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Dendritic growth from a melt in an external flow: uniformly valid asymptotic solution for the steady state

Published online by Cambridge University Press:  26 April 2006

Jian-Jun Xu
Jian-Jun Xu
Affiliation:
Department of Mathematics and Statistics, McGill University, Burnside Hall, 805 Sherbrooke Street West, Montreal, Canada H3A 2K6
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Abstract

This work is part of an investigation dealing with the effect of external flow in a melt on dendritic growth. In this paper, we will consider steady growth with zero surface tension. Assuming that the Prandtl number Pr is large, we are able to obtain a uniformly valid asymptotic solution for the steady state in the whole growth region.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 263 , 25 March 1994 , pp. 227 - 244
Copyright
© 1994 Cambridge University Press

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