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

[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.

[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] Analytical method;Binary melt;Crystallization process;Non-linear model;Phase-transition boundary;Self-similar;Unsteady state