Abstract

The melting of an ice layer with air bubbles on exposure 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 mean flux method taking into account the absorption and scattering of the 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.

中文翻译：

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含气泡冰层热态的数值研究

摘要

在单相 Stefan 问题的框架内，通过数学建模研究了暴露于人工热辐射源时带有气泡的冰层的融化。考虑到介质中辐射的吸收和散射以及辐射的选择性，冰层中辐射-传导传热问题的辐射部分通过改进的平均通量方法进行数值求解。使用传输近似来考虑由气泡引起的辐射的各向异性散射。结果表明，计算结果与实验数据吻合较好。