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.
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Original Russian Text © V.A. Kirsh, 2017, published in Teoreticheskie Osnovy Khimicheskoi Tekhnologii, 2017, Vol. 51, No. 5, pp. 532–537.
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Kirsh, V.A. Stokes–Brinkman flow and diffusional deposition of nanoparticles onto a layer of porous and composite granules. Theor Found Chem Eng 51, 680–685 (2017). https://doi.org/10.1134/S0040579517050311
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DOI: https://doi.org/10.1134/S0040579517050311