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Experimental investigation of aerofoil tonal noise at low Mach number

Published online by Cambridge University Press:  09 December 2021

Prateek Jaiswal
Affiliation:
Department of Mechanical Engineering, University of Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
Yann Pasco
Affiliation:
Department of Mechanical Engineering, University of Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
Gyuzel Yakhina
Affiliation:
Department of Mechanical Engineering, University of Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
Stéphane Moreau*
Affiliation:
Department of Mechanical Engineering, University of Sherbrooke, Sherbrooke, QC, J1K 2R1, Canada
*
Email address for correspondence: stephane.smoreau@gmail.com

Abstract

This paper presents an experimental investigation of aerofoil tones emitted by a controlled-diffusion aerofoil at low Mach number ($0.05$), moderate Reynolds number based on the chord length ($1.4 \times 10^{5}$) and moderate incidence ($5^{\circ }$ angle of attack). Wall-pressure measurements have been performed along the suction side of the aerofoil to reveal the acoustic source mechanisms. In particular, a feedback loop is found to extend from the aerofoil trailing edge to the regions near the leading edge where the flow encounters a mean favourable pressure gradient, and consists of acoustic disturbances travelling upstream. Simultaneous wall-pressure, velocity and far-field acoustic measurements have been performed to identify the boundary-layer instability responsible for tonal noise generation. Causality correlation between far-field acoustic pressure and wall-normal velocity fluctuations has been performed, which reveals the presence of a Kelvin–Helmholtz-type modal shape within the velocity disturbance field. Tomographic particle image velocimetry measurements have been performed to understand the three-dimensional aspects of this flow instability. These measurements confirm the presence of large two-dimensional rollers that undergo three-dimensional breakdown just upstream of the trailing edge. Finally, modal decomposition of the flow has been carried out using proper orthogonal decomposition, which demonstrates that the normal modes are responsible for aerofoil tonal noise. The higher normal modes are found to undergo regular modulations in the spanwise direction. Based on the observed modal shape, an explanation of aerofoil tonal noise amplitude reduction is given, which has been previously reported in modular or serrated trailing-edge aerofoils.

Type
JFM Papers
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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References

