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The Stokes equations with Fourier boundary conditions on a wall with asperities

✍ Scribed by Youcef Amirat; Blanca Climent; Enrique Fernández-Cara; Jacques Simon

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
180 KB
Volume
24
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We study the effect of the rugosity of a wall on the solution of the Stokes system complemented with Fourier boundary conditions. We consider the case of small periodic asperities of size ε. We prove that the velocity field, pressure and drag, respectively, converge to the velocity field, pressure and drag of a homogenized Stokes problem, where a different friction coefficient appears. This shows that, contrarily to the case of Dirichlet boundary conditions, rugosity is dominant here. Copyright © 2001 John Wiley & Sons, Ltd.

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