Development of mathematical modeling methods filtration flows of multicolored liquids

Svetlana N. Petrova - Candidate of Pedagogical Sciences, Associate Professor, Associate Professor of the Department of Information Law. Ural State Law University named after V. F. Yakovlev; Professor of the Department of Humanities and Natural Sciences. UMMC Technical University

Nikolay P. Petrov - Candidate of Physical and Mathematical Sciences, Associate Professor, Associate Professor of the Department of Chess Art and Computer Mathematics. Ural State University of Economics

Natalia V. Korzhavina - Candidate of Pedagogical Sciences, Associate Professor, Associate Professor of the Department of Humanities and Natural Sciences. UMMC Technical University

Vladislav O. Berin - Student. Ural State University of Economics

Abstract

Today the relevance of the issues of environmental consequences of technological human intervention in the world around us is beyond doubt. The rapid development of technique and technology entails the development of new ways and methods of environmental protection. At the same time, issues of theoretical research, the creation of mathematical, and then computer models of the studied phenomena, play an important role. The article considers the influence of pollution of stationary filtration flows of an incompressible multicolored liquid on the environment. The problems of mathematical modeling of the filtration flows of multicolored liquids are solved. It is assumed that pollution does not significantly change the properties of the filtered liquid, its density and viscosity. Liquids do not mix and have a clear interface, which does not have a harmful effect on the environment.

Keywords: mathematical modeling; stationary filtration; incompressible liquid; filtration; multicolored liquid; ecological model.

For citation: Petrova S. N., Petrov N. P., Korzhavina N. V., Berin V. O. Development of mathematical modeling methods filtration flows of multicolored liquids. Digital models and solutions. 2023. Vol. 2, no. 2. DOI: 10.29141/2782-4934-2023-2-2-2. EDN: PCAWJO.

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