Mathematical Description of Crystallization by the Virtual Volume Method
Authors
Maksim Vladimirovich Dudorov
South Ural State University
Aleksandr Dmitrievich Drozin
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, growth model
Abstract
Using the virtual volume method, a mathematical description of the crystallization of multi-component metallic melts is obtained. Model takes into account the effects of dynamically changing parameters such as component concentrations and temperature, on the processes of nucleation and growth of the nuclei.
Author Biographies
Maksim Vladimirovich Dudorov, South Ural State University
Cand. Sc. (Engineering), Pyrometallurgical Processes Department
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
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
