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Surface-pressure fluctuations induced by boundary-layer flow at finite Mach number

Published online by Cambridge University Press:  28 March 2006

John E. Ffowcs Williams
John E. Ffowcs Williams
Affiliation:
Department of Mathematics, Imperial College, London
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Abstract

A theory describing boundary-layer surface-pressure fluctuations on a rigid surface is presented in a form that illustrates the main effect of compressibility. The most significant effect is that the correlation area is proportional to the square of mean-flow Mach number so it does not vanish in flow of finite compressibility. Modifications of the wave-number and frequency spectra by this effect are described, and the results applied to the computation of large plate response. That computation incorporates the effect of fluid loading, which enters the response equations as a dissipative term for components at supersonic phase velocity but merely as an added loading for subsonic components.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 22 , Issue 3 , July 1965 , pp. 507 - 519
Copyright
© 1965 Cambridge University Press

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References

Curle, N., 1955 The influence of solid boundaries upon aerodynamic sound. Proc. Roy. Soc. A, 231, 412.Google Scholar
Corcos, G. M. & Liepmann, H. W. 1955 On the contribution of turbulent boundary layers to the noise inside a fuselage. Douglas Rep. no. SM 19570.Google Scholar
Ffowcs Williams, J. E. & Lyon, R. H. 1963 The sound radiated from turbulent flows near flexible boundaries. Bolt, Beranek and Newman Inc. Rep. no. 1054.Google Scholar
Hodgson, T. H., 1962 Pressure fluctuations in shear flow turbulence. College of Aeronautics Note, no. 129.Google Scholar
Kistler, A. L. & Chen, W. S. 1962 The fluctuating pressure field in a supersonic turbulent boundary layer. JPL Tech. Rep. no. 32-277.Google Scholar
Kraichnan, R. H., 1956 Pressure fluctuations in the turbulent flow over a flat plate. J. Acoust. Soc. Amer. 28, 378.Google Scholar
Lighthill, M. J., 1952 On sound generated aerodynamically. I. General theory. Proc. Roy. Soc. A, 211, 566.Google Scholar
Lilley, G. M., 1963 A review of pressure fluctuations in turbulent boundary layers at subsonic and supersonic speeds. College of Aeronautics Memo. no. 6.Google Scholar
Phillips, O. M., 1956 On the aerodynamic surface sound from a plane turbulent boundary layer. Proc. Roy. Soc. A, 234, 327.Google Scholar
Powell, A., 1960 Aerodynamic noise and the plane boundary. J. Acoust. Soc. Amer. 32, 8.Google Scholar
Willmarth, W. W. & Wooldridge, C. E. 1962 Measurements of the fluctuating pressure at the wall beneath a thick turbulent layer. J. Fluid Mech. 14, 187.Google Scholar