High-rate solidification and melting of concentrated solutions and the Hillert parallel construction
- Authors: Lebedev V.G.1, Galenko P.K.1,2,3
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Affiliations:
- Udmurt State University
- Friedrich-Schiller Universität, Physikalisch-Astronomishce Fakultät
- Ural Federal University
- Issue: Vol 2016, No 8 (2016)
- Pages: 785-792
- Section: Article
- URL: https://journals.rcsi.science/0036-0295/article/view/170820
- DOI: https://doi.org/10.1134/S0036029516080097
- ID: 170820
Cite item
Abstract
A phase-field model is proposed for the solidification and melting of a binary concentrated solution (melt). The method of extended irreversible thermodynamics is used to derive thermodynamically consistent equations and to take into account low and high phase transformation rates. The Hillert parallel construction is applied to determine the driving forces of the solidification or melting of a binary system. When thermodynamic equilibrium states are described, the Gibbs potentials are assumed to be known. They are specified from the existing thermodynamic information databases or from experimental data. The results of a numerical investigation of the proposed model are presented.
Keywords
About the authors
V. G. Lebedev
Udmurt State University
Author for correspondence.
Email: lvg@udsu.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034
P. K. Galenko
Udmurt State University; Friedrich-Schiller Universität, Physikalisch-Astronomishce Fakultät; Ural Federal University
Email: lvg@udsu.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034; Jena, D-07743; ul. Mira 19, Yekaterinburg, 620002