REFERENCES

Amiet, R.K. 1976 Noise due to turbulent flow past a trailing edge. J. Sound Vib. 47 (3), 387393.CrossRefGoogle Scholar
Andan, A.D. & Lee, D.-J. 2018 Effect of external acoustic excitation on NACA0015 discrete tonal noise. Appl. Acoust. 141, 374381.CrossRefGoogle Scholar
Arbey, H. & Bataille, J. 1983 Noise generated by airfoil profiles placed in a uniform laminar flow. J. Fluid Mech. 134, 3347.CrossRefGoogle Scholar
Arcondoulis, E., Doolan, C.J., Zander, A.C. & Brooks, L.A. 2013 An experimental investigation of airfoil tonal noise caused by an acoustic feedback loop. In Proceedings of Acoustics 2013 – Victor Harbor, 17-20 November 2013, Victor Harbor, Australia.Google Scholar
Arcondoulis, E., Liu, Y. & Xu, P. 2019 An investigation of the facility effects on NACA 0012 airfoil tonal noise. AIAA Paper 2019-2607.CrossRefGoogle Scholar
Atassi, H.M. 1984 Feedback in separated flows over symmetric airfoils. AIAA paper-84-2297.CrossRefGoogle Scholar
Benedict, L.H. & Gould, R.D. 1996 Towards better uncertainty estimates for turbulence statistics. Exp. Fluids 22 (2), 129136.CrossRefGoogle Scholar
Brooks, T.F., Pope, D.S. & Marcolini, M.A. 1989 Airfoil self-noise and prediction. Tech. Rep. NASA-RP-1218. NASA.Google Scholar
Brown, G.L. & Roshko, A. 1974 On density effects and large structure in turbulent mixing layers. J. Fluid Mech. 64 (4), 775816.CrossRefGoogle Scholar
Burgmann, S. & Schröder, W. 2008 Investigation of the vortex induced unsteadiness of a separation bubble via time-resolved and scanning PIV measurements. Exp. Fluids 45 (4), 675691.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), EL461EL467.CrossRefGoogle ScholarPubMed
Del Álamo, J.C & Jiménez, J. 2009 Estimation of turbulent convection velocities and corrections to Taylor's approximation. J. Fluid Mech. 640, 526.CrossRefGoogle Scholar
Desquesnes, G, Terracol, M & Sagaut, P 2007 Numerical investigation of the tone noise mechanism over laminar airfoils. J. Fluid Mech. 591, 155182.CrossRefGoogle Scholar
Drazin, P. & Reid, W. 1981 Hydrodynamic Stability. Cambridge University Press.Google Scholar
Elyasi, M. & Ghaemi, S. 2019 Experimental investigation of coherent structures of a three-dimensional separated turbulent boundary layer. J. Fluid Mech. 859, 132.CrossRefGoogle Scholar
Farge, M. 1992 Wavelet transforms and their applications to turbulence. Annu. Rev. Fluid Mech. 24 (1), 395458.CrossRefGoogle Scholar
Fink, M.R 1975 Prediction of airfoil tone frequencies. J. Aircraft 12 (2), 118120.CrossRefGoogle Scholar
Fjørtoft, R. 1950 Application of integral theorems in deriving criteria of stability for laminar flows and for the baroclinic circular vortex. Grøndahl & søns boktr., I kommisjon hos Cammermeyers boghandel. pp. 25–26.Google Scholar
Gao, F., Ma, W., Zambonini, G., Boudet, J., Ottavy, X., Lu, L. & Shao, L.. 2015 Large-eddy simulation of 3-D corner separation in a linear compressor cascade. Phys. Fluids 25, 085105.CrossRefGoogle Scholar
Gelot, M.B.R. & Kim, J. 2020 Effect of serrated trailing edges on aerofoil tonal noise. J. Fluid Mech. 904, A30.CrossRefGoogle Scholar
Ghaemi, S., Ragni, D. & Scarano, F. 2012 PIV-based pressure fluctuations in the turbulent boundary layer. Exp. Fluids 53 (6), 18231840.CrossRefGoogle Scholar
Glegg, S.A.L & Devenport, W.J. 2001 Proper orthogonal decomposition of turbulent flows for aeroacoustic and hydroacoustic applications. J. Sound Vib. 239 (4), 767784.CrossRefGoogle Scholar
Glegg, S.A.L & Devenport, W.J. 2017 Aeroacoustics of Low Mach Number Flow: Fundamentals, Analysis and Measurement. Academic Press Elsevier.Google Scholar
Goldstein, M.E. 1983 The evolution of Tollmien–Schlichting waves near a leading edge. J. Fluid Mech. 127, 5981.CrossRefGoogle Scholar
Grandemange, M. 2013 Analysis and control of three-dimensional turbulent wakes: from axisymmetric bodies to road vehicles. PhD thesis, Ecole polytechnique, Palaiseau, France.Google 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 (6), 10731085.CrossRefGoogle Scholar
