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Wall pressure coherence in supersonic turbulent boundary layers

Published online by Cambridge University Press:  06 September 2013

A. Di Marco ,
R. Camussi ,
M. Bernardini  and
S. Pirozzoli
A. Di Marco*
Affiliation:
Department of Mechanical and Industrial Engineering, University Roma TRE, Rome, 00146, Italy
R. Camussi
Affiliation:
Department of Mechanical and Industrial Engineering, University Roma TRE, Rome, 00146, Italy
M. Bernardini
Affiliation:
Department of Mechanical and Aerospace Engineering, University La Sapienza, Rome, 00184, Italy
S. Pirozzoli
Affiliation:
Department of Mechanical and Aerospace Engineering, University La Sapienza, Rome, 00184, Italy
*
†Email address for correspondence: [email protected]
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Abstract

A numerical database (Bernardini & Pirozzoli, Phys. Fluids, vol. 23, 2011, 085102) is analysed to investigate cross-statistics of wall-pressure fluctuations induced by supersonic turbulent boundary layers developing over a rigid smooth wall without a pressure gradient. The Mach number spans from 2 to 4 and a relatively large range of Reynolds numbers is considered. It is shown, for the first time, that the cross-statistics of wall-pressure fluctuations at such high Mach numbers is very similar to that usually observed in incompressible flow conditions. Furthermore, it is demonstrated that theoretical predictions provided by the well-known Corcos and Efimtsov models continue to apply.

JFM classification

Compressible Flows: Compressible boundary layers Turbulent Flows: Turbulent boundary layers
Type
Papers
Information
Journal of Fluid Mechanics , Volume 732 , 10 October 2013 , pp. 445 - 456
Copyright
©2013 Cambridge University Press 

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References

Beresh, S. J., Henfling, J. F., Spillers, R. W. & Pruett, B. O. M. 2011 Fluctuating wall pressures measured beneath a supersonic turbulent boundary layer. Phys. Fluids 23, 075110.CrossRefGoogle Scholar
Bernardini, M. & Pirozzoli, S. 2011 Wall pressure fluctuations beneath supersonic turbulent boundary layers. Phys. Fluids 23, 085102.CrossRefGoogle Scholar
Blake, W. K. 1986 Mechanics of Flow-Induced Sound and Vibration, Vol. 2. Academic Press.Google Scholar
Bull, M. K. 1996 Wall pressure fluctuations beneath turbulent boundary layers: some reflections on forty years of research. J. Sound Vib. 190, 299–315.Google Scholar
Camussi, R., Guj, G., Imperatore, B., Pizzicaroli, A. & Perigo, D. 2007 Wall pressure fluctuations induced by transonic boundary layers on a launcher model. Aerosp. Sci. Technol. 11, 349–359.CrossRefGoogle Scholar
Chase, D. M. 1980 Modelling the wavevector-frequency spectrum of turbulent boundary layer wall pressure. J. Sound Vib. 70, 29–67.Google Scholar
Ciappi, E., Magionesi, F., DeRosa, S. & Franco, F. 2009 Hydrodynamic and hydroelastic analyses of a plate excited by the turbulent boundary layer. J. Fluids Struct. 25, 321–342.CrossRefGoogle Scholar
Corcos, G. M. 1962 Pressure fluctuations in shear flows. Tech. Rep. 183. University of California, Institute of Engineering Research Report Series.Google Scholar
Corcos, G. M. 1963 Resolution of pressure in turbulence. J. Acoust. Soc. Am. 35, 192–199.Google Scholar
Corcos, G. M. 1967 The resolution of turbulent pressures at the wall of a boundary layer. J. Sound Vib. 6, 59–70.CrossRefGoogle Scholar
Efimtsov, B. M. 1982 Model of a field of pseudonic turbulent wall pressures and experimental data. Sov. Phys. Acoust. 28, 289–292.Google Scholar
Finnveden, S., Birgersson, F., Ross, U. & Kremer, T. 2005 A model of wall pressure correlation for prediction of turbulence-induced vibration. J. Fluids Struct. 20, 1127–1143.Google Scholar
Graham, W. R. 1997 A comparison of models for the wavenumber frequency spectrum of turbulent boundary layer pressures. J. Sound Vib. 206, 541–565.Google Scholar
Hwang, Y. F., Bonnessa, W. K. & Hambric, S. A. 2009 Comparison of semi-empirical models for turbulent boundary layer wall pressure spectra. J. Sound Vib. 319, 199–217.Google Scholar
Kistler, A. L. & Chen, W. S. 1963 The fluctuating pressure field in a supersonic turbulent boundary layer. J. Fluid Mech. 16, 41–64.Google Scholar
Laufer, J. 1964 Some stastical properties of the pressure field radiated by a turbulent boundary layer. Phys. Fluids 7, 1191–1197.Google Scholar
Leclercq, D. J. J. & Bohineust, X. 2002 Investigation and modelling of the wall pressure field beneath a turbulent boundary layer at low and medium frequencies. J. Sound Vib. 257, 477–501.CrossRefGoogle Scholar
Lilley, G. M. & Hodgson, T. H. 1960 On surface pressure fluctuations in turbulent boundary layers. Tech. Rep. 276. AGARD.Google Scholar
Palumbo, D. 2012 Determining correlation and coherence lengths in turbulent boundary layer flight data. J. Sound Vib. 331, 3721–3737.Google Scholar
Pirozzoli, S. 2010 Generalized conservative approximations of split convective derivative operators. J. Comput. Phys. 229, 7180–7190.CrossRefGoogle Scholar
Smol’yakov, A. V. & Tkachenko, V. M. 1991 Model of a field of pseudosonic turbulent wall pressures and experimental data. Sov. Phys. Acoust. 37, 627–631.Google Scholar
Viazzo, S., Dejoan, A. & Schiestel, R. 2001 Spectral features of the wall-pressure fluctuations in turbulent wall flows with and without perturbations using LES. Intl J. Heat Fluid Fl. 22, 39–52.Google Scholar