Volume 46, Number 5, September-October 2012
|Page(s)||1201 - 1224|
|Published online||15 March 2012|
Computation of the drag force on a sphere close to a wall
The roughness issue
Institut de Mathématiques de Jussieu, 175 rue du Chevaleret, 75013
2 Ceremade, Place du Maréchal de Lattre de Tassigny, 75775 Paris Cedex 16, France
Revised: 14 October 2011
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 to derive the corresponding asymptotics of the drag force in the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.
Mathematics Subject Classification: 35Q35 / 35Q30 / 74F10
Key words: Fluid mechanics / Stokes equations / drag / roughness / homogenization / Navier boundary condition
© EDP Sciences, SMAI, 2012
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