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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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References

[1] Jackson, K.A. and Chalmers, B., J. Appl. Phys. 29, 1178 (1958).Google Scholar
[2] Corte, A.E., J. of Geological Res. 67, 1085 (1962).Google Scholar
[3] Korber, C., Rau, G., Cosman, M.D., and Cravalho, E.G., J. Crystal Growth 72, 649 (1985).Google Scholar
[4] Uhlmann, D.R., Chalmers, B. and Jackson, K.A., J. Appl. Phys. 67, 1085 (1964).Google Scholar
[5] Chernov, A.A., Temkin, D.E. and Mel'nikova, A.M., Soy. Phys. Crystallogr. 21, 369 (1976); ibid., 22, 656 (1976).Google Scholar
[6] Shangguan, D., Ahuja, S. and Stefanescu, D.M., Met. Trans. 23A, 669 (1992).Google Scholar
[7] Sekerka, R.F., J. Crystal Growth 3, 4, 71 (1968).Google Scholar
[8] Coriell, S.R., Cordes, M.R., Boettinger, W.J. and Sekerka, R.F., J. Crystal Growth 49, 13 (1981).Google Scholar
[9] Ungarish, M., Hydrodynamics of Suspensions (Springer-Verlag, Berlin, 1993), p.10.Google Scholar