Mathematical Description of the Nucleation in Supercooled Eutectic Melt

Authors

  • Aleksandr Dmitrievich Drozin Author
  • Maksim Vladimirovich Dudorov Author
  • Vasiliy Efimovich Roshin Author
  • Pavel Aleksandrovich Gamov Author
  • Leonid Davidovich Menikhes Author

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
    Dr. Sc. (Engineering), Professor, Head of the Mathematical Analysis Department, Head of the Faculty of Mathematics and Mechanics
  • Maksim Vladimirovich Dudorov
    Cand. Sc. (Engineering), Pyrometallurgical Processes Department
  • Vasiliy Efimovich Roshin
    Dr. Sc. (Engineering), Professor, Head of the Pyrometallurgical Processes Department
  • Pavel Aleksandrovich Gamov
    Post-graduate Student, Pyrometallurgical Processes Department
  • Leonid Davidovich Menikhes
    Dr. Sc. (Physics and Mathematics), Professor, Head of Functional Analysis Department

Published

2012-04-11

Issue

2012: № 11(270), issue 6

Section

Physics