title: Hydrodynamic permeability of membranes built up by particles covered by porous shells: cell models.
abstract: 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.
authors.affiliation: Department of Pure and Applied Mathematics, Moscow State University of Food Production, Volocolamskoye shosse 11, Moscow, 125080, Russia. vasin@mgupp.ru
authors.forename: S I
authors.initials: SI
authors.lastname: Vasin
authors.forename: A N
authors.initials: AN
authors.lastname: Filippov
authors.forename: V M
authors.initials: VM
authors.lastname: Starov
mesh_terms: D008567:Membranes, Artificial; D008956:Models, Chemical; D009038:Motion; D010539:Permeability; D016062:Porosity
chemical_list: D008567:Membranes, Artificial