On the theory of self-similar phase transitions with a mushy layer

[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.

[发布机构] Department of Theoretical and Mathematical Physics, Laboratory of Multi-Scale Mathematical Modeling, Ural Federal University, Ekaterinburg; 620000, Russia^1

[效力级别] 计算机科学

[关键词] Crystallization process;Crystallization regimes;Directional crystallization;Scaling relations;Self-similar process;Solidification mode;Spatial coordinates;Time dependent