Amajor problem associatedwith themembrane separation processes is the permeate flux drop, limiting the widespread of industrial\napplication of this process. This occurs due to the accumulation of solute concentration near the membrane surface. An exact\nquantification of the concentration polarization as a function of process conditions is essential to estimate the system performance\nsatisfactorily. In this sense, this work aims to predict the behavior of the concentration polarization boundary layer along the\nlength of a permeable tubularmembrane, over various operation conditions. Thenumerical solution of the Navier-Stokes equation,\ncoupled to Darcy�s and mass transfer equations, is obtained by the commercial software ANSYS CFX 12, considering a twodimensional\ncomputational domain. The study evaluates the effects of axial Reynolds and Schmidt numbers on the concentration\npolarization boundary layer thickness during the cross-flow filtration process. Numerical results have shown that themathematical\nmodel is able to predict the formation and growth of the concentration polarization boundary layer along the length of the tubular\nmembrane.
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