TEMPERATURE-TRANSFORMING MODEL FOR BINARY SOLID-LIQUID PHASE-CHANGE PROBLEMS PART I: MATHEMATICAL MODELING AND NUMERICAL METHODOLOGY

Abstract The objective of this work is to develop a new temperature-transforming model for the treatment of binary solid-liquid phase-change problems. The essential feature of the proposed model is the separation of the coupled effects of temperature and concentration on the latent heat evolution in the energy equation. That is, the latent heat evolution due to temperature variation is accounted for by the definition of an effective heat coefficient, while latent heat evolution owing to the concentration variation is accounted for by a source term. The main advantages of this model include direct treatment of the coupling relations among temperature, concentration, and liquid fraction, and the improvement of numerical stability by the definition of the effective heat coefficient.

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