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Jet-noise control by fluidic injection from a rotating plug: linear and nonlinear sound-source mechanisms. (English) Zbl 1381.76434
Summary: We present a study of the turbulent and acoustic fields of subsonic jets, controlled by means of a novel actuator that introduces perturbations via steady-fluidic actuation from a rotating centrebody. The actuation can produce louder or quieter jets, and these are analysed using time-resolved stereoscopic particle image velocimetry and a hot-wire anemometer. We place the analysis in the framework of wavepackets and linear stability theory, whence we show, using solutions of the linear parabolised stability equations, that the quieter flows can be understood to result from a mean-flow deformation that modifies wavepacket dynamics, and in particular their phase velocities, which are significantly reduced. The mean-flow deformation is shown, by a triple decomposition, to be due to the generation of Reynolds stresses associated with incoherent turbulence (rather than coherent structures) which arises when the actuation energises the flow with a frequency–azimuthal wavenumber (\({\omega}\)–\(m\)) combination to which the mean flow is stable. When the actuation excites the flow with an \({\omega}\)–\(m\) combination to which the mean flow is unstable, the response is dominated by coherent structures, whose rapid growth takes them beyond the linear limit, where they undergo quadratic wave interactions and lead, consequently, to a louder flow.

MSC:
76Z10 Biopropulsion in water and in air
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
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[1] Breakey, D. E. S., Jordan, P., Cavalieri, A. V. G., Léon, O., Zhang, M., Lehnasch, G., Colonius, T. & Rodriguez, D.2013Near-field wavepackets and the far-field sound of a subsonic jet. In 19th AIAA/CEAS Aeroacoustics Conference, AIAA Paper, 2013-2083.
[2] Bridges, J.; Brown, C. A., Parametric testing of chevrons on single flow hot jets, AIAA Paper, 2004-2824, (2004)
[3] Bridges, J. E.; Hussain, A. K. M. F., Roles of initial condition and vortex pairing in jet noise, J. Sound Vib., 117, 2, 289-311, (1987)
[4] Butler, G. W.; Calkins, F. T., Initial attempts to suppress jet noise using piezoelectric actuators, AIAA Paper, (2003)
[5] Cavalieri, A. V. G.; Daviller, G.; Comte, P.; Jordan, P.; Tadmor, G.; Gervais, Y., Using large eddy simulation to explore sound-source mechanisms in jets, J. Sound Vib., 330, 17, 4098-4113, (2011)
[6] Cavalieri, A. V. G.; Jordan, P.; Agarwal, A.; Gervais, Y., Jittering wave-packet models for subsonic jet noise, J. Sound Vib., 330, 18, 4474-4492, (2011)
[7] Cavalieri, A. V. G.; Jordan, P.; Colonius, T.; Gervais, Y., Axisymmetric superdirectivity in subsonic jets, J. Fluid Mech., 704, 388-420, (2012) · Zbl 1246.76005
[8] Cavalieri, A. V. G., Rodriguez, D., Jordan, P., Colonius, T. & Gervais, Y.2012bWavepackets in the velocity field of turbulent jets. In 18th AIAA/CEAS Aeroacoustics Conference and Exhibit, Colorado Springs, CO, USA. · Zbl 1291.76280
[9] Cavalieri, A. V. G.; Rodríguez, D.; Jordan, P.; Colonius, T.; Gervais, Y., Wavepackets in the velocity field of turbulent jets, J. Fluid Mech., 730, 559-592, (2013) · Zbl 1291.76280
[10] Crighton, D. G., Basic principles of aerodynamic noise generation, Prog. Aerosp. Sci., 16, 31-96, (1975)
[11] Crighton, D. G.; Gaster, M., Stability of slowly diverging jet flow, J. Fluid Mech., 77, 2, 387-413, (1976) · Zbl 0338.76021
[12] Crighton, D. G.; Huerre, P., Shear layer pressure fluctuations and superdirective acoustic sources, J. Fluid Mech., 220, 355-368, (1990) · Zbl 0708.76116
[13] Crow, S. C.1972Acoustic gain of a turbulent jet. In Phys. Soc. Meeting, Univ. Colorado, Boulder, Paper IE, vol. 6.
