CALCULATION OF PARTICLE DEPOSITION RATE UNDER UNFAVORABLE PARTICLE SURFACE INTERACTIONS

When repulsive colloidal interactions are involved, calculating the ra te of particle deposition becomes particularly difficult. To overcome the difficulty, a new (constant migration flux) boundary condition and a sophisticated numerical procedure are introduced. With these proced ures, smooth solutions of the equation are obtained for the entire dom ain, including the region beyond the energy barrier adjacent to the co llector surface. Numerical calculations demonstrate that the dependenc e of particle deposition rate on flow velocity is quite different from that reported previously. The difficulty of using the 'perfect-sink' boundary condition in numerical solutions and the inadequacy of previo us numerical methods are discussed.