no. 5
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.

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 : 10.1051/m2an/2012001
Classification : 35Q35, 35Q30, 74F10
Mots clés : fluid mechanics, Stokes equations, drag, roughness, homogenization, Navier boundary condition 
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     title = {Computation of the drag force on a sphere close to a wall},
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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. http://www.numdam.org/articles/10.1051/m2an/2012001/

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