Skip to main content

Wall Pressure Fluctuations Induced by Supersonic Turbulent Boundary Layer

  • Conference paper
  • First Online:
Flinovia - Flow Induced Noise and Vibration Issues and Aspects

Abstract

Wall pressure fluctuations induced on a rigid wall by a turbulent boundary layer in supersonic regime are the subject of the present review. The sound and vibration of the structure subjected to the correlated fluctuating forces are modeled and predicted presuming the knowledge of a forcing function related to the wavenumber–frequency spectrum of the boundary layer pressures. In this framework the main results obtained in measurements of equilibrium supersonic turbulent boundary layers and in recent numerical simulations are reviewed evidencing the actual limitations of both methodologies. More emphasis is devoted to the experimental and numerical analysis made by the authors respectively on the pressure field generated on the external surface of a launcher model and on the modelization of the pressure coherence function generated by a supersonic flow in different conditions over a flat plate.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. B.M. Abraham, Direct measurements of the turbulent boundary layer wall pressure wavenumber-frequency spectra. J. Fluids Eng. 120, 29–39 (1998)

    Article  Google Scholar 

  2. S.J. Beresh, J.F. Henfling, R.W. Spillers, B.O.M. Pruett, Fluctuating wall pressures measured beneath a supersonic turbulent boundary layer. Phys. Fluids 23, (2011)

    Google Scholar 

  3. M. Bernardini, S. Pirozzoli, F. Grasso, The wall pressure signature of transonic shock/boundary layer interaction. J. Fluid Mech. 671, 288–312 (2011)

    Article  MATH  Google Scholar 

  4. M. Bernardini, S. Pirozzoli, Wall pressure fluctuations beneath supersonic turbulent boundary layers. Phys Fluids 23, (2011)

    Google Scholar 

  5. W.K. Blake, Mechanics of flow induced sound and vibrations. Appl. Math. And Mech., Acad. Press Inc., Orlando (1986)

    Google Scholar 

  6. P. Bradshaw, ‘Inactive’ motion and pressure fluctuations in turbulent boundary layers. J. Fluid Mech. 30, 241–258 (1967)

    Article  Google Scholar 

  7. M.K. Bull, Wall pressure fluctuations associated with subsonic turbulent boundary layer flow. J. Fluid Mech. 28, 719–754 (1967)

    Article  Google Scholar 

  8. M.K. Bull On the form of the wall-pressure spectrum in a turbulent boundary layer in relation to noise generation by boundary layer-surface interactions, in Mechanics of Sound Generation Flows, IUTAM Conference (Springer, Berlin, 1979), pp. 210–216

    Google Scholar 

  9. M.K. Bull, Wall-pressure fluctuations beneath turbulent boundary layers: some reflections of forty years of research. J. Sound Vib. 190(3), 299–315 (1996)

    Article  Google Scholar 

  10. R. Camussi, G. Guj, B. Imperatore, A. Pizzicaroli, D. Perigo, Wall pressure fluctuations induced by transonic boundary layers on a launcher model. Aerosp. Sci. Technol. 11, 349–359 (2007)

    Article  Google Scholar 

  11. D. Chase, Modelling the wavevector-frequency spectrum of turbulent boundary layer wall pressure. J. Sound Vib. 70, 29–67 (1980)

    Article  MATH  Google Scholar 

  12. D.M. Chase, The character of the turbulent wall pressure spectrum at subconvective wavenumbers and a suggested comprehensive model. J. Sound Vib. 112, 125–147 (1987)

    Article  Google Scholar 

  13. D.M. Chase, Fluctuations in wall-shear stress and pressure at low streamwise wavenumbers in turbulent boundary-layer flow. J. Fluid Mech. 225, 545–556 (1991)

    Article  MATH  Google Scholar 

  14. H. Choi, P. Moin, On the space-time characteristics of wall pressure fluctuations. Phys. Fluids A 2, 1450–1460 (1990)

