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A secondary modulation mechanism for aerofoil tonal self-noise generation

Published online by Cambridge University Press:  06 June 2022

Yannian Yang Open the ORCID record for Yannian Yang [Opens in a new window] ,
Stefan Pröbsting Open the ORCID record for Stefan Pröbsting [Opens in a new window] ,
Pengyu Li ,
Yu Liu Open the ORCID record for Yu Liu [Opens in a new window]  and
Ye Li Open the ORCID record for Ye Li [Opens in a new window]
Yannian Yang
Affiliation:
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, Unmanned Aerial Vehicle Systems Engineering Technology Research Center of Guangdong, School of Automation Science and Engineering, South China University of Technology, Guangzhou 510640, PR China
Stefan Pröbsting
Affiliation:
Multi-function Towing Tank Laboratory, Department of Naval Architecture and Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
Pengyu Li
Affiliation:
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
Yu Liu*
Affiliation:
Department of Mechanics and Aerospace Engineering, Southern University of Science and Technology, Shenzhen 518055, PR China
Ye Li
Affiliation:
Multi-function Towing Tank Laboratory, Department of Naval Architecture and Ocean Engineering, Shanghai Jiao Tong University, Shanghai 200240, PR China
*
†Email address for correspondence: liuy@sustech.edu.cn
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Abstract

Acoustic emission of a NACA 0012 aerofoil is investigated over a range of free-stream velocities. Acoustic spectra show a dominant tone and two sets of weaker side tones characterised by different frequency intervals. The frequency of the dominant tones in the acoustic spectra varies with velocity in a ladder-type structure. With increasing Reynolds number, the spectrum becomes progressively more broadband in nature. Through synchronised particle image velocimetry and acoustic measurements, the aeroacoustic noise generation mechanisms, resulting in different spectral characteristics and modulation types, are further investigated. A separation bubble and related significant velocity fluctuations are observed on the pressure side. Pressure side velocity spectra show characteristics similar to the acoustic ones, whereas velocity spectra on the suction side feature broadband characteristics. These findings confirm that noise emission is dominated by pressure side events for the Reynolds number range of this study, i.e. $2 \times 10^{5}$–$7 \times 10^{5}$. As the acoustic emission is defined by coherent flow structures, the proper orthogonal decomposition method is adopted to facilitate the understanding of the relation between the complex flow field and acoustic emission. Side tones in the acoustic spectra are attributed to two different modulation mechanisms in the aeroacoustic source region near the trailing edge. By aligning the sound pressure time history and the time coefficients of the dominant modes, the primary modulation of the dominant tone is found to be related to the amplitude modulation of the high-frequency velocity fluctuations associated with the acoustic feedback loop. A secondary modulation is attributed to periodic variation of the separation bubble and, therefore, variation in the roll-up of the shear layer, which results in a modulation of the amplitude of the velocity fluctuations associated with the convecting vortices at the trailing edge.

JFM classification

Acoustics: Aeroacoustics Boundary Layers: Boundary layer structure
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 943 , 25 July 2022 , A13
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

Alam, M. & Sandham, N.D. 2000 Direct numerical simulation of short laminar separation bubbles with turbulent reattachment. J. Fluid Mech. 410, 1–28.CrossRefGoogle Scholar
Amiet, R.K. 1975 Acoustic radiation from an airfoil turbulent stream. J. Sound Vib. 41 (4), 407–420.CrossRefGoogle Scholar
