Computation of the drag force on a sphere close to a wall
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 46 (2012) no. 5, pp. 1201-1224.

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.

DOI : https://doi.org/10.1051/m2an/2012001
Classification : 35Q35,  35Q30,  74F10
Mots clés : fluid mechanics, Stokes equations, drag, roughness, homogenization, Navier boundary condition
@article{M2AN_2012__46_5_1201_0,
author = {G\'erard-Varet, David and Hillairet, Matthieu},
title = {Computation of the drag force on a sphere close to a wall},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
pages = {1201--1224},
publisher = {EDP-Sciences},
volume = {46},
number = {5},
year = {2012},
doi = {10.1051/m2an/2012001},
zbl = {1267.76020},
mrnumber = {2916378},
language = {en},
url = {http://www.numdam.org/item/M2AN_2012__46_5_1201_0/}
}
Gérard-Varet, David; Hillairet, Matthieu. Computation of the drag force on a sphere close to a wall. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 46 (2012) no. 5, pp. 1201-1224. doi : 10.1051/m2an/2012001. http://www.numdam.org/item/M2AN_2012__46_5_1201_0/

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