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JOURNALS // Preprints of the Keldysh Institute of Applied Mathematics // Archive

Keldysh Institute preprints, 2016 125, 31 pp. (Mi ipmp2199)

This article is cited in 2 papers

Numerical study of ternary alloy crystallization in the cylindrical ampule

O. V. Shcheritsa, A. O. Gusev, O. S. Mazhorova


Abstract: The self-consistent model of multicomponent alloy crystallization in the cylindrical ampule was considered. The mathematical model accounts for the diffusion heat and matter transport in both solid and liquid phases, the movement of the crystallization front and heat exchange with the environment. The proposed model was used for numerical simulation of the crystallization process of ternary compound $\mathrm{A_xB_{1-x}C}$.

Keywords: Stefan problem; phase transition; mathematical modeling.

DOI: 10.20948/prepr-2016-125



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