the air in a long compressor tank at a pressure of 50 atm is pumped into a pipe

Question

the air in a long compressor tank at a pressure of 50 atm is pumped into a pipe of 4 cm in diameter at the same level.

A.) If the entrance velocity into the pipe is 12.5 m/s, what is the rate of flow of the material (air) 'Rm'? What is the velocity 'Vf' when the air is ejected into the surroundings at 1 atm through a nozzle with a diameter = .562cm.

B.) What would change if this nozzle were used in a submerged ship at a depth of 200m in the water? What is then the velocity 'Vf" at which the air is ejected into the ship.

Thank you in advance.

Explanation / Answer

=0.0157m3/sec

Now, volumetric flow of air at exit=Vi(Pi/Pf)=0.0157*50/1=0.7854 m3/sec

Velocity at exit= Volumetric flow rate/area=0.7854/? (0.562/2)2

Vexit=31661 m/s

Total pressure=19.74+1=20.74atm

Volumetric flow rate=0.0157*50/20.74=0.0379 m3/sec

Velocity=0.0379/?(0.562/2 *10-2)2

=1525.9m/s

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