Skip to main content
SpringerLink
Log in

Unsteady-state flow of a gas in a channel, resulting from the motion of a piston, with magnetohydrodynamic offtake of energy and luminescence of the gas

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The present paper discusses the one-dimensional unsteady-state flow of a gas resulting from the motion of a piston in the presence of weak perturbing factors, with which the investigation of the perturbed (with respect to the usual self-similar conditions) motion reduces to the solution of ordinary differential equations, is indicated. The distributions of the parameters of the gas between the piston and the shock wave are found. The conditions under which there is acceleration or slowing down of the shock front are clarified. As an example, this paper considers the unsteady-state motion of a conducting gas in a channel with solid electrodes under conditions where electrical energy is generated, and the flow of a gas taking radiation into account, under the assumption of optical transparency of the medium. The theory developed is used to solve the problem of the motion of a thin wedge with a high supersonic velocity in an external axial magnetic field, taking account of the luminescence of the layer of heated gas between the wedge and the shock wave.

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. G. B. Whitman, “Some comments on wave propagation and shock wave structure with applications to magnetohydrodynamics,” Commun. Pure and Appl. Math.,12. No. 1, 113–158 (1959).

    Google Scholar 

  2. V. P. Karlikov and V. P. Korobeinikov, “The motion of a flat piston in a medium of finite conductivity, taking account of the effect of an electromagnetic field,” Prikl. Matern i Mekhan.,26, No. 5, 970–972 (1962).

    Google Scholar 

  3. V. P. Korobeinikov and E. V. Ryazanov, “The effect of a magnetic field on the propagation of plane and cylindrical shock waves,” Prikl. Mekhan. i Tekhn. Fiz., No. 1, 47–51 (1962).

    Google Scholar 

  4. V. P. Korobeinikov, “One-dimensional self-similar motions of a conducting gas in a magnetic field,” Dokl. Akad. Nauk SSSR,121, No. 4, 613–615 (1958).

    Google Scholar 

  5. V. P. Korobeinikov, “One-dimensional motions of a gas in a magnetic field, accompanied by shock waves,” Prikl. Mekhan. i Tekhn. Fiz., No. 2, 47–53 (1960).

    Google Scholar 

  6. P. P. Volosevich and E. I. Levanov, “One-dimensional self-similar motions of a heat-conducting conducting gas in a magnetic field,” Zh. Vychislit. Matem. i Matem. Fiz.,5, No. 6, 1096–1106 (1965).

    Google Scholar 

  7. P. P. Volosevich and E. I. Levanov, “The self-similar problem of the motion of a flat piston in a heat-conducting gas in the presence of a frozen magentic field,” in: Numerical Methods of Solving the Problems of Mathematical Physics [in Russian], Izd. Nauka, Moscow (1966), pp. 87–102.

    Google Scholar 

  8. P. P. Volosevich, “Motion of a gas ahead of a piston in a magnetic field in the case of nonlinear heat conductivity and conductivity,” in: Numerical Methods of Solving the Problems of Mathematical Physics [in Russian], Izd. Nauka, Moscow (1966). pp. 103–112.

    Google Scholar 

  9. V. A. Levin, “Distribution of detonation waves in electrical and magnetic fields,” Report No. 972 of the Scientific-Research Institute for Mechanics, Moscow State University (1969).

  10. J. Rosciszewski and A. K. Oppenheim, “Shock interaction with an electromagnetic field,” Phys, Fluids,6, No. 5, 689–698 (1963).

    Google Scholar 

  11. H. Mirels and W. H. Braun, “Perturbed one-dimensional unsteady flows including transverse magnetic field effects,” Phys. Fluids,5, No. 3, 259–265 (1962).

    Google Scholar 

  12. Ya. B. Zel'dovich and Yu. P. Raizer, The Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena [in Russian], 2nd edition, Izd, Nauka, Moscow (1966).

    Google Scholar 

  13. V. N. Zhigulev, E. A. Romishevskii, and V. K. Vertushkin, “The role of radiation in modern questions of gas dynamics,” Inzh. Zh.,1, No. 1, 60–83 (1961).

    Google Scholar 

  14. G. G. Chernyi, Flow of a Gas with a High Supersonic Velocity [in Russian], Izd. Fizmatgiz (1959).

Download references

Author information

Authors and Affiliations

  1. Moscow

    A. B. Vatazhin

Authors
  1. A. B. Vatazhin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 5, pp. 17–25, September–October, 1970.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vatazhin, A.B. Unsteady-state flow of a gas in a channel, resulting from the motion of a piston, with magnetohydrodynamic offtake of energy and luminescence of the gas. Fluid Dyn 5, 726–733 (1970). https://doi.org/10.1007/BF01017287

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01017287

Keywords

Search

Navigation