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Low- and mid-frequency wall-pressure sources in a turbulent boundary layer

Published online by Cambridge University Press:  07 May 2021

Bradley Gibeau  and
Sina Ghaemi Open the ORCID record for Sina Ghaemi [Opens in a new window]
Bradley Gibeau
Affiliation:
Department of Mechanical Engineering, University of Alberta, Edmonton, AlbertaT6G 2R3, Canada
Sina Ghaemi*
Affiliation:
Department of Mechanical Engineering, University of Alberta, Edmonton, AlbertaT6G 2R3, Canada
*
†Email address for correspondence: ghaemi@ualberta.ca
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Abstract

Simultaneous wall-pressure and high-speed particle image velocimetry measurements were used to identify the coherent structures that generate low- and mid-frequency wall-pressure fluctuations in a turbulent boundary layer at a friction Reynolds number of $Re_\tau =2600$. The coherence function between wall pressure and velocity at a range of wall-normal locations revealed two distinct frequency bands of high coherence that span the low- and mid-frequency regions of the wall-pressure spectrum. Pressure was filtered to isolate the frequencies associated with each region of high coherence, and space–time pressure-velocity correlations were computed using the filtered signals to expose the motions responsible for the observed pressure-velocity coupling. The resulting correlation patterns were attributed to very-large-scale motions (VLSMs) and hairpin packets, revealing that these two types of coherent motions are the dominant sources of wall-pressure fluctuations at the low and mid frequencies. Although the VLSMs and hairpin packets are closely related, the mechanisms by which these motions affect wall pressure were found to be different. The VLSMs were found to cause positive and negative wall-pressure fluctuations via splatting and lifting of fluid at the wall, respectively. In contrast, hairpin packets affected wall pressure because of their low-pressure vortex cores and regions of high-pressure stagnation. The frequency at which the wall-pressure source changes from the VLSMs to the hairpin packets coincided with the peak of the wall-pressure spectrum, suggesting that the peak may be a result of the transition between pressure sources that occurs at the same point in the frequency domain.

JFM classification

Turbulent Flows: Turbulent boundary layers Boundary Layers: Boundary layer structure
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 918 , 10 July 2021 , A18
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Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Adrian, R.J. 2007 Hairpin vortex organization in wall turbulence. Phys. Fluids 19, 041301.CrossRefGoogle Scholar
Ahn, B.K., Graham, W.R. & Rizzi, S.A. 2010 A structure-based model for turbulent-boundary-layer wall pressures. J. Fluid Mech. 650, 443–478.CrossRefGoogle Scholar
Arguillat, B., Ricot, D., Bailly, C. & Robert, G. 2010 Measured wavenumber: frequency spectrum associated with acoustic and aerodynamic wall pressure fluctuations. J. Acoust. Soc. Am. 128, 1647.CrossRefGoogle ScholarPubMed
Balakumar, B.J. & Adrian, R.J. 2007 Large- and very-large-scale motions in channel and boundary-layer flows. Phil. Trans. R. Soc. A 365, 665–681.CrossRefGoogle ScholarPubMed
Beresh, S.J., Henfling, J.F. & Spillers, R.W. 2013 Very-large-scale coherent structures in the wall pressure field beneath a supersonic turbulent boundary layer. Phys. Fluids 25, 095104.CrossRefGoogle Scholar
