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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2006, Volume 47, Issue 3, Pages 84–91 (Mi pmtf2151)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical modeling of the single-phase Stefan problem in a layer with transparent and semitransparent boundaries

N. A. Rubtsova, S. D. Sleptsova, N. A. Savvinovab

a Kutateldze Institute of Thermal Physics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
b Yakutsk State University, Yakutsk, 677000
Full-text PDF (258 kB) Citations (3)
Abstract: Numerical modeling of the single-phase Stefan problem in a semitransparent layer with transparent, nonabsorbing, and partially radiation-absorbing boundaries is performed. It is shown that at low temperatures of the medium, convection is a determining factor on the boundary of the irradiated sample, and at high temperatures, radiation is predominant. The absence of absorption on the boundaries of the layer leads to acceleration of the heating of the plate and considerable deceleration of melting processes.
Keywords: radiation, absorption, heating, phase transition, convection, heat conduction.
Received: 14.07.2005
English version:
Journal of Applied Mechanics and Technical Physics, 2006, Volume 47, Issue 3, Pages 377–383
DOI: https://doi.org/10.1007/s10808-006-0065-5
Bibliographic databases:
Document Type: Article
UDC: 536.3+536.42
Language: Russian
Citation: N. A. Rubtsov, S. D. Sleptsov, N. A. Savvinova, “Numerical modeling of the single-phase Stefan problem in a layer with transparent and semitransparent boundaries”, Prikl. Mekh. Tekh. Fiz., 47:3 (2006), 84–91; J. Appl. Mech. Tech. Phys., 47:3 (2006), 377–383
Citation in format AMSBIB
\Bibitem{RubSleSav06}
\by N.~A.~Rubtsov, S.~D.~Sleptsov, N.~A.~Savvinova
\paper Numerical modeling of the single-phase Stefan problem in a layer with transparent and semitransparent boundaries
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2006
\vol 47
\issue 3
\pages 84--91
\mathnet{http://mi.mathnet.ru/pmtf2151}
\elib{https://elibrary.ru/item.asp?id=16515884}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2006
\vol 47
\issue 3
\pages 377--383
\crossref{https://doi.org/10.1007/s10808-006-0065-5}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2151
  • https://www.mathnet.ru/eng/pmtf/v47/i3/p84
    • This publication is cited in the following 3 articles:
    1. I. G. Donskoy, “The influence of radiant heat loss on the melting conditions of a material with internal heat release”, «Izvestiya vysshikh uchebnykh zavedenii. PROBLEMY ENERGETIKI», 26:3 (2024), 173  crossref
    2. Nadezhda A. Savvinova, Semen D. Sleptsov, Nikolai A. Rubtsov, AIP Conference Proceedings, 1903, 2017, 030034  crossref
    3. S. D. Sleptsov, N. A. Rubtsov, N. A. Savvinova, “Single-phase Stefan problem in selectively absorbing medium”, Thermophys. Aeromech., 23:1 (2016), 109  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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