Solidification of ternary melts with a two-phase layer

GND
1279003006
ORCID
0000-0003-4587-2630
Affiliation
Otto-Schott-Institut für Materialforschung, Friedrich-Schiller-Universität-Jena, Jena 07743, Germany
Toropova, Liubov;
Affiliation
Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics,Ural Federal University , Ekaterinburg 620000,Russia
Ivanov, A A;
Affiliation
Institute of Natural Sciences and Mathematics,Ural Federal University , Lenin Ave., 51, Ekaterinburg 620000,Russia
Osipov, S I;
Affiliation
Key Laboratory of Polar Materials and Devices and Physics Department,East China Normal University , Shanghai 200241,People’s Republic of China
Yang, Y;
Affiliation
Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics,Ural Federal University , Ekaterinburg 620000,Russia
Makoveeva, E V;
ORCID
0000-0002-6628-745X
Affiliation
Laboratory of Multi-Scale Mathematical Modeling, Department of Theoretical and Mathematical Physics,Ural Federal University , Ekaterinburg 620000,Russia
Alexandrov, D V

This review is concerned with the nonstationary solidification of three-component systems in the presence of two moving phase transition regions—the main (primary) and cotectic layers. A non-linear moving boundary problem has been developed and its analytical solutions have been defined. Namely, the temperature and impurity concentration distributions were determined, the solid phase fractions in the phase transition regions and the laws of motion of their boundaries were found. It was shown that variations in the initial impurity concentration affect significantly the ratio between the lengths of the two-phase layers. A non-linear liquidus surface equation is theoretically taken into account as well.

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