Abstract
A single vortex ring subject to background rotation in the process of wall impingement has been experimentally investigated by particle tracking velocimetry (PTV). Two parameter conditions of Reynolds and Rossby numbers were chosen in addition to stationary environment as much strong and competitive Coriolis force emerges in comparison with inertia induced by vortex rings. From horizontal PTV windows set on the rotating experimental frame above the bottom wall, comprehensive influences of Coriolis force on the wall-impinging reaction are visualized as space–time three-dimensional vorticity distributions. Against natural growth of azimuthal waves due to Widnall instability, wall-impinging suppresses the waves and rather re-organizes original primary vortex because of cyclonic swirl coherently induced during impingement. This resists to turbulent collapse of vortex ring during the impingement and self-boosts own life time. We try to explain the mechanism of such an anti-decaying process in the final part, untangling the phenomenon with best read from the space–time correlations among three vorticity components.
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Arévalo G, Hernández RH, Nicot C, Plaza F (2010) Particle image velocimetry measurements of vortex rings head-on collision with a heated vertical plate. Phys Fluids 22:053604
Auerbach D (1988) Some open questions on the flow of circular vortex rings. Fluid Dyn Res 3:209–213
Bethke N, Dalziel SB (2012) Resuspension onset and crater erosion by a vortex ring interacting with a particle layer. Phys Fluids 24:063301
Boldes U, Ferreri JC (1973) Behavior of vortex rings in the vicinity of a wall. Phys Fluids 16(11):2005–2006
Brend MA, Thomas PJ (2009) Decay of vortex rings in a rotating fluid. Phys Fluids 21(4):44105
Cheng M, Lou J, Lim TT (2014) A numerical study of a vortex ring impacting a permeable wall. Phys Fluids 26:103602
Chu CC, Wang CT, Chang CC (1995) A vortex ring impinging on a solid plane surface—vortex structure and surface force. Phys Fluids 7(6):1391–1401
Dazin A, Dupont P, Stanislas M (2006) Experimental characterization of the instability of the vortex ring. Part I: linear phase. Exp Fluids 40:383–399
Dziedzic M, Leutheusser HJ (1996) An experimental study of viscous vortex rings. Exp Fluids 21:315–324
Gargan-Shingles C, Rudman M, Ryan K (2015) The evolution of swirling axisymmetric vortex ring. Phys Fluids 27:087101
Gharib M, Rambod E, Shariff K (1998) A universal time scale for vortex ring formation. J Fluid Mech 360:121–140
Glezer A (1988) The formation of vortex rings. Phys Fluids 31:3532–3542
Ido T, Murai Y (2006) A recursive interpolation algorithm for particle tracking velocimetry. Flow Meas Instrum 17:267–275
Ido T, Murai Y, Yamamoto F (2002) Post-processing algorithm for particle tracking velocimetry based on ellipsoidal equations. Exp Fluids 32:326–336
Ishikawa M, Murai Y, Wada A, Iguchi K, Yamamoto F (2000) A novel algorithm for particle tracking velocimetry using the velocity gradient tensor. Exp Fluids 29(6):519–531
Jambunathan K, Lai E, Moss MA, Button BL (1992) A review of heat-transfer data for single circular jet impingement. Int J Heat Fluid Flow 13:106–115
Kitaura H, Murai Y, Takeda Y, Thomas PJ (2010) Velocity vector field measurement of vortex rings using UVP. Trans Jpn Soc Mech Eng 76:2143–2151
Krueger PS (2005) An over-pressure correction to the slug model for vortex ring circulation. J Fluid Mech 545:427–443
Krueger PS, Gharib M (2003) The significance of vortex ring formation to the impulse and thrust of a starting jet. Phys Fluids 15:1271–1281
Linden PF, Turner JS (2001) The formation of ‘optimal’ vortex rings and the efficient of propulsion devices. J Fluid Mech 427:61–72
Luton JA, Ragab SA (1997) The three-dimensional interaction of a vortex pair with a wall. Phys Fluids 9(10):2967–2980
Martin H (1977) Heat and mass transfer between impinging gas jets and solid surfaces. Adv Heat Transf 13:1–60
Masuda N, Yoshida J, Ito B, Furuya T, Sano O (2012) Collision of a vortex ring on granular material, part I: interaction of the vortex ring with the granular layer. Fluid Dyn Res 44:015501
