抄録
A problem regarding the steady solidification of a liquid on a moving horizontal wall which is cooled to below the melting temperature of the liquid is treated in this paper. The liquid is assumed to flow out through a fixed wall, which is parallel to the moving wall, at a temperature above the melting temperature. The walls are assumed to extend infinitely in the horizontal direction. The problem is governed by four parameters: the Reynolds number, the Prandtl number, the temperature difference ratio, the ratio of the temperature difference between the melting point and the moving wall to that between the fixed wall and the melting point, and the ratio of the thermal conductivity for the liquid phase to that for the solid one. The governing equations can be reduced to ordinary differential equations. They are solved by using a numerical method and an asymptotic one. The thickness of the solid layer solidified on the moving wall is found to be independent of the velocity of the moving wall. That is, it is determined by the temperature difference and the distance between the fixed wall and the moving one, the velocity of the liquid flowing from the fixed wall, and the material properties of the liquid phase and solid one. In the case of a large Reynolds number and large Prandtl number, it is found to depend strongly on the value at the interface of the second derivative of the velocity in the direction perpendicular to the interface between the liquid and solid.
