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Computation of the drag force on a sphere close to awall

The roughness issue

Published online by Cambridge University Press:  15 March 2012

David Gérard-Varet  and
Matthieu Hillairet
David Gérard-Varet
Affiliation:
Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013 Paris, France. gerard-varet@math.jussieu.fr
Matthieu Hillairet
Affiliation:
Ceremade, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France; hillairet@ceremade.dauphine.fr
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Abstract

We consider the effect of surface roughness on solid-solid contact in a Stokes flow.Various models for the roughness are considered, and a unified methodology is given toderive the corresponding asymptotics of the drag force in the close-contact limit. In thisway, we recover and clarify the various expressions that can be found in previousstudies.

Keywords

Fluid mechanicsStokes equationsdragroughnesshomogenizationNavier boundary condition
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 46 , Issue 5 , September 2012 , pp. 1201 - 1224
Copyright
© EDP Sciences, SMAI, 2012

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