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Stokes flow in periodic systems of parallel cylinders with porous permeable shells

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Abstract

The problem solved in this study concerns steady-state flow of a viscous incompressible liquid at low Reynolds numbers in a model filter consisting of parallel cylinders with porous permeable shells. Both a separate row and lattices (square and hexagonal) of cylinders directed perpendicularly to the flow are considered. The flow field outside and inside the porous shell is found from the solutions to the Stokes and Brinkman equations. The drag force and the filtration efficiency are determined both as functions of the ratio between the cylinder diameter and the distance between the axes of adjacent cylinders and as functions of the thickness and permeability of the shells. The cell model is shown to be applicable for describing the flow field in a hexagonal lattice of cylinders with porous shells within a wide range of packing densities.

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Authors and Affiliations

  1. Frumkin Institute of Physical Chemistry and Electrochemistry, Russian Academy of Sciences, Leninskii pr. 31, Moscow, 119991, Russia

    V. A. Kirsh

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  1. V. A. Kirsh
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Original Russian Text © V.A. Kirsh, 2006, published in Kolloidnyi Zhurnal, 2006, Vol. 68, No. 2, pp. 198–206.

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Kirsh, V.A. Stokes flow in periodic systems of parallel cylinders with porous permeable shells. Colloid J 68, 173–181 (2006). https://doi.org/10.1134/S1061933X06020086

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