English

Computation of the drag force on a rough sphere close to a wall

Analysis of PDEs 2011-03-09 v1 Classical Physics

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 to derive the corresponding asymptotics of the drag force. In this way, we recover and clarify the various expressions that can be found in the litterature.

Keywords

Cite

@article{arxiv.1103.0864,
  title  = {Computation of the drag force on a rough sphere close to a wall},
  author = {David Gérard-Varet and Matthieu Hillairet},
  journal= {arXiv preprint arXiv:1103.0864},
  year   = {2011}
}