Mathematical Modeling of Microfiltration in a Rectangular Channel

Abstract

In formulating problems concerning physical models of hydrodynamic processes, it is generally impossible objectively to take into account quantitatively most factors because of their wide diversity and variability. Another significant impediment is the absence of a unified and universally accepted theory of mass transfer in micro- and ultrafiltration. Noteworthy is the particular complexity of transmembrane transfer with developed flow instabilities of varying intensity because any (even insignificant) change in the process parameters of micro- and ultrafiltration leads to different conditions of the formation (or destruction) of the surface layer, which inevitably influences boundary conditions. In this work, it was shown that a one-parameter diffusion model can be adapted to the membrane separation process by taking into account the permeability of one of the walls of a rectangular channel under consideration. The flow pattern was studied to determine the behavior of the solute concentration field on the membrane surface and to evaluate the efficiency of measures taken to reduce the concentration polarization in hydrodynamic methods by varying the velocity.