Study of Melting of a Ice Layr with a Combined Effect of Temperature and Concentration

对方形空腔内垂直冰板融化成氯化钙水溶液的过程进行了实验和数值研究。浸入水溶液中的冰板与冰中的温度降低自发地融化，即使在冰和刚刚开始融化的水溶液之间没有温度差，这是不可能通过用热扩散控制的经典Stefan问题来预测的。一个新的概念的质量扩散控制的融化的数值方法定量预测的冰的温度，瞬时融化的质量，并在液体中的双扩散对流，这是通过实验验证的融化和流动可视化的突然凹陷。此外，还发现，由于最靠近熔化前沿的浓度边界层非常薄，因此本数值预报将需要设置小于约0.1mm的非常小的网格尺寸。

Experimental and numerical investigations are carried out of the melting of a vertical ice plate into a calcium chloride aqueous solution inside a square cavity. The ice plate immersed into the aqueous solution melts spontaneously associated with temperature depression in the ice even when there is no temperature difference between the ice and the aqueous solution just beginning of the melting, which is not possible to predict through the classical Stefan problem controlled with a thermal diffusion. A numerical method with a new concept of a mass diffusion controlled melting predicts quantitatively an abrupt depression in the temperature of the ice, a transient melting mass, and a double diffusive convection in the liquid, which are validated through both experiments of the melting and flow visualizations. Moreover, it is also found that the present numerical prediction will require to set a very smaller mesh size less than about 0.1mm due to the very thin concentration boundary layr closest to the melting front.