Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 505, Pages 79–85
DOI: https://doi.org/10.31857/S268695432204018X
(Mi danma282)
 

This article is cited in 2 scientific papers (total in 2 papers)

INFORMATICS

Modeling formation and removal of limescale in water treatment systems

N. I. Tarasov, T. A. Kudryashova, S. V. Polyakov

Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia
Citations (2)
References:
Abstract: Modeling the processes of formation and removal of limescale formed in water treatment systems is considered to develop closed-loop technologies. Solid deposits that form over time on the surfaces of heat exchangers damage the heating elements of cleaning systems and neutralize their cleaning function. Various approaches are used to remove sedimentary fractions, but the most effective of them are based on mathematical modeling. In the work, a computational experiment is carried out, reproducing the main stages of water purification from solid impurities. For this purpose, the process of formation of solid deposits on a heating element of complex geometry was studied. The flow modelling is based on the quasi-hydrodynamic model supplemented with convection–diffusion–reaction equations. The performed three-dimensional calculations show the evolution of the heating element contamination, leading to a drop in the efficiency of its heat transfer and a decrease in the quality of cleaning. In addition, the process of restoring the characteristics of the heating element when pumping hydrochloric acid through the system is investigated in the calculations. The results illustrate the reduction of the sedimentary layer on the heating element and the restoration of its cleaning function.
Keywords: mathematical modeling lime scale formation in water purification systems, quasi-hydrodynamic model, convection–diffusion–reaction equations.
Presented: B. N. Chetverushkin
Received: 31.03.2022
Revised: 12.05.2022
Accepted: 03.06.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 1, Pages 279–285
DOI: https://doi.org/10.1134/S1064562422040184
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: N. I. Tarasov, T. A. Kudryashova, S. V. Polyakov, “Modeling formation and removal of limescale in water treatment systems”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 79–85; Dokl. Math., 106:1 (2022), 279–285
Citation in format AMSBIB
\Bibitem{TarKudPol22}
\by N.~I.~Tarasov, T.~A.~Kudryashova, S.~V.~Polyakov
\paper Modeling formation and removal of limescale in water treatment systems
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2022
\vol 505
\pages 79--85
\mathnet{http://mi.mathnet.ru/danma282}
\crossref{https://doi.org/10.31857/S268695432204018X}
\elib{https://elibrary.ru/item.asp?id=49344502}
\transl
\jour Dokl. Math.
\yr 2022
\vol 106
\issue 1
\pages 279--285
\crossref{https://doi.org/10.1134/S1064562422040184}
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  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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    References:18
     
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