Abstract
The phase field model is developed by the effective mobility approach to slow and rapid solidification. The phase field model equations are reduced to the hodograph equation for solid-liquid interface movement which is applied to the problem of solute trapping in a binary alloy. A specific method based on the one-point Cauchy problem is developed for solution of the hodograph equation with the solute diffusion equation. The method is tested in comparison with the rapid solidification of Si–0.1 at.% As alloy previously analyzed experimentally and using phase field modelling.
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Salhoumi, A., Alexandrov, D.V. & Galenko, P.K. Solute trapping phenomenon in binary systems and hodograph-equation within effective mobility approach. Eur. Phys. J. Spec. Top. 229, 2911–2921 (2020). https://doi.org/10.1140/epjst/e2020-000050-1
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DOI: https://doi.org/10.1140/epjst/e2020-000050-1