Solidification of ternary systems with a nonlinear phase diagram


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Abstract

The directional solidification of a ternary system with an extended phase transition region is theoretically studied. A mathematical model is developed to describe quasi-stationary solidification, and its analytical solution is constructed with allowance for a nonlinear liquidus line equation. A deviation of the liquidus equation from a linear function is shown to result in a substantial change in the solidification parameters.

About the authors

D. V. Alexandrov

Ural Federal University

Author for correspondence.
Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002

G. Yu. Dubovoi

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002

A. P. Malygin

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002

I. G. Nizovtseva

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002

L. V. Toropova

Ural Federal University

Email: Dmitri.Alexandrov@urfu.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002


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