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Physics and Mathematics

July 8, 2022; Paris, France: III International Scientific and Practical Conference «DÉBATS SCIENTIFIQUES ET ORIENTATIONS PROSPECTIVES DU DÉVELOPPEMENT SCIENTIFIQUE»


MATHEMATICAL MODEL OF CHEMICAL PURIFICATION OF WATER IN A MECHANICAL FILTER


DOI
https://doi.org/10.36074/logos-08.07.2022.053
Published
21.07.2022

Abstract

Based on the thermodynamic approach, a mathematical model of chemical water purification in a mechanical filter is constructed. For each of the components of the system, the mass transfer equation is obtained, on the basis of which the initial-boundary value problem of convective diffusion accompanied by a chemical reaction is formulated. Considering the terms corresponding to the components generated as a result of chemical reactions as internal sources, the system of integro-differential equations is assigned with the original initial-boundary value problem. The solution of this system is found by the method of successive iterations.

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