Abstract

A mathematical model, based on the Stefan-Maxwell equations, is used to describe transport in reverse osmosis membranes. The model predicts the salt and solvent fluxes through an asymmetric RO membrane and the concentration and pressure profiles in the dense rejecting layer. For a NaCℓ-water-membrane system, the model contains two equilibrium parameters and three transport parameters. The equilibrium salt and water uptake parameters were determined from experiments using fully dense cellulose acetate membranes. The transport parameters were found by matching experimental RO flux data, using an asymmetric membrane, with the theoretical transport model. Experiments were performed at external NaCℓ concentrations ranging from 0.01 to 0.1 M and the concentration dependence of the resulting parameters was determined.

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