Density Effects and Fluid Flow in Phase-field Models
In this paper we discuss a method to incorporate hydrodynamic effects into phase-field models for the solidification of both pure substances and binary alloys. We start from a generalised thermodynamic potential with squared gradient terms for the associated fields; the condition of local positive entropy production is then utilised to derive a set of equations which drive the system towards equilibrium. The models are numerically solved in one dimension; the effects of the flow field on the growth dynamics are presented and discussed.
KeywordsEntropy Production Pure Substance Density Effect Gradient Term Diffusive Regime
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