Abstract
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.
Highlights
Solidification processes of binary and multicomponent melts frequently occur in the presence of a phase transition layer, which divides purely solid and liquid phases
If the latent heat compensates the system supercooling in part, crystallization process evolves in non-equilibrium manner
Mathematical models of these processes and their analytical solutions in binary melts and solutions were considered in some detail in previous studies for a linear form of the phase diagram
Summary
Solidification processes of binary and multicomponent melts frequently occur in the presence of a phase transition layer, which divides purely solid and liquid phases. The heat and mass transfer equations in the primary two-phase layer, where the phase transition undergoes the component A (χ = 1 − φA), can be expressed as
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