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Vortex ring impingement on a wall with a coaxial aperture

JiaCheng Hu and Sean D. Peterson*

  • Department of Mechanical and Mechatronics Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

  • *peterson@mme.uwaterloo.ca
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Phys. Rev. Fluids 3, 084701 – Published 29 August, 2018

DOI: https://doi.org/10.1103/PhysRevFluids.3.084701

Abstract

The interaction of a vortex ring impinging on a rigid wall with a coaxial aperture is examined experimentally with various aperture sizes and vortex ring Reynolds numbers. Flow visualization and particle image velocimetry are utilized to investigate the dynamics of the impact interaction. For large aperture-to–ring radius ratios, the vortex ring passes through the aperture relatively unabated, while for smaller ratios, the incoming ring can be partially or completely blocked. For cases where the vortex ring is slightly smaller than the aperture, the vortex ring passes through, but suffers a significant loss in energy because of the influence of the wall. For apertures smaller than the ring, the vortex ring–wall interaction is similar to the dynamics of a vortex ring impacting a full wall; that is, the vortex ring-induced boundary layer separates and rolls up into a secondary vortex ring. Flow through the aperture, however, causes the formation of a new vortex ring. A semianalytical model is introduced to predict the strength of the newly formed vortex ring for small aperture-to-ring radius cases.

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References (41)

