Mushy layer formation during solidification of binary alloys from a cooled wall: the role of boundary conditions / Alexandrova I.V., Alexandrov D.V., Aseev D.L., Bulitcheva S.V. // Acta Physica Polonica A. - 2009. - V. 115, l. 4. - P. 791-794.

ISSN:

05874246

Type:

Article

Abstract:

Motivated by metallurgical and geophysical applications we present a mathematical model describing the process of unidirectional solidification of binary melts or solutions, which is based on the classical Stefan thermodiffusion theory with a planar front up to a time of mushy layer initiation and on the quasi-equilibrium theory of solidification with a constitutionally supercooled region afterwards. The role of boundary conditions imposed at the cooled wall is studied in terms of heat flux coefficients describing ultimately nonlinear dynamics of the process.

Author keywords:

Index keywords:

Binary melt; Flux coefficients; Geophysical applications; Layer formation; Non-linear dynamics; Quasi-equilibrium; Supercooled regions; Thermodiffusion; Unidirectional solidification; Boundary conditi

DOI:

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https://www.scopus.com/inward/record.uri?eid=2-s2.0-66749146017&partnerID=40&md5=9c19fb02c6f612920cd6cd5b0a06a9c6

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Другие поля

Поле	Значение
Link	https://www.scopus.com/inward/record.uri?eid=2-s2.0-66749146017&partnerID=40&md5=9c19fb02c6f612920cd6cd5b0a06a9c6
Affiliations	Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
References	Ivantsov, G.P., (1947) Dokl. Akad. Nauk SSSR, 81, p. 179; Hills, R.N., Loper, D.E., Roberts, P.H., (1983) Quantum J. Appl. Math., 36, p. 505; Alexandrov, D.V., Malygin, A.P., (2006) Int. J. Heat Mass Transfer, 49, p. 763; Aseev, D.L., Alexandrov, D.V., (2006) Int. J. Heat Mass Transfer, 49, p. 4903; Buyevich, Y.A., Alexandrov, D.V., Mansurov, V.V., (2001) Macrokinetics of Crystallization, , Begell House, New York; Samarski, A.A., (1989) Theory of Difference Schemes, , Nauka, Moscow; Galenko, P.K., Fanke, O., Wang, J., Herlach, D.M., (2004) Mater. Sci. Eng. A, 375-377, p. 488; Alexandrov, D.V., Malygin, A.P., Alexandrova, I.V., (2006) Ann. Glaciol., 44, p. 118; Alexandrov, D.V., Nizovtseva, I.G., (2008) Dokl. Earth Sci., 419, p. 359
Correspondence Address	Alexandrova, I. V.; Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
CODEN	ATPLB
Language of Original Document	English
Abbreviated Source Title	Acta Phys Pol A
Source	Scopus