Holmes, P., Lumley, J.L., Berkooz, G. & Rowley, C.W. 2012 Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press.CrossRefGoogle Scholar
Howe, M.S. 1978 A review of the theory of trailing edge noise. J. Sound Vib. 61 (3), 437465.CrossRefGoogle Scholar
Huerre, P. & Monkewitz, P.A. 1985 Absolute and convective instabilities in free shear layers. J. Fluid Mech. 159, 151168.CrossRefGoogle Scholar
Jaiswal, P., Moreau, S., Avallone, F., Ragni, D. & Pröbsting, S. 2020 On the use of two-point velocity correlation in wall-pressure models for turbulent flow past a trailing edge under adverse pressure gradient. Phys. Fluids 32 (10), 105105.CrossRefGoogle Scholar
Kingan, M.J & Pearse, J.R 2009 Laminar boundary layer instability noise produced by an aerofoil. J. Sound Vib. 322 (4-5), 808828.CrossRefGoogle Scholar
Kraichnan, R.H. 1967 Inertial ranges in two-dimensional turbulence. Phys. Fluids 10 (7), 14171423.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, 136.CrossRefGoogle Scholar
Kurelek, J.W., Yarusevych, S. & Kotsonis, M. 2019 Vortex merging in a laminar separation bubble under natural and forced conditions. Phys. Rev. Fluids 4 (6), 063903.CrossRefGoogle Scholar
Ma, A., Gibeau, B. & Ghaemi, S. 2020 Time-resolved topology of turbulent boundary layer separation over the trailing edge of an airfoil. J. Fluid Mech. 891, A1.CrossRefGoogle Scholar
Maucher, U., Rist, U. & Wagner, S. 1997 Secondary Instabilities in a Laminar Separation Bubble, pp. 229–236. Springer.CrossRefGoogle Scholar
McAlpine, A. 1997 Generation of discrete frequency tones by the flow around an aerofoil. PhD thesis, University of Bristol, United Kingdom.Google Scholar
Michelis, T. 2017 Boundary layer separation: Diagnostics and control. PhD thesis, Delft University of Technology, Netherlands.Google Scholar
Michelis, T., Kotsonis, M. & Yarusevych, S. 2018 a Spanwise flow development within a laminar separation bubble under natural and forced transition. Exp. Therm. Fluid Sci. 96, 169179.CrossRefGoogle Scholar
Michelis, T., Yarusevych, S. & Kotsonis, M. 2018 b On the origin of spanwise vortex deformations in laminar separation bubbles. J. Fluid Mech. 841, 81108.CrossRefGoogle Scholar
Moreau, S., Laffay, P., Idier, A. & Atalla, N. 2016 Several noise control of the trailing-edge noise of a Controlled-Diffusion airfoil. AIAA Paper 2016-2816.CrossRefGoogle Scholar
Moreau, S. & Roger, M. 2005 Effect of airfoil aerodynamic loading on trailing edge noise sources. AIAA J. 43 (1), 4152.CrossRefGoogle Scholar
Moreau, S. & Roger, M. 2009 Back-scattering correction and further extensions of Amiet's trailing-edge noise model. Part II: application. J. Sound Vib. 323 (1-2), 397425.CrossRefGoogle Scholar
MRC Statistics 2016 UAV drones–global market outlook (2016–2022). Report ID: SMRC16075.Google Scholar
Nakano, T, Fujisawa, N & Lee, S 2006 Measurement of tonal-noise characteristics and periodic flow structure around NACA0018 airfoil. Exp. Fluids 40 (3), 482490.CrossRefGoogle Scholar
Nash, E.C., Lowson, M.V. & McAlpine, A. 1999 Boundary-layer instability noise on aerofoils. J. Fluid Mech. 382, 2761.CrossRefGoogle Scholar
Novara, M. 2013 Advances in tomographic PIV. PhD thesis, Delft University of Technology, Netherlands.Google Scholar
Padois, T., Laffay, P., Idier, A. & Moreau, S. 2015 Detailed experimental investigation of the aeroacoustic field around a Controlled-Diffusion airfoil. AIAA Paper 2015-2205.CrossRefGoogle Scholar
Padois, T., Laffay, P., Idier, A. & Moreau, S. 2016 Tonal noise of a controlled-diffusion airfoil at low angle of attack and Reynolds number. J. Acoust. Soc. Am. 140 (1), EL113EL118.CrossRefGoogle ScholarPubMed
de Pando, M.F. 2012 Tonal noise generation in flows around aerofoils: a global stability analysis. PhD thesis, Ecole Polytechnique, Palaiseau, France.Google Scholar
de Pando, M.F., Schmid, P.J. & Sipp, D. 2014 A global analysis of tonal noise in flows around aerofoils. J. Fluid Mech. 754, 538.CrossRefGoogle Scholar
Paterson, R.W., Vogt, P.G., Fink, M.R. & Munch, C.L. 1973 Vortex noise of isolated airfoils. J. Aircraft 10 (5), 296302.CrossRefGoogle Scholar