    Article  Google Scholar 

  15. E. Ciappi, F. Mangionesi, S. De Rosa, F. Franco, Hydrodynamic and hydroelastic analyses of a plate excited by the turbulent boundary layer. J. Fluids Struct. 258, 321–342 (2009)

    Article  Google Scholar 

  16. J.A. Cockburn, J.E. Robertson, Vibration response of spacecraft shrouds to in-flight fluctuating pressures. J. Sound Vib. 33, 399–425 (1974)

    Article  Google Scholar 

  17. G.M. Corcos, Resolution of pressure in turbulence. J. Acoust. Soc. Am. 35(2), 192 (1963)

    Article  Google Scholar 

  18. G.M. Corcos, The structure of the turbulent pressure field in boundary-layer flows. J. Fluid Mech. 18(3), 353–378 (1964)

    Article  MATH  Google Scholar 

  19. G. Cousin, Sound from TBL induced vibrations. Ph.D. thesis, KTH Marcus Wallenberg Laboratory for Sound and Vibration Research, Stockholm, 1999

    Google Scholar 

  20. A. Di Marco, R. Camussi, M. Bernardini, S. Pirozzoli, Wall pressure coherence in supersonic turbulent boundary layers. J. Fluid Mech. 732, 445–456 (2013)

    Article  MATH  Google Scholar 

  21. D.S. Dolling, J.P. Dussauge (1989) Fluctuating wall pressure measurements, in AGARD-AG-315: A Survey of Measurements and Measuring Techniques in Rapidly Distorted Compressible Turbulent Boundary Layers, pp. 8-1–8-18

    Google Scholar 

  22. B.M. Efimtsov, Characteristics of the field of turbulent wall pressure fluctuations at large Reynolds numbers. Sov. Phys. Acoust. 28, 289–292 (1982)

    Google Scholar 

  23. B.M. Efimtsov, Vibrations of a cylindrical panel in a field of turbulent pressure fluctuations. Sov. Phys. Acoust. 32(4), 336–337 (1986)

    Google Scholar 

  24. T.M. Farabee, M.J. Casarella, Spectral features of wall pressure fluctuations beneath turbulent boundary layers. Phys. Fluids A 3(10), 2410–2420 (1991)

    Article  Google Scholar 

  25. T.M. Farabee, F.E. Geib Measurements of boundary layer pressure fluctuations at low wavenumbers on smooth and rough walls, in ASME Symposium on Flow Noise Modelling, Measurement and Control, NCA vol. 11, FED-vol. 130, pp. 55–68

    Google Scholar 

  26. J.E. Ffowcs Williams, Surface pressure fluctuations induced by boundary layer flow at finite Mach number. J. Fluid Mech. 22, 507 (1965)

    Article  MathSciNet  Google Scholar 

  27. J.E. Ffowcs Williams, Boundary-layer pressures and the Corcos model: a development to incorporate low wavenumber constraints. J. Fluid Mech. 125, 9–25 (1982)

    Article  MATH  Google Scholar 

  28. S. Finnveden, F. Birgersson, U. Ross, T. Kremer, A model of wall pressure correlation for prediction of turbulence-induced vibration. J. Fluids Struct. 20, 1127–1143 (2005)

    Article  Google Scholar 

  29. M.C. Goody, R.L. Simpson, M. Engel, C.J. Chesnakas, W.J. Devenport (1998) Mean velocity and pressure and velocity spectral measurements within a separated flow around a prolate spheroid at incidence. AIAA paper, 98-0630 (1998)

    Google Scholar 

  30. W.R. Graham, A comparison of models for the wavenumber-frequency spectrum of turbolent boundary layer pressures. J. Sound Vib. 206(4), 541–565 (1997)

    Article  Google Scholar 

  31. S.P. Gravante, A.M. Naguib, C.E. Wark, H.M. Nagib, Characterization of the pressure fluctuations under a fully developed turbulent boundary layer. AIAA J 36, 1808–1816 (1998)

