Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-19T12:37:17.964Z Has data issue: false hasContentIssue false

An analysis of the correlations between the turbulent flow and the sound pressure fields of subsonic jets

Published online by Cambridge University Press:  04 July 2007

C. BOGEY
Affiliation:
Laboratoire de Mécanique des Fluides et d'Acoustique, UMR CNRS 5509, Ecole Centrale de Lyon, 69134 Ecully, France
C. BAILLY
Affiliation:
Laboratoire de Mécanique des Fluides et d'Acoustique, UMR CNRS 5509, Ecole Centrale de Lyon, 69134 Ecully, France

Abstract

Noise generation is investigated in subsonic isothermal round jets at Mach numbers M = 0.6 and M = 0.9, with Reynolds numbers ReD = 1700 and ReD ≥ 105, using causality methods on data provided by large-eddy simulations. The correlations between broadband sound pressure signals and broadband turbulence signals along the jet axis and the shear layer are calculated. The normalized correlations are found to be significant between the pressure emitted in the downstream direction and centreline flow quantities. They are much smaller in the cases involving flow quantities along the shear layer, and fall for large emission angles. The maximum correlations obtained between centreline turbulence and downstream sound pressure are observed just at the end of the potential core for time delays corresponding to the times of propagation evaluated along ray paths. They also appear to be lower as the Mach number is reduced, and to be enhanced as the Reynolds number is decreased. These correlation levels can reasonably be attributed to the noise source which is predominant at small emission angles. This source is therefore located on the jet centreline at the end of the potential core, in a flow region which is shown to be characterized by a dominant Strouhal number over a large axial distance, by a strong level of intermittency, and by a high convection velocity. This supports the contention that the downstream jet-noise component is connected to the periodic and intermittent intrusion of vortical structures into the jet core.

