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Prediction of installed jet noise

  • B. Lyu (a1), A. P. Dowling (a1) and I. Naqavi (a1)


A semianalytical model for installed jet noise is proposed in this paper. We argue and conclude that there exist two distinct sound source mechanisms for installed jet noise, and the model is therefore composed of two parts to account for these different sound source mechanisms. Lighthill’s acoustic analogy and a fourth-order space–time correlation model for the Lighthill stress tensor are used to model the sound induced by the equivalent turbulent quadrupole sources, while the trailing-edge scattering of near-field evanescent instability waves is modelled using Amiet’s approach. A non-zero ambient mean flow is taken into account. It is found that, when the rigid surface is not so close to the jet as to affect the turbulent flow field, the trailing-edge scattering of near-field evanescent waves dominates the low-frequency amplification of installed jet noise in the far-field. The high-frequency noise enhancement on the reflected side is due to the surface reflection effect. The model agrees well with experimental results at different observer angles, apart from deviations caused by the mean-flow refraction effect at high frequencies at low observer angles.


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Amiet, R. K. 1975 Acoustic radiation from an airfoil in a turbulent stream. J. Sound Vib. 41 (4), 407420.
Amiet, R. K. 1976a High frequency thin-airfoil theory for subsonic flow. AIAA J. 14 (8), 10761082.
Amiet, R. K. 1976b Noise due to turbulent flow past a trailing edge. J. Sound Vib. 47 (3), 387393.
Amiet, R. K. 1978 Effect of the incident surface pressure field on noise due to turbulent flow past a trailing edge. J. Sound Vib. 57, 305306.
ANSYS 2015 Fluent Theory Guide Release 16.0. ANSYS, Inc.
Arndt, R., Long, D. F. & Glauser, M. N. 1997 The proper orthogonal decomposition of pressure fluctuations surrounding a turbulent jet. J. Fluid Mech. 340, 133.
Bailly, C., Candel, S. & Lafon, P. 1996 Prediction of supersonic jet noise from a statistical acoustic model and a compressible turbulence closure. J. Sound Vib. 194, 219242.
Bailly, C., Lafon, P. & Candel, S. 1994 Computation of subsonic and supersonic jet mixing noise using a modified k-𝜖 model for compressible free shear flows. Acta Acoust. 2, 101112.
Béchara, W., Lafon, P., Bailly, C. & Candel, S. M. 1995 Application of a k-𝜖 turbulence model to the prediction of noise for simple and coaxial jets. J. Acoust. Soc. Am. 97 (6), 35183531.
Bhat, T. R. S. & Blackner, A. M. 1998 Installed jet noise prediction model for coaxial jets. In Proceedings of 36th AIAA Aerospace Sciences Meeting and Exhibit, Reno, NV. AIAA Paper 98-79.
Bondarenko, M., Hu, Z. & Zhang, X. 2012 Large-eddy simulation of the interaction of a jet with a wing. In Proceedings of 18th AIAA/CEAS Aeroacoustics Conference, Colorado Springs. AIAA Paper 2012-2254.
Bridges, J. & Wernet, M. P. 2010 Establishing consensus turbulence statistics for hot subsonic jets. In Proceedings of 16th AIAA/CEAS Aeroacoustic Conference, Stockholm. AIAA Paper 2010-3751.
Brown, C. A. 2013 Jet-surface interaction test: far-field noise results. Trans. ASME J. Engng Gas Turbines Power 135 (7), 71201.
Bushell, K. 1975 Measurement and prediction of jet noise in flight. In Proceedings of 2nd Aeroacoustics Conference, Hampton, VA. AIAA Paper 75-461.