    Google Scholar 

  32. Y.F. Hwang, G. Maidanik, A wavenumber analysis of the coupling of a structural mode and flow turbulence. J. Sound Vib. 142, 135–152 (1990)

    Article  Google Scholar 

  33. W.L. Keith, D.A. Hurdis, B.M. Abraham, A comparison of turbulent boundary layer wall-pressure spectra. J. Fluids Eng. 114, 338–347 (1992)

    Article  Google Scholar 

  34. R.H. Kraichnan, Pressure fluctuations in turbulent flow over a flat plate. J. Acoust. Soc. Am. 28, 278–390 (1956)

    Google Scholar 

  35. B.H.K. Lee, Self–sustained shock oscillations on airfoils at transonic speed. Prog. Aero. Sci. 37, 147–196 (2001)

    Article  Google Scholar 

  36. G.M. Lilley, T.H. Hodgson, On Surface Pressure Fluctuations in Turbulent Boundary layers (AGARD, Report No, 1960). 276

    Google Scholar 

  37. E. Manoha, The wavenumber-frequency spectrum of the wall pressure fluctuations beneath a turbulent boundary layer, in Proceedings of AIAA/CEAS Aeroacoustics Conference, 6–8 May , State College, PA, AIAA paper, pp. 96–1758

    Google Scholar 

  38. A.M. Naguib, S.P. Gravante, C.E. Wark, Extraction of turbulent wall-pressure time-series using an optimal filtering scheme. Exp. Fluids 22(1), 14–22 (1996)

    Article  Google Scholar 

  39. R.L. Panton, G. Robert, The wavenumber-phase velocity representation for the turbulent wall-pressure spectrum. J. Fluid. Eng. 116, 447 (1994)

    Article  Google Scholar 

  40. O.M. Phillips, On the aerodynamic surface sound from a plane turbulent boundary layer. Proc. R. Soc. Lon., Series A. 234, 327–335 (1956)

    Article  MATH  Google Scholar 

  41. S. Pirozzoli, M. Bernardini, F. Grasso, Direct numerical simulation of transonic shock/boundary layer interaction under conditions of incipient separation. J. Fluid Mech. 657, 361–393 (2010)

    Article  MATH  MathSciNet  Google Scholar 

  42. B.A. Singer Turbulent wall-pressure fluctuations: new model for off-axis cross-spectral density. NASA Contractor Report 198297 (1996)

    Google Scholar 

  43. B.A. Singer Large-eddy simulation of turbulent wall-pressure fluctuations. NASA Contractor Report 198276 (1996)

    Google Scholar 

  44. A.V. Smol’yakov, V.M. Tkachenko, Model of a field of pseudosonic turbulent wall pressures and experimental data. Sov. Phys. Acoust. 37(6), 627–631 (1991)

    Google Scholar 

  45. S. Tavoularis, Measurements in Fluid Mechanics (Cambridge University Press, New York, 2005)

    Google Scholar 

  46. W.W. Willmarth, Pressure fluctuations beneath turbulent boundary layers. Annu. Rev. Fluid Mech. 7, 13–38 (1975)

    Article  Google Scholar 

  47. S.F. Wu, L. Maestrello, Responses of finite baffled plate to turbulent flow excitations. AIAA. J. 33, 13–19 (1995)

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Roberto Camussi .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Camussi, R., Di Marco, A. (2015). Wall Pressure Fluctuations Induced by Supersonic Turbulent Boundary Layer. In: Ciappi, E., De Rosa, S., Franco, F., Guyader, JL., Hambric, S. (eds) Flinovia - Flow Induced Noise and Vibration Issues and Aspects. Springer, Cham. https://doi.org/10.1007/978-3-319-09713-8_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-09713-8_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-09712-1

  • Online ISBN: 978-3-319-09713-8

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics