Boundary integral method for elliptical paraboloid dendrite propogating in an undercooled melt

E. A. Titova, D. V. Alexandrov, P. K. Galenko

ABSTRACT

The free growth of a dendritic crystal in the form of an elliptical paraboloid from a melt is analyzed. It is shown that, in the absence of anisotropy and the Gibbs-Thomson effect, the solution coincides with the previously known solution of Horvay-Cahn. A criterion for stable growth for a dendrite in the form of an elliptical paraboloid was obtained.

KEYWORDS:

dendritic growth, crystallization.

Posted in modelling.

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