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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2021, Volume 62, Issue 3, Pages 118–125
DOI: https://doi.org/10.15372/PMTF20210311 (Mi pmtf174) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Numerical study of the thermal state of an ice layer containing air bubbles

S. D. Sleptsova, N. A. Savvinovab, M. A. Grishina

a S.S. Kutateladze Institute of Thermophysics, Siberian Division of the Russian Academy of Sciences, 630090, Novosibirsk, Russia
b North-Eastern Federal University named after M. K. Ammosov, 677000, Yakutsk, Russia
Full-text PDF (625 kB) First page Citations (4)
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DOI: https://doi.org/10.15372/PMTF20210311
Abstract: Melting of a layer of ice with air bubbles exposed to an artificial thermal radiation source is studied by mathematical modeling within the framework of the one-phase Stefan problem. The radiative part of the problem of radiative-conductive heat transfer in the ice layer is solved numerically by a modified average flux method taking into account the volumetric absorption and scattering of radiation in the medium and the selectivity of the radiation. The anisotropic scattering of radiation by air bubbles is taken into account using a transport approximation. It is shown that the calculation results are in satisfactory agreement with experimental data.
Keywords: ice, melting, Stefan problem, anisotropic scattering, selectivity, transport approximation.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation AAAA-121031800219-2
Received: 09.03.2021
Revised: 10.03.2021
Accepted: 29.03.2021
English version:
Journal of Applied Mechanics and Technical Physics, 2021, Volume 62, Issue 3, Pages 451–457
DOI: https://doi.org/10.1134/S0021894421030111
Bibliographic databases:
Document Type: Article
UDC: 536.3+536.42
Language: Russian
Citation: S. D. Sleptsov, N. A. Savvinova, M. A. Grishin, “Numerical study of the thermal state of an ice layer containing air bubbles”, Prikl. Mekh. Tekh. Fiz., 62:3 (2021), 118–125; J. Appl. Mech. Tech. Phys., 62:3 (2021), 451–457
Citation in format AMSBIB
\Bibitem{SleSavGri21}
\by S.~D.~Sleptsov, N.~A.~Savvinova, M.~A.~Grishin
\paper Numerical study of the thermal state of an ice layer containing air bubbles
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2021
\vol 62
\issue 3
\pages 118--125
\mathnet{http://mi.mathnet.ru/pmtf174}
\crossref{https://doi.org/10.15372/PMTF20210311}
\elib{https://elibrary.ru/item.asp?id=46271098}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2021
\vol 62
\issue 3
\pages 451--457
\crossref{https://doi.org/10.1134/S0021894421030111}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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