Theoretical Study on the Ice Melting with Transient Double Effects of Temperature and Concentration

Abstract

The melting of the ice plate with the transient double effects of the temperature and concentration was studied theoretically. In the present study, our main attention was paid to the early stage of melting, when the abrupt changes of the temperature and concentration distributions occur. The results of the present theoretical study were summarized as follows. (1) It was found that the approximate similar solutions can be obtained under the certain assumptions of the velocity component, and we derived the simple formula to evaluate the melting mass of the ice plate. (2) The present formula can evaluate the melting mass of the horizontal ice plate more correctly than the case of the vertical ice plate.