Perennes, S. & Roger, M. 1998 Aerodynamic noise of a two-dimensional wing with high-lift devices. AIAA Paper 1998-2338.CrossRefGoogle Scholar
Pröbsting, S. 2015 Airfoil self-noise-investigation with particle image velocimetry. PhD thesis, Technical University of Delft, Netherlands.Google Scholar
Pröbsting, S, Scarano, F & Morris, S.C. 2015 Regimes of tonal noise on an airfoil at moderate Reynolds number. J. Fluid Mech. 780, 407438.CrossRefGoogle Scholar
Pröbsting, S., Serpieri, J. & Scarano, F. 2014 Experimental investigation of aerofoil tonal noise generation. J. Fluid Mech. 747, 656687.CrossRefGoogle Scholar
Pröbsting, S & Yarusevych, S 2015 Laminar separation bubble development on an airfoil emitting tonal noise. J. Fluid Mech. 780, 167191.CrossRefGoogle Scholar
Pröbsting, S & Yarusevych, S 2021 Airfoil flow receptivity to simulated tonal noise emissions. Phys. Fluids 33 (4), 044106.CrossRefGoogle Scholar
Rafati, S & Ghaemi, S 2016 Evaluation of high magnification two and three dimensional particle image tracking/velocimetry in near wall turbulence. In 18th International Symposium on Applications of Laser and Imaging Techniques to Fluid Mechanics, Lisbon, Portugal.Google Scholar
Ragni, D., Avallone, F., van der Velden, W.C.P. & Casalino, D. 2019 Measurements of near-wall pressure fluctuations for trailing-edge serrations and slits. Exp. Fluids. 60 (1), 6.CrossRefGoogle Scholar
Roger, M. & Moreau, S. 2005 Back-scattering correction and further extensions of Amiet's trailing-edge noise model. Part 1: theory. J. Sound Vib. 286 (3), 477506.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), 317350.CrossRefGoogle Scholar
Saric, W.S., Reed, H.L. & Kerschen, E.J. 2002 Boundary-layer receptivity to freestream disturbances. Annu. Rev. Fluid Mech. 34 (1), 291319.CrossRefGoogle Scholar
Scarano, F. 2012 Tomographic PIV: principles and practice. Meas. Sci. Technol. 24 (1), 012001.CrossRefGoogle Scholar
Sirovich, L. 1987 Turbulence and the dynamics of coherent structures. I. Coherent structures. Q. Appl. Maths 45 (3), 561571.CrossRefGoogle Scholar
Tam, C.K.W. 1974 Discrete tones of isolated airfoils. J. Acoust. Soc. Am. 55 (6), 11731177.CrossRefGoogle Scholar
Tam, C.K.W. & Ju, H. 2012 Aerofoil tones at moderate Reynolds number. J. Fluid Mech. 690, 536570.CrossRefGoogle Scholar
Tam, C.K.W. & Reddy, N.N. 1977 Sound generated in the vicinity of the trailing edge of an upper surface blown flap. J. Sound Vib. 52 (2), 211232.CrossRefGoogle Scholar
Theofilis, V., Hein, S. & Dallmann, U. 2000 On the origins of unsteadiness and three-dimensionality in a laminar separation bubble. Phil. Trans. R. Soc. Lond. Ser. A: Math. Phys. Engng Sci. 358 (1777), 32293246.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), 177197.CrossRefGoogle Scholar
Watmuff, J.H. 1999 Evolution of a wave packet into vortex loops in a laminar separation bubble. J. Fluid Mech. 397, 119169.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), 187210.CrossRefGoogle Scholar
Wu, H., Sandberg, R.D. & Moreau, S. 2021 Stability characteristics of different aerofoil flows at $Re_c=150\ 000$ and the implications for aerofoil self-noise. J. Sound Vib. 506, 116152.CrossRefGoogle Scholar
Yakhina, G. 2017 Experimental study of the tonal trailing-edge noise generated by low-Reynolds number airfoils and comparison with numerical simulations. PhD thesis, Ecole Centrale Lyon, Lyon, France.Google Scholar
Yakhina, G., Roger, M., Moreau, S., Nguyen, L. & Golubev, V. 2020 Experimental and analytical investigation of the tonal trailing-edge noise radiated by low Reynolds number aerofoils. Acoustics 2, 293329.CrossRefGoogle Scholar
Zambonini, G. & Ottavy, X. 2015 Unsteady pressure investigations of corner separated flow in a linear compressor cascade. In ASME Turbo Expo 2015: Turbine Technical Conference and Exposition, pp. V02CT44A002–V02CT44A002. American Society of Mechanical Engineers.Google Scholar
Zhou, J., Adrian, R.J., Balachandar, S. & Kendall, T.M. 1999 Mechanisms for generating coherent packets of hairpin vortices in channel flow. J. Fluid Mech. 387, 353396.CrossRefGoogle Scholar