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Analysis of a sedimenting suspension near a vertical wall
1 : Institut de Mathématiques de Jussieu - Paris Rive Gauche
(IMJ-PRG (UMR_7586))
IMJ
Sorbonne Université - IMJ - Case 247 - 4 place Jussieu 75252 Paris cedex 05 / Université Paris Diderot - Bât. Sophie Germain, case 7012 -
France
We consider a sedimenting suspension in a Stokes flow, in the presence of a vertical wall. We study the effect of a particle-depleted fluid layer near the wall on the bulk dynamics of the suspension. We show that this effect can be captured by an appropriate wall law of Navier type. We provide in this way a rigorous justification of the apparent slip observed in many experiments. We also discuss the phenomenon of intrinsic convection predicted in some physics articles.
This is a joint work with David Gérard-Varet.
