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Effect of a flight stream on subsonic turbulent jets

Igor A. Maia1, Guillaume Brès2, Lutz Lesshafft3, and Peter Jordan1

  • 1Pprime Institute, CNRS, Université de Poitiers, ENSMA, Poitiers 86360, France
  • 2Cascade Technologies Inc., Palo Alto, California 94303, USA
  • 3Laboratoire d'Hydrodynamique, CNRS–Ecole Polytechnique, Palaiseau 91120, France

Phys. Rev. Fluids 8, 063902 – Published 6 June, 2023

DOI: https://doi.org/10.1103/PhysRevFluids.8.063902

Abstract

This study concerns a turbulent jet at Mach number Mj=0.9, subject to a uniform external flow stream at Mf=0.15. The analysis combines experimental and numerical databases, spectral proper orthogonal decomposition (SPOD), and linear modeling. The experiments involve time-resolved, stereo PIV measurements at different cross-sections of the jet. A companion large-eddy simulation was performed with the same operating conditions using the “CharLES” solver by Cascade Technologies to obtain a complete and highly resolved three-dimensional database. We assess the mechanisms that underpin the reduction in fluctuation energy that is known to occur when a jet is surrounded by a flight stream. We show that this energy reduction is spread over a broad region of the frequency-wave-number space and involves, apart from the known stabilization of the modal Kelvin-Helmholtz (KH) instability, the attenuation of flow structures associated with the nonmodal Orr and lift-up mechanisms. Streaky structures, associated with helical azimuthal wave numbers and very slow timescales, are the most strongly affected by the flight stream, in terms of energy attenuation and spatial distortion. The energy reductions are accompanied by a weakening of the low-rank behavior of the jet dynamics. These trends are found to be consistent, to a great extent, with results of a local linear model based on the modified mean flow in the flight-stream case.

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References (80)

