On the theory of self-similar phase transitions 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: Crystallization process;    Crystallization regimes;    Directional crystallization;    Scaling relations;    Self-similar process;    Solidification mode;    Spatial coordinates;    Time dependent;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/192/1/012017/pdf
DOI  :  10.1088/1757-899X/192/1/012017

来源: IOP

【 摘 要 】

It is well-known that directional crystallization processes frequently occur in unsteady-state manner. One of such time-dependent crystallization regimes is the self-similar process characterizing by the scaled combination between the spatial coordinate ξ (directed along the solidification axis) and time t. Such scaling relation usually establishes when the crystallization process is far from its initial stage t = 0. In this paper, we consider some approximate heuristic relations describing the self-similar solidification mode.