Abstract

The Happel—Brenner cell model is employed to calculate the hydrodynamic permeability of membranes composed of impenetrable spherical particles coated with nonuniform porous layers. All of the boundary conditions corresponding to the Happel, Kuwabara, Kvashnin, and Cunningham models are considered at the cell surface. Liquid flows in the porous layers are described by the Brinkman equation. The force applied to a composite particle flowed around by a uniform stream is calculated.

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