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Influence of initial turbulence level on the flow and sound fields of a subsonic jet at a diameter-based Reynolds number of 105

  • C. Bogey (a1), O. Marsden (a1) and C. Bailly (a1) (a2)

Abstract

Five isothermal round jets at Mach number and Reynolds number originating from a pipe nozzle are computed by large-eddy simulations to investigate the effects of initial turbulence on flow development and noise generation. In the pipe, the boundary layers are untripped in the first case and tripped numerically in the four others in order to obtain, at the exit, mean velocity profiles similar to a Blasius laminar profile of momentum thickness equal to 1.8 % of the jet radius, yielding Reynolds number , and peak turbulence levels around 0, 3 %, 6 %, 9 % or 12 % of the jet velocity . As the initial turbulence intensity increases, the shear layers develop more slowly with much lower root-mean-square (r.m.s.) fluctuating velocities, and the jet potential cores are longer. Velocity disturbances downstream of the nozzle exit also exhibit different structural characteristics. For low , they are dominated by the first azimuthal modes , 1 and 2, and show significant skewness and intermittency. The growth of linear instability waves and a first stage of vortex pairings occur in the shear layers for . For higher , three-dimensional features and high azimuthal modes prevail, in particular close to the nozzle exit where the wavenumbers naturally found in turbulent wall-bounded flows clearly appear. Concerning the sound fields, strong broadband components mainly associated with mode are noticed around the pairing frequency for the untripped jet. With rising , however, they become weaker, and the noise levels decrease asymptotically down to those measured for jets at , which are likely to be initially turbulent and to emit negligible vortex-pairing noise. These results correspond well to experimental observations, made separately for either mixing layers, jet flow or sound fields.

