Hydrodynamic permeability of membranes built up by particles covered by porous shells: Cell models

A review is presented on an application of a cell method for investigations of hydrodynamic permeability of porous/dispersed media. and membranes. Based on the cell method, a hydrodynamic permeability is calculated of a porous layer/membrane built up by solid particles with a porous shell and non-porous impermeable interior. Four known boundary conditions on the outer cell boundary are considered and compared: Happel's, Kuvabara's, Kvashnin's and Cunningham's (usually referred to as Mehta-Morse's condition). For description of a flow inside the porous shell Brinkman's equations are used. A flow around an isolated spherical particle with a porous shell is considered and a number of limiting cases are shown. These are compared with the corresponding results obtained earlier. (C) 2008 Elsevier B.V. All rights reserved.