Nonlinear Mathematical Model of Contaminant Distribution in Unsaturated Catalytic Porous Media

Authors

  • Viktor Zhukovskyy NUWEE
  • Anatolyy Vlasyuk The National University of Ostroh Academy
  • Natalya Zhukovska National University of Water and Environmental Engineering
  • Rajab Hesham National University of Water and Environmental Engineering

DOI:

https://doi.org/10.31713/MCIT.2019.43

Keywords:

mathematical model, boundary-value problem, numerical method, refinement, nanoadsorbent, mass transfer

Abstract

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.

Author Biographies

Anatolyy Vlasyuk, The National University of Ostroh Academy

Department of Economics, Mathematical Modeling and Information Technologies

Natalya Zhukovska, National University of Water and Environmental Engineering

Department of Applied Mathematics

Rajab Hesham, National University of Water and Environmental Engineering

Department of Applied Mathematics

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Published

2019-11-05

How to Cite

Zhukovskyy, V., Vlasyuk, A., Zhukovska, N., & Hesham, R. (2019). Nonlinear Mathematical Model of Contaminant Distribution in Unsaturated Catalytic Porous Media. Modeling, Control and Information Technologies: Proceedings of International Scientific and Practical Conference, (3), 88–91. https://doi.org/10.31713/MCIT.2019.43

Issue

2019: Modeling, control and information technologies: Proceedings of III International scientific and practical conference

Section

Mathematical modelling and computational methods