Copyright

Corresponding author

Email address for correspondence: christophe.bogey@ec-lyon.fr

References

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1. Ahuja, K. K., Tester, B. J. & Tanna, H. K. 1987 Calculation of far field jet noise spectra from near field measurements with true source location. J. Sound Vib. 116 (3), 415426.
2. 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.
3. Bailly, C. & Bogey, C. 2004 Contributions of CAA to jet noise research and prediction. Intl J. Comput. Fluid Dyn. 18 (6), 481491.
4. Batt, R. G. 1975 Some measurements on the effect of tripping the two-dimensional shear layer. AIAA J. 13 (2), 245247.
5. Bell, J. H. & Mehta, R. D. 1990 Development of a two-stream mixing layer from tripped and untripped boundary layers. AIAA J. 28 (12), 20342042.
6. Berland, J., Bogey, C., Marsden, O. & Bailly, C. 2007 High-order, low dispersive and low dissipative explicit schemes for multi-scale and boundary problems. J. Comput. Phys. 224 (2), 637662.
7. Bogey, C. & Bailly, C. 2002 Three-dimensional non reflective boundary conditions for acoustic simulations: far-field formulation and validation test cases. Acta Acust. 88 (4), 463471.
8. Bogey, C. & Bailly, C. 2004 A family of low dispersive and low dissipative explicit schemes for flow and noise computations. J. Comput. Phys. 194 (1), 194214.
9. Bogey, C. & Bailly, C. 2006a Large Eddy Simulations of transitional round jets: influence of the Reynolds number on flow development and energy dissipation. Phys. Fluids 18 (6), 065101.
10. Bogey, C. & Bailly, C. 2006b Large eddy simulations of round jets using explicit filtering with/without dynamic Smagorinsky model. Intl J. Heat Fluid Flow 27 (4), 603610.
11. Bogey, C. & Bailly, C. 2006c Investigation of downstream and sideline subsonic jet noise using large eddy simulation. Theor. Comput. Fluid Dyn. 20 (1), 2340.
12. Bogey, C. & Bailly, C. 2007 An analysis of the correlations between the turbulent flow and the sound pressure field of subsonic jets. J. Fluid Mech. 583, 7197.
13. Bogey, C. & Bailly, C. 2009 Turbulence and energy budget in a self-preserving round jet: direct evaluation using large-eddy simulation. J. Fluid Mech. 627, 129160.
14. Bogey, C. & Bailly, C. 2010 Influence of nozzle-exit boundary-layer conditions on the flow and acoustic fields of initially laminar jets. J. Fluid Mech. 663, 507539.
15. 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 (4), 273297.
16. Bogey, C., Barré, S. & Bailly, C. 2008 Direct computation of the noise generated by subsonic jets originating from a straight pipe nozzle. Intl J. Aeroacoust. 7 (1), 122.
17. 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), 7392.
18. Bogey, C., Barré, S., Juvé, D. & Bailly, C. 2009a Simulation of a hot coaxial jet: direct noise prediction and flow-acoustics correlations. Phys. Fluids 21 (3), 035105.
19. Bogey, C., de Cacqueray, N. & Bailly, C. 2009b A shock-capturing methodology based on adaptative spatial filtering for high-order nonlinear computations. J. Comput. Phys. 228 (5), 14471465.
20. Bogey, C., de Cacqueray, N. & Bailly, C. 2011 Finite differences for coarse azimuthal discretization and for reduction of effective resolution near origin of cylindrical flow equations. J. Comput. Phys. 230 (4), 11341146.
21. Bogey, C., Marsden, O. & Bailly, C. 2011a Large-eddy simulation of the flow and acoustic fields of a Reynolds number subsonic jet with tripped exit boundary layers. Phys. Fluids 23 (3), 035104.
22. Bogey, C., Marsden, O. & Bailly, C. 2011b On the spectra of nozzle-exit velocity disturbances in initially nominally turbulent, transitional jets. Phys. Fluids 23 (9), 091702.
23. Bogey, C., Marsden, O. & Bailly, C. 2012 Flow and sound fields of initially tripped jets at Reynolds numbers ranging from 25,000 to 200,000. AIAA Paper 2012-1172. Meeting.
24. Bridges, J. E. & Hussain, A. K. M. F. 1987 Roles of initial conditions and vortex pairing in jet noise. J. Sound Vib. 117 (2), 289311.
25. Briggs, D. A., Ferziger, J. H., Koseff, J. R. & Monismith, S. G. 1996 Entrainment in a shear-free turbulent mixing layer. J. Fluid Mech. 310, 215241.
26. Browand, F. K. & Latigo, B. O. 1979 Growth of the two-dimensional mixing layer from a turbulent and nonturbulent boundary layer. Phys. Fluids 22 (6), 10111019.
27. Browand, F. K. & Troutt, C. D. 1980 A note on spanwise structure in the two-dimensional mixing layer. J. Fluid Mech. 97 (4), 771781.
28. Brown, G. L. & Roshko, A. 1974 Density effect and large structure in turbulent mixing layers. J. Fluid Mech. 64, 775816.
29. 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.
