Particle deposition on ideal collectors from dilute flowing suspensions: Mathematical formulation, numerical solution, and simulations

Abstract

This paper presents the quantitative formulation of the convective diffusion equation for particle deposition in ideal deposition systems. Collectors considered include the rotating disk, stagnation-point flow, parallel-plate channel, isolated sphere, and a porous medium composed of uniform spheres. For each collector, the complete particle transport equation, proper boundary conditions, and expressions for the particle deposition rate are formulated. Also presented are numerical procedures for solving the convective diffusion equation. Simulations for the effect of various physical and chemical-colloidal variables on the rate of particle deposition are presented and discussed. The theories presented apply to particle deposition from dilute suspensions in which interparticle interactions are negligible.