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 image/svg+xml , National University of Water and Environmental Engineering image/svg+xml
  • Rajab Hesham National University of Water and Environmental Engineering image/svg+xml , National University of Water and Environmental Engineering image/svg+xml

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, National University of Water and Environmental Engineering

    Department of Applied Mathematics

  • Rajab Hesham, National University of Water and Environmental Engineering, National University of Water and Environmental Engineering

    Department of Applied Mathematics

References

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Published

2019-11-05

Issue

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

Section

Mathematical, computer modeling and computational methods

How to Cite

Nonlinear Mathematical Model of Contaminant Distribution in Unsaturated Catalytic Porous Media. (2019). MCIT: Proceedings of International Scientific and Practical Conference, 3, 88-91. https://doi.org/10.31713/MCIT.2019.43

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