  1. A. K. M. F. Hussain, Coherent structures and turbulence, J. Fluid Mech. 173, 303 (1986).
  2. G. L. Brown and A. Roshko, On density effects and large structure in turbulent mixing layers, J. Fluid Mech. 64, 775 (1974).
  3. E. Mollo-Christensen, Jet noise and shear flow instability seen from an experimenter's viewpoint, J. Appl. Mech. 34, 1 (1967).
  4. S. Crow and F. Champagne, Orderly structure in jet turbulence, J. Fluid Mech. 48, 547 (1971).
  5. C. J. Moore, The role of shear-layer instability waves in jet exhaust noise, J. Fluid Mech. 80, 321 (1977).
  6. K. B. M. Q. Zaman and A. K. M. F. Hussain, Vortex pairing in a circular jet under controlled excitation. Part 1. General jet response, J. Fluid Mech. 101, 449 (1980).
  7. A. K. M. F. Hussain and K. B. M. Q. Zaman, Vortex pairing in a circular jet under controlled excitation. Part 2. Coherent structure dynamics, J. Fluid Mech. 101, 493 (1980).
  8. A. K. M. F. Hussain and K. B. M. Q. Zaman, The “preferred” mode of the axisymmetric jet, J. Fluid Mech. 110, 39 (1981).
  9. R. A. Petersen and M. M. Samet, On the preferred mode of jet instability, J. Fluid Mech. 194, 153 (1988).
  10. J. L. Lumley, The structure of inhomogeneous turbulent flows, in Atmospheric Turbulence and Radio Wave Propagation, edited by A. M. Yaglom and V. I. Tartarsky (Nauka, Moscow, 1967), pp. 166–177.
  11. T. Suzuki and T. Colonius, Instability waves in a subsonic round jet detected using a near-field phased microphone array, J. Fluid Mech. 565, 197 (2006).
  12. K. Gudmundsson and T. Colonius, Instability wave models for the near-field fluctuations of turbulent jets, J. Fluid Mech. 689, 97 (2011).
  13. D. E. S. Breakey, P. Jordan, A. V. G. Cavalieri, P. A. Nogueira, O. Léon, T. Colonius, and D. Rodríguez, Experimental study of turbulent-jet wave packets and their acoustic efficiency, Phys. Rev. Fluids 2, 124601 (2017).
  14. A. V. G. Cavalieri, D. Rodríguez, P. Jordan, T. Colonius, and Y. Gervais, Wavepackets in the velocity field of turbulent jets, J. Fluid Mech. 730, 559 (2013).
  15. V. Jaunet, P. Jordan, and A. V. G. Cavalieri, Two-point coherence of wavepackets in turbulent jets, Phys. Rev. Fluids 2, 024604 (2017).
  16. K. Sasaki, A. V. G. Cavalieri, P. Jordan, O. T. Schmidt, T. Colonius, and G. A. Brès, High-frequency wavepackets in turbulent jets, J. Fluid Mech. 830, R2 (2017).
  17. W. Orr, The stability or instability of steady motions of a perfect liquid and of a viscous liquid. Part I: A perfect liquid, Proc. Royal Irish Acad. Sec. A: Math. Phys. Sci. 27, 9 (1907).
  18. L. Brandt, The lift-up effect: The linear mechanism behind transition and turbulence in shear flows, Eur. J. Mech. B Fluids 47, 80 (2014).
  19. J. Jiménez, Coherent structures in wall-bounded turbulence, J. Fluid Mech. 842, P1 (2018).
  20. H. A. Becker and T. A. Massaro, Vortex evolution in a round jet, J. Fluid Mech. 31, 435 (1968).
  21. F. K. Browand and J. Laufer, The roles of large scale structures in the initial development of circular jets, in 4th Biennial Symposium on Turbulence in Liquids, University of Missouri-Rolla (Rolla, MO, 1975).
  22. P. E. Dimotakis, R. C. Miake-Lye, and D. A. Papantoniou, Structure and dynamics of round turbulent jets, Phys. Fluids 26, 3185 (1983).
  23. A. J. Yule, Large-scale structure in the mixing layer of a round jet, J. Fluid Mech. 89, 413 (1978).
  24. J. C. Agüí and L. Hesselink, Flow visualization and numerical analysis of a coflowing jet: A three-dimensional approach, J. Fluid Mech. 191, 19 (1988).
  25. X. Garnaud, L. Lesshafft, P. Schmid, and P. Huerre, The preferred mode of incompressible jets: Linear frequency response analysis, J. Fluid Mech. 716, 189 (2013).
  26. J. Jeun, J. W. Nichols, and M. R. Jovanovic, Input-output analysis of high-speed axisymmetric isothermal jet noise, Phys. Fluids 28, 047101 (2016).
  27. O. Semeraro, V. Jaunet, P. Jordan, A. V. G. Cavalieri, and L. Lesshafft, Stochastic and harmonic optimal forcing in subsonic jets, in Proceedings of the 22nd AIAA/CEAS Aeroacoustics Conference, Lyon, France (AIAA, Reston, VA, 2016).
