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Noise generation by turbulence–propeller interaction in asymmetric flow

Published online by Cambridge University Press:  07 October 2014

Rosalyn A. V. Robison  and
N. Peake
Rosalyn A. V. Robison
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
N. Peake*
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
*
†Email address for correspondence: [email protected]
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Abstract

This paper is concerned with a particular source of both broadband and tonal aeroengine noise, termed unsteady distortion noise. This noise arises from the interaction between turbulent eddies, which occur naturally in the atmosphere or are shed from the fuselage, and the rotor. This interaction produces broadband noise across a broad frequency spectrum. In cases in which there is strong streamtube contraction, which is especially true for open rotors at low-speed conditions (such as at take-off or for static testing), tonal noise at frequencies equal to multiples of the blade passing frequency are also produced, owing to the enhanced axial coherence caused by eddy stretching. In a previous paper (Majumdar & Peake, J. Fluid Mech., vol. 359, 1998, pp. 181–216), a model for unsteady distortion noise was developed in axisymmetric flow. However, asymmetric situations are also of much interest, and in this paper we consider two cases of asymmetric distortion: firstly that induced by the proximity of a second rotor, and secondly that caused by non-zero inclination to the flight direction, as found at take-off. This requires significant extension of the previous axisymmetric analysis. We find that the introduction of asymmetric flow features can have a significant decibel effect on the radiated sound power. For instance, in low-speed conditions we find that the tonal level is reduced significantly by the proximity of a second rotor, compared to the axisymmetric case, while the effect on the broadband levels is rather modest.

JFM classification

Acoustics: Acoustics Acoustics: Aeroacoustics
Type
Papers
Information
Journal of Fluid Mechanics , Volume 758 , 10 November 2014 , pp. 121 - 149
Copyright
© 2014 Cambridge University Press 

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Footnotes

‡

Present address: Global Sustainability Institute, Anglia Ruskin University, East Road, Cambridge CB1 1PT, UK.

