Mathematical modeling of the flow of a multiphase heterogeneous medium in a permeable channel
R. I. Ibyatov, L. P. Kholpanov, F. G. Akhmadiev, I. G. Bekbulatov · Theoretical Foundations of Chemical Engineering · 2007
A mathematical model for calculating the flow of a rheologically complex disperse medium in a curvilinear permeable channel in which the concentration of suspended particles in the flow is variable and a cake is formed on the walls is proposed. The model can describe the filtration of a heterogeneous medium in permeable channels and generally takes into account the hydraulic resistance of the wall. Equations for calculating the variation of the average concentration of the disperse phase and the cake thickness are derived. A numerical computational algorithm is developed. Numerically calculated profiles of velocity, pressure, concentration, and cake thickness taking into account the process at the channel inlet section are presented.