Skip to main content
SpringerLink
Log in

Transport phenomena in a nonequilibrium, partially ionized gas in a magnetic field

  • Published:
Journal of engineering physics Aims and scope

Abstract

A small-parameter method in which the gas and electron temperatures can be different is used to solve the Boltzmann equation. The zeroth-approximation solutions are Maxwellian with different temperatures Te and Ts. Transition to the BGK formalism on the basis of an extremely crude estimate of the frequency of electron collisions leads to numerical results which agree well with the available data. Then an extension of the Eucken method leads to analytic expressions for the nonequilibrium quasi-Lorentz transport coefficients.

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. H. Grad, “Theory of rarefied gases,” in: Rarefied Gas Dynamics (ed. F. M. Devienne), Pergamon, New York-London (1960).

    Google Scholar 

  2. T. F. Morse, Phys. Fluids,6, No. 10 (1963).

  3. E. A. Johnson, Phys. Fluids,16, No. 1 (1973).

  4. P. L. Bhatnagar, E. P. Gross, and M. Krook, Phys. Rev.,94, No. 3, 511 (1954).

    Google Scholar 

  5. G. W. Sutton and A. Sherman, Engineering Magnetohydrodynamics, McGraw-Hill, New York (1965).

    Google Scholar 

  6. L. Spitzer, Jr., and R. Harm, Phys. Rev.,89, 977 (1953).

    Google Scholar 

  7. R. S. Devoto, Phys. Fluids,10, No. 2 (1967).

  8. M. S. Sodha and Y. P. Varshni, Phys. Rev.,111, 1203–1205 (1958); “Dependence of electron mobility on magnetic field in a fully ionized gas,” Phys. Rev.,114, 946–947 (1959).

    Google Scholar 

  9. R. Landshoff, Phys. Rev.,76, 904 (1949).

    Google Scholar 

  10. A. Rucken, Physik Z.,14, 324 (1913); M. N. Kogan, Rarefied Gas Dynamics, Plenum, New York (1969), p. 216.

    Google Scholar 

  11. J.-P. Petit, Journal de Mécanique,11, No. 2, 233 (1972).

    Google Scholar 

  12. M. N. Kogan, Rarefied Gas Dynamics (Kinetic Theory) [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  13. S. Chapman and T. G. Cowling, Mathematical Theory of Nonuniform Gases, Cambridge Univ. Press (1953).

  14. C. Cercignani, Mathematical Methods in Kinetic Theory, Macmillan, New York (1969).

    Google Scholar 

  15. T. F. Morse, Phys. Fluds,7, No. 2, 159–169 (1964).

    Google Scholar 

  16. R. M. Chmielski and J. H. Ferziger, Phys. Fluids,10, No. 2 (1967).

Download references

Author information

Authors and Affiliations

  1. Laboratoire de Dynamique des Systèmes Réactifs, Université de Provence, Centre de St. Jérôme, Marseille, France

    Jean -Pierre Petit & Michel Larini

Authors
  1. Jean -Pierre Petit
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Michel Larini
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-FizicheskiiZhurnal, Vol. 26, No. 5, pp. 914–929, May, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Petit, J.P., Larini, M. Transport phenomena in a nonequilibrium, partially ionized gas in a magnetic field. Journal of Engineering Physics 26, 641–652 (1974). https://doi.org/10.1007/BF00826010

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00826010

Keywords

Search

Navigation