Question

In: Mechanical Engineering

1.      Air enters a converging-diverging nozzle with a total pressure of 1100 kPa and a total temperature...

1.      Air enters a converging-diverging nozzle with a total pressure of 1100 kPa and a total temperature of 127°C.  The exit area to throat area ratio is 1.8.  The throat area is 5 cm2.  The velocity at the throat is sonic and the diverging section acts as a nozzle.  Determine the following:

a.       The mass flow rate

b.      The exit pressure and temperature

c.       The exit Mach number

d.      The exit velocity

2.      The converging-diverging nozzle now has a throat area of 100 mm2 and an exit area of 160 mm2. The inlet flow is helium at a total pressure of 1 MPa and total temperature of 102°C. Determine the back pressure that will give sonic condition at the throat, but subsonic everywhere else.

Solutions

Expert Solution


Related Solutions

Air flows in a converging-diverging nozzle. The nozzle throat area is 50 cm2. The total pressure...
Air flows in a converging-diverging nozzle. The nozzle throat area is 50 cm2. The total pressure at the nozzle inlet is 1 MPa. The total pressure at the nozzle exit is 650 kPa. The Mach number at the nozzle exit is 0.70. Find the nozzle exit area. 51.7 cm2 84.2 cm2 35.6 cm2 54.7 cm2
Consider a converging-diverging nozzle with an exit-to-throat area of 3. The inlet reservoir pressure is 1...
Consider a converging-diverging nozzle with an exit-to-throat area of 3. The inlet reservoir pressure is 1 atm and the exit pressure is 0.5 atm. (a) For this pressure ratio a normal shock will stand somewhere inside the divergent portion of nozzle. Calculate the location of shock (A/At =?). (b) back pressure if the flow were isentropic throughout.
compressible flow: a converging-diverging nozzle has an area ratio of 5 and a stagnation pressure of...
compressible flow: a converging-diverging nozzle has an area ratio of 5 and a stagnation pressure of 1 MPa. Assume that the gas in the nozzle behaves exactly like air. Which of the following most accurately gives the range of nozzle exit pressures for which the flow is choked, but has subsonic flow at the nozzle exit? a)990 kPa ?? 1 MPa b)244 kPa ?? 1 MPa c)21 kPa ?? 1MPa d)1 kPa ?? 1 MPa e)244 kPa ?? 990 kPa...
A converging–diverging nozzle is designed to generate an exit Mach number of 2. The nozzle is...
A converging–diverging nozzle is designed to generate an exit Mach number of 2. The nozzle is supplied with air from a large reservoir in which the pressure is kept at 6.5 MPa. Assuming one-dimensional isentropic flow, find a. The maximum back-pressure at which the nozzle will be choked b. The range of back-pressures over which there will be a shock in the nozzle c. The design back-pressure d. The range of back-pressures over which there is supersonic flow on the...
A converging-diverging nozzle is designed to operate with an exit Mach number of 2. The nozzle...
A converging-diverging nozzle is designed to operate with an exit Mach number of 2. The nozzle is supplied from an air reservoir at 600 kPa and temperature is 300 K. The throat area of the nozzle is 5 cm2 . Determine: (a) The ratio of exit-to-throat area and exit area (b) Given the area ratio in part (a), find the range of back pressure over which the nozzle is choked. What is the critical pressure and design pressure? Also, calculate...
A converging-diverging nozzle is designed to operate with an exit Mach number of 2. The nozzle...
A converging-diverging nozzle is designed to operate with an exit Mach number of 2. The nozzle is supplied from an air reservoir at 600 kPa and temperature is 300 K. The throat area of the nozzle is 5 cm2. Determine: (a) The ratio of exit-to-throat area and exit area. (b) Given the area ratio in part (a), find the range of back pressure over which the nozzle is choked. What is the critical pressure and design pressure? Also, calculate the...
Air flows steadily through a converging-diverging nozzle with a throat area equal to 1.395 in2 ,...
Air flows steadily through a converging-diverging nozzle with a throat area equal to 1.395 in2 , and an exit area equal to 2.79 in2 . A normal shock wave stands at the exit plane of the nozzle. The exiting jet flows into a large room, where the pressure is equal to 14.7 psia. The temperature of the air in the exit jet stream, just after the nozzle exit, is measured at 87 deg F. Calculate the mass flow rate through...
Air enters a nozzle steadily at 280 kPa and 77°C with a velocity of 70 m/s...
Air enters a nozzle steadily at 280 kPa and 77°C with a velocity of 70 m/s and exits at 85 kPa and 320 m/s. The heat losses from the nozzle to the surrounding medium at 20°C are estimated to be 3.2 kJ/kg. The table for the ideal-gas properties of air is given below. Determine the exit temperature. (Round the final answer to one decimal). The exit temperature is ______K Determine the total entropy change for this process. (Round the final...
Air is supplied to a convergent–divergent nozzle from a reservoir where the pressure is 100 kPa....
Air is supplied to a convergent–divergent nozzle from a reservoir where the pressure is 100 kPa. The air is then discharged through a short pipe into another reservoir where the pressure can be varied. The cross-sectional area of the pipe is twice the area of the throat of the nozzle. Friction and heat transfer may be neglected throughout the flow. If the discharge pipe has constant cross-sectional area, determine the range of static pressure in the pipe for which a...
Air enters a constant diameter pipe at a pressure of 200 kPa. At the exit of...
Air enters a constant diameter pipe at a pressure of 200 kPa. At the exit of the pipe the pressure is 120 kPa, the Mach number is 0.75, and the stagnation temperature is 330°C. Determine the inlet Mach number and the heat transfer per unit mass of air.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT