Export citation

Export citation

Choose format for download:

Download Citation
  • Access by Xinjiang University

Asymmetric forcing of convectively unstable transverse jets

Andrea Besnard, Elijah W. Harris, and Ann R. Karagozian*

  • Department of Mechanical and Aerospace Engineering, University of California, Los Angeles, Los Angeles, California 90095, USA

  • *ark@ucla.edu

Phys. Rev. Fluids 7, 063902 – Published 23 June, 2022

DOI: https://doi.org/10.1103/PhysRevFluids.7.063902

Abstract

The present paper explores the effect of asymmetric and helical excitation of the flow about the exit plane of a jet injected perpendicularly into crossflow. Both acetone planar laser-induced fluorescence and stereo particle image velocimetry were used to quantify transverse jet response at relatively high jet-to-crossflow momentum flux ratios (J=61 and 41), which in the absence of external excitation produced a highly penetrating jet with a naturally convectively unstable upstream shear layer (USL) and asymmetric cross-sectional shape. For various excitation conditions, in some cases involving complete clockwise or clockwise perturbations and, in other cases, localized perturbations, alterations in the spectral character of the USL were observed, including lock-in to the applied frequency and quasiperiodicity involving applied and natural frequencies. For forcing frequencies and amplitudes producing lock-in, asymmetric excitation was found to accelerate USL vorticity roll-up and improved mean symmetry in the jet cross section. With these alterations in jet structure, molecular mixing between jet and crossflow fluid was improved in both center plane and cross-sectional planes of the transverse jet. Proper orthogonal decomposition analysis applied to the images revealed 2D and 3D mode coefficient plots with interesting topological features. In many cases, these phase diagrams revealed attractor like shapes, especially when excitation frequencies and amplitudes produced lock-in of the USL, suggesting that with further study, such topologies could be used as characteristic signatures for mixing optimization and low-order model development.

Physics Subject Headings (PhySH)

Article Text

References (65)

