Evaluation of Lipton–Glicksman–Kurz Model for Free Dendritic Growth Under an Applied Electric Field

The present research investigates the ability of the Lipton–Glicksman–Kurz (LGK) model in predicting dendritic growth velocity under an applied electric field. In order to solve the LGK model, the stability criterion, σ*, was first calculated. It was found that σ* was not constant and was reduced by applying the electric field and decreasing the growth velocity. The decrease in the σ* means the increase in the possibility of formation of side branches in the dendrites as well as the hills in the interface. The growth velocities predicted by the model were less than those obtained experimentally. This could be due to the failure of the LGK model to consider convection. The results showed that, by changing the distribution coefficient, the accuracy of the model could increase. Despite some differences in the point-to-point comparison between the model results, the predicted general trend was correct.