Open AccessNonlinear Mathematical Model of Contaminant Distribution in Unsaturated Catalytic Porous Media
Author(s) -
Viktor Zhukovskyy,
Anatoliy Vlasyuk,
Nataliia Zhukovska,
Hesham Rajab
Publication year - 2019
Publication title -
modeling, control and information technologies
Language(s) - English
Resource type - Journals
eISSN - 2707-1049
pISSN - 2707-1030
DOI - 10.31713/mcit.2019.43
Subject(s) - porous medium , mass transfer , isothermal process , nonlinear system , boundary value problem , mechanics , heat transfer , filter (signal processing) , distribution (mathematics) , mathematical model , materials science , porosity , thermodynamics , mathematics , physics , mathematical analysis , computer science , composite material , quantum mechanics , computer vision , statistics
The nonlinear mathematical model of contaminant distribution in unsaturated catalytic porous media to the filter-trap in isothermal conditions is presented. The mathematical model takes into account the micro and the meso/macro scale factors of the heat and mass transfer processes. The numerical solution of the respective boundary value problem was obtained by the method of finite differences. The analytical solution for mass transfer in nanoparticles was presented as well.