Brooks, T.F., Pope, D.S. & Marcolini, M.A. 1989 Airfoil self-noise and prediction. NASA Reference Publication 1218.Google Scholar
Buchmann, N.A., Kücükosman, Y.C., Ehrenfried, K. & Kähler, C.J. 2016 Wall pressure signature in compressible turbulent boundary layers. Progress in Wall Turbulence 2, pp. 93–102. Springer.CrossRefGoogle Scholar
Bull, M.K. 1967 Wall-pressure fluctuations associated with subsonic turbulent boundary layer flow. J. Fluid Mech. 28 (4), 719–754.CrossRefGoogle Scholar
Bull, M.K. 1996 Wall-pressure fluctuations beneath turbulent boundary layers: some reflections on forty years of research. J. Sound Vib. 190 (3), 299–315.CrossRefGoogle Scholar
Chung, D. & McKeon, B.J. 2010 Large-eddy simulation of large-scale structures in long channel flow. J. Fluid Mech. 661, 341–364.CrossRefGoogle Scholar
Cockburn, J.A. & Robertson, J.E. 1974 Vibration response of spacecraft shrouds to in-flight fluctuating pressures. J. Sound Vib. 33 (4), 399–425.CrossRefGoogle Scholar
Corcos, G.M. 1964 The structure of the turbulent pressure field in boundary-layer flows. J. Fluid Mech. 18 (3), 353–378.CrossRefGoogle Scholar
Dennis, D.J.C. & Nickels, T.B. 2008 On the limitations of Taylor's hypothesis in constructing long structures in a turbulent boundary layer. J. Fluid Mech. 614, 197–206.CrossRefGoogle Scholar
Dennis, D.J.C. & Nickels, T.B. 2011 a Experimental measurement of large-scale three-dimensional structures in a turbulent boundary layer. Part 2. Long structures. J. Fluid Mech. 673, 218–244.CrossRefGoogle Scholar
Dennis, D.J.C. & Nickels, T.B. 2011 b Experimental measurement of large-scale three-dimensional structures in a turbulent boundary layer. Part 2. Vortex packets. J. Fluid Mech. 673, 180–217.CrossRefGoogle Scholar
Elsinga, G.E., Adrian, R.J., van Oudheusden, B.W. & Scarano, F. 2010 Three-dimensional vortex organization in a high-Reynolds-number supersonic turbulent boundary layer. J. Fluid Mech. 644, 35–60.CrossRefGoogle Scholar
Farabee, T.M. & Casarella, M.J. 1991 Spectral features of wall pressure fluctuations beneath turbulent boundary layers. Phys. Fluids A 3, 2410.CrossRefGoogle Scholar
Ffowcs Williams, J.E. & Hall, L.H. 1970 Aerodynamic sound generation by turbulent flow in the vicinity of a scattering half plane. J. Fluid Mech. 40 (4), 657–670.CrossRefGoogle Scholar
Ganapathisubramani, B., Hutchins, N., Monty, J.P., Chung, D. & Marusic, I. 2012 Amplitude and frequency modulation in wall turbulence. J. Fluid Mech. 712, 61–91.CrossRefGoogle Scholar
Ghaemi, S. & Scarano, F. 2013 Turbulent structure of high-amplitude pressure peaks within the turbulent boundary layer. J. Fluid Mech. 735, 381–426.CrossRefGoogle Scholar
Gibeau, B. & Ghaemi, S. 2020 The mode B structure of streamwise vortices in the wake of a two-dimensional blunt trailing edge. J. Fluid Mech. 884, A12.CrossRefGoogle Scholar
Gibeau, B., Gingras, D. & Ghaemi, S. 2020 Evaluation of a full-scale helium-filled soap bubble generator. Exp. Fluids 61, 28.CrossRefGoogle Scholar
Goody, M. 2004 Empirical spectral model of surface pressure fluctuations. AIAA J. 42 (9), 1788–1794.CrossRefGoogle Scholar
Gravante, S.P., Naguib, A.M., Wark, C.E. & Nagib, H.M. 1998 Characterization of the pressure fluctuations under a fully developed turbulent boundary layer. AIAA J. 36 (10), 1808–1816.CrossRefGoogle Scholar
Hayes, M.H. 1996 Statistical Digital Signal Processing and Modeling. John Wiley & Sons.Google Scholar
