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2009 | 115 | 4 | 791-794
Article title

Mushy Layer Formation during Solidification οf Binary Alloys from a Cooled Wall: the Role of Boundary Conditions

Content
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Languages of publication
EN
Abstracts
EN
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.
Keywords
EN
Publisher

Year
Volume
115
Issue
4
Pages
791-794
Physical description
Dates
published
2009-04
Contributors
  • Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
author
  • Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
author
  • Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
author
  • Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation
References
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  • 2. R.N. Hills, D.E. Loper, P.H. Roberts, Quantum J. Appl. Math. 36, 505 (1983)
  • 3. D.V. Alexandrov, A.P. Malygin, Int. J. Heat Mass Transfer 49, 763 (2006)
  • 4. D.L. Aseev, D.V. Alexandrov, Int. J. Heat Mass Transfer 49, 4903 (2006)
  • 5. Yu.A. Buyevich, D.V. Alexandrov, V.V. Mansurov, Macrokinetics of Crystallization, Begell House, New York 2001
  • 6. A.A. Samarski, Theory of Difference Schemes, Nauka, Moscow 1989
  • 7. P.K. Galenko, O. Fanke, J. Wang, D.M. Herlach, Mater. Sci. Eng. A 375-377, 488 (2004)
  • 8. D.V. Alexandrov, A.P. Malygin, I.V. Alexandrova, Ann. Glaciol. 44, 118 (2006)
  • 9. D.V. Alexandrov, I.G. Nizovtseva, Dokl. Earth Sci. 419, 359 (2008)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv115n408kz
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