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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Imprimer: 2152-5102
ISSN En ligne: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v22.i1.50
pages 66-77

Calculation of an Effective Slip in a Settling Suspension at a Vertical Wall

J. Blawzdziewicz
PMMH, ESPCI, 10 rue Vauquelin, 75231 Paris cedex 05, France
Francois Feuillebois
LIMSI-CNRS, BP 133, F-91403 Orsay Cedex, France

RÉSUMÉ

Geigenmuller and Mazur (1988) demonstrated theoretically that an intrinsic convection develops in a homogeneous suspension settling in a cylindrical container with vertical walls. In large containers, the influence of the walls on the macroscopic suspension motion is described by the effective wall slip velocity. It is shown that the slip velocity in a dilute suspension of spherical particles can be expressed in terms of the induced force monopole and stresslet on a particle sedimenting in the presence of a vertical plane wall. The slip velocity calculated for a dilute hard-sphere suspension is 4.395φυst, where φ is the particle volume fraction and υst is the Stokes settling velocity.


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