Numerical modeling of cross-flow ultrafiltration of Bentonite in tubular membrane

F. Lazghad, A. Beicha


A tubular ultrafiltration model which couples concentration polarization and membrane fouling was developed. The model is based on the general convective-diffusion equationin addition to the usual membrane hydraulic resistance. Fouling due to polarization concentration phenomenon during the ultrafiltration of a solid particle of the Bentonite was investigated. The governing equations were solved by using the finite element method to simulate both the wall concentration and the permeate flux. The simulations were performed at different transmembrane pressures (0.8, 1.5 and 2.5 bar), feed concentration of 1 mol/m3 and axial velocity at the inlet section of 0.59 m/s. The results obtained by simulation show that the concentration of Bentonite solid particles on the membrane surface increases rapidly with increasing time, and after a whilethis concentration becomes constant. Also, it decreases with increase in transmembrane pressure (TMP). On the other hand, the permeate flux decreases with increasing time to the stationary state and the increase of TMP causes an increase in the permeate flux.

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