Abstract
AbstractIn this paper, we simulate the flow of a disperse system, consisting of solid spherical particles and viscous incompressible fluid, in a flat channel at different angles of inclination. The mathematical model written in the one-fluid approximation includes the equation of continuity for mixture, the equation of motion of the mixture, and the balance equation in the form of a convective-diffusion equation for the transfer of the volume concentration of particles. The system of equations of the mathematical model was solved with the control volume method in the OpenFoam software package. It was found that the limiting liquid injection rate into the channel, at which the channel is filled with a solid phase, depends on the angle of inclination according to the harmonic law.KeywordsDisperse systemSingle-fluid approximationSuspension flowSolid particlesFlat inclined channel
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