Abstract
A new method is suggested for solving the Stefan problem for crystal growth by directional solidification. The problem is treated as an essentially unsteady one. The conditions ensuring a constant growth rate and the controllability of the shape of the crystallization front are found. The observed and calculated data are in satisfactory agreement. The effect of an oscillating external force on the melt that initiates macrosegregation is analyzed. It is demonstrated that fluctuations of the crystal growth rate cause the formation of transverse growth striations. The radial inhomogeneity of the crystal is investigated.
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