PARTICLE DEPOSITION ON IDEAL COLLECTORS FROM DILUTE FLOWING SUSPENSIONS - MATHEMATICAL FORMULATION, NUMERICAL-SOLUTION, AND SIMULATIONS

This paper presents the quantitative formulation of the convective dif fusion equation for particle deposition in ideal deposition systems. C ollectors 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 transpor t equation, proper boundary conditions, and expressions for the partic le deposition rate are formulated. Also presented are numerical proced ures for solving the convective diffusion equation. Simulations for th e effect of various physical and chemical-colloidal variables on the r ate of particle deposition are presented and discussed. The theories p resented apply to particle deposition from dilute suspensions in which interparticle interactions are negligible.