  1. A. R. Karagozian, Transverse jets and their control, Prog. Energy Combust. Sci. 36, 531 (2010).
  2. L. Gevorkyan, T. Shoji, D. R. Getsinger, O. I. Smith, and A. R. Karagozian, Transverse jet mixing characteristics, J. Fluid Mech. 790, 237 (2016).
  3. R. M. Kelso, T. T. Lim, and A. E. Perry, An experimental study of round jets in cross-flow, J. Fluid Mech. 306, 111 (1996).
  4. L. Cortelezzi and A. R. Karagozian, On the formation of the counter-rotating vortex pair in transverse jets, J. Fluid Mech. 446, 347 (2001).
  5. S. Megerian, J. Davitian, L. S. de B. Alves, and A. R. Karagozian, Transverse-jet shear-layer instabilities. Part 1. Experimental studies, J. Fluid Mech. 593, 93 (2007).
  6. R. M. Kelso and A. J. Smits, Horseshoe vortex systems resulting from the interaction between a laminar boundary layer and a transverse jet, Phys. Fluids 7, 153 (1995).
  7. T. F. Fric and A. Roshko, Vortical structure in the wake of a transverse jet, J. Fluid Mech. 279, 1 (1994).
  8. Z. M. Moussa, J. W. Trischka, and S. Eskinazi, The nearfield in the mixing of a round jet with a cross-stream, J. Fluid Mech. 80, 49 (1977).
  9. T. Shoji, E. W. Harris, A. Besnard, S. G. Schein, and A. R. Karagozian, Transverse jet lock-in and quasiperiodicity, Phys. Rev. Fuids 5, 013901 (2020).
  10. T. Shoji, A. Besnard, E. W. Harris, R. T. M'Closkey, and A. R. Karagozian, Effects of axisymetric square-wave excitation on transverse jet structure and mixing, AIAA J. 57, 1862 (2019).
  11. T. Shoji, E. W. Harris, A. Besnard, and A. R. Karagozian, Effects of sinusoidal excitation on transverse jet dynamics, structure and mixing, AIAA J. 58, 3889 (2020).
  12. J. Davitian, D. Getsinger, C. Hendrickson, and A. R. Karagozian, Transition to global instability in transverse-jet shear layers, J. Fluid Mech. 661, 294 (2010).
  13. A. K. M. F. Hussain and K. B. M. Q. Zaman, The free shear layer tone phenomenon and probe interference, J. Fluid Mech. 87, 349 (1978).
  14. T. Shoji, E. W. Harris, A. Besnard, S. G. Schein, and A. R. Karagozian, On the origins of transverse shear layer instability transition, J. Fluid Mech. 890, A7 (2020).
  15. D. R. Getsinger, C. Hendrickson, and A. R. Karagozian, Shear layer instabilities in low-density transverse jets, Exp. Fluids 53, 783 (2012).
  16. P. S. Iyer and K. Mahesh, A numerical study of shear layer characteristics of low-speed transverse jets, J. Fluid Mech. 790, 275 (2016).
  17. M. A. Regan and K. Mahesh, Adjoint sensitivity and optimal perturbations of the low-speed jets in cross-flow, J. Fluid Mech. 877, 330 (2019).
  18. E. W. Harris, A. Besnard, and A. Karagozian, Effect of tabs on transverse jet instabilities, structure, vorticity dynamics and mixing, J. Fluid Mech. 918, A8 (2021).
  19. D. R. Getsinger, L. Gevorkyan, O. I. Smith, and A. R. Karagozian, Structural and stability characteristics of jets in crossflow, J. Fluid Mech. 760, 342 (2014).
  20. L. Gevorkyan, T. Shoji, W. Y. Peng, and A. R. Karagozian, Influence of the velocity field on scalar transport in gaseous transverse jets, J. Fluid Mech. 834, 173 (2018).
  21. L. K. B. Li and M. P. Juniper, Lock-in and quasiperiodicity in a forced hydrodynamically self-excited jet, J. Fluid Mech. 726, 624 (2013).
  22. K. Kashinath, L. K. B. Li, and M. P. Juniper, Forced synchronization of periodic and aperiodic thermoacoustic oscillations: lock-in, bifurcations and open-loop control, J. Fluid Mech. 838, 690 (2018).
  23. J. Davitian, C. Hendrickson, D. Getsinger, R. T. M'Closkey, and A. R. Karagozian, Strategic control of transverse jet shear layer instabilities, AIAA J. 48, 2145 (2010).
  24. E. W. Harris, T. Shoji, A. Besnard, S. G. Schein, R. T. M'Closkey, L. Cortelezzi, and A. R. Karagozian, Effects of controlled vortex generation and interactions in transverse jets, Phys. Rev. Fluids 7, 013902 (2022).
  25. P. V. Danckwerts, The definition and measurement of some characteristics of mixtures, Appl. Sci. Res. 3, 279 (1952).
  26. S. H. Smith, The Scalar Concentration Field of the Axisymmetric Jet in Crossflow, Ph.D. thesis, Stanford University, Department of Mechanical Engineering, 1996.
  27. A. Kukukova, J. Aubin, and S. M. Kresta, A new definition of mixing and segregation: Three dimensions of a key process variable, Chem. Eng. Res. Des. 87, 633 (2009).
  28. J. E. Broadwell and R. E. Breidenthal, Structure and mixing of a transverse jet in incompressible flow, J. Fluid Mech. 148, 405 (1984).
  29. L. K. B. Li and M. P. Juniper, Lock-in and quasiperiodicity in hydrodynamically self-excited flames: Experiments and modeling, Proc. Combust. Inst. 34, 947 (2013).
  30. G. Batchelor and A. Gill, Analysis of the stability of axisymmetric jets, J. Fluid Mech. 14, 529 (1962).
  31. A. Michalke, Survey on jet instability theory, Prog. Aerosp. Sci. 21, 159 (1984).
  32. G. E. Mattingly and C. C. Chang, Unstable waves on an axisymmetric jet column, J. Fluid Mech. 65, 541 (1974).
