Effect of density change at crystallization on a one-dimensional heat balance equation at solid-liquid interface

摘要

In this paper, we study how we should treat a steady-state interface between homogeneous crystal and melt phases, where steady temperature gradients are present at both sides. In particular, keeping the geometry of Czochralski method in mind, we study a correction for the heat balance equation at the interface between the two phases. We show that a netagive term proportional to the third power of the pulling velocity, which is caused by the density difference between the two phases, is added to the heat balance equation. (C) 2019 The Japan Society of Applied Physics