Advertisement

Wake structure in high-speed flow of a rarefied plasma over a body

  • S. I. Anisimov
  • Yu. V. Medvedev
  • L. P. Pitaevskii
Article

Abstract

In the study of qualitative features of flow of a rarefied plasma over bodies in ionospheric aerodynamics, the problem of flow behind a two-dimensional plate is often considered. The formulation of this problem and its relation to flow over real objects was considered in detail in [1], This model problem has been analyzed in a number of papers using two main approaches: description of the flow with the help of the similarity solution found in [2, 3], and numerical solution of the equations of plasma motion [4–7]. A review of the main results obtained by the two methods can be found in [1, 6]. This paper gives a numerical solution of the problem of transverse supersonic flow over a flat plate. The plasma is assumed to be collisionless and is described by the kinetic equation with a self-consistent field. The particle-in-cell method is used to solve the kinetic equation. In contrast with most numerical calculations previously performed [4–6], the present paper considers the case, of greater practical interest, of flow over a body whose dimension R is much greater than the Debye radius Di in the unperturbed plasma. Practically all the known results for this case have been obtained using the similarity solution [2, 3], which is not valid, however, in the entire region of unperturbed flow, and therefore does not give a complete solution to the problem. Individual numerical calculations (see [7]) do not add much to the similarity analysis, since they refer to a very narrow range of the flow parameters. The main emphasis in the present paper is the study of wake structure behind a flat plate and plasma instability in the wake. The computations were performed in a wide range of variation of the ratioβ=Te/Ti, and one can follow the processes of ion acceleration, interaction of the accelerated group of ions with the plasma, development of beam-type instability [1, 8], and formation and decay of the turbulent wake. The qualitative wake structure features discussed below are also found, of course, in plasma flow over actual three-dimensional bodies.

Keywords

Kinetic Equation Flat Plate Plasma Flow Supersonic Flow Similarity Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Literature cited

  1. 1.
    A. V. Gurevich, L. P. Pitaevskii, and V. V. Smirnova, Ionosf. Aerodin.-Usp. Fiz. Nauk,99, No, 1 (1969).Google Scholar
  2. 2.
    A. V. Gurevich, L. V. Pariiskaya, and L. P. Pitaevskii, “Similarity motion of a rarefied plasma,” Zh. Eksp. Teor. Fiz.,49, No. 2(8) (1965).Google Scholar
  3. 3.
    A. V. Gurevich, L. V. Pariiskaya, and L. P. Pitaevskaya, “Similarity motion of a rarefied plasma. II,” Zh. Eksp. Teor. Fiz.,54, No. 3 (1968).Google Scholar
  4. 4.
    M. V. Maslennikov and Yu. S. Sigov, “A discrete mass model in rarefied plasma flow over bodies,” Dokl. Akad. Nauk SSSR,159. No. 5 (1964).Google Scholar
  5. 5.
    S. G. Alikhanov, V. G. Belan, G. N. Kichigin, and P. Z. Chebotaev, “Expansion of plasma into vacuum and flow of a collisionless plasma over a plate,” Zh. Eksp. Teor. Fiz.,59, No. 6 (1970).Google Scholar
  6. 6.
    M. V. Maslennikov, Yu. S. Sigov, I. N. Fadeev, and G. P. Churkina, “Two-dimensional problem of formation of the perturbed zone in supersonic flow of a rarefied plasma over a body,” Preprint No. 81, IPM Akad. Nauk SSSR, Moscow (1974).Google Scholar
  7. 7.
    V. Liu and H. Jew, Rarefied Gas Dynamics (edited by C. L. Brudin), New York (1967).Google Scholar
  8. 8.
    A. V. Gurevich and L. P. Pitaevskii (Pitaevsky), “Hypersonic body motion through rarefied plasma,” Phys. Rev. Lett.,15, No. 8 (1965).Google Scholar
  9. 9.
    S. I. Anisimov and Yu. V. Medvedev, “Kinetics of expansion of a plasma into vacuum,” Preprint of L. D. Landau Inst. Teor. Fiz. Akad. Nauk SSSR, Chernogolovka (1977).Google Scholar
  10. 10.
    W. D. Hayes and R. F. Probstein (editors), Hypersonic Flow Theory, Academic Press (1967).Google Scholar
  11. 11.
    P. Morse, “Modeling of a multidimensional plasma by means of the particlein-cell method,” in: Numerical Methods in Plasma Physics [Russian translation], Mir, Moscow (1974).Google Scholar

Copyright information

© Plenum Publishing Corporation 1979

Authors and Affiliations

  • S. I. Anisimov
    • 1
  • Yu. V. Medvedev
    • 1
  • L. P. Pitaevskii
    • 1
  1. 1.Moscow

Personalised recommendations