Effect of Anisotropic Interface Kinetics on the Interface Morphology of Spherical Crystal

Abstract

To study the effect of anisotropic interface kinetics on the solid-liquid interface of spherical crystal growing in the undercooled melt, we first constructed a three-dimensional expression of anisotropic interface kinetics with orthorhombic symmetry. The mathematical model of the growing interface was solved by multiple scale method. Through the solution of the mathematical model, we showed that there is an initial inward growth of the interface if the anisotropic interface kinetics coefficient is large enough. Besides, the anisotropic interface kinetics inhibits the growth of the crystal, decelerates the growth rate of the interface except for some special cases, and decreases the temperature of solid, liquid phase and the interface.