DIFFUSION AND CONVECTION ACROSS HETEROPOROUS MEMBRANES - A SIMPLE MACROSCOPIC EQUATION
DIFFUSION AND CONVECTION ACROSS HETEROPOROUS MEMBRANES - A SIMPLE MACROSCOPIC EQUATION
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DOI：
10.1016/0026-2862(83)90079-1
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发表时间：
1983-01-01
影响因子：
3.1
通讯作者：
DIANA, JN
中科院分区：
文献类型：
--
作者：
GROOME, LJ;KINASEWITZ, GT;DIANA, JN
这里的问题，确定一组宏观参数，其中描述了运输的中性溶质穿过异质多孔膜的对流和扩散被认为是。根据膜边界条件和宏观参数Lp（水力传导率）、σ s（反射系数）、Ps（渗透率）和qs（指数参数），开发溶质通量的近似方程。该模型的独特特征在于，4个宏观参数仅根据一组单孔参数（{Lpi，. sigma.si，Psi}和孔径分布来表示，对于改变体积（Jv）和溶质（Js）通量的条件不变，并且与Jv和Js的同时测量一致。Js的4-参数方程被证明是在很好的协议与精确解的极端情况下的膜组成的2个不同的组的孔的半径有很大的不同。
Here the problem of identifying a set of macroscopic parameters which describe the transport of a neutral solute across a heteroporous membrane by convection and diffusion is considered. An approximate equation for the solute flux is developed in terms of the membrane boundary conditions and the macroscopic parameters Lp (hydraulic conductivity), .sigma.s (reflection coefficient); Ps (permeability) and qs (index parameter). The unique feature of this model is that the 4 macroscopic parameters are expressed in terms of the set of single-pore parameters ({Lpi, .sigma.si, Psi} and the pore-size distribution only, invariant to conditions which alter the volume (Jv) and solute (Js) fluxes, and consistent with simultaneous measurements of Jv and Js. The 4-parameter equation for Js is shown to be in good agreement with the exact solution for the extreme case of a membrane composed of 2 distinct sets of pores which differ greatly in radii.