One-dimensional solidification of an alloy with a mushy zone: Thermodiffusion and temperature-dependent diffusivity / Alexandrov D.V., Aseev D.L. // Journal of Fluid Mechanics. - 2005. - V. 527, l. . - P. 57-66.

ISSN:
00221120
Type:
Article
Abstract:
The effect of a temperature-dependent solute diffusion coefficient on a model of uni-directional solidification of a binary melt with a quasi-equilibrium mushy (two-phase) zone is studied. The Soret effect (thermodiffusion) is also included in the analysis. The concentration field in the liquid, solid and mushy phases, as well as the rate of solidification and mushy zone thickness, are found analytically as functions of all thermophysical parameters. The role of the nonlinear solute transport is detailed in the analysis. On the basis of analytical solutions, the regime of solidification with a quasi-equilibrium mushy zone is replaced by an equivalent discontinuity surface (frontal) regime with new boundary conditions. © 2005 Cambridge University Press.
Author keywords:
Index keywords:
Alloys; Fluid mechanics; Mass transfer; Solidification; Mushy zones; Solute diffusion; Soret effects; Thermophysical parameters; Thermal diffusion; fluid mechanics
DOI:
10.1017/S0022112004003052
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https://www.scopus.com/inward/record.uri?eid=2-s2.0-17044408393&doi=10.1017%2fS0022112004003052&partnerID=40&md5=54d382408e73dd5075a9f6f630924273
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Affiliations Department of Mathematical Physics, Urals State University, Lenin ave. 51, Ekaterinburg 620083, Russian Federation
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Correspondence Address Alexandrov, D.V.; Department of Mathematical Physics, Urals State University, Lenin ave. 51, Ekaterinburg 620083, Russian Federation; email: Dmitri.Alexandrov@usu.ru
CODEN JFLSA
Language of Original Document English
Abbreviated Source Title J. Fluid Mech.
Source Scopus