  33. P. Plaschko, Helical instabilities of slowly divergent jets, J. Fluid Mech. 92, 209 (1979).
  34. S. Leibovich, Vortex stability and breakdown: Survey and extension, AIAA J. 22, 1192 (1984).
  35. P. J. R. Strange and D. G. Crighton, Spinning modes on axisymmetric jets. part 1, J. Fluid Mech. 134, 231 (1983).
  36. F. Gallaire and J. M. Chomaz, Mode selection in swirling jet experiments: A linear stability analysis, J. Fluid Mech. 494, 223 (2004).
  37. S. C. Crow and F. H. Champagne, Orderly structure in jet turbulence, J. Fluid Mech. 48, 547 (1971).
  38. J. Cohen and I. Wygnanski, The evolution of instabilities in the axisymmetric jet. Part 1. The linear growth of disturbances near the nozzle, J. Fluid Mech. 176, 191 (1987).
  39. S. M. Kusek, T. C. Corke, and P. Reisenthel, Seeding of helical modes in the initial region of an axisymmetric jet, Exp. Fluids 10, 116 (1990).
  40. T. C. Corke and S. M. Kusek, Resonance in axisymmetric jets with controlled helical-mode input, J. Fluid Mech. 249, 307 (1993).
  41. I. Gursul, Effect of nonaxisymmetric forcing on a swirling jet with vortex breakdown, J. Fluids Eng. 118, 316 (1996).
  42. L. S. d. B. Alves, R. E. Kelly, and A. R. Karagozian, Local stability analysis of an inviscid transverse jet, J. Fluid Mech. 581, 401 (2007).
  43. L. S. d. B. Alves, R. E. Kelly, and A. R. Karagozian, Transverse-jet shear-layer instabilities. part 2. linear analysis for large jet-to-crossflow velocity ratio, J. Fluid Mech. 602, 383 (2008).
  44. L. Gevorkyan, Structure and Mixing Characterization of Variable Density Transverse Jet Flows, Ph.D. thesis, University of California, Los Angeles, 2015.
  45. A. Lozano, Laser-Excited Luminescent Tracers for Planar Concentration Measurements in Gaseous Jets, Ph.D. thesis, Stanford University, Department of Mechanical Engineering, 1992.
  46. T. Shoji, Mixing and Structural Characteristics of Unforced and Forced Jets in Crossflow, Ph.D. thesis, University of California, Los Angeles, 2017.
  47. D. R. Getsinger, Shear Layer Instabilities and Mixing in Variable Density Transverse Jet Flows, Ph.D. thesis, University of California, Los Angeles, 2012.
  48. L. K. Su and M. G. Mungal, Simultaneous measurements of scalar and velocity field evolution in turbulent crossflowing jets, J. Fluid Mech. 513, 1 (1999).
  49. K. Canzonieri, Experimental Studies on Low Density Jets in Crossflow, master's thesis, University of California, Los Angeles, Department of Mechanical and Aerospace Engineering, 2009.
  50. A. C. Besnard, External Asymmetric Forcing of Convectively Unstable Transverse Jets, Ph.D. thesis, University of California, Los Angeles, Department of Mechanical and Aerospace Engineering, 2019.
  51. K. R. Sreenivasan, S. Raghu, and D. Kyle, Absolute instability in variable density round jets, Exp. Fluids 7, 309 (1989).
  52. P. Huerre and P. A. Monkewitz, Local and global instabilities in spatially developing flows, Annu. Rev. Fluid Mech. 22, 473 (1990).
  53. M. P. Juniper, L. K. B. Li, and J. W. Nichols, Forcing of self-excited round jet diffusion flames, Proc. Combust. Inst. 32, 1191 (2009).
  54. L. Sirovich, Turbulence and the dynamics of coherent structures, Quart. Appl. Math. 45, 561 (1987).
  55. K. E. Meyer, J. M. Pedersen, and O. Özcan, A turbulent jet in crossflow analysed with proper orthogonal decomposition, J. Fluid Mech. 583, 199 (2007).
  56. P. Schlatter, S. Bagheri, and D. S. Henningson, Self-sustained global oscillations in a jet in crossflow, Theor. Comput. Fluid Dyn. 25, 129 (2011).
  57. R. Vernet, L. Thomas, and L. David, Analysis and reconstruction of a pulsed jet in crossflow by multiplane snapshot POD, Exp. Fluids 47, 707 (2009).
  58. H. Poincaré, Mémoire sur les courbes définies par une équation différentielle (I), J. Mathémat. Pures Appliq. 7, 375 (1881).
  59. G. Bidan, C. Vezier, and D. Nikitopoulos, Study of unforced and modulated film-cooling jets using proper orthogonal decomposition, Part 2: Forced jets, J. Turbomach. 135, 021038 (2013).
  60. G. Berkooz, P. Holmes, and J. L. Lumley, The proper orthogonal decomposition in the analysis of turbulent flows, Annu. Rev. Fluid Mech. 25, 539 (1993).
  61. J. Miles, Strange attractors in fluid dynamics, Adv. Appl. Mech. 24, 189 (1984).
  62. S. H. Strogatz, in Nonlinear Dynamics and Chaos with Applications to Physics, Biology, Chemistry, and Engineering (Perseus Books, Reading, MA, 1994), pp. 317–335.
  63. Y. Guan, M. Murugesan, and L. K. B. Li, Strange nonchaotic and chaotic attractors in a self-excited thermoacoustic oscillator subjected to external periodic forcing, Chaos 28, 093109 (2018).
  64. H. S. Sim, A. Vargas, D. D. Ahn, and A. R. Karagozian, Laminar microjet diffusion flame response to transverse acoustic excitation, Combust. Sci. Technol. 192, 1292 (2020).
  65. M. Bonetti and J.-P. Boon, Chaotic dynamics in open flow: The excited jet, Phys. Rev. A 40, 3322 (1989).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation