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Slip velocity over a perforated or patchy surface

Published online by Cambridge University Press:  15 January 2010

C. POZRIKIDIS*
Affiliation:
Department of Chemical Engineering, University of Massachusetts, 686 North Pleasant Street, Amherst, MA 01003, USA
*
Email address for correspondence: cpozrikidis@ecs.umass.edu

Abstract

Shear flow over a solid surface containing perforations or patches of zero shear stress is discussed with a view to evaluating the slip velocity. In both cases, the functional dependence of the slip velocity on the solid fraction of the surface strongly depends on the surface geometry, and a universal law cannot be established. Numerical results for flow over a plate with circular or square perforations or patches of zero shear stress, and flow over a plate consisting of separated square or circular tiles corroborate the assertion.

Type
Papers
Copyright
Copyright © Cambridge University Press 2010

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