A thermodynamically consistent approach to modeling macroscopic solidification of binary systems

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.