Modeling of Microfiltration with Simultaneous Particle Deposition on the Inner and Outer Surfaces of a Membrane

Abstract

A mathematical model for the microfiltration in a dead-end apparatus has been developed. The simultaneous processes of microparticle deposition on the inner and outer surfaces of a membrane have been considered, and the macrokinetics of filtration has been described by a unified system of nonlinear differential equations. The numerical solutions of the model have been analyzed, and the model has been verified.