[14] Crow, S. C.; Champagne, F. H., Orderly structure in jet turbulence, J. Fluid Mech., 48, 547-591, (1971)
[15] Ffowcs-Williams, J. E.; Kempton, A. J., The noise from the large-scale structure of a jet, J. Fluid Mech., 84, 673-694, (1978)
[16] Freund, J. B., Noise sources in a low-Reynolds-number turbulent jet at Mach 0.9, J. Fluid Mech., 438, 277-305, (2001) · Zbl 1013.76075
[17] Gudmundsson, K.; Colonius, T., Spatial stability analysis of chevron jet profiles, AIAA Paper, 3599, 8-10, (2007)
[18] Gudmundsson, K.; Colonius, T., Instability wave models for the near-field fluctuations of turbulent jets, J. Fluid Mech., 689, 97-128, (2011) · Zbl 1241.76203
[19] Gutmark, E. J.; Grinstein, F. F., Flow control with noncircular jets 1, Annu. Rev. Fluid Mech., 31, 1, 239-272, (1999)
[20] Henderson, B., Fifty years of fluidic injection for jet noise reduction, Intl J. Aeroacoust., 9, 91-122, (2010)
[21] Herbert, T., Parabolized stability equations, Annu. Rev. Fluid Mech., 29, 1, 245-283, (1997)
[22] Hussain, A. K. M. F.; Reynolds, W. C., The mechanics of an organized wave in turbulent shear flow, J. Fluid Mech., 41, 241-258, (1970)
[23] Hussain, A. K. M. F.; Zaman, K. B. M. Q., The ‘preferred mode’ of the axisymmetric jet, J. Fluid Mech., 110, 1, 39-71, (1981)
[24] Jordan, P.; Colonius, T., Wave packets and turbulent jet noise, Annu. Rev. Fluid Mech., 45, 173-195, (2013) · Zbl 1359.76257
[25] Juvé, D.; Sunyach, M.; Comte-Bellot, G., Filtered azimuthal correlations in the acoustic far field of a subsonic jet, AIAA J., 17, 1, 112-113, (1979)
[26] Kerhervé, F.; Jordan, P.; Cavalieri, A. V. G.; Delville, J.; Bogey, C.; Juvé, D., Educing the source mechanism associated with downstream radiation in subsonic jets, J. Fluid Mech., 710, 606-640, (2012) · Zbl 1275.76185
[27] Kim, K.; Kasnakolu, C.; Serrani, A.; Samimy, M., Extremum-seeking control of subsonic cavity flow, AIAA J., 47, 1, 195-205, (2009)
[28] Kœnig, M.2011 Réduction de bruit de jet par injection fluidique en corps central tournant (in French). PhD thesis, ENSIP - Université de Poitiers.
[29] Kopiev, V., Chernyshev, S., Faranosov, G., Zaitsev, M. & Belyaev, I.2010Correlations of jet noise azimuthal components and their role in source identification. In 16th AIAA/CEAS Aeroacoustics Conference (31st AIAA Aeroacoustics Conference).
[30] Lau, J. C.; Fisher, M. J.; Fuchs, H. V., The intrinsic structure of turbulent jets, J. Sound Vib., 22, 4, 379-406, (1972)
[31] Laufer, J.; Yen, T.-C., Noise generation by a low-Mach-number jet, J. Fluid Mech., 134, 1-31, (1983)
[32] Liu, J. T. C., Developing large-scale wavelike eddies and the near jet noise field, J. Fluid Mech., 62, 3, 437-464, (1974) · Zbl 0276.76026
[33] Mankbadi, R.; Liu, J. T. C., Sound generated aerodynamically revisited: large-scale structures in a turbulent jet as a source of sound, Phil. Trans. R. Soc. Lond. A, 311, 1516, 183-217, (1984) · Zbl 0589.76071
[34] Maury, R.; Koenig, M.; Cattafesta, L.; Jordan, P.; Delville, J., Extremum-seeking control of jet noise, Intl J. Aeroacoust., 11, 3, 459-474, (2012)
[35] Maury, R., Koenig, M., Cattafesta, L., Jordan, P., Delville, J., Bonnet, J. P. & Gervais, Y.2009Extremum-seeking optimisation of fluidic jet noise control. In 15th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference).
