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Effective hydrodynamic flow of suspensions in presence of apparent slip at boundaries

Abstract : Creeping flows may be submitted to an apparent slip at boundaries, which modifies their general behavior. Two cases are considered here: (i) a very dilute suspension of independent solid spheres; a nearby rough wall is equivalent to a smooth wall on which a slip boundary condition applies; (ii) a suspension of solid spheres moving along a smooth wall, for which an apparent slip on the wall arises from the non zero volume fraction and depends much on the distribution of the suspension. Case (i) is linear since the slip may be obtained from the solution of Stokes equations. In case (ii) Stokes equations are solved but the problem is in general non‐linear since the slip boundary condition is obtained in terms of the particle distribution which may depend on the flow field.
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https://hal-normandie-univ.archives-ouvertes.fr/hal-01777574
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Submitted on : Tuesday, April 24, 2018 - 9:07:36 PM
Last modification on : Saturday, September 26, 2020 - 11:44:07 PM

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François Feuillebois, N. Lecoq, L. Pasol. Effective hydrodynamic flow of suspensions in presence of apparent slip at boundaries. AIP Conference Proceedings, American Institute of Physics, 2007, 946 (1), pp.23-34. ⟨10.1063/1.2806036⟩. ⟨hal-01777574⟩

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