Why is Pressure Recovery less than 1 for a smooth wall subsonic compressible flow

waseeqsiddiqui · November 25, 2018, 12:27

Wall roughness is set to zero. Then why is total pressure in outlet lower than inlet for a compressible flow?
I have simulated a simple diverging pipe.
What exactly is decreasing the total pressure for a smooth pipe?

LuckyTran · November 25, 2018, 12:34

Do you still have a wall? I.e. no slip?

Smooth is a hydraulic term meaning that the wall roughness is small relative to a specific length scale. A smooth wall does not mean there is no friction (it just means there is no roughness).

There will be a total pressure drop. Even if you had slip walls, you still have a viscous flow (navier-stokes) and there would still be a small drop in total pressure.

waseeqsiddiqui · November 25, 2018, 12:35

yes i have no slip

waseeqsiddiqui · November 25, 2018, 12:36

so how would there be a small drop due to viscous flow in a no slip condition?

LuckyTran · November 26, 2018, 13:05

The fluid has a velocity going into the diffuser. At walls, because of the no-slip condition (for both smooth and rough walls) the fluid adopts the velocity of the wall (presumably 0 m/s). Hence the fluid loses some momentum and this manifests as a total pressure drop.

Even if you have slip walls where there is no frictional force induced by the walls. The area is diverging and because of this you have velocity gradients which gives rise to viscous forces. In a newtonian fluid, wherever you have velocity gradients, you have viscous forces.

waseeqsiddiqui · November 26, 2018, 13:06

Many thanks !

November 25, 2018, 12:27	Why is Pressure Recovery less than 1 for a smooth wall subsonic compressible flow	#1
waseeqsiddiqui Member MWRS Join Date: Apr 2018 Location: Islamabad Posts: 99 Rep Power: 8	Wall roughness is set to zero. Then why is total pressure in outlet lower than inlet for a compressible flow? I have simulated a simple diverging pipe. What exactly is decreasing the total pressure for a smooth pipe?

November 25, 2018, 12:34		#2
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,761 Rep Power: 66	Do you still have a wall? I.e. no slip? Smooth is a hydraulic term meaning that the wall roughness is small relative to a specific length scale. A smooth wall does not mean there is no friction (it just means there is no roughness). There will be a total pressure drop. Even if you had slip walls, you still have a viscous flow (navier-stokes) and there would still be a small drop in total pressure. waseeqsiddiqui likes this.

November 26, 2018, 13:05		#5
LuckyTran Senior Member Lucky Join Date: Apr 2011 Location: Orlando, FL USA Posts: 5,761 Rep Power: 66	The fluid has a velocity going into the diffuser. At walls, because of the no-slip condition (for both smooth and rough walls) the fluid adopts the velocity of the wall (presumably 0 m/s). Hence the fluid loses some momentum and this manifests as a total pressure drop. Even if you have slip walls where there is no frictional force induced by the walls. The area is diverging and because of this you have velocity gradients which gives rise to viscous forces. In a newtonian fluid, wherever you have velocity gradients, you have viscous forces. waseeqsiddiqui likes this.

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November 25, 2018, 12:35		#3
waseeqsiddiqui Member MWRS Join Date: Apr 2018 Location: Islamabad Posts: 99 Rep Power: 8	yes i have no slip

November 25, 2018, 12:36		#4
waseeqsiddiqui Member MWRS Join Date: Apr 2018 Location: Islamabad Posts: 99 Rep Power: 8	so how would there be a small drop due to viscous flow in a no slip condition?

November 26, 2018, 13:06		#6
waseeqsiddiqui Member MWRS Join Date: Apr 2018 Location: Islamabad Posts: 99 Rep Power: 8	Many thanks !