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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.
@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 },
pages = {1201--1224},
publisher = {EDP-Sciences},
volume = {46},
number = {5},
year = {2012},
doi = {10.1051/m2an/2012001},
mrnumber = {2916378},
zbl = {1267.76020},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012001/}
}
TY - JOUR AU - Gérard-Varet, David AU - Hillairet, Matthieu TI - Computation of the drag force on a sphere close to a wall JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2012 SP - 1201 EP - 1224 VL - 46 IS - 5 PB - EDP-Sciences UR - http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012001/ DO - 10.1051/m2an/2012001 LA - en ID - M2AN_2012__46_5_1201_0 ER -
%0 Journal Article %A Gérard-Varet, David %A Hillairet, Matthieu %T Computation of the drag force on a sphere close to a wall %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2012 %P 1201-1224 %V 46 %N 5 %I EDP-Sciences %U http://geodesic.mathdoc.fr/articles/10.1051/m2an/2012001/ %R 10.1051/m2an/2012001 %G en %F 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 , Tome 46 (2012) no. 5, pp. 1201-1224. doi: 10.1051/m2an/2012001
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