The numerical–asymptotic solution of spatial model of the aerobic water treatment

Volume 1, Issue 2, December 2016     |     PP. 197-209      |     PDF (637 K)    |     Pub. Date: December 23, 2016
DOI:    391 Downloads     7820 Views  

Author(s)

Andrii Safonyk, Professor, Department of Automation, Electrical and Computer-Integrated Technologies, National University of Water and Environmental Engineering, Rivne, Ukraine

Abstract
In this paper, the mathematical model of biological water treatment by spatial filter was designed. The algorithm of numerical-asymptotic approximation of the solution of the corresponding model problem was developed. It describes a system of nonlinear singularly perturbed differential equations, such as "convection-diffusion mass transfer" for area, bounded by the four surfaces of the current and two equipotential surfaces. On this basis, a computer experiment of optimization parameters of the purification process was conducted. It includes the loading time of protective action, the size of the filter etc., the results of which confirmed a known fact that the performance of the filter greatly depends on the choice of its shape.

Keywords
spatial modeling task, biological filter, asymptotic-numerical solution, singularly perturbed problem

Cite this paper
Andrii Safonyk, The numerical–asymptotic solution of spatial model of the aerobic water treatment , SCIREA Journal of Mathematics. Volume 1, Issue 2, December 2016 | PP. 197-209.

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