Formation of a temperature field and melting rate of ice vertically located on an opaque substrate and scattering radiation at radiant heating were studied numerically. To solve the part of the problem concerning radiative heat transfer, we used a modified method of mean fluxes, which takes into account volumetric absorption and scattering of radiation in the medium, as well as the selective nature of the radiation source. The influence of spectral volumetric properties of ice on melting and temperature rise of the non-irradiated side is shown. Comparison of calculation results with experimental data shows satisfactory agreement.

中文翻译：

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考虑辐射散射的冰层非稳态热态计算研究

数值研究了垂直于不透明基底上的冰的温度场形成和融化速率以及辐射加热下的散射辐射。为了解决部分与辐射热传递有关的问题，我们使用了一种改良的平均通量方法，该方法考虑了介质中辐射的体积吸收和散射以及辐射源的选择性。显示了冰的光谱体积特性对未照射侧的融化和温度升高的影响。计算结果与实验数据的比较显示出令人满意的一致性。