Arbey, H. & Bataille, J. 1983 Noise generated by airfoil profiles placed in a uniform laminar flow. J. Fluid Mech. 134, 33–47.CrossRefGoogle Scholar
Arcondoulis, E., Doolan, C.J., Zander, A.C., Brooks, L.A. & Liu, Y. 2019 a An investigation of airfoil dual acoustic feedback mechanisms at low-to-moderate Reynolds number. J. Sound Vib. 460, 114887.CrossRefGoogle Scholar
Arcondoulis, E., Liu, Y. & Xu, P. 2019 b An investigation of the facility effects on NACA0012 airfoil tonal noise. AIAA Paper 2019-2607.CrossRefGoogle Scholar
Bendat, J.S. & Piersol, A.G. 2010 Random data: Analysis and Measurement Procedures. Wiley.CrossRefGoogle Scholar
Berkooz, G., Holmes, P. & Lumley, J.L. 1993 The proper orthogonal decomposition in the analysis of turbulent flows. Annu. Rev. Fluid Mech. 25, 539–575.CrossRefGoogle Scholar
Boutilier, M.S.H. & Yarusevych, S. 2012 Parametric study of separation and transition characteristics over an airfoil at low Reynolds numbers. Exp. Fluids 52, 1491–1506.CrossRefGoogle Scholar
Brooks, T.F., Marcolini, A. & Pope, D.S. 1986 Airfoil trailing-edge flow measurements. AIAA J. 24 (8), 1245–1251.CrossRefGoogle Scholar
Chen, L. 2015 Aspects of POD-based wall-layer modeling for the variational multiscale methods. Ph.D. thesis, Delft University of Technology.Google Scholar
Chong, T.P. & Joseph, P. 2009 An experimental study of tonal noise mechanism of laminar airfoil. AIAA Paper 2009-3345.CrossRefGoogle Scholar
Chong, T.P. & Joseph, P. 2012 Ladder structure in tonal noise generated by laminar flow around an airfoil. J. Acoust. Soc. Am. 131 (6), EL461–EL467.CrossRefGoogle ScholarPubMed
Chong, T.P. & Joseph, P. 2013 An experimental study of airfoil instability tonal noise with trailing edge serrations. J. Sound Vib. 332, 6335–6358.CrossRefGoogle Scholar
Desquesnes, G., Terracol, M. & Sagaut, P. 2007 Numerical investigation of the tone noise mechanism over laminar airfoils. J. Fluid Mech. 591, 155–182.CrossRefGoogle Scholar
Fink, M.R. 1974 Prediction of airfoil tone frequencies. J. Aircraft 12, 118–120.CrossRefGoogle Scholar
Golubev, V. 2021 Recent advances in acoustics of transitional airfoils with feedback-loop interactions: a review. Appl. Sci. 11 (3), 1057.CrossRefGoogle Scholar
Hain, R., Kähler, C.J. & Radespiel, R. 2009 Dynamics of laminar separation bubbles at low-Reynolds-number aerofoils. J. Fluid Mech. 630, 129–153.CrossRefGoogle Scholar
Henning, A., Kaepernick, K., Ehrenfried, K., Koop, L. & Dillmann, A. 2008 Investigation of aeroacoustic noise generation by simultaneous particle image velocimetry and microphone measurements. Exp. Fluids 45, 1073–1085.CrossRefGoogle Scholar
Jin, L., Sun, H., Jiang, J., Liang, Y. & Zhang, J. 2021 Suppression of low-frequency pressure pulsations in an open jet wind tunnel by corner vortex generators. AIP Adv. 11 (6), 065306.CrossRefGoogle Scholar
Jones, L.E. & Sandberg, R.D. 2011 Numerical analysis of tonal airfoil self-noise and acoustic feedback-loops. J. Sound Vib. 330, 6137–6152.CrossRefGoogle Scholar
Jones, L.E., Sandberg, R.D. & Sandham, N.D. 2008 Direct numerical simulations of forced and unforced separation bubbles on an airfoil at incidence. J. Fluid Mech. 602, 175–207.CrossRefGoogle Scholar
Kingan, M.J. & Pearse, J.R. 2009 Laminar boundary layer instability noise produced by an aerofoil. J. Sound Vib. 322, 808–828.CrossRefGoogle Scholar
Kirby, M., Boris, J. & Sirovich, L. 1990 An eigenfunction analysis of axisymmetric jet flow. J. Comput. Phys. 90 (1), 98–122.CrossRefGoogle Scholar
Kourentis, L. & Konstantinidis, E. 2012 Uncovering large-scale coherent structures in natural and forced turbulent wakes by combining PIV, POD, and FTLE. Exp. Fluids 52, 749–763.CrossRefGoogle Scholar
Kurelek, J.W., Kotsonis, M. & Yarusevych, S. 2018 Transition in a separation bubble under tonal and broadband acoustic excitation. J. Fluid Mech. 853, 1–36.CrossRefGoogle Scholar
