Hydrodynamic permeability of a membrane composed of a set of porous cylindrical or spherical particles with impenetrable core is investigated. The cell method proposed by Happel and Brenner is used in the calculations. The flow of liquid in the porous medium is described by the Brinkman equations. All the known boundary conditions on the cell surface, such as the Happel, Kuwabara, Kvashnin, and Cunningham - Mehta-Morse models, are considered. The related boundary value problems of flow are solved analytically. The probable jump of shear stresses at the interface between a liquid and a porous body and its impact on the hydrodynamic permeability and flow picture are analyzed in detail.
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