GEOMETRIC STABILITY OF A CYLINDRICAL NUCLEUS GROWING IN A SUPERSATURATED SOLUTION

Abstract

The geometric stability of a cylindrical particle undergoing radial growth in a supersaturated solution is studied by employing the time-dependent diffusion equations. In this paper, the perturbation technique is used to investigate the stability of shape. The perturbations in θ-and z-directions are both considered. The stability region for considering perturbation in z-direction is a special case of that for considering perturbation in θ- and z-directions. It was found that the stability boundary in the absolute sense and in the relative sense depends upon the growth of the moving solid-liquid interface and the degree of supersaturation.