Volume 1, Number 2 (2016)
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Home > Journals > SCIREA Journal of Mathematics > Archive > Paper Information

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
186 Downloads     1702 Views  

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

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.

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. Vol. 1 , No. 2 , 2016 , pp. 197 - 209 .


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