On velocity selection for needle-crystals in a fully non-local model of solidification
- 1 January 1987
- journal article
- Published by EDP Sciences in Journal de Physique
- Vol. 48 (4) , 547-552
- https://doi.org/10.1051/jphys:01987004804054700
Abstract
We show that the results on velocity selection for needle-crystals in the symmetric model of dendritic solidification recently derived by Ben Amar-Pomeau [8] and by Barbieri, Hong and Langer [11] in the small Péclet number p limit, are in fact strictly valid for all p's. This means, in particular, that for 2-D systems with a weakly anisotropic surface tension, the selected velocity should scale as p2 for all undercoolingsKeywords
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