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A thermodynamically consistent approach to modeling macroscopic solidification of binary systems
Korobeynikov S. A.
1, Korobeynikov D. M.1,2, Lebedev V. G.
1
1Udmurt Federal Research Center, Ural Branch Russian Academy of Sciences, Izhevsk, Russia
2Udmurt State University, Izhevsk, Russia
2Udmurt State University, Izhevsk, Russia
Email: sa.korobeynikov@yandex.ru, dimakor-12@mail.ru, lvg@udman.ru
A thermodynamically consistent macroscopic model of solidification of a binary system is hereby proposed. This model is based on the description of the evolution of the volume fraction as an advective quantity with a source. The system of equations is derived from the total entropy functional, thereby ensuring consistency between heat transfer, diffusion, and phase transformation. Numerical simulation for the Al-Mg system demonstrated congruence with the experimental DTA curve, thereby substantiating the model's viability for macroscale depiction and prediction of solidification processes. Keywords: solidification, binary systems, non-equilibrium thermodynamics, solidification kinetics.
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