多元合金の凝固過程のミクロ方程式

The purpose of the present paper is to establish a system of equations which describes the growing process of every crystal in mold.In the first place, regarding the fact that many crystals of various phases grow and move in the liquid phase during solidification, the conservative equations of mass, heat and momentum have been derived on the phase boundary between liquid and crystals as well as in the phases.In the second place, the derived equations were discussed from the point of a boundary value problem. Thereafter it has been found that the system requires the equations of the reaction rates and the continuity of temperature on the phase boundary other than conservative equations. Accordingly, the equations of reaction rates have been derived for every component of alloy after Jackson who treated a binary solid solution.The present system of equations were compared with the various equations used by previous workers on solidification, and it was made clear that almost all of them can be derived by introducing additional assumptions to the present system of equations.departmental bulletin pape