30. Cavalieri, A. V. G., Jordan, P., Gervais, Y., Wei, M. & Freund, J. B. 2010 Intermittent sound generation and its control in a free-shear flow. Phys. Fluids 22 (11), 115113.
31. Chandrsuda, C., Mehta, R. D., Weir, A. D. & Bradshaw, P. 1978 Effect of free stream turbulence on large structure in turbulent mixing layer. J. Fluid Mech. 85 (4), 693704.
32. Chevray, R. & Tutu, N. K. 1978 Intermittency and preferential transport of heat in a round jet. J. Fluid Mech. 88 (1), 133160.
33. Cohen, J. & Wygnanski, I. 1987 The evolution of instabilities in the axisymmetric jet. Part 1. The linear growth of disturbances near the nozzle. J. Fluid Mech. 176, 191219.
34. Colonius, T. & Lele, S. K. 2004 Computational aeroacoustics: progress on nonlinear problems of sound generation. Prog. Aero. 40, 345416.
35. Colonius, T., Lele, S. K. & Moin, P. 1997 Sound generation in a mixing layer. J. Fluid Mech. 330, 375409.
36. Crighton, D. G. 1981 Acoustics as a branch of fluid mechanics. J. Fluid Mech. 106, 261298.
37. Crow, S. C. & Champagne, F. H. 1971 Orderly structure in jet turbulence. J. Fluid Mech. 48, 547591.
38. Davies, P. O. A. L., Fisher, M. J. & Barratt, M. J. 1963 The characteristics of the turbulence in the mixing region of a round jet. J. Fluid Mech. 15, 337367.
39. Domaradzki, J. A. & Yee, P. P. 2000 The subgrid-scale estimation model for high Reynolds number turbulence. Phys. Fluids 12 (1), 193196.
40. Eggels, J. G. M., Unger, F., Weiss, M. H., Westerweel, J., Adrian, R. J., Friedrich, R. & Nieuwstadt, F. T. M. 1994 Fully developed turbulent pipe flow: a comparison between direct numerical simulation and experiment. J. Fluid Mech. 268, 175209.
41. Fleury, V., Bailly, C., Jondeau, E., Michard, M. & Juvé, D. 2008 Space-time correlations in two subsonic jets using dual-PIV measurements. AIAA J. 46 (10), 24982509.
42. Freund, J. B. 2001 Noise sources in a low-Reynolds-number turbulent jet at Mach 0.9. J. Fluid Mech. 438, 277305.
43. Ghosh, S., Foysi, H. & Friedrich, R. 2010 Compressible turbulent channel and pipe flow: similarities and differences. J. Fluid Mech. 648, 155181.
44. Grosche, F.-R. 1974 Distributions of sound source intensities in subsonic and supersonic jets. AGARD-CP-131, 4-1 to 4-10.
45. Gutmark, E. & Ho, C.-M. 1983 Preferred modes and the spreading rates of jets. Phys. Fluids 26 (10), 29322938.
46. Harper-Bourne, M. 2010 Jet noise measurements: past and present. Intl J. Aeroacoust. 9 (4 & 5), 559588.
47. 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 visualization with simultaneous acoustic measurements. J. Fluid Mech. 544, 277307.
48. Hill, W. G., Jenkins, R. C. & Gilbert, B. L. 1976 Effects of the initial boundary-layer state on turbulent jet mixing. AIAA J. 14 (11), 15131514.
49. Ho, C.-M. & Huerre, P. 1984 Perturbed free shear layers. Annu. Rev. Fluid Mech. 23 (3), 365424.
50. Husain, Z. D. & Hussain, A. K. M. F. 1979 Axisymmetric mixing layer: influence of the initial and boundary conditions. AIAA J. 17 (1), 4855.
51. Hussain, A. K. M. F. 1983 Coherent structures–reality and myth. Phys. Fluids 26 (10), 28162850.
52. Hussain, A. K. M. F. & Husain, Z. D. 1980 Turbulence structure in the axisymmetric free mixing layer. AIAA J. 18 (12), 14621469.
53. Hussain, A. K. M. F & Zedan, M. F. 1978a Effects of the initial condition on the axisymmetric free shear layer: Effects of the initial momentum thickness. Phys. Fluids 21 (7), 11001112.
54. Hussain, A. K. M. F. & Zedan, M. F. 1978b Effects of the initial condition on the axisymmetric free shear layer: Effects of the initial fluctuation level. Phys. Fluids 21 (9), 14751481.
55. Jones, B. G., Planchon, H. P. & Hammersley, R. J. 1973 Turbulent correlation measurements in a two-stream mixing layer. AIAA J. 11 (8), 11461150.
56. Juvé, D. & Sunyach, M. 1981 Near and far field azimuthal correlations for excited jets. AIAA Paper 81-2011.
57. Juvé, D., Sunyach, M. & Comte-Bellot, G. 1980 Intermittency of the noise emission in subsonic cold jets. J. Sound Vib. 71 (3), 319332.
58. Kim, J. & Choi, H. 2009 Large eddy simulation of a circular jet: effect of inflow conditions on the near field. J. Fluid Mech. 620, 383411.
59. 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 (1), 127.
60. Lepicovsky, J. & Brown, W. H. 1989 Effects of nozzle exit boundary-layer conditions on excitability of heated free jets. AIAA J. 27 (6), 712718.
61. Lilley, G. M. 1994 Jet noise classical theory and experiments. In Aeroacoustics of Flight Vehicles (ed. Hubbard, H. H. ). Noise Sources , vol. 1. pp. 211289. Acoustical Society of America.
