Boundary integral equations for a three-dimensional Brinkman flow problem

✍ Scribed by Mirela Kohr; Wolfgang L. Wendland

• Publisher: John Wiley and Sons
• Year: 2009
• Tongue: English
• Weight: 306 KB
• Volume: 282
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.200710797

✦ Synopsis

Abstract

The purpose of this paper is to prove existence and uniqueness in Sobolev or Hölder spaces for a transmission problem which describes the flow of a viscous incompressible fluid past a porous particle embedded in a second porous medium, by using the Brinkman model and potential theory. Some particular cases, which refer to Stokes flow past a porous particle, or to Brinkman's flow past a void, are also presented together with corresponding asymptotic results for the flow velocity field and the hydrodynamic force exerted on the particle (© 2009 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)