One-dimensional Modeling of Contaminant Migration in Unsaturated Porous Media with Dispersed Catalyst Particles

Abstract

The nonlinear mathematical model of a contaminant distribution in unsaturated catalytic porous media to the filter-trap in non-isothermal conditions is presented. The mathematical model takes into account the micro and the meso/macro scale factors of the heat- mass- and moisture transfer processes. The numerical solution of the respective boundary value problem was obtained by the finite differences method. The analytical solution for mass transfer in nanoparticles was presented as well.