Compendium About Multicomponent Interdiffusion in Two Dimensions

Abstract

Interdiffusion between dissimilar solids can change the properties of joined materials. Although much work has been done to study experimentally and theoretically interdiffusion in one-dimensional (1-D) diffusion couples, studying interdiffusion in two-dimensional (2-D) or three-dimensional (3-D) solids remains a challenge. In this article, we report an experiment and develop a model to study interdiffusion in a multicomponent system of 2-D geometry. The results (concentration maps and profiles) are compared with data obtained by modeling and numerical simulations. It is assumed that the system satisfies Vegard’s rule and diffusion coefficients are composition dependent. To model the multidimensional diffusion with a drift, we take benefit of the concept of the drift potential. A nonlinear parabolic-elliptic system of strongly coupled differential equations is formulated and the implicit difference method, preserving Vegard’s rule, is applied in the simulations.

Validating the Nernst–Planck transport model under reaction-driven flow conditions using RetroPy v1.0

“…Numerical methods and solution techniques of the PNP equations are an ongoing research field (Flavell et al, 2014;Song et al, 2018;Shen and Xu, 2021;Liu and Maimaitiyiming, 2021;Yan et al, 2021;Liu et al, 2022;Zhang et al, 2022). Models similar to the PNP model also arise in modeling multicomponent interdiffusion of solids (Bożek et al, 2019), where the experimental comparison and the development of numerical methods are studied by Sapa et al (2020) and Bożek et al (2021).…”