Resonant oscillations of a gas in an open-ended tube in a weak turbulence regime

  • R. G. Galiullin
  • É. R. Galiullina
  • E. I. Permyakov
Article
  • 28 Downloads

Abstract

An analytical theory of resonant oscillations of a gas in an open-ended tube is developed. The gas flow in the tube is assumed to be turbulent. A model of gas flow near the open end of the tube is constructed. This model allows a boundary condition that is free of empirical parameters to be obtained. Theoretical results are in reasonable agreement with experimental data obtained by other authors.

Keywords

Velocity Fluctuation Tube Axis Weak Turbulence Resonant Oscillation Steady Turbulent Flow 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    R. G. Zaripov, “Nonlinear gas oscillations in an open-ended tube”,Akust. Zh.,23, No. 3, 378–383 (1977).ADSGoogle Scholar
  2. 2.
    R. G. Galiullin and G. G. Khalimov, “Gas oscillations in open-ended tubes”,Inzh.-Fiz. Zh.,37, No. 6, 1043–1050 (1979).Google Scholar
  3. 3.
    E. Stuhtrager and H. Thoman, “Oscillations of a gas in an open-ended tube near resonance”,ZAMP,37, 155–175 (1986).CrossRefADSGoogle Scholar
  4. 4.
    V. B. Repin, Yu. N. Novikov, and A. P. Dement'ev, “An experimental study of nonlinear oscillations of a gas in an open-ended tube”, in:Unsteady Problems of Mechanics (Collected scientific papers) [in Russian], No. 22, Izd. Kazan' Fiz.-Tekh. Inst., Kazan' (1989), pp. 103–110.Google Scholar
  5. 5.
    R. G. Galiullin and E. I. Permyakov, “The flow and heat transfer in an unsteady jet generated by high-amplitude oscillations of a gas”Inzh.-Fiz. Zh.,58, No. 5, 747–752 (1990).Google Scholar
  6. 6.
    R. G. Galiullin, I. P. Revva, and G. G. Khalimov, “Thermoacoustic effect in a resonant open-ended tube”,Inzh.-Fiz. Zh.,43, No. 4, 615–623 (1982).Google Scholar
  7. 7.
    J. J. Keller, “Resonant oscillations in open tubes”,ZAMP,28, 237–263 (1977).MATHCrossRefADSGoogle Scholar
  8. 8.
    W. Chester, “Resonant oscillations of a gas in an open-ended tube”,Proc. Roy. Soc. London,A377, 449–467 (1981).MATHMathSciNetADSCrossRefGoogle Scholar
  9. 9.
    B. L. Jensen, B. M. Sumer, and J. Fredsoe, “Turbulent oscillatory boundary layers at high Reynolds numbers”,J. Fluid. Mech.,206, 265–297 (1989).CrossRefADSGoogle Scholar
  10. 10.
    R. G. Galiullin, É. R. Galiullina, and E. I. Permyakov, “The boundary condition for resonant oscillations of a gas in an open-ended tube”, in:In-Chamber Processes in Energy Facilities, Jet Acoustics, and Diagnostics: Abstract VII Workshop (24–25 May, 1995, Kazan'), Kazan' (1995), pp. 75–77.Google Scholar
  11. 11.
    R. G. Galiullin and E. I. Permyakov “The effect of turbulence of high-amplitude gas oscillations in an open-ended tube”,Akust. Zh.,38, No. 1, 25–28 (1992).Google Scholar
  12. 12.
    R. G. Galiullin and E. I. Permyakov, “Resonant oscillations of a gas in a closed tube in the case of flow turbulization”,Akust. Zh.,39, No. 5, 946–949 (1993).Google Scholar
  13. 13.
    L. K. Zarembo and V. A. Krasil'nikov,Introduction to Nonlinear Acoustics [in Russian], Nauka, Moscow (1966).Google Scholar
  14. 14.
    B. M. Galitseiskii, Yu. A. Ryzhov, and E. V. Yakush,Thermal and Hydrodynamic Processes in Oscillatory Flows [in Russian], Mashinostroenie, Moscow (1977).Google Scholar
  15. 15.
    A. J. Reynolds,Turbulent Flows in Engineering, Wiley and Sons, London (1974).Google Scholar
  16. 16.
    L. van Wijngaarden, “On the oscillations near and at resonance in open pipes”,J. Eng. Math.,2, 225–240 (1968).MATHCrossRefGoogle Scholar
  17. 17.
    R. G. Galiullin and E. I. Permyakov, “Nonlinear subharmonic oscillations of a gas in a semiclosed tube”,Akust. Zh.,34, No. 4, 733–735 (1988).ADSGoogle Scholar
  18. 18.
    A. S. Hersch and T. Rogers, “Fluid mechanical model of the acoustic impedance of small orifices”,AIAA J.,495, 1–10 (1975).Google Scholar

Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • R. G. Galiullin
    • 1
  • É. R. Galiullina
    • 1
  • E. I. Permyakov
    • 2
  1. 1.Kazan' State UniversityKazan'
  2. 2.Kazan' State Pedagogical UniversityKazan'

Personalised recommendations