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.
|Number of pages||12|
|Journal||Fluid Mechanics Research|
|State||Published - 1995|