PMID: 15244830Jul 13, 2004Paper

Linear morphological stability analysis of the solid-liquid interface in rapid solidification of a binary system

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Peter Galenko, D A Danilov

Abstract

The interface stability against small perturbations of the planar solid-liquid interface is considered analytically in linear approximation. Following the analytical procedure of Trivedi and Kurz [Acta Metall. 34, 1663 (1986)]], which is advancing the original treatment of morphological stability by Mullins and Sekerka [J. Appl. Phys. 35, 444 (1964)]] to the case of rapid solidification, we extend the model by introducing the local nonequilibrium in the solute diffusion field around the interface. A solution to the heat- and mass-transport problem around the perturbed interface is given in the presence of the local nonequilibrium solute diffusion. Using the developing local nonequilibrium model of solidification, the self-consistent analysis of linear morphological stability is presented with the attribution to the marginal (neutral) and absolute morphological stability of a rapidly moving interface. Special consideration of the interface stability for the cases of solidification in negative and positive thermal gradients is given. A quantitative comparison of the model predictions for the absolute morphological stability is presented with regard to experimental results of Hoglund and Aziz [D. E. Hoglund and M. J. Aziz, in Kine...Continue Reading

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Oct 13, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peter Galenko
Sep 13, 2014·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Sebastian GurevichNikolas Provatas
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Peter Galenko, David Jou
May 23, 2006·Physical Review Letters·P K Galenko, D M Herlach

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