Hutchins, N., Chauhan, K., Marusic, I., Monty, J. & Klewicki, J. 2012 Towards reconciling the large-scale structure of turbulent boundary layers in the atmosphere and laboratory. Boundary-Layer Meteorol. 145, 273–306.CrossRefGoogle Scholar
Hutchins, N. & Marusic, I. 2007 a Evidence of very long meandering features in the logarithmic region of turbulent boundary layers. J. Fluid Mech. 579, 1–28.CrossRefGoogle Scholar
Hutchins, N. & Marusic, I. 2007 b Large-scale influences in near-wall turbulence. Phil. Trans. R. Soc. A 365, 647–664.CrossRefGoogle ScholarPubMed
Hutchins, N., Monty, J.P., Ganapathisubramani, B., Ng, H.C.H. & Marusic, I. 2011 Three-dimensional conditional structure of a high-Reynolds-number turbulent boundary layer. J. Fluid Mech. 673, 155–285.CrossRefGoogle Scholar
Hwang, Y.F., Bonness, W.K. & Hambric, S.A. 2009 Comparison of semi-empirical models for turbulent boundary layer wall pressure spectra. J. Sound Vib. 319, 199–217.CrossRefGoogle Scholar
Johansson, A.V., Her, J.Y. & Haritonidis, J.H. 1987 On the generation of high-amplitude wall-pressure peaks in turbulent boundary layers and spots. J. Fluid Mech. 175, 119–142.CrossRefGoogle Scholar
Johnson, M.R. & Kostiuk, L.W. 2000 Efficiencies of low-momentum jet diffusion flames in crosswinds. Combust. Flame 123, 189–200.CrossRefGoogle Scholar
Karangelen, C.C., Wilczynski, V. & Casarella, M.J. 1993 Large amplitude wall pressure events beneath a turbulent boundary layer. Trans. ASME J. Fluids Engng 115 (4), 653–659.CrossRefGoogle Scholar
Keith, W.L., Hurdis, D.A. & Abraham, B.M. 1992 A comparison of turbulent boundary layer wall-pressure spectra. Trans. ASME J. Fluids Engng 114 (3), 338–347.CrossRefGoogle Scholar
Kim, J. 1983 On the structure of wall-bounded turbulent flows. Phys. Fluids 26, 2088.CrossRefGoogle Scholar
Kim, K.C. & Adrian, R.J. 1999 Very large-scale motion in the outer layer. Phys. Fluids 11 (2), 417.CrossRefGoogle Scholar
Kim, J., Choi, J.I. & Sung, H.J. 2002 Relationship between wall pressure fluctuations and streamwise vortices in a turbulent boundary layer. Phys. Fluids 14, 898.CrossRefGoogle Scholar
Klewicki, J.C., Priyadarshana, P.J.A. & Metzger, M.M. 2008 Statistical structure of the fluctuating wall pressure and its in-plane gradients at high Reynolds number. J. Fluid Mech. 609, 195–220.CrossRefGoogle Scholar
Kobashi, Y. & Ichijo, M. 1986 Wall pressure and its relation to turbulent structure of a boundary layer. Exp. Fluids 4, 49–55.CrossRefGoogle Scholar
Lee, J., Lee, J.H., Choi, J.I. & Sung, H.J. 2014 Spatial organization of large- and very-large-scale motions in a turbulent channel flow. J. Fluid Mech. 749, 818–840.CrossRefGoogle Scholar
Lee, J.H. & Sung, H.J. 2011 Very-large-scale motions in a turbulent boundary layer. J. Fluid Mech. 673, 80–120.CrossRefGoogle Scholar
Leehey, P. 1988 Structural excitation by a turbulent boundary layer: an overview. J. Vib. Acoust. Stress Reliab. 110 (2), 220–225.CrossRefGoogle Scholar
Lueptow, R.M. 1995 Transducer resolution and the turbulent wall pressure spectrum. J. Acoust. Soc. Am. 97, 370–378.CrossRefGoogle Scholar
Marusic, I. & Hutchins, N. 2008 Study of the log-layer structure in wall turbulence over a very large range of Reynolds number. Flow Turbul. Combust. 81, 115–130.CrossRefGoogle Scholar
Mathis, R., Hutchins, N. & Marusic, I. 2009 Large-scale amplitude modulation of the small-scale structures in turbulent boundary layers. J. Fluid Mech. 628, 311–337.CrossRefGoogle Scholar
McGrath, B.E. & Simpson, R.L. 1987 Some features of surface pressure fluctuations in turbulent boundary layers with zero and favorable pressure gradients. NASA Contractor Report 4051.Google Scholar
