Effect of trapping on hydrogen permeation

  • George R. Caskey
  • William L. Pillinger
Transport Phenomena
  • 213 Downloads

Abstract

Approximate solutions were obtained to the nonlinear partial differential equations derived by A. McNabb and P. K. Foster for a general model of diffusion-plus-trapping. The finite-difference method was applied to their equations for boundary conditions appropriate to hydrogen permeation and evolution in a plane. Solutions are shown to be stable and to converge to the exact solutions in certain limiting cases. The effect of trapping on hydrogen permeation and evolution was explored for a range of parameter values from computer generated tables of concentrations of diffusing and trapped hydrogen. General characteristics of the transient stages of permeation in the presence of trapping are inferred from the results.

References

  1. 1.
    J. Crank:The Mathematics of Diffusion, Clarendon Press, Oxford, 1956.MATHGoogle Scholar
  2. 2.
    R. M. Barrer:Diffusion In and Through Solids, University Press, Cambridge, 1941.Google Scholar
  3. 3.
    M. A. V. Devanathan and Z. Stachurski:Proc. Roy. Soc, 1962, vol. (1) 270, p. 90.ADSGoogle Scholar
  4. 4.
    W. Dresler and M. G. Frohberg:Z. Metallk., 1972, vol. 63, p. 204.Google Scholar
  5. 5.
    G. Perkins and D. R. Begeal:J Chem. Phys., 1971, vol. 54, p. 1683.CrossRefADSGoogle Scholar
  6. 6.
    W. J. Kass and W. J. Andrzejewski: Sandia Lab Report SC-DR-72 0136, 1972.Google Scholar
  7. 7.
    R. Ash and R. M. Barrer:Phil. Mag., 1953, vol. 4, p. 1197.CrossRefADSGoogle Scholar
  8. 8.
    S. Harper, V. A. Calicut, D. W. Townsend, and P. Eborall:J Inst. Metals, 1961-62, vol. 90, p. 414.Google Scholar
  9. 9.
    L. S. Darken and R. P. Smith:Corrosion, 1949, vol. 5, p. 1.Google Scholar
  10. 10.
    R. A. Oriani:Acta Met., 1970, vol. 18, p. 147.CrossRefGoogle Scholar
  11. 11.
    H.H. Gaus:Z. Naturforsch., 1965, vol. 20A, p. 1298.ADSGoogle Scholar
  12. 12.
    P. V. Danckwerts:Trans. Faraday Soc, 1951, vol. 47, p. 1014.CrossRefGoogle Scholar
  13. 13.
    A. McNabb and P. K. Foser:Trans. TMS-AIME, 1963, vol. 227, p. 618.Google Scholar
  14. 14.
    P. K. Foster, A. McNabb, and C. M. Payne:Trans. TMS-AIME, 1965, vol. 233, p. 1022.Google Scholar
  15. 15.
    R. D. Richtmyer:Difference Methods for Initial-Value Problems, 2nd Ed., Interscience Publishers, New York, 1967.MATHGoogle Scholar
  16. 16.
    T. K. Govindan Namboodhiri and L. Nanis:ActaMet., 1973, vol. 21, p. 663.Google Scholar

Copyright information

© American Society for Metals, The Melallurgical Society of AIME 1975

Authors and Affiliations

  • George R. Caskey
    • 1
  • William L. Pillinger
    • 1
  1. 1.Savannah River LaboratoryE. I. du Pont de Nemours & Co.Aiken

Personalised recommendations