Modeling of ice heating and melting in approximation of the Stefan problem considering radiation

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.