  1. J. D. A. Walker, C. R. Smith, A. W. Cerra, and T. L. Doligalski, The impact of a vortex ring on a wall, J. Fluid Mech. 181, 99 (1987).
  2. P. Orlandi and R. Verzicco, Vortex rings impinging on walls: Axisymmetric and three-dimensional simulations, J. Fluid Mech. 256, 615 (1993).
  3. C. C. Chu, C. T. Wang, and C. S. Hsieh, An experimental investigation of vortex motions near surfaces, Phys. Fluids A 5, 662 (1993).
  4. J. D. Swearingen, J. D. Crouch, and R. A. Handler, Dynamics and stability of a vortex ring impacting a solid boundary, J. Fluid Mech. 297, 1 (1995).
  5. C. C. Chu, C. T. Wang, and C. C. Chang, A vortex ring impinging on a solid plane surface—Vortex structure and surface force, Phys. Fluids 7, 1391 (1995).
  6. A. M. Naguib and M. M. Koochesfahani, On wall-pressure sources associated with the unsteady separation in a vortex-ring/wall interaction, Phys. Fluids 16, 2613 (2004).
  7. T. T. Lim, An experimental study of a vortex ring interacting with an inclined wall, Exp. Fluids 7, 453 (1989).
  8. R. Verzicco and P. Orlandi, Normal and oblique collisions of a vortex ring with a wall, Meccanica 29, 383 (1994).
  9. M. Cheng, J. Lou, and L. S. Luo, Numerical study of a vortex ring impacting a flat wall, J. Fluid Mech. 660, 430 (2010).
  10. L. D. Couch and P. S. Krueger, Experimental investigation of vortex rings impinging on inclined surfaces, Exp. Fluids 51, 1123 (2011).
  11. J. J. Allen, Y. Jouanne, and B. N. Shashikanth, Vortex interaction with a moving sphere, J. Fluid Mech. 587, 337 (2007).
  12. P. J. S. A. Ferreira De Sousa, Three-dimensional instability on the interaction between a vortex and a stationary sphere, Theor. Comput. Fluid Dyn. 26, 391 (2012).
  13. H. Ren, G. Zhang, and H. Guan, Three-dimensional numerical simulation of a vortex ring impinging on a circular cylinder, Fluid Dyn. Res. 47, 025507 (2015).
  14. T. H. New and B. Zang, Head-on collisions of vortex rings upon round cylinders, J. Fluid Mech. 833, 648 (2017).
  15. D. Adhikari and T. T. Lim, The impact of a vortex ring on a porous screen, Fluid Dyn. Res. 41, 051404 (2009).
  16. J. T. Hrynuk, J. Van Luipen, and D. Bohl, Flow visualization of a vortex ring interaction with porous surfaces, Phys. Fluids 24, 037103 (2012).
  17. C. Naaktgeboren, P. S. Krueger, and J. L. Lage, Interaction of a laminar vortex ring with a thin permeable screen, J. Fluid Mech. 707, 260 (2012).
  18. M. Cheng, J. Lou, and T. T. Lim, A numerical study of a vortex ring impacting a permeable wall, Phys. Fluids 26, 103602 (2014).
  19. J. Hu, Y. Cha, M. Porfiri, and S. D. Peterson, Energy harvesting from a vortex ring impinging on an annular ionic polymer metal composite, Smart Mater. Struct. 23, 074014 (2014).
  20. T. Miloh and D. J. Shlien, Passage of a vortex ring through a circular aperture in an infinite-plane, Phys. Fluids 20, 1219 (1977).
  21. S. Waelchli and M. M. Koochesfahani, Fluids 2000 Conference and Exhibit, Denver (American Institute of Aeronautics and Astronautics, Reston, 2000).
  22. A. Etebari and P. P. Vlachos, Improvements on the accuracy of derivative estimation from DPIV velocity measurements, Exp. Fluids 39, 1040 (2005).
  23. M. Raffel, C. E. Willert, S. T. Wereley, and J. Kompenhans, Particle Image Velocimetry: A Practical Guide, 2nd ed. (Springer, Berlin, 2007).
  24. H. Vollmers, Detection of vortices and quantitative evaluation of their main parameters from experimental velocity data, Meas. Sci. Technol. 12, 1199 (2001).
  25. P. G. Saffman, The velocity of viscous vortex rings, Stud. Appl. Math. 49, 371 (1970).
  26. I. S. Sullivan, J. J. Niemela, R. E. Hershberger, D. Bolster, and R. J. Donnelly, Dynamics of thin vortex rings, J. Fluid Mech. 609, 319 (2008).
  27. D. T. H. New and S. C. M. Yu, Vortex Rings and Jets: Recent Developments in Near-Field Dynamics (Springer, Singapore, 2015).
  28. N. Didden, On the formation of vortex rings: Rolling-up and production of circulation, J. Appl. Math. Phys. 30, 101 (1979).
  29. M. Cheng, J. Lou, and T. T. Lim, Vortex ring with swirl: A numerical study, Phys. Fluids 22, 097101 (2010).
  30. B. R. Morton, The generation and decay of vorticity, Geophys. Astrophys. Fluid Dyn. 28, 277 (1984).
  31. M. Gharib, E. Rambod, and K. Shariff, A universal time scale for vortex ring formation, J. Fluid Mech. 360, 121 (1998).
  32. T. B. Benjamin, The alliance of practical and analytical insights into the nonlinear problems of fluid mechanics, Appl. Methods Funct. Anal. Probl. Mech. 503, 8 (1976).
  33. K. Mohseni and M. Gharib, A model for universal time scale of vortex ring formation, Phys. Fluids 10, 2436 (1998).
  34. M. Rosenfeld, E. Rambod, and M. Gharib, Circulation and formation number of laminar vortex rings, J. Fluid Mech. 376, 297 (1998).
  35. M. Shusser and M. Gharib, Energy and velocity of a forming vortex ring, Phys. Fluids 12, 618 (2000).
  36. K. Mohseni, H. Ran, and T. Colonius, Numerical experiments on vortex ring formation, J. Fluid Mech. 430, 267 (2001).
  37. C. O'Farrell and J. O. Dabiri, Pinch-off of non-axisymmetric vortex rings, J. Fluid Mech. 740, 61 (2014).
  38. J. J. Allen and T. Naitoh, Experimental study of the production of vortex rings using a variable diameter orifice, Phys. Fluids 17, 061701 (2005).
  39. C. H. Cho and D. J. Lee, Formulation for volume flowrate induced by vortex rings, through circular orifice of arbitrary section profile, Phys. Fluids 25, 021702 (2013).
  40. T. T. Lim, A note on the leapfrogging between two coaxial vortex rings at low Reynolds numbers, Phys. Fluids 9, 239 (1997).
  41. J. Satti and J. Peng, Leapfrogging of two thick-cored vortex rings, Fluid Dyn. Res. 45, 035503 (2013).

Outline

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Phys. Rev. Fluids 3, 084701– Published 29 August, 2018
  • Received 22 January 2018
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