Abstract
In this paper, a laminar flow of a viscous incompressible fluid with suspended spherical particles in a channel of rectangular cross-section is considered. Physical and mathematical modeling of the investigated process is conducted. The physical model is a vertical channel of rectangular cross-section into which fluid with solid particles is injected. The mathematical model is written in the diffusion approximation and includes the Navier-Stokes system of equations, the continuity equation and the diffusion equation which written, taking into account the effect of gravitational forces on particles.
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