Misaka T, Holzäpfel F, Hennemann I, Gerz T, Manhart M, Schwertfirm F (2012) Vortex bursting and tracer transport of a counter-rotating vortex pair. Phys Fluids 24:025104
Moffatt HK (1988) Generalised vortex rings with and without swirl. Fluid Dyn Res 3:22–30
Mohseni K, Gharib M (1998) A model for universal time scales of vortex ring formation. Phys Fluids 10:2436–2438
Mujal-Colilles A, Dalziel SB, Bateman A (2015) Vortex rings impinging on permeable boundaries. Phys Fluids 27:015106
Murai Y, Vlaskamp JHA, Nambu Y, Yoshimoto T, Brend MA, Denissenko P, Thomas PJ (2013) Off-axis PTV for 3-D visualization of rotating columnar flows. Exp Therm Fluid Sci 51:342–353
Murai Y, Tasaka Y, Oishi Y, Takeda Y (2018) Modal switching of bubbly Taylor–Couette flow investigated by particle tracking velocimetry. Exp Fluids 59:164
Naaktgeboren C, Krueger PS, Lage JL (2012) Interaction of a laminar vortex ring with a thin permeable screen. J Fluid Mech 707:260–286
Naguib AM, Koochesfahani MM (2004) On wall-pressure sources associated with the unsteady separation in a vortex-ring/wall interaction. Phys Fluids 16(7):2613–2622
Naitoh T, Okura N, Gotoh T, Kato Y (2014) On the evolution of vortex rings with swirl. Phys Fluids 26:067101
Norbury J (1973) A family of steady vortex ring. J Fluid Mech 57:417–431
Orlandi P, Verzicco R (1993) Vortex rings impinging on walls: axisymmetric and three-dimensional simulations. J Fluid Mech 256:615–646
Ponitz B, Sastuba M, Brücker C (2016) 4D visualization study of a vortex ring life cycle using model analyses. J Vis 19:237–259
Saffman PG (1970) The velocity of viscous vortex rings. Stud Appl Math XLIX(4):371–380
Schram C, Riethmuller ML (2001) Vortex ring evolution in an impulsively started jet using digital particle image velocimetry and continuous wavelet analysis. Meas Sci Technol 12:1413–1421
Shariff K, Leonard A (1992) Vortex rings. Ann Rev Fluid Mech 24:235–279
Suzuki A, Kumagai I, Nagata Y, Kurita K, Barnouin-Jha OS (2007) Modes of ejecta emplacement at Martian craters from laboratory experiments of an expanding vortex ring interacting with a particle layer. Geophys Res Lett 34:L05203
Swearingen JD, Crouch JD, Handler RA (1995) Dynamics and stability of a vortex ring impacting a solid boundary. J Fluid Mech 297:1–28
Takahashi J, Tasaka Y, Murai Y, Takeda Y, Yanagisawa T (2010) Experimental study of cell transition induced by internal heat sources in a shallow fluid layer. Int J Heat Mass Transf 53:1483–1490
Tung C, Ting L (1967) Motion and decay of a vortex ring. Phys Fluids 10:901–910
Turkington B (1989) Vortex rings with swirl: axisymmetric solutions of the Euler equations with nonzero helicity. SIAM J Math Anal 20(1):57–73
Verzicco R, Orlandi P, Eisenga AHM, van Heijst GJF, Carnevale GF (1996) Dynamics of a vortex ring in a rotating fluid. J Fluid Mech 317:215–239
Walker JDA, Smith CR, Cerra AW, Doligalski TL (1987) The impact of a vortex ring on a wall. J Fluid Mech 181:99–140
Weigand A, Gharib M (1994) On the decay of a turbulent vortex ring. Phys Fluids 6:3806–3808
Widnall SE, Bliss DB, Tsai CY (1974) The instability of short waves on a vortex ring. J Fluid Mech 66:35–47
Xu Y, He GS, Kulkarni V, Wang JJ (2017) Experimental investigation of influence of Reynolds number on synthetic jet vortex ring impinging onto a solid wall. Exp Fluids 58:6
Yamada H, Kohsaka T, Yamabe H, Matsui T (1982) Flowfield produced by a vortex ring near a plane wall. J Phys Soc Jpn 51(5):1663–1670
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We acknowledge Mr. Yuichi Nambu and Mr. Yuki Aikawa for their technical supports in measurement instrumentation.
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Oishi, Y., Murai, Y. & Tasaka, Y. Quantitative visualization of vortex ring structure during wall impingement subject to background rotation. J Vis 22, 867–876 (2019). https://doi.org/10.1007/s12650-019-00575-4
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DOI: https://doi.org/10.1007/s12650-019-00575-4