Thermal Kinetics Phase Field Model for the Metals' Solidification - Mathematic Derivation of the Dendrite Growth Phase Field Variable Diffusion Model

Abstract:

Phase field equations for simulation of dendritic growth have a history of nearly twenty years. The existing phase field equations are directly derived through the Ginzburg-Landau equations. However, though widely used, the physical meaning of each variable in the equations is not clear. So the domestic and foreign researchers have made a lot of mistakes and interpretation. In this paper, with the solid fraction as a phase field variables in the field, based on thermodynamics and heat transfer theory, author gives a rigorous scientific phase variable diffusion model of the pure metal solidification and its derivation process.

• Periodical: Applied Mechanics and Materials (Volume 364)
• Pages: 614-618
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.364.614
• Online since: August 2013
• Authors: Heng Min Ding, Lv Chun Pu
• Keywords: Dendritic Growth, Mathematic Derivation, Phase Field Variable Diffusion Model, Solidification

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