Impurity effect on dendritic growth

Abstract

We consider the effects of impurities on the velocity selection of a needle crystal, in the small thermal and solutal Peclet numbers. As in the case of the growth in a pure melt, steady solutions for needle crystals are found only if surface tension is anisotropic. When anisotropy is small, the variation of ${\sigma }^{\mathrm{*}}$ with impurity concentration is found, in agreement with results given by the heuristic model of Lipton et al. [Metall. Trans. A 18, 341 (1987)].