Simulation and Calculation of Time-dependent Filtration of a Suspension in Dead-end and Open Channels with Regard to Dispersed Particles Diffusion and Deposit Formation

Abstract

The model of filtration of a suspension in a channel is constructed within the framework of the diffusive approximation with regard to disperse component diffusion and deposit formation. The system of equations is reduced to the convective diffusion equation in integro-differential form. The equation obtained is integrated numerically. The constitutive parameters of the problem considered are established. Certain calculation results which illustrate the effect of the diffusive particle fluxes and the constitutive parameters on suspension dynamics in the channel are discussed. The behavior of mean filtrate flow as a function of time is analyzed for various values of the constitutive parameters.