Dynamic stability analysis of the solidification of binary melts in the presence of a mushy region: changeover of instability / Alexandrov D.V., Ivanov A.O. // Journal of Crystal Growth. - 2000. - V. 210, l. 4. - P. 797-810.

ISSN:

00220248

Type:

Article

Abstract:

A dynamic linear instability analysis of steady-state binary melt solidification with a mushy region has been carried out. Such an instability differs from a conventional morphological one of a planar solid-liquid interface and is connected with the perturbations in the steady-state solidification velocity. Solidification with a narrow mushy region has been revealed to be absolutely unstable with a monotonous instability of a 'hard' type. An increase of the mushy region width leads to an instability changeover from the 'hard' type to the oscillatory 'soft' one. Both the critical changeover width and the neutral stability curves have been determined as the functions of relevant physical and operating parameters. The steady-state solidification regime with a broad mushy region is absolutely stable. Thus, the mushy region width has been shown to represent a stabilizing factor.

Author keywords:

Index keywords:

Boundary conditions; Heat transfer; Interfaces (materials); Mathematical models; Morphology; Numerical analysis; Perturbation techniques; Phase diagrams; Phase transitions; Solidification; Stability;

DOI:

10.1016/S0022-0248(99)00763-0

Смотреть в Scopus:

https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033890680&doi=10.1016%2fS0022-0248%2899%2900763-0&partnerID=40&md5=3d6359fea911da4fadd9dc81a10dfe36

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Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-0033890680&doi=10.1016%2fS0022-0248%2899%2900763-0&partnerID=40&md5=3d6359fea911da4fadd9dc81a10dfe36
Affiliations	Department of Mathematical Physics, Urals Stt. Univ., Lenin A., Ekaterinburg, Russian Federation
References	Chernov, A.A., (1984) Modern Crystallography III: Crystal Growth, , Berlin: Springer; Stewart, M.T., Thomas, R., Wauchope, K., Winegard, W.C., Chalmers, B., (1951) Phys. Rev., 83, p. 657; Borisov, V.T., (1987) Theory of Two-Phase Zone of Metallic Ingot, , Moscow: Metallurgia; Buyevich, Yu.a., Iskakova, L.yu., Mansurov, V.V., (1990) Can. J. Phys., 68, p. 790; Iskakova, L.yu., Mansurov, V.V., (1994) Rasplavy, 1, p. 82; Alexandrov, D.V., Mansurov, V.V., (1996) Crystallogr. Rep., 41, p. 357; Alexandrov, D.V., Mansurov, V.V., (1996) Scr. Mater., 35, p. 787; Alexandrov, D.V., Buyevich, Yu.a., Mansurov, V.V., Vabischevich, P.N., Churbanov, A.G., (1996) Second ECCOMAS Conference on Numerical Methods in Engineering, p. 697; Anderson, D.M., Worster, M.G., (1996) J. Fluid Mech., 307, p. 245; Anderson, D.M., Worster, M.G., (1995) J. Fluid Mech., 302, p. 307; Worster, M.G., (1992) J. Fluid Mech., 237, p. 649; Emms, P.W., Fowler, A.C., (1994) J. Fluid Mech., 262, p. 111; Chen, F., Lu, J.W., Yang, T.L., (1994) J. Fluid Mech., 276, p. 163; Worster, M.G., (1997) Ann. Rev. Fluid Mech., 29, p. 91; Buyevich, Yu.a., Alexandrov, D.V., Mansurov, V.V., (1999) Macrokinetics of Crystallization, , New York: Begell House; Buyevich, Yu.a., Mansurov, V.V., (1993) Rasplavy, 6, p. 59; Buyevich, Yu.a., Mansurov, V.V., (1991) Sov. Phys. Dokl., 36, p. 582
Correspondence Address	Alexandrov, D.V.; Urals State Univ, Ekaterinburg, Russian Federation
Publisher	Elsevier Science B.V., Amsterdam, Netherlands
CODEN	JCRGA
Language of Original Document	English
Abbreviated Source Title	J Cryst Growth
Source	Scopus