熱平衡に於ける固液界面形状の数値解法

概要

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We find a simple solution method to calculate the solid-liquid interface under the thermal equilibrium condition. The boundary-fitted coordinate system is used in its procedure. This method is applied to two cases, one case that the interface temperature is equal to the melting temperature and the other that the interface temperature is unequal to that. In the former case we find the criterion of interface shapes through the calculation. That is, when m_LK_L>m_SK_S, the interface is convex toward the solid, when m_LK_L=m_SK_S, it is flat and when m_LK_L<m_SK_S, it is concave where m_L, m_S are the temperature slope on the wall along the liquid and that along the solid and K_L, K_S are the heat conductivity of liquid and that of solid. In the latter case the interface shapes are obtained when the grain-boundary exists, It is found that the interface shape is determined by the contact angle between crystals, Nash's dimensionless term and the ratio of K_L and K_S.
日本シミュレーション学会の論文
1990-09-15