Type
Papers
Copyright
Copyright © Cambridge University Press 2007

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Arakeri, V. H., Krothapalli, A., Siddavaram, V., Alkislar, M. B. & Lourenco, L. 2003 On the use of microjets to suppress turbulence in a Mach 0.9 axisymmetric jet. J. Fluid Mech. 490, 7598.CrossRefGoogle Scholar
Arndt, R. E. A., Long, D. F. & Glauser, M. N. 1997 The proper orthogonal decomposition of pressure fluctuations surrounding a turbulent jet. J. Fluid Mech. 340, 133.Google Scholar
Bogey, C., Barré, S., Fleury, V., Bailly, C. & Juvé, D. 2007 Experimental study of the spectral properties of near-field and far-field jet noise. Intl J. Aeroacoust. 6 (2) (in press).CrossRefGoogle Scholar
Bogey, C. & Bailly, C. 2004 A family of low dispersive and low dissipative explicit schemes for flow and noise computations. J. Comput. Phys. 194, 194214.Google Scholar
Bogey, C. & Bailly, C. 2005a Effects of inflow conditions and forcing on a Mach 0.9 jet and its radiated noise. AIAA J. 43, 10001007.CrossRefGoogle Scholar
Bogey, C. & Bailly, C. 2005b Decrease of the effective Reynolds number with eddy-viscosity subgrid-scale modeling. AIAA J. 43, 437439.CrossRefGoogle Scholar
Bogey, C. & Bailly, C. 2006a Computation of a high Reynolds number jet and its radiated noise using LES based on explicit filtering. Computers Fluids 35, 13441358.Google Scholar
Bogey, C. & Bailly, C. 2006b Investigation of downstream and sideline subsonic jet noise using large eddy simulation. Theor. Comput. Fluid Dyn. 20, 2340.Google Scholar
Bogey, C. & Bailly, C. 2006c Large eddy simulations of round free jets using explicit filtering with/without dynamic Smagorinsky model. Intl J. Heat Fluid Flow 27, 603610.Google Scholar
Bogey, C. & Bailly, C. 2006d Large eddy simulations of transitional round jets: influence of the Reynolds number on flow development and energy dissipation. Phys. Fluids 18 (6), 065101.CrossRefGoogle Scholar
Bogey, C., Bailly, C. & Juvé, D. 2003 Noise investigation of a high subsonic, moderate Reynolds number jet using a compressible LES. Theor. Comput. Fluid Dyn. 16, 273297.Google Scholar
Camussi, R. & Guj, G. 1999 Experimental analysis of intermittent coherent structures in the near field of a high Re turbulent jet flow. Phys. Fluids 11 (2), 423431.Google Scholar
Candel, S. M. 1977 Numerical solution of conservation equations arising in linear wave theory: application to aeroacoustics. J. Fluid Mech. 83, 465493.Google Scholar
Chevray, R. & Tutu, N. K. 1978 Intermittency and preferential transport of heat in a round jet. J. Fluid Mech. 88, 133160.Google Scholar
Chu, W. T. & Kaplan, R. E. 1976 Use of a spherical concave reflector for jet-noise-source distribution diagnosis. J. Acoust. Soc. Am. 59, 12681277.Google Scholar
Coiffet, F., Jordan, P., Delville, J., Gervais, Y. & Ricaud, F. 2006 Coherent structures in subsonic jets: a quasi-irrotational source mechanism? Intl J. Aeroacoust. 5, 6789.Google Scholar
Crighton, D. G. 1981 Acoustics as a branch of fluid mechanics. J. Fluid Mech. 106, 261298.Google Scholar
Dahan, C., Elias, G., Maulard, J. & Perulli, M. 1978 Coherent structures in the mixing zone of a subsonic hot free jet. J. Sound Vib. 59, 313333.Google Scholar
Freund, J. B. 2001 Noise sources in a low-Reynolds-number turbulent jet at Mach 0.9. J. Fluid Mech. 438, 277305.CrossRefGoogle Scholar
Goldstein, M. E. 1984 Aeroacoustics of turbulent shear flows. Annu. Rev. Fluid Mech. 16, 263285.CrossRefGoogle Scholar
Hileman, J. & Samimy, M. 2001 Turbulence structures and the acoustic far field of a Mach 1.3 jet. AIAA J. 39, 17161727.CrossRefGoogle Scholar
Hileman, J. I., Thurow, B. S., Caraballo, E. J. & Samimy, M. 2005 Large-scale structure evolution and sound emission in high speed jets: real-time vizualization with simulataneous acoustic measurements. J. Fluid Mech. 544, 277307.Google Scholar
Hurdle, P. M., Meecham, W. C. & Hodder, B. K. 1974 Investigation of the aerodynamic noise generating region of a jet engine by means of the simple source fluid dilatation model. J. Acoust. Soc. Am. 56, 17081721.Google Scholar
Juvé, D., Sunyach, M. & Comte-Bellot, G. 1980 Intermittency of the noise emission in subsonic cold jets. J. Sound Vib. 71, 319332.Google Scholar
Lau, J. C., Morris, P. J. & Fisher, M. J. 1979 Measurements in subsonic and supersonic free jets using a laser velocimeter. J. Fluid Mech. 93, 127.Google Scholar
Lee, H. K. & Ribner, H. S. 1972 Direct correlation of noise and flow of a jet. J. Acoust. Soc. Am. 52, 12801290.CrossRefGoogle Scholar
Long, D. F. & Arndt, R. E. A. 1984 Jet noise at low Reynolds number. AIAA J. 22, 187193.Google Scholar
Lush, P. A. 1971 Measurements of subsonic jet noise and comparison with theory. J. Fluid Mech. 46, 477500.CrossRefGoogle Scholar
Mollo-Christensen, E., Kolpin, M. A. & Martucelli, J. R. 1964 Experiments on jet flows and jet noise far-field spectra and directivity patterns. J. Fluid Mech. 18, 285301.Google Scholar
Panda, J. & Seasholtz, R. G. 2002 Experimental investigation of density fluctuations in high-speed jets and correlation with generated noise. J. Fluid Mech. 450, 97130.Google Scholar
Panda, J., Seasholtz, R. G. & Elam, K. A. 2005 Investigation of noise sources in high-speed jets via correlation measurements. J. Fluid Mech. 537, 349385.Google Scholar
Powell, A. 1964 Theory of vortex sound. J. Acoust. Soc. Am. 36, 177195.CrossRefGoogle Scholar
Richardz, W. G. 1980 Direct correlation of noise and flow of a jet using laser Doppler. AIAA J. 18, 759765.Google Scholar
Rizzetta, D. P., Visbal, M. R. & Blaisdell, G. A. 2003 A time-implicit high-order compact differencing and filtering scheme for large-eddy simulation. Intl J. Numer. Meth. Fluids 42, 665693.Google Scholar
Sabot, J. & Comte-Bellot, G. 1976 Intermittency of coherent structures in the core region of fully developed turbulent pipe flow. J. Fluid Mech. 74, 767796.Google Scholar
Schaffar, M. 1979 Direct measurements of the correlation between axial in-jet velocity fluctuations and far field noise near the axis of a cold jet. J. Sound Vib. 64, 7383.CrossRefGoogle Scholar
Seiner, J. M. 1974 The distribution of jet source strength intensity by means of direct correlation technique. PhD thesis, Pennsylvania State University.Google Scholar
Siddon, T. E. & Rackl, R. 1971 Cross-correlation analysis of flow noise with fluid dilatation as source fluctuation. 82nd Meeting of the Acoustical Society of America, Denver, Oct. 1971.Google Scholar
Stromberg, J. L., McLaughlin, D. K. & Troutt, T. R. 1980 Flow field and acoustic properties of a Mach number 0.9 jet at a low Reynolds number. J. Sound. Vib. 72, 159176.Google Scholar
Tam, C. K. W. 1998 Jet noise: since 1952. Theor. Comput. Fluid Dyn. 10, 393405.Google Scholar
Tam, C. K. W., Golebiowski, M. & Seiner, J. M. 1996 On the two components of turbulent mixing noise from supersonic jets. AIAA Paper 96–1716.CrossRefGoogle Scholar
Ukeiley, L. S. & Ponton, M. K. 2004 On the near field pressure of a transonic axisymmetric jet. Intl J. Aeroacoust. 3, 4366.Google Scholar
2002 Viswanathan, K. 2002 Analysis of the two similarity components of turbulent mixing noise. AIAA J. 40, 17351744.Google Scholar
Zaman, K. B. M. Q. 1985 Far-field noise of a subsonic jet under controlled excitation. J. Fluid Mech. 152, 83111.Google Scholar
Zaman, K. B. M. Q. 1986 Flow field and near and far sound field of a subsonic jet. J. Sound Vib. 106, 116.Google Scholar
Zaman, K. B. M. Q. & Yu, J. C. 1985 Power spectral density of subsonic jet noise. J. Sound Vib. 98, 519537.Google Scholar