Mellert, V., Baumann, I., Freese, N. & Weber, R. 2008 Impact of sound and vibration on health, travel comfort and performance of flight attendants and pilots. Aerosp. Sci. Technol. 12, 18–25.CrossRefGoogle Scholar
Naka, Y. 2009 Simultaneous measurement of fluctuating velocity and pressure in turbulent free shear flows. PhD thesis, Keio University.Google Scholar
Naka, Y., Stanislas, M., Foucaut, J.-M., Coudert, S., Laval, J.-P. & Obi, S. 2015 Space-time pressure-velocity correlations in a turbulent boundary layer. J. Fluid Mech. 771, 624–675.CrossRefGoogle Scholar
Palumbo, D. 2012 Determining correlation and coherence lengths in turbulent boundary layer flight data. J. Sound Vib. 331, 3721–3737.CrossRefGoogle Scholar
Pan, C. & Kwon, Y. 2018 Extremely high wall-shear stress events in a turbulent boundary layer. J. Phys.: Conf. Ser. 1001, 012004.Google Scholar
Panton, R.L., Goldman, A.L., Lowery, R.L. & Reischman, M.M 1980 Low-frequency pressure fluctuations in axisymmetric turbulent boundary layers. J. Fluid Mech. 97 (2), 299–319.CrossRefGoogle Scholar
Panton, R.L. & Linebarger, J.H. 1974 Wall pressure spectra calculations for equilibrium boundary layers. J. Fluid Mech. 65 (2), 261–287.CrossRefGoogle Scholar
Raffel, M., Willert, C.E., Scarano, F., Kähler, C., Wereley, S.T. & Kompenhans, J. 2018 Particle Image Velocimetry: A Practical Guide. Springer.CrossRefGoogle Scholar
Schewe, G. 1983 On the structure and resolution of wall-pressure fluctuations associated with turbulent boundary-layer flow. J. Fluid Mech. 134, 311–328.CrossRefGoogle Scholar
Sciacchitano, A. 2019 Uncertainty quantification in particle image velocimetry. Meas. Sci. Technol. 30, 092001.CrossRefGoogle Scholar
Sciacchitano, A. & Wieneke, B. 2016 PIV uncertainty propagation. Meas. Sci. Technol. 27, 084006.CrossRefGoogle Scholar
Shaw, R. 1960 The influence of hole dimensions on static pressure measurements. J. Fluid Mech. 7, 550–564.CrossRefGoogle Scholar
Smits, A.J., McKeon, B.J. & Marusic, I. 2011 High-Reynolds number wall turbulence. Annu. Rev. Fluid Mech. 43, 353–375.CrossRefGoogle Scholar
Thomas, A.S.W. & Bull, M.K. 1983 On the role of wall-pressure fluctuations in deterministic motions in the turbulent boundary layer. J. Fluid Mech. 128, 283–322.CrossRefGoogle Scholar
Tsuji, Y., Fransson, J.H.M., Alfredsson, P.H. & Johansson, A.V. 2007 Pressure statistics and their scaling in high-Reynolds-number turbulent boundary layers. J. Fluid Mech. 585, 1–40.CrossRefGoogle Scholar
Tsuji, Y., Imayama, S., Schlatter, P., Alfredsson, P.H., Johansson, A.V., Marusic, I., Hutchins, N. & Monty, J. 2012 Pressure fluctuations in high-Reynolds-number turbulent boundary layer: results from experiments and DNS. J. Turbul. 13 (50), 1–19.CrossRefGoogle Scholar
Van Blitterswyk, J. & Rocha, J. 2017 An experimental study of the wall-pressure fluctuations beneath low Reynolds number turbulent boundary layers. J. Acoust. Soc. Am. 141, 1257.CrossRefGoogle ScholarPubMed
Wieneke, B. 2005 Stereo-PIV using self-calibration on particle images. Exp. Fluids 39 (2), 267–280.CrossRefGoogle Scholar
Wilby, J.F. 1996 Aircraft interior noise. J. Sound Vib. 190 (3), 545–564.CrossRefGoogle Scholar
Willmarth, W.W. 1975 Pressure fluctuations beneath turbulent boundary layers. Annu. Rev. Fluid Mech. 7, 13–36.CrossRefGoogle Scholar
Willmarth, W.W. & Wooldridge, C.E. 1962 Measurements of the fluctuating pressure at the wall beneath a thick turbulent boundary layer. J. Fluid Mech. 14 (2), 187–210.CrossRefGoogle Scholar