Bychkov, O. P. & Faranosov, G. A. 2014 On the possible mechanism of the jet noise intensification near a wing. Acoust. Phys. 60 (6), 633646.
Curle, N. 1955 The influence of solid boundaries upon aerodynamic sound. Proc. R. Soc. Lond A 231, 505514.
Fisher, M. J., Harper-Bourne, M. & Glegg, S. A. L. 1977 Jet engine noise source location: the polar correlation technique. J. Sound Vib. 51, 2354.
Goldstein, M. E. 2003 A generalized acoustic analogy. J. Fluid Mech. 488, 315333.
Gradshteyn, I. S. & Ryzhik, I. M. 2007 Table of Integrals, Series, and Products, 7th edn. Elsevier Academic.
Gudmundsson, K. & Colonius, T. 2011 Instability wave models for the near-field fluctuations of turbulent jets. J. Fluid Mech. 689, 97128.
Head, R. & Fisher, M. 1976 Jet/surface interaction noise – analysis of farfield low frequency augmentations of jet noise due to the presence of a solid shield. In Proceedings of 3rd Aeroacoustics Conference, Palo Alto, CA. AIAA Paper 76-502.
Jameson, A. 2008 Formulation of kinetic energy preserving conservative schemes for gas dynamics and direct numerical simulation of one-dimensional viscous compressible flow in a shock tube using entropy and kinetic energy preserving schemes. J. Sci. Comput. 34 (2), 188208.
Jordan, P. & Colonius, T. 2013 Wave packets and turbulent jet noise. Annu. Rev. Fluid Mech. 45, 173195.
Karabasov, S. A., Afsar, M. Z., Hynes, T. P., Dowling, A. P., McMullan, W. A., Pokora, C. D., Page, G. J. & McGuirk, J. J. 2010 Jet noise: acoustic analogy informed by large eddy simulation. AIAA J. 48 (7), 13121325.
Kerhervé, F., Fitzpatick, J. & Jordan, P. 2006 The frequency dependence of jet turbulence for noise source modelling. J. Sound Vib. 296, 209225.
Khavaran, A., Krejsa, E. A. & Kim, C. M. 1994 Computation of supersonic jet mixing noise for an axisymmetric convergent-divergent nozzle. J. Aircraft 31 (5), 603609.
Launder, B. E. & Spalding, D. B. 1974 The numerical computation of turbulent flows. Comput. Meth. Appl. Mech. Engng 3, 269289.
Lawrence, J. L. T., Azarpeyvand, M. & Self, R. H. 2011 Interaction between a flat plate and a circular subsonic jet. In Proceedings of the 17th AIAA CEAS Aeroacoustic Conference, Portland, Oregon. AIAA Paper 2011-2745.
Lighthill, M. J. 1952 On sound generated aerodynamically. I. General theory. Proc. R. Soc. Lond A 211 (1107), 564587.
Lighthill, M. J. 1954 On sound generated aerodynamically. II. Turbulence as a source of sound. Proc. R. Soc. Lond A 222, 132.
Lilley, G. M. 1974 On the noise from jets. AGARD Noise Mechanism CP-131 13, 112.
Lyu, B., Azarpeyvand, M. & Sinayoko, S. 2015 A trailing-edge noise model for serrated edges. In Proceedings of 21st AIAA/CEAS Aeroacoustics Conference, Dallas, TX. AIAA Paper 2015-2362.
Lyu, B., Azarpeyvand, M. & Sinayoko, S. 2016 Noise prediction for serrated trailing edges. J. Fluid Mech. 793, 556588.
Lyu, B. & Dowling, A. P. 2016 Noise prediction for installed jets. In Proceedings of 22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France. AIAA Paper 2016-2986.
Macdonald, H. M. 1915 A class of diffraction problem. Proc. Lond. Math. Soc. 14, 410427.
Mead, C. & Strange, P. 1998 Under-wing installation effects on jet noise at sideline. In Proceedings of 4th AIAA/CEAS Aeroacoustics Conference, Toulouse, France. AIAA Paper 98-2207.
Mohan, N. K. D., Dowling, A. P., Karabasov, S. A., Xia, H., Graham, O., Hynes, T. P. & Tucker, P. G. 2015 Acoustic sources and far-field noise of chevron and round jets. AIAA J. 00 (0), 116.
