Skip to main content
SpringerLink
Log in

Effect of single channels and slits on reactivity

  • Published:
Soviet Atomic Energy Aims and scope

Abstract

The change in reactivity due to the change in transport cross section in an inclusion in the form of a cylinder or a plain layer is expressed as a perturbation of the neutron ftux at some distance from the inclusion, where the diffusion approximation holds. By using the results of flux calculations in the layer mediunh and in the cylinder, a relation may be found between the change in reactivity and the characteristics of the inclusion (such as transport cross section, volume, shape, where it is located, etc.). The effect of shape shows up in the coefficients B‖ and B⊥ being different from unity. These same coefficients are what determine the average diffusion coefficients D⊥ and D‖, An interpolation formula is constructed for B⊥ based on the various limiting expressions.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature Cited

  1. D. Behrens, Proc. Phys. Soc.A 62, 607 (1949).

    Google Scholar 

  2. C. Carter, J. Nucl. Energy, parts A/B,15, No. 2/3, 76 (1961).

    Google Scholar 

  3. N. I. Laletin, Transactions of the Second International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958). Papers by Soviet scientists, Vol. 2 [in Russian] Atomizdat, Moscow (1959) page 634.

    Google Scholar 

  4. P. Benoist, Rapport S. P. M. No. 522 (1958).

  5. A. D. Galanin, Atomnaya Énergiya,9, No. 2, 89 (1960).

    Google Scholar 

  6. Ya. V. Shevelev and V. S. Osmachkin, Transactions of the Second International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1958). Papers by Soviet scientists, Vol. 2 [in Russian], Atomizdat, Moscow (1959) chapter 3, page 464.

    Google Scholar 

  7. D. Leslie, J. Nucl. Energy, parts A/B,16, 1 (1960).

    Google Scholar 

  8. Peshkhagen, Materials from the International Conference on the Peaceful Uses of Atomic Energy (Geneva, 1959). Vol. 5, Part IV, A. M. [in Russian] Academy of Sciences Press, USSR (1958) page 306.

    Google Scholar 

  9. E. Gritoph and R. Pearce, J. Nucl. Energy,4, 445 (1957).

    Google Scholar 

  10. J. Chernick and J. Kaplan, J. Nucl. Energy, 2, 41 (1955).

    Google Scholar 

  11. Ya. V. Shevelev, Atomnaya Énergiya,II, No. 3, 224 (1957).

    Google Scholar 

  12. C. Carter and R. Jarvis, J. Nucl. Energy, parts A/B,15, No. 2/3, 113 (1961).

    Google Scholar 

  13. L. Trlifai, Atomnaya Énergiya,II, No. 3, 231 (1957).

    Google Scholar 

Download references

Authors
  1. Ya. V. Shevelev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Atomnaya Énergiya, Vol. 14, No. 4, pp. 364–370, April, 1963.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Shevelev, Y.V. Effect of single channels and slits on reactivity. At Energy 14, 369–376 (1964). https://doi.org/10.1007/BF01114507

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01114507

Keywords

Search

Navigation