(a) Pressurized air flows steadily out of a large container through a convergent-divergent nozzie with throat...

 

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(a) Pressurized air flows steadily out of a large container through a convergent-divergent nozzie with throat diameter 3cm. If the pressure in the container is maintained at 500 kPa and the pressure outside is maintained at 100 kPa, then determine whether there is supersonic flow at any point in the nozzle. (3 marks) (b) H the mass flow rate through the nozzle is (1.8 kgs-, then determine the temperature the gas is stored at in the pressurized container. (8 marks) (c) in this case the pressure at the nozzle outlet is known to exceed the design pressure for the noz- zle. Sketch a typical convergent-divergent nozzle and the corresponding evolution of the gas pres- sure against distance along the nozzle. You should illustrate the key features of the flow. [5 marks) (d) A second converging-diverging nozzle with an exit diameter of 5 cm connects a pressurized con- tainer in which air is stored at 140 kPa and 290 K. Determine the mass flux through this second nozzle if the pressure at the exit is 100 kPa. You may assume the flow remains subsonic through- (6 marks) out. (a) Pressurized air flows steadily out of a large container through a convergent-divergent nozzie with throat diameter 3cm. If the pressure in the container is maintained at 500 kPa and the pressure outside is maintained at 100 kPa, then determine whether there is supersonic flow at any point in the nozzle. (3 marks) (b) H the mass flow rate through the nozzle is (1.8 kgs-, then determine the temperature the gas is stored at in the pressurized container. (8 marks) (c) in this case the pressure at the nozzle outlet is known to exceed the design pressure for the noz- zle. Sketch a typical convergent-divergent nozzle and the corresponding evolution of the gas pres- sure against distance along the nozzle. You should illustrate the key features of the flow. [5 marks) (d) A second converging-diverging nozzle with an exit diameter of 5 cm connects a pressurized con- tainer in which air is stored at 140 kPa and 290 K. Determine the mass flux through this second nozzle if the pressure at the exit is 100 kPa. You may assume the flow remains subsonic through- (6 marks) out.