Skip to main content
Log in

On Knudsen flows within thin tubes

  • Articles
  • Published:
Journal of Statistical Physics Aims and scope Submit manuscript

Abstract

The dynamics of a test particle in an infinite tube is investigated. It is proven that the evolution tends to that of a diffusion process as the radius of the tube decreases to zero. This justifies the hypotheses underlying an experiment of Clausing (1930).

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. P. Clausing,Ann. Phys. 7:489 (1930).

    Google Scholar 

  2. G. Armand,Le Vide 125:408 (1966).

    Google Scholar 

  3. R. Gorenflo, M. G. Pacco, B. M. U. Scherzer,Zeit. angew. Phys. 22:500 (1967).

    Google Scholar 

  4. C. Willrich, “Monte-Carlo-Simulation der Anlaufströmung eines Knudsen-Gases unter Berücksichtigung der Wandhaftzeit”, Diploma thesis, University of Heidelberg (1980).

  5. D. C. Pack and K. Yamamoto,Progress in Astronautics and Aeronautics, Rarefied Gas Dynamics, J. L. Potter, ed., vol.51 (AIAA, New York, 1977), 247.

    Google Scholar 

  6. D. C. Pack and K. Yamamoto, 11th Symposion on Rarefied Gas Dynamics, Cannes 1978, R. Campargue (ed.), Vol. 1, 207, Paris (1979).

  7. H. Babovsky,Transp. Theory Stat. Phys. 13:455 (1984).

    Google Scholar 

  8. P. Billingsley,Convergence of Probability Measures (John Wiley & Sons, New York, 1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Dedicated to Professor D. C. Pack.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babovsky, H. On Knudsen flows within thin tubes. J Stat Phys 44, 865–878 (1986). https://doi.org/10.1007/BF01011911

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01011911

Key words

Navigation