MATHEMATICAL MODELING OF THE WATER
PURIFICATION PROCESS TAKING INTO ACCOUNT
THE INVERSE EFFECT OF THE PROCESS
CHARACTERISTICS ON THE CHARACTERISTICS
OF THE ENVIRONMENT
Andrii Safonyk1, Nataliia Zhukovska2,
Andriy Khrystyuk3, Mykola Koziar4, Ihor Ilkiv5
1,2,3,4National University of Water
and Environmental Engineering
5Rivne, 33028, 11 Soborna St., UKRAINE

Abstract

This paper considers and solves the issues of taking into account the inverse effect of process characteristics (liquid concentration and sediment contamination) on the environment characteristics (porosity, filtration, diffusion, mass transfer, etc.) on the example of liquid purification in magnetic and sorption filters. An algorithm for numerical- asymptotic approximation of the corresponding model problem solution is obtained, which is described by a system of non-linear singularly perturbed differential equations of the type “convection-diffusion-mass transfer". Appropriate ratios (formulas) are effective for optimizing the water treatment process and increasing the treatment system productivity as a whole (allow to determine the filter protective time, the filter size, etc.) in cases of convective predominance and sorption components of the corresponding process over diffusion and desorption which occurs in the vast majority of filter systems. On this basis, a corresponding computer experiment was conducted, the results of which show the proposed model advantages in comparison with classical.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 35
Issue: 3
Year: 2022

DOI: 10.12732/ijam.v35i3.8

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