Particle deposition onto a permeable surface in laminar flow

A theoretical investigation of particle deposition onto a permeable surface in a parallel-plate channel is presented in this paper. The convective diffusion equation is rigorously formulated with the inclusion of lateral transport due to permeation drag and inertial lift, and transport due to gravitational, double layer, and van derWaals forces. A numerical procedure for solving the governing equation is also presented. The effects of particle size, permeation velocity, solution ionic strength, cross-flow velocity, and particle density on the initial rate of particle deposition are investigated. Results point out that the local and average particle deposition rates onto a permeable surface are determined by an interplay between several transport and interaction mechanisms, among which permeation drag, electric double layer repulsion, and inertial lift are most important.