On the theory of ternary melt crystallization with a non-linear phase diagram

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

材料科学;计算机科学

Toropova, L.V.^1 ; Dubovoi, G Yu^1 ; Alexandrov, D.V.^1

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

620000, Russia^1

关键词: Heat and mass transfer;    Liquidus;    Melt crystallization;    Mushy region;    Non linear;    Steady state;    Unidirectional solidification;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/192/1/012007/pdf
DOI  :  10.1088/1757-899X/192/1/012007

来源: IOP

【 摘 要 】

The present study is concerned with a theoretical analysis of unidirectional solidification process of ternary melts in the presence of a phase transition (mushy) layer. A new analytical solution of heat and mass transfer equations describing the steady-state crystallization scenario is found with allowance for a non-linear liquidus equation. The model under consideration takes into account the presence of two phase transition layers, namely, the primary and cotectic mushy regions. We demonstrate that the phase diagram nonlinearity leads to substantial changes of analytical solutions.