Paper Title:
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.

  Info
Periodical
Defect and Diffusion Forum (Volumes 233-234)
Edited by
David J. Fisher
Pages
15-28
DOI
10.4028/www.scientific.net/DDF.233-234.15
Citation
A. Benmakhlouf, "Analytical Studies of Diffusion by the Dissociative Mechanism in the Case of a Foreign Atom Source", Defect and Diffusion Forum, Vols. 233-234, pp. 15-28, 2004
Online since
December 2004
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Price
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