Abstract
Abstract The motion of a suspension of spherical particles in shear flow above a rigid plane wall is studied by means of numerical simulation. The hydrodynamic interactions between particles and the wall are computed by the methods of Stokesian dynamics, and include both short-range lubrication effects and long-range many-body interactions. The 30 particles are arranged in a monolayer, with periodic boundary conditions at the boundaries between unit cells. When the shear flow is switched on from rest, the bed of particles dilates. The dilation is much more rapid if short-range interparticle electrical repulsions are included, as lubrication forces otherwise hinder the separation of closely separated spheres. A gravitational force f g can be applied to counteract this dilation (or to modelt the effect of a filtration flux towards the wall). The results for bed height as a function of f g are in qualitative agreement with continuum analyses of viscous resuspension based on shear-induced diffusion.
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