Morphological stability of a binary alloy during directional solidification: initial transient

Abstract

We consider directional solidification of a binary alloy during the initial transient period in which the interface velocity, concentration, and temperature gradients are changing with time. We introduce sinusoidal perturbations of the planar crystal-melt interface and numerically calculate the time evolution of these perturbations. The results for morphological instability are in good agreement with the Mullins and Sekerka analysis of the time-independent base state if the instantaneous values of the temperature gradient and solidification velocity are used in the analysis; the agreement increases with decreasing degree of instability.