For practical applications of ultrafiltration (UF), an estimation of m
embrane fluxes under various operational conditions is very important.
This study analyzed concentration polarization (CP) as a coupled tran
sport problem with concentration-dependent solute viscosity. Besides t
he effects of variable viscosity, the model includes the effects of so
lute osmotic pressure, solute rejection at the membrane surface, and t
he axial pressure drop. This provides a fundamental understanding of t
he effects of various operating parameters on concentration polarizati
on and transmembrane flux. A finite-difference solution of the transpo
rt equations is presented to model the concentration polarization in a
thin-channel UF system. Simulation results for ultrafiltration of Dex
tran T-70 show that concentration-dependent solute viscosity adversely
affects the transmembrane flux and needs to be carefully considered i
n modeling concentration polarization in membrane filtration.