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Pressure-driven radial flow in a Taylor–Couette cell

Published online by Cambridge University Press:  18 August 2010

NILS TILTON ,
DENIS MARTINAND ,
ERIC SERRE  and
RICHARD M. LUEPTOW
NILS TILTON
Affiliation:
Laboratoire M2P2, UMR 6181, Université Aix-Marseille, CNRS, 13451 Marseille, France
DENIS MARTINAND*
Affiliation:
Laboratoire M2P2, UMR 6181, Université Aix-Marseille, CNRS, 13451 Marseille, France
ERIC SERRE
Affiliation:
Laboratoire M2P2, UMR 6181, Université Aix-Marseille, CNRS, 13451 Marseille, France
RICHARD M. LUEPTOW
Affiliation:
Department of Mechanical Engineering, Northwestern University, Evanston, IL 60208USA
*
†Email address for correspondence: [email protected]
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Abstract

A generalized solution for pressure-driven flow through a permeable rotating inner cylinder in an impermeable concentric outer cylinder, a situation used commercially in rotating filtration, is challenging due to the interdependence between the pressure drop in the axial direction and that across the permeable inner cylinder. Most previous approaches required either an imposed radial velocity at the inner cylinder or radial throughflow with both the inner and outer cylinders being permeable. We provide an analytical solution for rotating Couette–Poiseuille flow with Darcy's law at the inner cylinder by using a small parameter related to the permeability of the inner cylinder. The theory works for suction, injection and even combined suction/injection, when the axial pressure drop in the annulus is such that the transmembrane pressure difference reverses sign along the axial extent of the system. Corresponding numerical simulations for finite-length systems match the theory very well.

JFM classification

Materials Processing Flows: Materials Processing Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 660 , 10 October 2010 , pp. 527 - 537
Copyright
Copyright © Cambridge University Press 2010

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References

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