Suppression of Unstable Oscillations in a Boundary Layer

  • A. I. Derzhavina
  • O. S. Ryzhov
  • E. D. Terent’ev
Conference paper
Part of the International Union of Theoretical and Applied Mechanics book series (IUTAM)

Summary

A theoretical study is made of the excitation of Tollmien — Schlichting waves by a mechanical vibrator or thermal source that heats a small part of a surface in subsonic stream. According to results of most practical concern, it is possible to reduce essentially the amplitude of forced oscillations and even to attain their full attenuation by changing the form of a membrane. The similar effect is reached when the temperature of the heated part varies. Hence a possibility arises to damp travelling Tollmien — Schlichting waves using different devices of both mechanical and thermal nature.

Keywords

Attenuation Milling 

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References

  1. 1.
    Smith, F.: Proc. Roy. Soc. A366 (1979) 91.ADSMATHCrossRefGoogle Scholar
  2. 2.
    Zhuk, V.I. & Ryzhov, O.S.: Dokl. Akad. Nauk SSSR 253 (1980) 1326.MathSciNetADSGoogle Scholar
  3. 3.
    Neiland, V.Ya.: Usp. Mekh. 4 (1981), No. 2, 1.Google Scholar
  4. 4.
    Stewartson, K.: SIAM Rev. 23 (1981) 308.MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    Smith, F.: IMA J. Appl. Math. 28 (1982) 207.MathSciNetADSMATHCrossRefGoogle Scholar
  6. 6.
    Zhuk, V.I. & Ryzhov, O.S.: Dokl. Akad. Nauk SSSR 247 (1979) 1085.Google Scholar
  7. 7.
    Bogdanova, E.V. & Ryzhov, 0.S.: Zh. Priki. Mekh. Tekh. Fiz. (1982), No. 4, 65.Google Scholar
  8. 8.
    Terent’ev, E.D.: Priki. Mat. Mekh. 48 (1984) 264.Google Scholar
  9. 9.
    Drazin, P.G. & Reid, W.H. Hydrodynamic Stability. Cambridge: University Press 1981.MATHGoogle Scholar
  10. 10.
    Ryzhov, O.S. & Terent’ev, E.D.: Priki. Mat. Mekh. 41 (1977) 1007.MathSciNetGoogle Scholar
  11. 11.
    Ryzhov, 0.S. & Zhuk, V.I.: J. de Mécan. 19 (1980) 561.MathSciNetADSMATHGoogle Scholar
  12. 12.
    Terent’ev, E.D.: Prikl. Mat. Mekh. 45 (1981) 1049.Google Scholar
  13. 13.
    Ryzhov, 0.S. & Terent’ev, E.D.: Prikl. Mat. Mekh. 50 (1986) 974.Google Scholar
  14. 14.
    Zhuk, V.I. & Ryzhov, 0.S.: Dokl. Akad. Nauk SSSR 268 (1983) 1328.MathSciNetADSGoogle Scholar
  15. 15.
    Bogdanova, E.V. & Ryzhov, 0.S.: Dokl. Akad. Nauk SSSR 270 (1983) 817.ADSGoogle Scholar
  16. 16.
    Derzhavina, A.I.: Prikl. Mat. Mekh. 46 (1982) 635.Google Scholar
  17. 17.
    Milling, R.W.: Phys. Fluids 24 (1981) 979.ADSCrossRefGoogle Scholar
  18. 18.
    Liepmann, H.W.; Brown, G.L. & Nosenchuck, D.M.: J. Fluid Mech. 118 (1982) 187.ADSCrossRefGoogle Scholar
  19. 19.
    Godney, C.J.: Phys. Fluids 26 (1983) 1158ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • A. I. Derzhavina
    • 1
  • O. S. Ryzhov
    • 1
  • E. D. Terent’ev
    • 1
  1. 1.Computing Centre of the USSR Academy of SciencesMoscowRussia

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