  28. G. Tissot Jr., M. Zhang, F. C. Lajús Jr., A. V. G. Cavalieri, and P. Jordan, Sensitivity of wavepackets in jets to nonlinear effects: The role of the critical layer, J. Fluid Mech. 811, 95 (2017).
  29. O. T. Schmidt, A. Towne, G. Rigas, T. Colonius, and G. A. Brès, Spectral analysis of jet turbulence, J. Fluid Mech. 855, 953 (2018).
  30. L. Lesshafft, O. Semeraro, V. Jaunet, A. V. G. Cavalieri, and P. Jordan, Resovlent-based modeling of coherent structures wave packets in a turbulent jet, Phys. Rev. Fluids 4, 063901 (2019).
  31. P. Nogueira, A. V. G. Cavalieri, P. Jordan, and V. Jaunet, Large-scale streaky structures in turbulent jets, J. Fluid Mech. 873, 211 (2019).
  32. E. Pickering, G. Rigas, P. Nogueira, A. V. G. Cavalieri, O. Schmidt, and T. Colonius, Lift-up, Kelvin-Helmholtz and Orr mechanisms in turbulent jets, J. Fluid Mech. 896, A2 (2020).
  33. P. Jordan and T. Colonius, Wave packets and turbulent jet noise, Annu. Rev. Fluid Mech. 45, 173 (2013).
  34. H. Tanna and P. Morris, In-flight simulation experiments on turbulent jet mixing noise, J. Sound Vib. 53, 389 (1977).
  35. A. Michalke and G. Hermann, On the inviscid instability of a circular jet with external flow, J. Fluid Mech. 114, 343 (1982).
  36. L. F. Soares, A. V. G. Cavalieri, V. Kopiev, and G. Faranosov, Flight effects on turbulent-jet wave packets, AIAA J. 58, 3877 (2020).
  37. X. Garnaud, R. D. Sandberg, and L. Lesshafft, Global response to forcing in a subsonic jet: instability wavepackets and acoustic radiation, in Proceedings of the 19th AIAA/CEAS Aeroacoustics Conference (AIAA, Reston, VA, 2013).
  38. U. Von Glahn, D. Groesbeck, and J. Goodykoontz, Velocity decay and acoustic characteristics of various nozzle geometries with forward velocity, in Proceedings of the 6th Fluid and Plasma Dynamics Conference (AIAA, Reston, VA, 1973).
  39. B. Cocking and W. Bryce, Subsonic jet noise in flight based on some recent wind-tunnel tests, in Proceedings of the 2nd Aeroacoustics Conference (AIAA, Reston, VA, 1975).
  40. K. Bushell, Measurement and prediction of jet noise in flight, in Proceedings of the 2nd Aeroacoustics Conference (AIAA, Reston, VA, 1975).
  41. A. B. Packman, K. W. Ng, and R. W. Paterson, Effect of simulated forward flight on subsonic jet exhaust noise, J. Aircr. 13, 1007 (1976).
  42. H. E. Plumblee, Effects of forward flight on turbulent jet mixing noise, Technical Report CR-2702, NASA (1976).
  43. W. Bryce, The prediction of static-to-flight changes in jet noise, in Proceedings of the 9th Aeroacoustics Conference (AIAA, Reston, VA, 1984).
  44. C. L. Morfey and B. J. Tester, Noise measurements in a free jet flight simulation facility: Shear-layer refraction and facility-to-flight corrections, J. Sound Vib. 54, 83 (1977).
  45. K. Vishwanathan and M. Czech, Measurement and modeling of effect of forward flight on jet noise, AIAA J. 49, 1 (2011).
  46. A. V. G. Cavalieri, P. Jordan, A. Agarwal, and Y. Gervais, Jittering wave-packet models for subsonic jet noise, J. Sound Vib. 330, 4474 (2011).
  47. A. V. G. Cavalieri, P. Jordan, T. Colonius, and Y. Gervais, Axisymmetric superdirectivity in subsonic jets, J. Fluid Mech. 704, 388 (2012).
  48. I. A. Maia, P. Jordan, A. V. G. Cavalieri, and V. Jaunet, Two-point wavepacket modeling of jet noise, Proc. R. Soc. A 475, 20190199 (2019).
  49. M. J. Lighthill, On sound generated aerodynamically. I. General theory, Proc. Roy. Soc. London A: Math., Phys. Eng. Sci. 211, 564 (1952).
  50. G. A. Brès, F. E. Ham, J. W. Nichols, and S. K. Lele, Unstructured large eddy simulations of supersonic jets, AIAA J. 55, 1164 (2017).
  51. G. A. Brès, P. Jordan, V. Jaunet, M. Le Rallic, A. V. G. Cavalieri, A. Towne, S. K. Lele, T. Colonius, and O. T. Schmidt, Importance of the nozzle-exit boundary-layer state in subsonic turbulent jets, J. Fluid Mech. 851, 83 (2018).
  52. F. Scarano, Iterative image deformation methods in PIV, Meas. Sci. Technol. 13, R1 (2002).
  53. J. B. Freund, Proposed inflow/outflow boundary condition for direct computation of aerodynamic sound, AIAA J. 35, 740 (1997).
  54. A. Mani, Analysis and optimization of numerical sponge layers as a nonreflective boundary treatment, J. Comput. Phys. 231, 704 (2012).
