Advertisement

Journal of Applied Mechanics and Technical Physics

, Volume 50, Issue 5, pp 733–741 | Cite as

Three-wave interactions of disturbances in a hypersonic boundary layer on a porous surface

  • S. A. Gaponov
  • N. M. Terekhova
Article

Abstract

Interactions of disturbances in a hypersonic boundary layer on a porous surface are considered within the framework of the weakly nonlinear stability theory. Acoustic and vortex waves in resonant three-wave systems are found to interact in the weak redistribution mode, which leads to weak decay of the acoustic component and weak amplification of the vortex component. Three-dimensional vortex waves are demonstrated to interact more intensively than two-dimensional waves. The feature responsible for attenuation of nonlinearity is the presence of a porous coating on the surface, which absorbs acoustic disturbances and amplifies vortex disturbances at high Mach numbers. Vanishing of the pumping wave, which corresponds to a plane acoustic wave on a solid surface, is found to assist in increasing the length of the regions of linear growth of disturbances and the laminar flow regime. In this case, the low-frequency spectrum of vortex modes can be filled owing to nonlinear processes that occur in vortex triplets.

Key words

hypersonic boundary layer three-wave resonance systems acoustic and vortex disturbances 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    A. V. Boiko, G. R. Grek, A. V. Dovgal’, and V. V. Kozlov, Origination of Turbulence in Near-Wall Flows [in Russian], Nauka, Novosibirsk (1999).Google Scholar
  2. 2.
    Y. S. Kachanov, “Physical mechanisms of laminar-boundary-layer transition,” Ann. Rev. Fluid Mech., 26, 411–482 (1994).ADSMathSciNetGoogle Scholar
  3. 3.
    D. A. Bountin, A. N. Shiplyuk, A. A. Maslov, and N. Chokani, “Nonlinear aspects of hypersonic boundary layer stability on a porous surface,” AIAA Paper No. 0258 (2004).Google Scholar
  4. 4.
    S. A. Gaponov and A. A. Maslov, Development of Disturbances in Compressible Flows [in Russian], Nauka, Novosibirsk (1980).Google Scholar
  5. 5.
    S. A. Gaponov, N. M. Terekhova, and B. V. Smorodskii, “Three-wave interaction of disturbances in a hypersonic boundary layer,” Vestn. Novosib. Gos. Univ., Ser. Fiz., 3, No. 3, 39–45 (2008).Google Scholar
  6. 6.
    S. A. Gaponov and I. I. Maslennikova, “Subharmonic instability of a supersonic boundary layer,” Teplofiz. Aéromekh., 4, No. 1, 1–10 (1997).Google Scholar
  7. 7.
    A. Fedorov, A. Shiplyuk, A. Maslov, et al., “Stabilization of a hypersonic boundary layer using an ultrasonically absorptive coating,” J. Fluid Mech., 479, 99–124 (2003).MATHCrossRefADSGoogle Scholar
  8. 8.
    S. A. Gaponov, “Effect of gas compressibility on the stability of a boundary layer above a permeable surface at subsonic velocities,” J. Appl. Mech. Tech. Phys., 16, No. 1, 95–98 (1975).CrossRefADSMathSciNetGoogle Scholar
  9. 9.
    S. A. Gaponov, “Effect of properties of a porous coating on boundary-layer stability,” Izv. Sib. Otd. Akad. Nauk SSSR, Ser. Tekh. Nauk, No. 3, Issue 1, 21–23 (1971).Google Scholar
  10. 10.
    F. B. Daniels, “On the propagation of sound waves in a cylindrical conduit,” J. Acoust. Soc. Amer., 44, 563–564 (1950).CrossRefADSGoogle Scholar

Copyright information

© MAIK/Nauka 2009

Authors and Affiliations

  1. 1.Khristianovich Institute of Theoretical and Applied Mechanics, Siberian DivisionRussian Academy of SciencesNovosibirskRussia

Personalised recommendations