Influences of Marangoni effect on solidification of curved interfaces with constant curvature

The asymptotic method and phase field simulation are applied to study the influences of variation of the surface tension with temperature on the movements of solid-liquid interfaces in the solidification process of spherical and cylindrical nuclei,respectively.Results indicate that Marangoni effect will increase the critical nucleation radius,slow up the movement of interface.The tip speed of dendrite decreases linearly with Marangoni number for melt without convection.The results of phase field simulation are qualitatively in accord with that of asymptotic method.