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

• Authors: I. Alexandrova , D. Alexandrov , D. Aseev , S. Bulitcheva
• 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

44.05.+e; 81.30.Fb

Discipline

• 81.30.Fb: Solidification
• 44.05.+e: Analytical and numerical techniques

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2009
• Volume: 115
• Issue: 4
• Pages: 791-794

Dates

published

2009-04

Contributors

author

I. Alexandrova

• Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation

author

D. Alexandrov

• Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation

author

D. Aseev

• Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation

author

S. Bulitcheva

• Department of Mathematical Physics, Urals State University, Ekaterinburg 620083, Russian Federation

References

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• 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)

Identifiers

DOI

10.12693/APhysPolA.115.791