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On the Interaction of Insoluble Spherical Particles with a Solidifying Interface in the Presence of Morphological Instabilities

Published online by Cambridge University Press:  10 February 2011

L. Hadji  and
A.M.J. Davis
L. Hadji
Affiliation:
Mathematics Department, University of Alabama, Tuscaloosa, AL 35487-0350, [email protected]
A.M.J. Davis
Affiliation:
Mathematics Department, University of Alabama, Tuscaloosa, AL 35487-0350
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Abstract

The interaction of a dilute suspension of spherical particles with a moving solidifying front is investigated analytically. The front emerges during the unidirectional solidification of a dilute binary alloy. A linear stability analysis of the planar interface reveals that the presence of the particles has a destabilizing effect, i.e. the critical value of the control parameter, taken here to be the concentration faraway from the interface, for the onset of the Mullins-Sekerka instability is lowered due to the particles' presence.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 529: Symposia BB – Computational & Mathematical Models of Microstructural Evolution , 1998 , 33
Copyright
Copyright © Materials Research Society 1998

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