Numerical simulation of isothermal dendritic growth by phase-field model

The phase-field model is applied to simulate microstructural evolution during isothermal dendritic growth of the delta-phase in undercooled Fe-C liquid. The parameters of phase-field equation are determined by a thin interface limit condition. Realistic dendritic structures at various temperatures and compositions of the alloy can be obtained using the phase-field model with the thin interface limit condition. The calculated results show Various solidification features consistent with our experience. The calculated tip radius, the velocity and the concentration at the interface are compared with the predicted values from the conventional dendritic growth theory using Ivantsov solution and marginal stability criterion.