Diffusion Coefficient Matrix in Ternary Diffusion Systems

Yu, Rui

Student Work

Diffusion Coefficient Matrix in Ternary Diffusion Systems Public

The diffusion coefficient matrix provides a direct relation between flux and concentration gradient for almost all of the diffusion process. This report focuses on the ternary diffusion. First, functions are generated for flux, concentration, and the derivative of concentration with respect to position. From there, the assumption that the diffusion coefficient is a constant in the small region was made. Based on this assumption, a system of equations was derived to calculate the diagonlized diffusion coefficient matrix. As for the element that contains an interface, special methods were introduced to overcome the discontinuity from the jump condition.

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