar abs. and 40°C. At the end of the nozzle the pressure is 2.0 bar abs. Assume a frictionless adiabatic process. The throat area Is 20 cm2.
(a) What is the area at the nozzle exit?
(b) What is the mass flow rate in kg/s?