Analysis for free dendritic growth model incorporating the nonisothermal nature of solid–liquid interface

Considering the nonisothermal nature of the solid–liquid interface due to interface curvature and interface kinetics, a nonisothermal free dendritic growth model is proposed, by introducing marginal stability theory. Comparative analysis on the present nonisothermal model and the corresponding isothermal model demonstrates that the effect of nonisothermal solid–liquid interface is significant and it should be taken into account in modeling free dendritic growth. Furthermore, the present model provides a satisfactory agreement with the available experimental data.