Analytical Studies of Diffusion by the Dissociative Mechanism in the Case of a Foreign Atom Source

A. Benmakhlouf

doi:10.4028/www.scientific.net/DDF.233-234.15

Paper Titles

Analytical Solution of Fick's Equations in the Case of Foreign Atom Diffusion in a Metallic Sample
p.1

Analytical Studies of Diffusion by the Dissociative Mechanism in the Case of a Foreign Atom Source
p.15

Metal Lattice Atomic Structure Characterization Using Mirage Effect Technique
p.29

Microstructure and Texture Evolution during Cold Rolling and Recrystallization of Ni₃Al Single Crystals
p.37

Breaking Atomic Bonds through Vibrational Mode Localization
p.49

The Kirkendall Plane in Binary Interdiffusion Systems
p.61

Recent Advances in Point Defect Studies Driven by Density Functional Theory
p.77

An Ab Initio Study of the Effects and Stability of Vacancies, Antisites and Small Radius Atoms (B, C, N and O) in the B2-FeAl Structure
p.87

Diffusion Process Simulations - An Overview of Different Approaches
p.97

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Analytical Studies of Diffusion by the Dissociative Mechanism in the Case of a Foreign Atom Source

Abstract:

The analytical treatment of dissociative diffusion by using the matched perturbation method given in the literature deals with a virtually infinite foreign-atom source producing a constant^concentration at the boundary. In this paper, a new mathematical model is developed for analysing the dissociative diffusion of the solute atoms in the case of finite-source conditions. The mathematical model combines the reaction-diffusion equations which govern solute atom diffusion by the dissociative mechanism and the boundary condition expressing the fact that the rate at which solute leaves the source is always equal to that at which it enters the sheet over the surface x=0. Solutions obtained by applying the matched perturbation method and their comparison with those of the numerical study are also presented in this paper.