Skip to main content
Log in

Thermal diffusion of hydrogen in zirconium with allowance for thermal stresses

  • Solids
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The thermal diffusion of hydrogen atoms in zirconium is studied with allowance for thermal stresses. As a mathematical model, a steady-state temperature in a hollow cylinder is considered. The logarithmic coordinate dependence of this temperature allows an exact analytical solution to be obtained for a diffusion kinetics problem. The results of a theoretical analysis can serve as a test example for studying mass transfer in systems with a more complex coordinate dependence of temperature.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. M. Vlasov and V. A. Zaznoba, Fiz. Tverd. Tela (St. Petersburg) 41, 64 (1999) [Phys. Solid State 41, 55 (1999)].

    Google Scholar 

  2. N. M. Vlasov, Dokl. Ross. Akad. Nauk 377, 464 (2001) [Dokl. Phys. 46, 219 (2001)].

    MATH  Google Scholar 

  3. N. M. Vlasov, A. S. Gontar’, and V. A. Zaznoba, Zh. Tekh. Fiz. 71(5), 63 (2001) [Tech. Phys. 46, 569 (2001)].

    Google Scholar 

  4. N. M. Vlasov and I. I. Fedik, Dokl. Ross. Akad. Nauk 382, 186 (2002) [Dokl. Phys. 47, 47 (2002)].

    MATH  Google Scholar 

  5. J. R. Manning, Diffusion Kinetics for Atoms in Crystals (Van Nostrand, New York, 1968; Mir, Moscow, 1971).

    Google Scholar 

  6. Ya. E. Geguzin and M. A. Krivoglaz, Migration of Macroscopic Inclusions in Solids (Metallurgiya, Moscow, 1971; Plenum, New York, 1973).

    Google Scholar 

  7. V. G. Levich, Yu. A. Vdovin, and V. A. Myamlin, Course of Theoretical Physics (Nauka, Moscow, 1971), Vol. 2 [in Russian].

    Google Scholar 

  8. V. M. Zhdanov, Secrets of Isotope Separation (MIFI, Moscow, 2004) [in Russian].

    Google Scholar 

  9. J. L. Waisman, G. Sines, and L. B. Robinson, Metall. Trans. 4, 291 (1973).

    Article  Google Scholar 

  10. C. Teodosiu, Elastic Models of Crystal Defects (Springer, Berlin, 1982; Mir, Moscow, 1985).

    Google Scholar 

  11. B. A. Kolachev, Hydrogen Brittleness of Metals (Metallurgiya, Moscow, 1985) [in Russian].

    Google Scholar 

  12. Kh. Vipf, in Hydrogen in Metals, Ed. by G. Alefeld and J. Vlkl (Springer, Berlin, 1978; Mir, Moscow, 1981), pp. 327–361.

    Google Scholar 

  13. S. P. Timoshenko and J. N. Goodier, Theory of Elasticity (McGraw-Hill, New York, 1970; Nauka, Moscow, 1979).

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to N. M. Vlasov.

Additional information

Original Russian Text © N.M. Vlasov, V.A. Zaznoba, 2009, published in Zhurnal Tekhnicheskoĭ Fiziki, 2009, Vol. 79, No. 5, pp. 49–53.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vlasov, N.M., Zaznoba, V.A. Thermal diffusion of hydrogen in zirconium with allowance for thermal stresses. Tech. Phys. 54, 651–655 (2009). https://doi.org/10.1134/S1063784209050077

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784209050077

PACS numbers

Navigation