Abstract
The question of mathematical modeling of the flows of a suspension of solid particles without assumptions about low concentrations is considered. The difference between the velocities of the particles and the binding liquid is taken into account by applying the two-continuum approach, in which the particles and the liquid are treated as two different viscous liquids. The role of buoyancy forces and gravitational mobility on particle settling is investigated. A qualitative comparison is made with the theory of Kinch concentration waves for the case of one-dimensional vertical flows. The role of vortices on the transverse migration of particles during sedimentation in a two-dimensional vessel is noted.
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