f Fadaei
v Hoshyargar
s Shirazian
s.n Ashrafizadeh - Research Lab for Advanced Separation Processes, Department of Chemical Engineering,Iran University of Science and Technology, Narmak, Tehran ۱۶۸۴۶-۱۳۱۱۴, Iran

The present work deals with the development of a mathematical model for predicting the transfer mechanism of ions through nanoporous medium. The model considers concentration polarization phenomenon to study its influence on ion separation. The developed model is a combination oftwo transport models: the first one is based on the extended Nernst–Planck equation while thesecond is based on convection-diffusion as well as Navier-Stokes equations. The model equationswere solved numerically utilizing CFD techniques for solving quite stiff equation in two subdomains including feed and membrane. The modeling findings rigorously predict local variation of ionic concentrations, flux and individual ion rejections along a rectangular cross flowmembrane module. The simulation results revealed that the model is more accurate than previous model for prediction of ion separation performance.

Nanofiltration, CFD, Simulation, Mass transfer, Modeling