62. Lush, P. A. 1971 Measurements of subsonic jet noise and comparison with theory. J. Fluid Mech. 46 (3), 477500.
63. Maestrello, L. 1976 Two points correlations of sound pressure in the far field of a jet: Experiment. Tech. Mem. 72835. NASA-Langley Research Center.
64. Maestrello, L. & McDaid, E. 1971 Acoustic characteristics of a high-subsonic jet. AIAA J. 9 (6), 10581066.
65. Mathis, R., Marusic, I., Hutchins, N. & Sreenivasan, K. R. 2011 The relationship between the velocity skewness and the amplitude modulation of the small scale by the large scale in turbulent boundary layers. Phys. Fluids 23 (12), 121702.
66. Michalke, A. 1984 Survey on jet instability theory. Prog. Aerosp. Sci. 21, 159199.
67. Mitchell, B. E., Lele, S. K. & Moin, P. 1999 Direct computation of the sound generated by vortex pairing in an axisymmetric jet. J. Fluid Mech. 383, 113142.
68. Mohseni, K. & Colonius, T. 2000 Numerical treatment of polar coordinate singularities. J. Comput. Phys. 157 (2), 787795.
69. 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.
70. Monty, J. P., Hutchins, N., Ng, H. C. H., Marusic, I. & Chong, M. S. 2009 A comparison of turbulent pipe, channel and boundary layer flows. J. Fluid Mech. 632, 431442.
71. Morris, P. J. 1976 The spatial viscous instability of axisymmetric jets. J. Fluid Mech. 77 (3), 511529.
72. Morris, P. J. 1983 Viscous stability of compressible axisymmetric jets. AIAA J. 21 (4), 481482.
73. Morris, P. J. & Zaman, K. B. M. Q. 2009 Velocity measurements in jets with application to noise source modelling. J. Sound Vib. 329 (4), 394414.
74. Papamoschou, D. & Debiasi, M. 2001 Directional suppression of noise from a high-speed jet. AIAA J. 39 (3), 380387.
75. Raman, G., Rice, E. J. & Reshotko, E. 1994 Mode spectra of natural disturbances in a circular jet and the effect of acoustic forcing. Exp. Fluids 17, 415426.
76. Raman, G., Zaman, K. B. M. Q. & Rice, E. J. 1989 Initial turbulence effect on jet evolution with and without tonal excitation. Phys. Fluids A 1 (7), 12401248.
77. Russ, S. & Strykowski, P. J. 1993 Turbulent structure and entrainment in heated jets: The effect of initial conditions. Phys. Fluids A 5 (12), 32163225.
78. Suzuki, T. & Colonius, T. 2007 Instability waves in a subsonic round jet detected using a near-field phased microphone array. J. Fluid Mech. 565, 197226.
79. Tam, C. K. W. & Dong, Z. 1996 Radiation and outflow boundary conditions for direct computation of acoustic and flow disturbances in a non-uniform mean flow. J. Comput. Acoust. 4 (2), 175201.
80. Tanna, H. K. 1977 An experimental study of jet noise. Part I: Turbulent mixing noise. J. Sound Vib. 50 (3), 405428.
81. Tomkins, C. D. & Adrian, R. J. 2003 Spanwise structure and scale growth in turbulent boundary layers. J. Fluid Mech. 490, 3774.
82. Tomkins, C. D. & Adrian, R. J. 2005 Energetic spanwise modes in the logarithmic layer of a turbulent boundary layer. J. Fluid Mech. 545, 141162.
83. Visbal, M. R. & Rizzetta, D. P. 2002 Large-Eddy Simulation on curvilinear grids using compact differencing and filtering schemes. Trans. ASME: J. Fluids Engng 124 (4), 836847.
84. Wang, M., Freund, J. B. & Lele, S. K. 2006 Computational prediction of flow-generated sound. Annu. Rev. Fluid Mech. 38, 483512.
85. Winant, C. D. & Browand, F. K. 1974 Vortex pairing: the mechanism od turbulent mixing-layer growth at moderate Reynolds number. J. Fluid Mech. 63 (2), 237255.
86. Wygnanski, I., Oster, D., Fiedler, H. & Dziomba, B. 1979 On the perseverance of a quasi-two-dimensional eddy-structure in a turbulent mixing layer. J. Fluid Mech. 93 (2), 325335.
87. Xu, G. & Antonia, R. A. 2002 Effects of different initial conditions on a turbulent free jet. Exp. Fluids 33, 677683.
88. Zaman, K. B. M. Q. 1985a Far-field noise of subsonic jet under controlled excitation. J. Fluid Mech. 152, 83111.
89. Zaman, K. B. M. Q. 1985b Effect of initial condition on subsonic jet noise. AIAA J. 23, 13701373.
90. Zaman, K. B. M. Q. & Hussain, A. K. M. F. 1980 Vortex pairing in a circular jet under controlled excitation. Part 1. General jet response. J. Fluid Mech. 101 (3), 449491.
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Type Description Title
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r) plane of vorticity norm obtained in the shear layer just downstream of the nozzle lip for jets at Reynolds number 105 with peak exit turbulence intensities of 0%, 3%, 6%, 9% and 12% (Jet0%, Jet3%, Jet6%, Jet9% and Jet12%, respectively). The colour scale ranges up to the level of 21uj/r0 (uj is the jet velocity, r0 is the nozzle radius).

