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

David Gérard-Varet; Matthieu Hillairet

ESAIM: Mathematical Modelling and Numerical Analysis (2012)

  • Volume: 46, Issue: 5, page 1201-1224
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Gérard-Varet, David, and Hillairet, Matthieu. "Computation of the drag force on a sphere close to a wall." ESAIM: Mathematical Modelling and Numerical Analysis 46.5 (2012): 1201-1224. <http://eudml.org/doc/277845>.

@article{Gérard2012,
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 the close-contact limit. In this way, we recover and clarify the various expressions that can be found in previous studies.},
author = {Gérard-Varet, David, Hillairet, Matthieu},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Fluid mechanics; Stokes equations; drag; roughness; homogenization; Navier boundary condition; fluid mechanics},
language = {eng},
month = {3},
number = {5},
pages = {1201-1224},
publisher = {EDP Sciences},
title = {Computation of the drag force on a sphere close to a wall},
url = {http://eudml.org/doc/277845},
volume = {46},
year = {2012},
}

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
DA - 2012/3//
PB - EDP Sciences
VL - 46
IS - 5
SP - 1201
EP - 1224
AB - 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.
LA - eng
KW - Fluid mechanics; Stokes equations; drag; roughness; homogenization; Navier boundary condition; fluid mechanics
UR - http://eudml.org/doc/277845
ER -

References

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