Abstract

Thermal steady state in a Bridgman-Stockbarger crystal growth system is perturbed by a sudden increase of the ampoule moving rate. An explicit finite difference numerical scheme was developed for the one-dimensional transient state heat transfer computation of such a perturbation. The temperature field inside the ampoule, and the solid/liquid interface position, were computed versus time from the rate change. It was found that the transient behavior of the freezing rate strongly depended on the Biot numbers of the system, dimensionless latent heat, and the thickness of the insulation in between the heater and the cooler. The numerical results were well correlated by an equation, which can be used to estimate the time required for the freezing rate to equal the new moving rate.

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