Mathematical Modeling of the Processes of Convective Diffusion and Sorption in a Three-Layer Porous Body. I. Mass Transfer of Impurity Particles with a Porous Solution

We propose a mathematical model of convective diffusion of impurity particles accompanied by sorption processes in a body formed by three contacting porous layers with different physical and chemical characteristics under the conditions of imperfect contact for the concentration on the interfaces. The analytic solution of the contact initial-boundary value problem of convective diffusion of impurity substances in a composite layer is obtained with the help of integral transformations over the spatial variable applied in each contacting layer separately. A system of integral equations for the functions of concentration of migrating particles on the interfaces is obtained and solved. The formulas for finding the concentrations of impurity particles sorbed on the skeleton of the three-layered porous body are obtained.