 Video (3.1 MB)
3.1 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r) plane of vorticity norm obtained in the shear layer just downstream of the nozzle lip for jets at Reynolds number 105 with peak exit turbulence intensities of 0%, 3%, 6%, 9% and 12% (Jet0%, Jet3%, Jet6%, Jet9% and Jet12%, respectively). The colour scale ranges up to the level of 21uj/r0 (uj is the jet velocity, r0 is the nozzle radius).

 Video (9.3 MB)
9.3 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r ) plane of vorticity norm obtained up to z = 10r0 in jets at Reynolds number 105 with peak exit turbulence intensities of 0%, 3%, 6%, 9% and 12%. The colour scale ranges up to the level of 13uj /r0.

 Video (4.7 MB)
4.7 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r ) plane of vorticity norm obtained up to z = 10r0 in jets at Reynolds number 105 with peak exit turbulence intensities of 0%, 3%, 6%, 9% and 12%. The colour scale ranges up to the level of 13uj /r0.

 Video (18.0 MB)
18.0 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r ) plane of vorticity norm obtained up to z = 25r 0 in jets at Reynolds number 105 with peak exit peak turbulence intensities of 0%, 3%, 6%, 9% and 12%. The colour scale ranges up to the level of 5uj /r 0.

 Video (4.5 MB)
4.5 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r ) plane of vorticity norm obtained up to z = 25r 0 in jets at Reynolds number 105 with peak exit peak turbulence intensities of 0%, 3%, 6%, 9% and 12%. The colour scale ranges up to the level of 5uj /r 0.

 Video (17.1 MB)
17.1 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r ) plane of vorticity norm and fluctuating pressure obtained for jets at Reynolds number 105 with peak exit turbulence intensities of 0%, 3%, 6%, 9% and 12%. The colour scales range up to the level of 6uj /r 0 for vorticity, and from −65 to 65 Pa for pressure.

 Video (10.1 MB)
10.1 MB
VIDEO
Movies

Bogey et al.
Snapshots in the (z, r ) plane of vorticity norm and fluctuating pressure obtained for jets at Reynolds number 105 with peak exit turbulence intensities of 0%, 3%, 6%, 9% and 12%. The colour scales range up to the level of 6uj /r 0 for vorticity, and from −65 to 65 Pa for pressure.

 Video (41.7 MB)
41.7 MB

Influence of initial turbulence level on the flow and sound fields of a subsonic jet at a diameter-based Reynolds number of 105

  • C. Bogey (a1), O. Marsden (a1) and C. Bailly (a1) (a2)

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