References

Alexander, N., Devenport, W., Morton, M. A. & Glegg, S. A. L.2013. Noise from a rotor ingesting a planar turbulent boundary layer. In Proceedings of 19th AIAA/CEAS Aeroacoustics Conference, Berlin, 27–29 May. AIAA 2013-2285.Google Scholar
Amiet, R. K. 1975 Acoustic radiation from an airfoil in a turbulent stream. J. Sound Vib. 41 (4), 407–420.Google Scholar
Amiet, R. K., Simonich, J. C. & Schlinker, R. H. 1990 Rotor noise due to atmospheric turbulence ingestion. Part II: aeroacoustic results. J. Aircraft 27 (1), 15–22.Google Scholar
Ayton, L. J. & Peake, N. 2014 On high-frequency sound generation by gust–aerofoil interaction in shear flow. J. Fluid Mech. (submitted).Google Scholar
Blandeau, V. P.2011 Aerodynamic broadband noise from contra-rotating open rotors. PhD thesis, University of Southampton.Google Scholar
Cargill, A. M.1993. A theory for fan unsteady distortion noise. Report TSG0675. Theoretical Science Group, Rolls-Royce.Google Scholar
Crighton, D. G. & Parry, A. B. 1991 Asymptotic theory of propeller noise. Part II: supersonic single-rotation propeller. AIAA J. 29, 2031–2037.CrossRefGoogle Scholar
Cumpsty, N. A. & Lowrie, B. W. 1974 The cause of tone generation by aeroengine fans at high subsonic speeds and the effect of forward speed. J. Engng Power 96 (3), 228–234.Google Scholar
Dowling, A. P. & Ffowcs Williams, J. E. 1983 Sound and Sources of Sound. Ellis Horwood.Google Scholar
Ffowcs Williams, J. E. & Hawkings, D. L. 1969 Sound generation by turbulence and surfaces in arbitrary motion. Phil. Trans. R. Soc. Lond. 265, 321–342.Google Scholar
Glegg, S. A. L., Devenport, W. & Alexander, N. 2014 Broadband rotor noise predictions using a time domain approach. J. Sound Vib., doi:10.1016/j.jsv.2014.09.007.Google Scholar
Glegg, S. A. L. & Jochault, C. 1998 Broadband self-noise from a ducted fan. AIAA J. 36 (8), 1387–1395.Google Scholar
Glegg, S. A. L., Kawashima, E., Lachowski, F., Devenport, W. & Alexander, N.2013 Inflow distortion noise in a non axisymmetric flow. In Proceedings of 19th AIAA/CEAS Aeroacoustics Conference, Berlin, 27–29 May. AIAA 2013-2286.Google Scholar
Goldstein, M. E. 1978a Characteristics of the unsteady motion on transversely sheared mean flows. J. Fluid Mech. 84, 305–329.Google Scholar
Goldstein, M. E. 1978b Unsteady vortical and entropic distortions of potential flows round arbitrary obstacles. J. Fluid Mech. 89 (3), 433–468.Google Scholar
Gradshteyn, I. S. & Ryzhik, I. M. 1980 Table of Integrals, Series and Products. Academic Press.Google Scholar
Hanson, D. B. 1974 Spectrum of rotor noise caused by atmospheric turbulence. J. Acoust. Soc. Am. 56 (1), 110–126.Google Scholar
Hanson, D. B. 1995 Sound from a propeller at angle of attack: a new theoretical viewpoint. Proc. Math. Phys. Sci. 449 (1936), 315–328.Google Scholar
Hanson, D. B.2001 Theory for broadband noise of rotor and stator cascades with inhomogeneous inflow turbulence including effects of lean and sweep. NASA Contractor Report. United Technologies Corporation.Google Scholar
Homicz, G. F. & George, A. R. 1974 Broadband and discrete frequency radiation from subsonic rotors. J. Sound Vib. 36 (2), 151–177.Google Scholar
Hough, G. R. & Ordway, D. E. 1965 The generalized actuator disk. In Developments in Theoretical Mechanics (ed. Shaw, W. A.), vol. II, pp. 317–336. Pergamon Press.Google Scholar
Hunt, J. C. R. 1973 A theory of turbulent flow round two-dimensional bluff bodies. J. Fluid Mech. 61 (4), 625–706.Google Scholar
Kingan, M. J. & McAlpine, A. 2010 Propeller tone scattering. In Proceedings of 17th International Congress on Sound and Vibration, Cairo, Egypt, 18–22 July 2010.Google Scholar
Lighthill, M. J. 1956 Drift. J. Fluid Mech. 1, 31–53.Google Scholar
Lloyd, A. E. D.2009 Rotor stator interaction noise. PhD thesis, University of Cambridge.Google Scholar
Majumdar, S. J.1996 Unsteady distortion noise. PhD thesis, University of Cambridge.Google Scholar
Majumdar, S. J. & Peake, N. 1998 Noise generation by the interaction between ingested turbulence and a rotating fan. J. Fluid Mech. 359, 181–216.Google Scholar
Mani, R. 1971 Noise due to interaction of inlet turbulence with isolated stators and rotors. J. Sound Vib. 17 (2), 251–260.Google Scholar
Parry, A. B.1988 Theoretical prediction of counter-rotating propeller noise. PhD thesis, University of Leeds.Google Scholar
Parry, A. B. & Crighton, D. G. 1989 Asymptotic theory of propeller noise. Part I: subsonic single-rotation propeller. AIAA J. 27, 1184–1190.Google Scholar
Paterson, R. W. & Amiet, R. K. 1982 Noise of a model helicopter rotor due to ingestion of isotropic turbulence. J. Sound Vib. 85 (4), 551–577.Google Scholar
Peake, N. & Parry, A. B. 2012 Modern challenges facing turbomachinery aeroacoustics. Annu. Rev. Fluid Mech. 44, 227–248.Google Scholar
Posson, H., Beriot, H. & Moreau, S. 2013 On the use of an analytical cascade response function to predict sound transmission through an annular cascade. J. Sound Vib. 332, 3706–3739.Google Scholar
Posson, H., Moreau, S., Beriot, H., de l’Epine, Y. B. & Schram, C.2010 Prediction of sound transmission through an annular cascade using an analytical cascade response function. In Proceedings of 16th AIAA/CEAS Aeroacoustics Conference, Stockholm, 7–9 June. AIAA 2010-4030.Google Scholar
Robison, R. A. V.2011 Turbulence ingestion noise of open rotors. PhD thesis, University of Cambridge.Google Scholar
Sharland, I. J. 1964 Sources of noise in axial flow fans. J. Sound Vib. 1 (3), 302–322.Google Scholar
Simonich, J. C., Amiet, R. K., Schlinker, R. H. & Greitzer, E. M. 1990 Rotor noise due to atmospheric turbulence ingestion. Part I: fluid mechanics. J. Aircraft 27 (1), 7–14.Google Scholar
Smith, S. N.1973 Discrete frequency sound generation in axial flow turbomachines. Aeronautical Research Council Reports and Memoranda 3709. UK Ministry of Defence.Google Scholar
Smith, B. A. 1985 McDonnell Douglas nears commitment to fly propfan on MD-80 testbed. Aviation Week Space Technology 122 (20), 32–33.Google Scholar
Whitehead, D. S.1987 Classical two-dimensional methods. In Manual on Aeroelasticity in Axial-Flow Turbomachinery. AGARD-AG-298, vol. 1. Advisory Group for Aerospace Research and Development.Google Scholar
Wilson, D. K., Brasseur, J. G. & Gilbert, K. E. 1999 Acoustic scattering and the spectrum of atmospheric turbulence. J. Acoust. Soc. Am. 105 (1), 30–34.Google Scholar
Wilson, D. K. & Thomson, D. W. 1994 Acoustic propagation through anisotropic, surface-layer turbulence. J. Acoust. Soc. Am. 96 (2), 1080–1095.Google Scholar