Lengani, D., Simoni, D., Ubaldi, M. & Zunino, P. 2014 POD analysis of the unsteady behavior of a laminar separation bubble. Exp. Therm. Fluid Sci. 58, 70–79.CrossRefGoogle Scholar
León, C.A., Merino-Martínez, R. & Ragni, D. 2016 Boundary layer characterization and acoustic measurements of flow-aligned trailing edge serrations. Exp. Fluids 57, 182.CrossRefGoogle Scholar
Longhouse, R.E. 1977 Vortex shedding noise of low tip speed axial flow fans. J. Sound Vib. 53, 25–46.CrossRefGoogle Scholar
Marxen, O. & Henningson, D.S. 2011 The effect of small-amplitude convective disturbances on the size and bursting of a laminar separation bubble. J. Fluid Mech. 671, 1–33.CrossRefGoogle Scholar
Marxen, O., Lang, M. & Rist, U. 2013 Vortex formation and vortex breakup in a laminar separation bubble. J. Fluid Mech. 728, 58–90.CrossRefGoogle Scholar
Maucher, U., Rist, U., Kloker, M. & Wagner, S. 2000 DNS of laminar-turbulent transition in separation bubbles. In High-Performance Computing in Science and Engineering (ed. E. Krause & W. Jager). Springer.CrossRefGoogle Scholar
Nakano, T., Fujisawa, N. & Lee, S. 2006 Measurement of tonal-noise characteristics and periodic flow structure around NACA0018 airfoil. Exp. Fluids 40 (3), 482–490.CrossRefGoogle Scholar
Nash, E.C., Lowson, M.V. & McAlpine, A. 1999 Boundary-layer instability noise on aerofoils. J. Fluid Mech. 382, 27–61.CrossRefGoogle Scholar
Nguyen, L., Golubev, V., Mankbadi, R., Yakhina, G. & Roger, M. 2021 Numerical investigation of tonal trailing-edge noise radiated by low Reynolds number airfoils. Appl. Sci. 11 (5), 2257.CrossRefGoogle Scholar
Oerlemans, S. 2003 Wind tunnel aeroacoustic tests of six airfoils for use on small wind turbines. Tech. Rep. NREL/SR-500-34470. National Aerospace Laboratory, Emmeloord, The Netherlands.Google Scholar
van Oudheusden, B.W., Scarano, F., van Hinsberg, N.P. & Watt, D.W. 2005 Phase-resolved characterization of vortex shedding in the near wake of a square-section cylinder at incidence. Exp. Fluids 39 (1), 86–98.CrossRefGoogle Scholar
Paterson, R.W., Vogt, P., Fink, M.R. & Munch, C. 1973 Vortex noise of isolated airfoils. J. Aircraft 10 (5), 296–302.CrossRefGoogle Scholar
Plogmann, B., Herrig, A. & Würz, W. 2013 Experimental investigations of a trailing edge noise feedback mechanism on a NACA 0012 airfoil. Exp. Fluids 54, 1480.CrossRefGoogle Scholar
Pröbsting, S., Scarano, F. & Morris, S.C. 2015 Regimes of tonal noise on an airfoil at moderate Reynolds number. J. Fluid Mech. 780, 407–438.CrossRefGoogle Scholar
Pröbsting, S., Serpieri, J. & Scarano, F. 2014 Experimental investigation of aerofoil tonal noise generation. J. Fluid Mech. 747, 656–687.CrossRefGoogle Scholar
Pröbsting, S. & Yarusevych, S. 2015 Laminar separation bubble development on an airfoil emitting tonal noise. J. Fluid Mech. 780, 167–191.CrossRefGoogle Scholar
Pröbsting, S. & Yarusevych, S. 2021 Airfoil flow receptivity to simulated tonal noise emissions. Phys. Fluids 33, 044106.CrossRefGoogle Scholar
Pröbsting, S., Zamponi, M., Ronconi, S., Guan, Y., Morris, S.C. & Scarano, F. 2016 Vortex shedding noise from a beveled trailing edge. Intl J. Aeroacoust. 15 (8), 712–733.CrossRefGoogle Scholar
Raffel, M., Willert, C., Wereley, S. & Kompenhans, J. 1998 Parcile Image Velocimetry: A Practical Guide. Springer.CrossRefGoogle Scholar
Ribeiro, J.H.M. & Wolf, W.R. 2017 Identification of coherent structures in the flow past a NACA0012 airfoil via proper orthogonal decomposition. Phys. Fluids 29, 085104.CrossRefGoogle Scholar
Ricciardi, T.R., Arias-Ramirez, W. & Wolf, W.R. 2020 On secondary tones arising in trailing-edge noise at moderate Reynolds numbers. Eur. J. Mech. B/Fluids 79, 54–66.CrossRefGoogle Scholar
Ricciardi, T.R., Ribeiro, J.H.M. & Wolf, W.R. 2019 Analysis of coherent structures in large-eddy simulations of a NACA0012 airfoil. AIAA Paper 2019-0320.Google Scholar
