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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 6, Pages 1055–1063
DOI: https://doi.org/10.31857/S0044466924060134 (Mi zvmmf11775) 		 
Mathematical physics

Modeling the ice–water phase transition in a tube with small ice buildups on the wall

R. K. Gaydukov, V. G. Danilov

National Research University Higher School of Economics, 109028, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466924060134
Abstract: Mathematical modeling of the ice–water phase transition during liquid flow inside a pipe with a small ice buildup on the wall at high Reynolds numbers is considered. As a mathematical model describing the dynamics of the phase transition, a double-deck boundary layer model and a phase field system are used. Results of numerical simulation are presented.
Key words: phase transition, double-deck structure, heat transfer, localized perturbations, asymptotics, numerical simulation.
Funding agency Grant number
Russian Science Foundation 22-21-00186
This work was supported by Russian Science Foundation, project no. 22-21-00186, https://rscf.ru/en/project/22-21-00186/.
Received: 18.09.2023
Accepted: 05.03.2024
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 64, Issue 6, Pages 1317–1325
DOI: https://doi.org/10.1134/S0965542524700544
Bibliographic databases:
Document Type: Article
UDC: 532.5
Language: Russian
Citation: R. K. Gaydukov, V. G. Danilov, “Modeling the ice–water phase transition in a tube with small ice buildups on the wall”, Zh. Vychisl. Mat. Mat. Fiz., 64:6 (2024), 1055–1063; Comput. Math. Math. Phys., 64:6 (2024), 1317–1325
Citation in format AMSBIB
\Bibitem{GayDan24}
\by R.~K.~Gaydukov, V.~G.~Danilov
\paper Modeling the ice--water phase transition in a tube with small ice buildups on the wall
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 6
\pages 1055--1063
\mathnet{http://mi.mathnet.ru/zvmmf11775}
\crossref{https://doi.org/10.31857/S0044466924060134}
\elib{https://elibrary.ru/item.asp?id=75171322}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 64
\issue 6
\pages 1317--1325
\crossref{https://doi.org/10.1134/S0965542524700544}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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