On the theory of unsteady-state crystallization with a mushy layer

International Conference "Structural and Phase Transformations in Materials: Theory, Computer Modelling and Experiment"

材料科学;计算机科学

Alexandrov, D.V.^1 ; Alexandrova, I.V.^1 ; Ivanov, A.A.^1

Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg

620000, Russia^1

关键词: Analytical method;    Binary melt;    Crystallization process;    Non-linear model;    Phase-transition boundary;    Self-similar;    Unsteady state;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/192/1/012003/pdf
DOI  :  10.1088/1757-899X/192/1/012003

来源: IOP

【 摘 要 】

The self-similar and unsteady-state crystallization processes of binary melts with a mushy layer are considered. Two analytical methods of solution of the mushy layer nonlinear model with the moving phase transition boundaries are detailed. The obtained analytical solutions are in good agreement with experimental data.