Robinet, J.C. 2013 Instabilities in laminar separation bubbles. J. Fluid Mech. 732, 1–4.CrossRefGoogle Scholar
Rockwell, D. & Naudascher, E. 1979 Self-sustained oscillations of impinging free shear layers. Annu. Rev. Fluid Mech. 11, 67–94.CrossRefGoogle Scholar
Sandberg, R.D., Jones, L.E., Sandham, N.D. & Joseph, P.F. 2009 Direct numerical simulations of tonal noise generated by laminar flow past airfoils. J. Sound Vib. 320, 838–858.CrossRefGoogle Scholar
Sanjose, M., Towne, A., Jaiswal, P., Moreau, S., Lele, S. & Mann, A. 2019 Modal analysis of the laminar boundary layer instability and tonal noise of an airfoil at Reynolds number 150,000. Intl J. Aeroacoust. 18 (2–3), 317–350.CrossRefGoogle Scholar
Schlichting, H. & Gersten, K. 2017 Boundary-Layer Theory. Springer.CrossRefGoogle Scholar
Schrijer, F.F.J., Sciacchitano, A. & Scarano, F. 2014 Spatio-temporal and modal analysis of unsteady fluctuations in a high-subsonic base flow. Phys. Fluids 26 (8), 086101.CrossRefGoogle Scholar
Sciacchitano, A., Wieneke, B. & Scarano, F. 2013 PIV uncertainty quantification by image matching. Meas. Sci. Technol. 24, 045302.CrossRefGoogle Scholar
Sirovich, L. 1987 Turbulence and the dynamics of coherent structures, part I: coherent structures. Q. Appl. Maths 45, 561–571.CrossRefGoogle Scholar
Spalart, R. & Strelets, M. 2000 Mechanisms of transition and heat transfer in a separation bubble. J. Fluid Mech. 403, 329–349.CrossRefGoogle Scholar
Stalnov, O., Chaitanya, P. & Joseph, P.F. 2016 Towards a non-empirical trailing edge noise prediction model. J. Sound Vib. 372, 50–68.CrossRefGoogle Scholar
Tam, C.K.W. 1974 Discrete tones of isolated airfoils. Acoust. Soc. Am. 55 (6), 1173–1177.CrossRefGoogle Scholar
Wang, M., Moreau, S., Iaccarino, G. & Roger, M. 2009 LES prediction of wall-pressure fluctuations and noise of a low-speed airfoil. Intl J. Aeroacoust. 8 (3), 177–198.CrossRefGoogle Scholar
Wieneke, B. 2015 PIV uncertainty quantification from correlation statistics. Meas. Sci. Technol. 26, 074002.CrossRefGoogle Scholar
Williamson, C.H.K. 1996 Three-dimensional wake transition. J. Fluid Mech. 328, 345–407.CrossRefGoogle Scholar
Wissink, J. & Rodi, W. 2002 DNS of Transition in a Laminar Separation Bubble. In Advances in Turbulence IX, Proceedings of the Ninth European Turbulence Conference (ed. I.P. Castro & P.E. Hancock), pp. 727–730.Google Scholar
Wissink, J.G. & Rodi, W. 2003 DNS of a laminar separation bubble in the presence of oscillating flow. Flow Turbul. Combust. 71, 311–331.CrossRefGoogle Scholar
Wissink, J. & Rodi, W. 2004 DNS of a laminar separation bubble affected by free-stream disturbances. In Proceedings of the Fifth International Ercoftac Workshop on Direct and Large-Eddy Simulation (ed. R. Friedrichs), pp. 213–220. Springer.CrossRefGoogle Scholar
Yakhina, G., Roger, M., Moreau, S., Nguyen, L. & Golubev, V.V. 2020 Experimental and analytical investigation of the tonal trailing-edge noise radiated by low Reynolds number aerofoils. Acoustics 2, 293–329.CrossRefGoogle Scholar
Yang, Y., Liu, Y., Liu, R., Shen, C., Zhang, P., Wei, R., Liu, X. & Xu, P. 2021 a Design, validation, and benchmark tests of the aeroacoustic wind tunnel in SUSTech. Appl. Acoust. 175, 107847.CrossRefGoogle Scholar
Yang, Y., Pröbsting, S., Liu, Y., Zhang, H., Li, C. & Li, Y. 2021 b Effect of dual vortex shedding on airfoil tonal noise generation. Phys. Fluids 33, 075102.CrossRefGoogle Scholar
Yang, Y., Sciacchitano, A., Veldhuis, L.L.M. & Eitelberg, G. 2016 Spatial-temporal and modal analysis of propeller induced ground vortices by particle image velocimetry. Phys. Fluids 28, 105103.CrossRefGoogle Scholar
Yarusevych, S. & Kotsonis, M. 2017 Steady and transient response of a laminar separation bubble to controlled disturbances. J. Fluid Mech. 813, 955–990.CrossRefGoogle Scholar
Ye, Q., Schrijer, F.F.J. & Scarano, F. 2018 On Reynolds number dependence of micro-ramp-induced transition. J. Fluid Mech. 837, 597–626.CrossRefGoogle Scholar