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Pressure-driven flow in a two-dimensional channel with porous walls

Published online by Cambridge University Press:  17 July 2009

QUAN ZHANG  and
ANDREA PROSPERETTI
QUAN ZHANG
Affiliation:
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA
ANDREA PROSPERETTI*
Affiliation:
Department of Mechanical Engineering, Johns Hopkins University, Baltimore, MD 21218, USA Faculty of Science & Technology and Burgerscentrum, University of Twente, AE 7500 Enschede, The Netherlands
*
†Email address for correspondence: [email protected]
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Abstract

The finite-Reynolds-number two-dimensional flow in a channel bounded by a porous medium is studied numerically. The medium is modelled by aligned cylinders in a square or staggered arrangement. Detailed results on the flow structure and slip coefficient are reported. The hydrodynamic force and couple acting on the cylinder layer bounding the porous medium are also evaluated as a function of the Reynolds number. In particular, it is shown that, at finite Reynolds numbers, a lift force acts on the bodies, which may be significant for the mobilization of bottom sediments.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 631 , 25 July 2009 , pp. 1 - 21
Copyright
Copyright © Cambridge University Press 2009

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