Simulation of Solute Diffusion through Porous Media

Abstract Simulation of solute diffusion through porous media (membrane) was carried out by a random walk procedure. The porous media used were three kinds of two-dimensional square networks of channels with almost the same average pore diameters and porosities, but with different pore size distributions. In the simulation the partition equilibrium of solute between the bulk feed phase and the membrane phase was established, and the apparent permeability in the steady state was evaluated. First, only the steric interaction between the solute and the pore wall was considered. In spite of the similar average pore diameters and porosities of the networks, the apparent permeability and selectivity were dependent on the kinds of networks. The network with more small pores showed the smaller permeability and the higher selectivity. When the diameter of solute which can be actually transported is fairly smaller than the average pore diameter, the network with broad pore distribution and with more small pores is f...

[1]  John L. Anderson,et al.  Hindered diffusion of particles through small pores , 1978 .

[2]  Muhammad Sahimi,et al.  Computer simulation of particle transport processes in flow through porous media , 1991 .

[3]  Frank G. Smith,et al.  Electrostatic effects on the partitioning of spherical colloids between dilute bulk solution and cylindrical pores , 1983 .

[4]  Nikolaos A. Peppas,et al.  Mesh size and diffusive characteristics of semicrystalline poly(vinyl alcohol) membranes prepared by freezing/thawing techniques , 1995 .

[5]  W. Deen Hindered transport of large molecules in liquid‐filled pores , 1987 .

[6]  W. Deen,et al.  Hindered diffusion of synthetic polyelectrolytes in charged microporous membranes , 1982 .

[7]  Sahimi,et al.  Diffusion of large molecules in porous media. , 1989, Physical review letters.

[8]  L. Zeman,et al.  Characterization of microfiltration membranes by image analysis of electron micrographs. , 1992 .

[9]  N. Peppas,et al.  Solute diffusion in swollen membranes. Part II. Influence of crosslinking on diffusive properties , 1984 .

[10]  R. A. Macdonald Modelling macromolecular diffusion through a porous medium , 1992 .

[11]  Howard Brenner,et al.  The motion of a closely-fitting sphere in a fluid-filled tube , 1973 .

[12]  T. Matsuura,et al.  Interfacial forces, average pore size, and pore size distribution of ultrafiltration membranes , 1982 .

[13]  Muhammad Sahimi,et al.  Dispersion in flow through porous media—I. One-phase flow , 1986 .

[14]  M. Sahimi Transport of macromolecules in porous media , 1992 .

[15]  C. A. Smolders,et al.  Permporometry: the determination of the size distribution of active pores in UF membranes , 1992 .

[16]  Sahimi,et al.  Hydrodynamics of particulate motion in porous media. , 1991, Physical review letters.

[17]  Computer model of a porous medium , 1988 .

[18]  D. Lemordant,et al.  Using micelles to determine the pore size of UF membranes , 1992 .

[19]  Sahimi,et al.  Transport of large particles in flow through porous media. , 1987, Physical review. A, General physics.