Mathematical Modeling of Turbulent Transport of Particles in the Boundary Layer of a Tubular Membrane Element

Abstract

The paper deals with the problem of adapting the theory of turbulent transport of microparticles from the flow core to the surface of a tubular membrane during the separation of dispersed systems by ultrafiltration. The sizes of microparticles that are the most susceptible to transport have been determined. Mathematical models are proposed for determining the coefficient and intensity of turbulent deposition. Experimental data have been obtained that confirm the presence of particles, the sizes of which are most susceptible to deposition on the walls from the flow core by the example of ultrafiltration of spent engine oils.