Computation of the drag force on a sphere close to a wall
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Volume 46 (2012) no. 5, p. 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
Keywords: 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},
     publisher = {EDP-Sciences},
     volume = {46},
     number = {5},
     year = {2012},
     pages = {1201-1224},
     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, Volume 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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