Análise do processo de difusão atômica no estado sólido em sistemas unidirecionais e radiais

Abstract

In this work an analytical method is proposed to study diffusion pro¬cess in the solid state in binary systems consisting of only one phase with unidirectional, cylindrical and spherical atomic fluxo Initially a literature survey is carried out regarding some of the most important methods applied to diffusion process in these systems. The method is developed from the differential equation which treats this process in systems with unidirectional atomic flux, that is modified by geometric correlation and convenient changes of variables. The modified differential equation is solved by using a well known exact solution based on the error function and equations are obtained to analyse both the position of the diffusion interface as a function of time and the concentration profiles as a function of the position and time. The predictions furnished by the analytical method are compared with numerical results. A comparative study of diffusion process in planar, cylindrical and spherical geometries is ais o presented. Finally possible applications of the proposed method to the solution of practical problems are discussed.