Skip to main content
SpringerLink
Log in

Nonlinear gas oscillations in a closed tube driven by the aperiodic motion of a piston

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Nonlinear gas oscillations in a closed tube driven by the aperiodic motions of a piston as a result of the action of the external and internal pressure drop are studied. The external pressure takes two values alternating at the moment of change of direction of motion of the piston. Two models of the motion of the gas are considered. Model 1 is formed by a system of equations representing the mass, momentum, and entropy conservation laws. As distinct from model 1, model 2 includes the total energy conservation law in place of the entropy conservation laws.

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. Sh. U. Galiev and T. Sh. Galiev, “Linear and discontinuous forced oscillations of a bubbly liquid flow in a deformable pipeline (review)“,Probl. Prochn., No. 9, 3 (1994).

  2. M. A. Ilgamov, R. G. Zaripov, R. G. Galiullin, and V. B. Repin, “Nonlinear oscillation of a gas in a tube,”Appl. Mech. Rews.,49, No. 3, 137 (1996).

    Article  Google Scholar 

  3. S. A. Egorushkin and A. N. Troshko, “Non-resonance highly nonlinear gas oscillation in tubes,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 4, 150 (1994).

  4. A. A. Aganin and M. A. Il’gamov, “Numerical simulation of gas oscillations and flows generated by wave resonators,” inProc. Intern. Conf. Methods Aerophys. Res., Vol. 1, Novosibirsk (1994), p. 3.

  5. A. A. Aganin, M. A. Il’gamov, and E. T. Smirnova, “Development of longitudinal gas oscillations in a closed tube,”J. Sound and Vibrat.,195, 359 (1996).

    Article  ADS  Google Scholar 

  6. R. G. Zaripov and M. A. Ilgamov, “Non-linear gas oscillations in a pipe,”J. Sound and Vibrat.,46, 245 (1976).

    Article  ADS  Google Scholar 

  7. R. I. Nigmatulin, V. Sh. Shagapov, N. K. Vakhitova, and R. T. Lekhi, “Method of ultrahigh compression of a gas bubble in a liquid by means of aperiodic vibrational action of pressure of moderate amplitude,”Dokl. Ros. Akad. Nauk,341, 37 (1995).

    Google Scholar 

Download references

Authors
  1. A. A. Aganin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. M. A. Il’gamov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Kazan’. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 134–142, March–April, 1998.

The work was carried out with partial support from the Russian Foundation for Fundamental Research (project No. 96-01-00484).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aganin, A.A., Il’gamov, M.A. Nonlinear gas oscillations in a closed tube driven by the aperiodic motion of a piston. Fluid Dyn 33, 264–271 (1998). https://doi.org/10.1007/BF02698711

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02698711

Keywords

Search

Navigation