Abstract
A thermal model is established that can be used to predict how the rate of a solidification interface varies in time according to the geometrical and thermal conditions governing the system. The effect of heat exchange in the space between the furnace and the crucible on the characteristic time for the establishment of steady state velocity conditions is emphasized. The influence on curvature of the solidification front is deduced for systems with small thermal diffusivity. The effect of thermal non-steady-state conditions on the solidification of binary alloys is calculated. The model is in good agreement with experimental data of Witt et al. on crystals of gallium doped germanium grown in space.
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