[36] Michalke, A., A wave model for sound generation in circular jets, (1970), Deutsche Forschungs- und Versuchsanstalt für Luft- und Raumfa (Cologne): Deutsche Forschungs- und Versuchsanstalt für Luft- und Raumfa (Cologne), ID
[37] Michalke, A., Instabilitat eines kompressiblen runden Freistrahls unter Berucksichtigung des Einflusses der Strahlgrenzschichtdicke, Z. Flugwiss. English translation: NASA TM 75190, 1977, 19, 311-328, (1971) · Zbl 0224.76050
[38] Michalke, A.; Fuchs, H. V., On turbulence and noise of an axisymmetric shear flow, J. Fluid Mech., 70, 179-205, (1975) · Zbl 0312.76051
[39] Mollo-Christensen, E.1963 Measurements of near field pressure of subsonic jets. Tech. Rep., DTIC Document.
[40] Mollo-Christensen, E., Jet noise and shear flow instability seen from an experimenter’s viewpoint, J. Appl. Mech., 34, 1, 1-7, (1967)
[41] Moore, C. J., The role of shear-layer instability waves in jet exhaust noise, J. Fluid Mech., 80, 321-367, (1977)
[42] Rodríguez, D.; Cavalieri, A. V. G.; Colonius, T.; Jordan, P., A study of linear wavepacket models for subsonic turbulent jets using local eigenmode decomposition of PIV data, Eur. J. Mech. (B/Fluids), 49, 308-321, (2015) · Zbl 1408.76227
[43] Rodrıguez, D., Sinha, A., Bres, G. A. & Colonius, T.2013Acoustic field associated with parabolized stability equation models in turbulent jets. In 19th AIAA/CEAS Aeroacoustics Conference (30th AIAA Aeroacoustics Conference), 27-29 May 2013, Berlin, Germany.
[44] Samimy, M.; Kim, J.-H.; Kastner, J.; Adamovich, I.; Utkin, Y., Active control of high-speed and high-Reynolds-number jets using plasma actuators, J. Fluid Mech., 578, 305-330, (2007) · Zbl 1111.76305
[45] Sandham, N.; Morfey, C.; Hu, Z., Sound radiation from exponentially growing and decaying waves, J. Sound Vib., 294, 355-361, (2006)
[46] Sasaki, K.2014 Estudo e controle de pacotes de onda em jatos utilizando as equações de estabilidade parabolizadas (in Portuguese). Masters thesis, ITA - Instituto Tecnológico de Aeronáutica, São José dos Campos.
[47] Suponitsky, V.; Sandham, N. D.; Morfey, C. L., Linear and nonlinear mechanisms of sound radiation by instability waves in subsonic jets, J. Fluid Mech., 658, 509-538, (2010) · Zbl 1205.76242
[48] Tam, C. K. W.; Morris, P. J., The radiation of sound by the instability waves of a compressible plane turbulent shear layer, J. Fluid Mech., 98, 2, 349-381, (1980) · Zbl 0437.76053
[49] Tutkun, M.; George, W. K.; Foucaut, J. M.; Coudert, S.; Stanislas, M.; Delville, J., In situ calibration of hot wire probes in turbulent flows, Exp. Fluids, 46, 4, 617-629, (2009)
[50] Wei, M.; Freund, J., A noise controlled free shear flow, J. Fluid Mech., 546, 123-152, (2006) · Zbl 1222.76084
[51] Zaman, K. B. M. Q.; Bridges, J. E.; Huff, D. L., Evolution from tabs to chevron technology – a review, Intl J. Aeroacoust., 10, 5, 685-710, (2011)
[52] Zhang, M., Jordan, P., Lehnasch, G., Cavalieri, A. V. G. & Agarwal, A.2012 Just enough jitter for jet noise? AIAA Paper 2014-3061.
[53] Zhang, M., Tissot, G., Jordan, P., Lehnasch, G., Cavalieri, A., Colonius, T. & Bres, G.2015Non-linear wavepacket forcing for jet noise. In 21st AIAA/CEAS Aeroacoustics Conference Aviation Forum 2015.
[54] Zhang, M.; Towne, A.; Jordan, P.; Colonius, T.; Lele, S., Sound amplification by jittering wavepackets in subsonic turbulent jets, Bull Am. Phys. Soc., 59, 20, (2014)
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