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

Adv Colloid Interface Sci. 2008 Jun 22;139(1-2):83-96. doi: 10.1016/j.cis.2008.01.005. Epub 2008 Jan 26.

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.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Membranes, Artificial*
  • Models, Chemical*
  • Motion
  • Permeability
  • Porosity

Substances

  • Membranes, Artificial