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.
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
\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}
Linking options:
https://www.mathnet.ru/eng/pmtf174
https://www.mathnet.ru/eng/pmtf/v62/i3/p118
This publication is cited in the following 5 articles:
Zekang Zhen, Mengjie Song, Long Zhang, Xuan Zhang, Keke Shao, Sirui Yu, Han Shi, Runmiao Gao, Frosting and Icing for Efficient Energy Use in Engineering Applications, 2025, 403
Zhen Zekang, Song Mengjie, Shen Jun, Zhang Long, Zhang Xuan, “An experimental study on the effect of CO2 laser powers on melting characteristics of ice with trapped air bubbles under vertical irradiation”, Applied Thermal Engineering, 236 (2024), 121533
Nadezhda A. Savvinova, Semen D. Sleptsov, I. Onyusheva, D. Markovich, Z. Khussainova, L. Sembieva, “Mathematical modeling of cloudy ice thawing”, E3S Web Conf., 592 (2024), 02013
S. D. Sleptsov, N. A. Savvinova, “Simulation of ice melting on a vertical substrate”, Thermophys. Aeromech., 29:4 (2022), 633
S. D. Sleptsov, N. A. Savvinova, “Numerical investigation of the thermal state of a layer of anisotropically scattering ice”, Thermophys. Aeromech., 28:6 (2021), 913
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