# 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

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topGérard-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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