Mathematical Description of the Nucleation in Supercooled Eutectic Melt
Authors
Aleksandr Dmitrievich Drozin
South Ural State University
Maksim Vladimirovich Dudorov
South Ural State University
Vasiliy Efimovich Roshin
South Ural State University
Pavel Aleksandrovich Gamov
South Ural State University
Leonid Davidovich Menikhes
South Ural State University
Keywords:
nucleation, eutectic, supercooling, nucleation model, growth model
Abstract
Theoretical research and mathematical description of a supercooled eutectic melt are carried out. The special emphasis is placed on the mutual influence of dynamically changing parameters (concentrations of components and the temperature of the melt) on processes of formation and growth of crystal clusters of various phases in a supercooled melt. A mathematical description is obtained. The equations of the mathematical model are used to calculate nucleation and growth of crystal clusters in Fe-B melt at various initial concentrations of components and different supercooling. This allowed to receive new in-formation about nucleation and crystallization eutectic melts.
Author Biographies
Aleksandr Dmitrievich Drozin, South Ural State University
Dr. Sc. (Engineering), Professor, Head of the Mathematical Analysis Department, Head of the Faculty of Mathematics and Mechanics
Maksim Vladimirovich Dudorov, South Ural State University
Cand. Sc. (Engineering), Pyrometallurgical Processes Department
Vasiliy Efimovich Roshin, South Ural State University
Dr. Sc. (Engineering), Professor, Head of the Pyrometallurgical Processes Department
Pavel Aleksandrovich Gamov, South Ural State University
Post-graduate Student, Pyrometallurgical Processes Department
Leonid Davidovich Menikhes, South Ural State University
Dr. Sc. (Physics and Mathematics), Professor, Head of Functional Analysis Department
