Numerical Study of the Thermal State of an Ice Layer Containing Air Bubbles
S. D. Sleptsov1, N. A. Savvinova2, M. A. Grishin1
1Kutateladze Institute of Thermophysics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
2Ammosov North-Eastern Federal University, Yakutsk, 677000, Russia
Keywords: ice, melting, Stefan problem, anisotropic scattering, selectivity, transport approximation
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.
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