Skip to main content
Log in

Noise of a turbulent boundary layer flow over smooth and rough plates at low mach numbers

  • Reviews
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

The spectral levels of the quadrupole noise generated by a boundary layer flow over a smooth surface are calculated. Explicit dependences of the noise levels on the Reynolds number are obtained for the low-frequency and high-frequency ranges. It is shown that the logarithmic zone of the velocity profile is responsible for the region of the quadrupole noise spectrum with a hyperbolic dependence on frequency. A method of calculating the dipole noise of a boundary layer flow over a rough surface is developed. The method is based on the use of the combined probability density for the turbulent velocity fluctuations and the random dimensions of protuberances of the rough surface. The two constants involved in this theory are determined from a special experiment. It is shown that the surface roughness noticeably increases the radiation levels of a boundary layer flow in a certain frequency range.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. E. Ffowcs Williams, J. Sound Vibr. 190, 387 (1996).

    Google Scholar 

  2. A. V. Smol’yakov, Akust. Zh. 19, 251 (1973) [Sov. Phys. Acoust. 19, 65 (1973)].

    Google Scholar 

  3. A. V. Smol’yakov, Akust. Zh. 19, 420 (1973) [Sov. Phys. Acoust. 19, 271 (1973)].

    Google Scholar 

  4. W. K. Blake, Mechanics and Flow-Induced Sound and Vibration (Academic, New York, 1986).

    Google Scholar 

  5. M. I. Rabinovich, V. P. Reutov, and G. V. Rybushkina, Akust. Zh. 30, 105 (1984) [Sov. Phys. Acoust. 30, 60 (1984)].

    ADS  Google Scholar 

  6. M. S. Howe, J. Sound Vibr. 104, 29 (1986).

    ADS  MathSciNet  Google Scholar 

  7. M. S. Howe, Proc. R. Soc. London, Ser. A 415, 141 (1988).

    ADS  MATH  Google Scholar 

  8. A. V. Smol’yakov, Akust. Zh. 46, 401 (2000) [Acoust. Phys. 46, 342 (2000)].

    Google Scholar 

  9. J. O. Hinze, Turbulence, an Introduction to Its Mechanism and Theory (McGraw-Hill, New York, 1959; Fizmatlit, Moscow, 1963).

    Google Scholar 

  10. H. Schlichting, Grenzschicht-Theorie (G. Braun, Karlsruhe, 1965; McGraw-Hill, New York, 1968; Nauka, Moscow, 1974).

    Google Scholar 

  11. A. G. Munin, V. M. Kuznetsov, and E. A. Leont’ev, Aerodynamical Sources of Sound (Mashinostroenie, Moscow, 1981).

    Google Scholar 

  12. P. Bradshaw, J. Fluid Mech. 30, 241 (1967).

    ADS  Google Scholar 

  13. W. L. Keith, D. A. Hurdis, and B. M. Abraham, J. Fluids Eng. 114, 338 (1992).

    Google Scholar 

  14. J. E. Ffowcs Williams and L. H. Hall, J. Fluid Mech. 70, 657 (1970).

    ADS  Google Scholar 

  15. M. S. Howe, J. Sound Vibr. 65, 159 (1979).

    Article  ADS  MATH  Google Scholar 

  16. A. V. Smol’yakov, Akust. Zh. 35, 506 (1989) [Sov. Phys. Acoust. 35, 296 (1989)].

    ADS  Google Scholar 

  17. A. V. Smol’yakov, Acustica 80, 541 (1994).

    Google Scholar 

  18. G. Korn and T. Korn, Mathematical Handbook for Scientists and Engineers, 2nd ed. (McGraw-Hill, New York, 1961; Nauka, Moscow, 1968).

    Google Scholar 

  19. A. V. Smol’yakov and V. M. Tkachenko, Akust. Zh. 37, 1199 (1991) [Sov. Phys. Acoust. 37, 627 (1991)].

    ADS  Google Scholar 

  20. G. M. Corcos, J. Acoust. Soc. Am. 35, 192 (1963).

    Article  Google Scholar 

  21. A. V. Smol’yakov and V. M. Tkachenko, The Measurement of Turbulent Fluctuations (Énergiya, Leningrad, 1980; Springer-Verlag, Berlin, 1983).

    Google Scholar 

  22. V. K. Iofe, V. G. Korol’kov, and M. A. Sapozhkov, A Handbook on Acoustics (Svyaz’, Moscow, 1979).

    Google Scholar 

  23. L. G. Loitsyanskii, Fluid Mechanics (Fizmatlit, Moscow, 1973).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Akusticheski\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l}\) Zhurnal, Vol. 47, No. 2, 2001, pp. 264–272.

Original Russian Text Copyright © 2001 by Smol’yakov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Smol’yakov, A.V. Noise of a turbulent boundary layer flow over smooth and rough plates at low mach numbers. Acoust. Phys. 47, 218–225 (2001). https://doi.org/10.1134/1.1355808

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1355808

Keywords

Navigation