The motion of the concentration front and adsorption of impurity during pumping of a nanofluid through a porous medium

The direct numerical simulation of the process of filtering a nanofluid through a porous medium of artificial origin is performed. The phenomenon of pore plugging due to the adsorption of nanoparticles on the walls of the channels is investigated. The theoretical study was initiated by the necessity to improve the technological process of saturation of porous materials by powdery media with desired properties. The description of the filtration process is based on Darcy's law with consideration for the variability of porosity and permeability of the medium, which are related by the Kozeny-Carman formula. The model takes into account the non-linear effect of the backward response to pore plugging, which lies in the fact that the filtration rate essentially decreases causing thereby the enhancement of impurity absorption. Based on the method of finite differences, an algorithm for solving the problem is constructed, and a program code for describing the process of penetration of the suspension into a rectangular sample is developed...