Calculation of an effective slip in a settling suspension at a vertical wall

J. Blawzdziewicz, F. Feuillebois

Research output: Contribution to journalArticlepeer-review

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Abstract

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.

Original languageEnglish
Pages (from-to)66-77
Number of pages12
JournalFluid Mechanics Research
Volume22
Issue number1
DOIs
StatePublished - 1995

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