Particle adhesion in model systems. Part 13.—Theory of multilayer deposition

Coupled Influence of Colloidal and Hydrodynamic Interactions on the RSA Dynamic Blocking Function for Particle Deposition onto Packed Spherical Collectors

“…When a colloidal dispersion is continuously injected into a granular porous matrix, the colloid deposition rate is susceptible to temporal variations depending on the nature of the particleparticle and particle-collector interactions (3,6,(10)(11)(12)(13)(14)(15)(16). For a stable suspension of mutually repulsive colloidal particles, the colloid deposition rate generally decreases as the collector surfaces are increasingly covered by the deposited particles, a phenomenon known as blocking (6,9,10,13).…”

Dynamics of nonequilibrium deposition

“…Secondly, few-layer deposition processes have been of interest in some experimental systems. Mean-field theories of multilayer deposition with particle size and interactions accounted for were formulated [76] and used to fit such data [12,[14][15][16].…”

Filtration solutions for variable inputs

“…As discussed in the latter paper and by Rajagopalan and Chu 181, it is possible to reinterpret such models to describe the reduction in attachment rate associated with the covering of filter grain surfaces. Privman et al [9] dealt with this phenomenon explicitly. Song and Elimelech [lo] extended this work by introducing an internal variable which describes the time evolution of the surface covering.…”

“…Equation (3a) does not allow for this or for the detachment phenomenon. It is the idealized pure attachment model proposed by Iwasaki [3] and extended to account for grain covering by Privman et al [9].…”