Wastewater treatment simulation on vertical filters
Abstract
Wastewater treatment simulation on vertical filters
Incoming article date: 11.10.2020The principles of constructing a mathematical model of water purification based on the use of a biologically active layer, the bacteria of which absorb harmful impurities contained in the water, are considered. A system of equations is given, on the basis of which a water treatment model 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 three-dimensional domain and a hyperbolic equation on a part of the surface of the domain, connected to each other through the boundary condition and the potential in an equation of hyperbolic type. Next, an asymptotic analysis of this system is carried out, which makes it possible to reduce the model of an individual element to the solution of a simple ordinary differential equation. On this basis, a model is proposed for the operation of the entire water treatment device containing a large number of such elements.
Keywords: water treatment, biologically active layer, asymptotic analysis of solutions in a thin area, biofilm, mathematical model of pollution treatment, system of differential equations of mixed type, optimization of biofilter designs, urban wastewater