Diffusion-limited layer growth in spherical geometry: A numerical approach

Abstract

In this article we present a detailed numerical analysis of the problem of diffusion-controlled growth of a solid intermediate phase from two saturated solutions (solid solute and solid or liquid solvent). Spherical geometry is considered and the quasi-steady-state approximation used in earlier analytical models is eliminated. Comparison between our results and those from Larson’s model allows us to conclude that the use of a numerical scheme may lead to a significant gain in accuracy except when a solute-rich sphere is converting into a dilute phase.