Numerical computation for heat transfer in crystal growth

Abstract

The numerical analyses for crystallization processes are selected and summarized from the author’s recent works. The importance of heat transfer may be noted in the phase change manufacturing processes from liquid to solid. The effect of convection on the curved interface may be also noted in the floating zone crystallization process. Specifically, the processes presented are as follows. Three-dimensional cylindrical coordinate model for a Czochralski bulk flow of liquid metal in a horizontal or a vertical magnetic field is presented and numerically solved for selected conditions. Then, a floating zone crystallization method is modeled by an axisymmetric coordinate and then solved by an isoparametric finite element method for curved solid/melt interfaces and a gas/melt interface. Sample computational results are also presented.