Mathematical Model of a Filter for Water Treatment Using Biofilms

Авторы: Bobyleva T.N., Shamaev A.S.
Журнал: IOP Conference Series: Materials Science and Engineering
Том: 1079
Год издания: 2021
Издательство: -
Местоположение издательства: Krakow
Номер статьи: 032081
DOI: 10.1088/1757-899X/1079/3/032081
Аннотация: Предложена математическая модель очистки воды с помощью биоактивных пленок The paper considers the principles of constructing a mathematical model of watertreatment based on the use of a biologically active layer, the bacteria of which absorb harmfulimpurities contained in water. A system of equations is presented on the basis of which a model of water purification is constructed in the simplest element, which is a rod covered with a biofilm. The system of equations is a system that includes a parabolic equation in a threedimensional domain and a hyperbolic equation on a part of the surface of this domain,connected to each other through a boundary condition and a potential in an equation of hyperbolic type. Next, an asymptotic analysis of this system is carried out, which allows us to reduce the model of an individual element to the solution of a simple ordinary differential equation. On this basis, a model of the entire water treatment device is proposed.
Добавил в систему: Шамаев Алексей Станиславович

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