Mathematical modeling and numerical simulation of the formation and growth of a two-phase layer during diffusion in ternary system

A system of partial differential equations was derived to describe diffusion in the two-phase region of a ternary alloy by assuming that the mixture concentration in an infinitesimally small volume can be changed by external fluxes over the boundaries of this volume. A numerical procedure was developed for solving the system of partial differential equation (PDE) and treating the problem with the moving boundaries between various single-phase or two-phase layers. The mathematical model was applied for numerical simulation of the formation and growth of the single-phase and two-phase layers, developed in ternary alloy specimen, through diffusion from the surface to the core.