Rotating Couette Flow?

courtjester140 · February 20, 2012, 11:21

Hello,
I'm looking for a flow case similar to Couette flow. I'm wondering if anyone knows anything about it, or if there is a name for it.

Two parallel circular plates, one rotor and one stator. The rotor rotates at a certain RPM. There is a specific gap between the plates. This differs from Couette flow, because the surface speed of the rotor relative to the stator depends on the radial position you're looking at.

Is there a name for this? If not, has anyone looked at or heard of a case like this?

Thanks

Fugacity · February 20, 2012, 11:42

You've just described a rotary viscous coupling, a.k.a. Von Karman viscous pump, aka Von Karman Swirling Flow: http://demonstrations.wolfram.com/St...nSwirlingFlow/

You should be able to find a better description in any graduate-level incompressible flow textbook. I suggest Panton's Incompressible Flow (ISBN 0-471-59358-3) Ch 7.6, 11.11 & 11.12.

courtjester140 · February 20, 2012, 11:59

This is a great start, thank you fugacity!

What I described as a very simple version of the case I'm ultimately looking to work on. I'll describe that case in more detail.

I am looking at that "swirling flow" case, where one plate is on top of the other. However, the plates are actually rings. Therefore, the OD of the rings have a certain condition (pressure, temperature) and the ID of the rings have a certain condition (pressure, temperature). Only one of the rings rotate. The areas I am interested in are the face temperatures of the rotor and stator, as well as a pressure gradient between the faces (ID to OD).

Thanks again!

February 20, 2012, 11:21	Rotating Couette Flow?	#1
courtjester140 New Member Michael Petrarca Join Date: Apr 2009 Posts: 9 Rep Power: 17	Hello, I'm looking for a flow case similar to Couette flow. I'm wondering if anyone knows anything about it, or if there is a name for it. Two parallel circular plates, one rotor and one stator. The rotor rotates at a certain RPM. There is a specific gap between the plates. This differs from Couette flow, because the surface speed of the rotor relative to the stator depends on the radial position you're looking at. Is there a name for this? If not, has anyone looked at or heard of a case like this? Thanks

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February 20, 2012, 11:42		#2
Fugacity New Member Chris Join Date: Jan 2012 Location: St. Louis Posts: 13 Rep Power: 14	You've just described a rotary viscous coupling, a.k.a. Von Karman viscous pump, aka Von Karman Swirling Flow: http://demonstrations.wolfram.com/St...nSwirlingFlow/ You should be able to find a better description in any graduate-level incompressible flow textbook. I suggest Panton's Incompressible Flow (ISBN 0-471-59358-3) Ch 7.6, 11.11 & 11.12.

February 20, 2012, 11:59		#3
courtjester140 New Member Michael Petrarca Join Date: Apr 2009 Posts: 9 Rep Power: 17	This is a great start, thank you fugacity! What I described as a very simple version of the case I'm ultimately looking to work on. I'll describe that case in more detail. I am looking at that "swirling flow" case, where one plate is on top of the other. However, the plates are actually rings. Therefore, the OD of the rings have a certain condition (pressure, temperature) and the ID of the rings have a certain condition (pressure, temperature). Only one of the rings rotate. The areas I am interested in are the face temperatures of the rotor and stator, as well as a pressure gradient between the faces (ID to OD). Thanks again!