Vasin S I, Filippov A N, Starov V M
Department of Pure and Applied Mathematics, Moscow State University of Food Production, Volocolamskoye shosse 11, Moscow, 125080, Russia.
Adv Colloid Interface Sci. 2008 Jun 22;139(1-2):83-96. doi: 10.1016/j.cis.2008.01.005. Epub 2008 Jan 26.
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.
本文综述了一种用于研究多孔/分散介质及膜的流体动力学渗透率的单元法的应用。基于单元法，计算了由具有多孔壳和无孔不可渗透内部的固体颗粒构成的多孔层/膜的流体动力学渗透率。考虑并比较了在外单元边界上的四种已知边界条件：哈佩尔条件、久保原条件、克瓦申条件和坎宁安条件（通常称为梅塔 - 莫尔斯条件）。对于多孔壳内部流动的描述，使用了布林克曼方程。考虑了围绕具有多孔壳的孤立球形颗粒的流动，并给出了一些极限情况。将这些情况与早期获得的相应结果进行了比较。
