Mass transfer in the membrane concentration polarization layer under turbulent cross flow

In its first part, this work contains: (a) a critical review on the mass transfer correlations under turbulent duct flow, as they appeared in the literature ( 1934-1984); (b) a discussion on the factors influencing mass transfer during membrane operations (reverse osmosis and ultrafiltration), like porosity and roughness of the membrane wall and change of viscosity and diffusion coefficient due to the strong concentration gradient; (c) a proposal for a modified mass transfer equation, including the term (Sc/Scw)0.11 where Scw is the Schmidt wall number with Dw, and vw both functions of the concentration at the membrane wall (Cw), as well as a correlation factor accounting for the effect of roughness and permeate flux. The second part of this paper will contain an application of the modified Sh equation in the characterization of UF membranes.

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