Skip to main content
SpringerLink
Log in

Structure of a gasdynamic disturbance in a thermodynamically nonequilibrium medium with a power-law relaxation model

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The evolution and the steady-state structure of gasdynamic disturbances in a thermodynamically nonequilibrium gas are investigated both analytically and numerically. It is shown that in a medium with negative viscosity steady-state structures different from those in an equilibrium medium can exist. The conditions of existence of stationary shock waves with a discontinuous front and a smooth increase or decrease in the amplitude behind the front, waves with an oscillatory structure, and a stationary self-wave pulse with a power-law trailing front are determined.

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

REFERENCES

  1. E. Ya. Kogan N. E. Molevich (1986) ArticleTitleCollapse of acoustic waves in a nonequilibrium molecular gas Zh. Tekhn. Fiz. 56 941

    Google Scholar 

  2. N. E. Molevich A. N. Oraevskii (1988) ArticleTitleBulk viscosity in thermodynamically nonequilibrium media Zh. Eksp. Teor. Fiz. 94 IssueID3 128 Occurrence Handle1988ZhETF..94..128M

    ADS  Google Scholar 

  3. N. E. Molevich A. N. Oraevskii (1992) ArticleTitleWaves in a medium with negative bulk viscosity Tr. FIAN 222 45

    Google Scholar 

  4. I. P. Zavershinskii E. Ya. Kogan N. E. Molevich (1991) ArticleTitleMechanism of sound amplification in a weakly ionized gas Zh. Eksp. Teor. Fiz. 100 IssueID8 422

    Google Scholar 

  5. A. I. Osipov A. V. Uvarov (1992) ArticleTitleKinetic and gasdynamic processes in nonequilibrium molecular physics Usp. Fiz. Nauk 162 IssueID11 1 Occurrence Handle10.3367/UFNr.0162.199211a.0001

    Article  Google Scholar 

  6. I. P. Zavershinskii E. Ya. Kogan N. E. Molevich (1992) ArticleTitleAcoustic waves in a partially ionized gas Akust. Zh. 38 702

    Google Scholar 

  7. V. N. Malnev and A. V. Nedospasov, “About some peculiarities of streamline of bodies by flows of vibration nonequilibrium gases,” in: Proc. I st Intern. Workshop, Perspectives of MHD and Plasma Technologies in Aerospace Application. Moscow, Russia: IVTAN, 1999 (1999), p. 128.

  8. N. E. Molevich “Asymptotic analysis of the stability of a plane-parallel compressible relaxing boundary layer” Izv. Ross. Akad. Nauk, Mekh. Zhidk. Gaza,No.5, 82 (1999)

    Google Scholar 

  9. N. E. Molevich V. E. Nenashev (2000) ArticleTitleBulk viscosity effect on sound propagation in nonequilibrium suspensions of microparticles in gases Akust. Zh. 46 520

    Google Scholar 

  10. N. E. Molevich (2003) ArticleTitleDispersion of the speed of sound and bulk viscosity in media with nonequilibrium chemical reactions Akust. Zh. 49 229

    Google Scholar 

  11. O. V. Rudenko S. I. Soluyan (1975) Theoretical Foundations of Nonlinear Acoustics Nauka Moscow

    Google Scholar 

  12. E. N. Pelinovskii V. E. Fridman (1974) ArticleTitleExplosive instability of nonlinear waves in media with negative viscosity Prikl. Mat. Mekh. 38 991

    Google Scholar 

  13. A. A. Borisov (1976) Long-wave disturbances in reacting media Studies in Hydrodynamics and Heat Transfer USSR Academy of Sciences, Siberian Branch, Institute of Theoretical Physics Novosibirsk 94

    Google Scholar 

  14. P. S. Landa (1997) Nonlinear Oscillations and Waves Nauka-Fizmatlit Moscow

    Google Scholar 

  15. E. Ott W. M. Manheimer D. L. Book J. P. Boris (1973) ArticleTitleModel equation for mode coupling saturation in unstable plasmas Phys. Fluids 16 855 Occurrence Handle1973PhFl...16..855O

    ADS  Google Scholar 

  16. M. I. Rabinovich A. L. Fabrikant (1976) ArticleTitleNonlinear waves in nonequilibrium gases Izv. Vuzov. Radiofizika 19 721 Occurrence Handle1976RaF....19..721R

    ADS  Google Scholar 

  17. A. A. Borisov (1985) Thermodynamics of finite-amplitude waves in real media Self-abstract of thesis submitted for the degree of Doctor of Sciences USSR Academy of Sciences, Siberian Branch, Institute of Theoretical Physics Novosibirsk

    Google Scholar 

  18. K. V. Krasnobaev and V. Yu. Tarev “Small-amplitude nonlinear waves in a dissipative gas with excess vibrational energy,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza..No 2, 151 (1990)

  19. N. E. Molevich (2001) ArticleTitleOn the breakdown formation length in an acoustically active medium Zh. Tekhn. Fiz. 71 IssueID12 83

    Google Scholar 

  20. V. G. Makarian and N. E. Molevich, “Stationary high-frequency structures in vibrationally excited gas,” in: Contrib. Papers. 5 th Intern. School-Seminar Nonequilibrium Processes and Their Applications: Minsk, Belarus, 2000, Minsk (2000), p. 20.

  21. N. E. Molevich “Nonlinear equations in the theory of media with negative bulk viscosity,” Sib. Fiz.-Tekhn. Zh., No. 1 133 (1991)

  22. E. Ya. Kogan N. E. Molevich (1993) ArticleTitleRarefaction shock waves in a nonequilibrium vibrationally excited gas Akust. Zh. 39 951

    Google Scholar 

  23. N. E. Molevich (2001) ArticleTitleSound amplification in nonuniform nonequilibrium gas flows Akust. Zh. 47 119

    Google Scholar 

  24. G. A. Ostroumov (1969) Foundations of Nonlinear Acoustics Leningrad Univ. Press Leningrad

    Google Scholar 

  25. L. D. Landau E. M. Lifshitz (1959) Fluid Mechanics Pergamon London

    Google Scholar 

Download references

Authors
  1. V. G. Makaryan
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. E. Molevich
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, 2004, pp. 181–191. Original Russian Text Copyright © 2004 by Makaryan and Molevich.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Makaryan, V.G., Molevich, N.E. Structure of a gasdynamic disturbance in a thermodynamically nonequilibrium medium with a power-law relaxation model. Fluid Dyn 39, 836–845 (2004). https://doi.org/10.1007/s10697-005-0018-3

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10697-005-0018-3

Keywords

Search

Navigation