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Analytical Solution for a Problem of Directional Solidification in a Ternary System

100%
Alexandrov D., Ivanov A.
Acta Physica Polonica A
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2009
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vol. 115
|
issue 4
786-790
EN
This paper is devoted to new analytic results relating to the nonstationary dynamics of directional solidification of ternary solutions with two moving layers of the phase transition lying between solid and liquid phases. Explicit analytical solutions of the problem under consideration are constructed on the basis of laboratory experiments carried out by Aitta, Huppert and Worster.
2
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Self-Similar Solidification of Binary Alloys

81%
Alexandrov D., Ivanov A., Malygin A.
Acta Physica Polonica A
|
2009
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vol. 115
|
issue 4
795-799
EN
The self-similar crystallization process of a binary mixture from a cooled boundary is studied on the basis of two models with a planar front and mushy layer. Approximate analytical solutions of the process describing the solidification with a mushy layer are found. The theory under consideration is in good agreement with experiments carried out by Huppert and Worster for ice growing from aqueous salt solutions.
3
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Mushy Layer Formation during Solidification οf Binary Alloys from a Cooled Wall: the Role of Boundary Conditions

81%
Alexandrova I., Alexandrov D., Aseev D., Bulitcheva S.
Acta Physica Polonica A
|
2009
|
vol. 115
|
issue 4
791-794
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.
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