Stokes–Brinkman flow and diffusional deposition of nanoparticles onto a layer of porous and composite granules

Abstract

A numerical simulation of a three-dimensional Stokes–Brinkman flow in the model filtering membranes, the role of which is played by a monolayer of the contiguous porous permeable homogeneous spherical granules and a monolayer of the granules coated with porous permeable shells, has been performed. Approximation formulas for calculating the resistance forces of the permeable granules to the flow in a layer with square and hexagonal packing have been obtained. The applicability limits of the solutions obtained within the cell model for the evaluating the resistance and permeability of a layer of porous granules have been shown. The diffusional deposition of point particles from the flow in the monolayer of porous granules with a square structure has been studied. The nanoparticle collection efficiencies by granules in a broad range of Péclet diffusion numbers depending on the permeability of granules are calculated.