  55. A. Vreman, An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications, Phys. Fluids 16, 3670 (2004).
  56. S. Kawai and J. Larsson, Wall-modeling in large eddy simulation: Length scales, grid resolution, and accuracy, Phys. Fluids 24, 015105 (2012).
  57. J. Bodart and J. Larsson, Wall-modeled large eddy simulation in complex geometries with application to high-lift devices, in Annual Research Briefs 2011 (Cent. Turbul. Res., Stanford, CA, 2011), pp. 37–48.
  58. O. Kaplan, P. Jordan, A. V. G. Cavalieri, and G. Brès, Nozzle dynamics and wavepackets in turbulent jets, J. Fluid Mech. 923, A22 (2021).
  59. A. Michalke and U. Michel, Prediction of jet noise in flight from static tests, J. Sound Vib. 67, 341 (1979).
  60. J. H. Citriniti and W. K. George, Reconstruction of the global velocity field in the axisymmetric mixing layer utilizing the proper orthogonal decomposition, J. Fluid Mech. 418, 137 (2000).
  61. D. Jung, S. Gamard, and W. K. George, Downstream evolution of the most energetic modes in a turbulent axisymmetric jet at high Reynolds number. Part 1. The near-field region, J. Fluid Mech. 514, 173 (1999).
  62. B. J. McKeon and A. S. Sharma, A critical-layer framework for turbulent pipe flow, J. Fluid Mech. 658, 336 (2010).
  63. D. Rodríguez, A. V. G. Cavalieri, T. Colonius, and P. Jordan, A study of wavepacket models for subsonic turbulent jets using local eingemode decompostion of PIV data, Eur. J. Mech. B Fluids 49, 308 (2015).
  64. L. Lesshafft and P. Huerre, Linear impulse response in hot round jets, Phys. Fluids 19, 024102 (2007).
  65. G. Dergham, D. Sipp, and J-Ch. Robinet, Stochastic dynamics and model reduction of amplifier flows: The backward facing step, J. Fluid Mech. 719, 406 (2013).
  66. P. Nogueira, A. V. G. Cavalieri, A. Hanifi, and D. S. Henningson, Resolvent analysis in unbounded flows: The role of free-stream modes, Theor. Comput. Fluid Dyn. 34, 163 (2020).
  67. J. D. Crouch, A. Garbaruk, and D. Magidov, Predicting the onset of flow unsteadiness based on global instability, J. Comput. Phys. 224, 924 (2007).
  68. K. Oberleithner, C. O. Paschereit, and I. Wygnanski, On the impact of swirl on the growth of coherent structures, J. Fluid Mech. 741, 156 (2014).
  69. L. Rukes, O. Paschereit, and K. Oberleithner, An assessment of turbulence models for linear hydrodynamic stability analysis of strongly swirling jets, Eur. J. Mech. B Fluids 59, 205 (2016).
  70. O. Tammisola and M. P. Juniper, Coherent structures in a swirl injector at Re=4800 by nonlinear simulations and linear global modes, J. Fluid Mech. 792, 620 (2016).
  71. G. Y. Hwang and C. Cossu, Amplification of coherent streaks in the turbulent Couette flow: An input–output analysis at low Reynolds number, J. Fluid Mech. 643, 333 (2010).
  72. P. Morra, O. Semeraro, D. S. Henningson, and C. Cossu, On the relevance of Reynolds stresses in resolvent analyses of turbulent wall-bounded flows, J. Fluid Mech. 867, 969 (2019).
  73. E. Pickering, G. Rigas, O. T. Schmidt, D. Sipp, and T. Colonius, Optimal eddy-viscosity models of coherent structures in turbulent jet, J. Fluid Mech. 917, A29 (2021).
  74. P. Kuhn, J. Soria, and K. Oberleithner, Linear modeling of self-similar jet turbulence, J. Fluid Mech. 919, A7 (2021).
  75. B.-T. Chu, On the energy transfer to small scale disturbances in fluid flow (part 1), Acta Mech. 1, 215 (1965).
  76. E. Åkervik, U. Ehrenstein, F. Gallaire, and D. S. Henningson, Global two-dimensional stability measures of the flat plate boundary-layer flow, Eur. J. Mech. B Fluids 27, 501 (2008).
  77. C. Arratia, C. P. Caulfield, and J.-M. Chomaz, Transient perturbation growth in time-dependent mixing layers, J. Fluid Mech. 717, 90 (2013).
  78. M. J. P. Hack and P. Moin, Algebraic disturbance growth by interaction of Orr and lift-up mechanisms, J. Fluid Mech. 829, 112 (2017).
  79. U. Karban, B. Bugeat, A. Towne, L. Lesshafft, A. Agarwal, and P. Jordan, An empirical model of noise sources in subsonic jets, arXiv:2210.01866.
  80. M. R. Khorrami, M. R. Malik, and R. L. Ash, Applications of spectral collocation techniques to the stability of swirling flows, J. Comput. Phys. 81, 206 (1989).

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