Abstract
The Sano-Nakayama membrane transport model for the analysis of a countercurrent dialyzer system has been extended to describe the concentration polarization phenomena associated with hollow fiber reverse osmosis desalination systems. A set of the governing equations based on VAT, namely, the continuity, momentum and concentration equations for the brine, permeate and membrane has been derived. A series of two-dimensional numerical simulations were performed using the present model. The numerical results are found to agree well with the experimental data reported by Sekino. Furthermore, a graphical presentation is proposed for determining the operating parameters, namely, the feed pressure and pumping power.
