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THE SINGLE-PHASE STEFAN PROBLEM IN A SEMITRANSPARENT MEDIUM IN THE MODIFIED CLASSICAL SOLUTION. THE PROBLEM STATEMENT AND ANALYZE
Sleptsov S.D., Rubtsov N.A.
Institute of Thermophysics SB RAS, Novosibirsk, Russia
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Citation:
Sleptsov, S.D. and Rubtsov, N.A., (2013) The single-phase Stefan problem in a semitransparent medium in the modified classical solution. The problem statement and analyze, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 19 - 24.
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Keywords:phase transition; single-phase Stefan problem; radiant-conductive heat transfer; grey medium; reflectance; emissivity; transmittance |
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Abstracts:
The single-phase Stefan problem was modeled numerically in approximation of the classical solution in a semitransparent medium. The fields of temperature, resultance radiant flux, the dynamic of interphase and the evolution of the left handled temperature grow are considered in a wide range of emissivity of the right boundary of the irradiated. The convective and conductive heat transfer on a interphase was analyzed in depending on a optical properties of a boundary. |
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References:
Мейрманов А.М. Задача Стефана / А.М. Мейрманов - Новосибирск: Наука, 1986. - 240 с. Le Dez V., et al. Problem de Stefan direct dans un milieu semitransparent gris // J. Phys. III France. 1996. Vol. 6. P. 373-390 N.A. Rubtsov and S.D. Sleptsov Radiatsionnokonduktivnyu teploobmen v poluprozrachnoy srede s fazovym perekhodom na granitsakh raznoy pogloshchatelnoy sposobnosti [Radiant-conductive heat transfer in semitransparent medium with phase transition at boundaries with different absorptivity], Thermophysics and Aeromechanics, 2010, Vol. 17, No. 2, pp. 221-228. N.A. Rubtsov and S.D. Sleptsov Modelirovanie radiatsionno-konduktivnogo teploobmena v sloe poluprozrachnoy sredy v priblizhenii klassicheskogo resheniya odnofaznoy zadachi Stefana [Radiant-conductive heat transfer in semitransparent medium with phase transition at boundaries with different absorptivity], Thermophysics and Aeromechanics, 2010, Vol. 17, No. 2, pp. 221-228. Рубцов Н.А., Тимофеев А.М., Саввинова Н.А. Комбинированный теплообмен в полупрозрачных средах. Новосибирск: Изд-во СО РАН, 2003, 197 с. Рубцов Н.А. К решению однофазной задачи Стефана в слое полупрозрачного материала // Теплофизика и Аэромеханика, 2005, т. 12, №3, с. 471-482 Landau H.G. Heat conduction in a melting solid // Quart. Appl. Math., 1950, v.8, p. 81-94
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