Abstract
The problem of radiation-conductive heating and subsequent melting of ice in a climatic chamber in a single-phase approximation of the Stefan problem was posed and solved by mathematical modeling methods taking into account a thin water film formed on the irradiated surface. The fields of temperature and density of the resulting radiation flux are obtained, as well as the rate of melting and heating of the non-irradiated ice surface. Comparison of results with experimental data showed satisfactory agreement.
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References
C. Vuik, Some historical notes on the Stefan problem, Nieuw Archief voor Wiskunde, 4 serie, 1993, vol. 11, no. 2, p. 157–167.
A.M. Meirmanov, The Stefan Problem, Walter de Gruyter, Berlin–N.Y., 1992.
N.A. Rubtsov, A.M. Timofeev, and N.A. Savvinova, Combined Heat Transfer in Semitransparent Media, Publ. House, SB RAS, Novosibirsk, 2003.
M. Abrams and R. Viskanta, The effect of radiative heat transfer upon the melting and solidification of semi–transparent crystals, J. Heat Transfer, (Trans. ASME), 1974, Vol. 96, Iss. 2, P. 184–190.
S.H. Chan, D.H. Cho, and G. Kocamustafaogullaru, Melting and solidification with internal radiative transfer a generalized phase change model, Int. J. Heat and Mass Transfer, 1983, vol. 26, no. 4, p. 621–633.
V.A. Petrov, V.E. Titov, and A.Yu. Vorobyev, Numerical simulation of concentrated laser radiation heating of refractory oxides, High Temperatures — High Pressure, 1999, vol. 31, p. 267–274.
N.A. Rubtsov, Radiant Heat Transfer in Solid Media, Nauka, Novosibirsk, 1984.
V. Le Dez, F. Yousefian, D. Vaillon, D. Lemonnier, and M. Lallemand, Problème de Stefan direct dans un mi–lieu semi–transparent gris, J. de Phys. III, 1996, vol. 6, p. 379–390.
N.A. Rubtsov, N.A. Savvinova, and S.D. Sleptsov, Simulation of the one–phase Stefan problem in a layer of a semitransparent medium, J. Engng Thermophys., 2015, vol. 24, no. 2, p. 123–138.
N. Seki, M. Sugawara, and S. Fukusaki, Radiative melting of ice layer adhering to a vertical surface, Wärme–und Stoffübertragung, 1979, Vol. 12, Iss. 2, P. 137–144.
B. Song and R. Viskanta, Deicing of solids using radiant heating, J. Thermophys. Heat Transfer, 1990, vol. 4, no. 3, p. 311–317.
M.S. Krass and V.G. Merzlikin, Radiation Thermal Physics of Snow and Ice, Gidrometeoizdat, Leningrad, 1990.
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The work was carried out in the framework of budget project III.18.2.2. “Thermal-physical properties, phase transformations and kinetic processes in the working media and materials for energy technologies” and supported by the Russian Foundation for Basic Research (Grant No. 18-48-140011-r_a).
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Sleptsov, S.D., Rubtsov, N.A. & Savvinova, N.A. Modeling of ice heating and melting in approximation of the Stefan problem considering radiation. Thermophys. Aeromech. 25, 421–428 (2018). https://doi.org/10.1134/S0869864318030095
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DOI: https://doi.org/10.1134/S0869864318030095