Self-similar solidification: Morphological stability of the regime / Alexandrov D.V. // International Journal of Heat and Mass Transfer. - 2004. - V. 47, l. 6-7. - P. 1383-1389.

ISSN:

00179310

Type:

Article

Abstract:

The morphological instability analysis is carried out for non- stationary solidification of a binary melt. We demonstrate that both the morphological and dynamic neutral stability curves coincide. The neutral stability curve for morphological perturbations does not intersect the self-similar branch of solutions for solidification, that is, the morphological instability does not cause the mushy zone origination whereas the constitutional supercooling arising ahead of the stable planar front solidifying in self-similar manner is a reasonable criterion for the mushy region incipience. The theory under consideration is in a good agreement with experimental and numerical studies carried out by Huppert and Worster. © 2003 Elsevier Ltd. All rights reserved.

Author keywords:

Index keywords:

Numerical analysis; Perturbation techniques; Stability; Supercooling; Binary melt; Solidification; solidification

DOI:

10.1016/j.ijheatmasstransfer.2

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0347948304&doi=10.1016%2fj.ijheatmasstransfer.2003.08.009&partnerID=40&md5=2bf7b3c32ab2cf44130cca823801490d

Соавторы в МНС:

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0347948304&doi=10.1016%2fj.ijheatmasstransfer.2003.08.009&partnerID=40&md5=2bf7b3c32ab2cf44130cca823801490d
Affiliations	Department of Mathematical Physics, Urals State University, Lenin Avenue 51, Ekaterinburg 620083, Russian Federation
References	Mullins, W.W., Sekerka, R.F., Stability of a planar interface during directional solidification of a dilute binary alloy (1964) J. Appl. Phys., 35, pp. 444-451; Coriell, S.R., McFadden, G.B., Sekerka, R.F., Selection mechanisms for multiple similarity solutions for solidification and melting (1999) J. Crystal Growth, 200, pp. 276-286; Huppert, H.E., Worster, M.G., Dynamic solidification of a binary melt (1985) Nature, 314, pp. 703-707; Worster, M.G., Solidification of an alloy from a cooled boundary (1986) J. Fluid Mech., 167, pp. 481-501; Feltham, D.L., Worster, M.G., Similarity solutions describing the melting of a mushy layer (2000) J. Crystal Growth, 208, pp. 746-756; Coriell, S.R., McFadden, G.B., Sekerka, R.F., Boettinger, W.J., Multiple similarity solutions for solidification and melting (1998) J. Crystal Growth, 191, pp. 573-585
Correspondence Address	Alexandrov, D.V.; Department of Mathematical Physics, Urals State University, Lenin Avenue 51, Ekaterinburg 620083, Russian Federation; email: dmitri.alexandrov@usu.ru
CODEN	IJHMA
Language of Original Document	English
Abbreviated Source Title	Int. J. Heat Mass Transf.
Source	Scopus