Abstract
A mathematical description of the processes of diffusion heat and mass transfer in a freezing seminfinite layer of seawater is presented. The mathematical formulation of a version of Stefan’s problem accounts for the possibility of the formation of a zone of phase transitions beyond which no phase transitions take place and the phase composition is known. Within the frameworks of a one-dimensional case and under a series of simplifying assumptions, self-similar solutions of the problem were obtained and plotted, such as the temperature and salinity distributions in the ice and the sub-ice layer, the phase composition of the sea ice, the heat flux across its upper boundary, and the position of the phase transition front. A qualitative comparison of these results with the experimental data available is presented.
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