Moore, A. 2004 A 3D prediction of the wing reflection of aero engine noise. In Proceedings of 10th AIAA/CEAS Aeroacoustics Conference, Manchester, UK. AIAA Paper 2004-2865.
Naqavi, I. Z., Wang, Z.-N., Tucker, P. G., Mahak, M. & Strange, P. 2016 Far-field noise prediction for jets using large-eddy simulation (LES) and Ffowcs Williams-Hawkings (FW-H) method. Intl J. Aeroacoust. 15 (8), 757780.
Papamoschou, D. 2010 Prediction of jet noise shielding. In Proceedings of the 48th AIAA Aerospace Sciences Meeting, Irvine, CA. AIAA Paper 2010-653.
Pastouchenko, N. N. & Tam, C. K. W. 2007 Installation effects on the flow and noise of wing mounted jets. AIAA J. 45 (12), 28512860.
Pepper, C. B., Nascarella, M. A. & Kendall, R. J. 2003 A review of the effects of aircraft noise on wildlife and humans, current control mechanisms, and the need for further study. Environ. Manage. 32, 3024.
Piantanida, S., Jaunet, V., Huber, J., Wolf, W., Jordan, P. & Cavalieri, A. V. G. 2015 Scattering of turbulent-jet wavepackets by a swept trailing edge. In Proceedings of 21st AIAA/CEAS Aeroacoustic Conference, Dallas, TX. AIAA Paper 2015-2998.
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 (1–2), 477506.
Sengupta, G. 1983 Analysis of jet-airframe interaction noise. In Proceedings of 8th Aeroacoustics Conference, Seatte, WA. AIAA Paper 83-783.
Shearin, J. G.1983 Investigation of jet-installation noise sources under static conditions. NASA Tech. Rep. 2181.
Stevens, R., Bryce, W. & Szewczyk, V. 1983 Model and full-scale studies of the exhaust noise from a bypass engine in flight. In Proceedings of 8th Aeroacoustics Conference, Atlanta, GA. AIAA Paper 83-751.
Szewczyk, V. 1979 Coaxial jet noise in flight. In Proceedings of 5th Aeroacoustics Conference, Seattle, WA. AIAA Paper 79-636.
Tam, C. K. W. & Auriault, L. 1999 Jet mixing noise from fine-scale turbulence. AIAA J. 37 (2), 145153.
Tinney, C. E., Glauser, M. N. & Ukeiley, L. S. 2008a Low-dimensional characteristics of a transonic jet. Part 1. Proper orthogonal decomposition. J. Fluid Mech. 612, 107141.
Tinney, C. E. & Jordan, P. 2008 The near pressure field of co-axial subsonic jets. J. Fluid Mech. 611, 175204.
Tinney, C. E., Ukeiley, L. S. & Glauser, M. N. 2008b Low-dimensional characteristics of a transonic jet. Part 2. Estimate and far-field prediction. J. Fluid Mech. 615, 5392.
Vera, J., Self, R. H. & Kingan, M. J. 2015 The prediction of the radiated pressure spectrum produced by jet-wing interaction. In Proceedings of 21st AIAA/CEAS Aeroacoustic Conference, Dallas, TX. AIAA Paper 2015-2216.
Wang, M. 1981 Wing effect on jet noise propagation. J. Aircraft 18, 295302.
Way, D. & Turner, B. 1980 Model tests demonstrating under-wing installation effects on engine exhaust noise. In Proceedings of 6th Aeroacoustics Conference, Hartford, CA. AIAA Paper 80-1048.
White, F. M. 2005 Fluid Mechanics, 5th edn. McGraw-Hill.
Williams, J. E. F. 1963 The noise from turbulence convected at high speed. Phil. Trans. R. Soc. Lond. A 255, 469503.
Williams, J. E. F. & Hall, L. H. 1970 Aerodynamic sound generation by turbulent flow in the vicinity of a scattering half plane. J. Fluid Mech. 40, 657670.
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Prediction of installed jet noise

  • B. Lyu (a1), A. P. Dowling (a1) and I. Naqavi (a1)


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