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The discovery of ordered mesoporous materials has opened great opportunities for new applications in heterogeneous catalysis e.g. in soil purification processes. The focus of this study is the development of a mathematical model to simulate heat, mass and moisture transfer in soil arrays tacking into account catalytic microor nanoparticles. The nonlinear mathematical model of contaminant distribution in unsaturated catalytic porous media to the filter-trap in non-isothermal conditions is presented. The finite differences method was used to find the numerical solution of the corresponding boundary value problem and the analytical solution for mass transfer in catalytic microor nanoparticles was presented as well. Numerical experiments and their analysis were conducted using NanoSurface software complex. Key-Words: mathematical model; boundary value problem; numerical method; nanoparticles, moisture transfer Received: March 31, 2020. Revised: April 21, 2020. Accepted: May 4, 2020. Published: May 9, 2020.

Mathematical Modeling of Heat, Mass and Moisture Transfer in Catalytic Porous Media