Abstract
It is well documented that a trailing vortex pair approaching the ground, and a vortex ring colliding head-on with a rigid plane, experience a reversal in axial velocity which is commonly referred to as “rebound”. One explanation of this phenomenon suggests that it is essentially an inviscid process due to the effect of the finite core-size, whereas another and more widely accepted explanation attributes it to the influence of a secondary vortex which is generated at the surface by viscous effects. The aim of this paper is to assess experimentally the validity of these competing explanations. To achieve this, flow visualization studies of the collision of a vortex ring with a wall are compared with those of the head-on collision of two identical rings. The head-on collision is designed to mimic the inviscid, free-slip case of a ring/wall interaction. This paper describes the experimental findings.
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References
Barker, S. J.; Crow, S. C. 1977: The motion of two-dimensional vortex pairs in a ground effect. J. Fluid. Mech. 82, 659–671
Boldes, U.; Ferreri, J. C. 1973: Behaviour of vortex rings in the vicinity of a wall. Phys. Fluids 16, 2005–2006
Cerra, A. W.; Smith, C. R. 1983: Experimental observations of vortex ring interaction with the fluid adjacent to a surface. Report FM-4, Dept. Mech. Eng. & Mechanics, Lehigh University, Bethlehem PA, USA
Dyson, F. W. 1893: The potential of an anchor ring — part II. Phil. Trans. A184, 1041–1106
Harvey, J. K.; Perry, F. J. 1971: Flowfield produced by trailing vortices in the vicinity of the ground. A.I.A.A. J. 9, 1659–1660
Lighthill, M. J. 1963: Attachment and separation in three-dimensional flow. In: Laminar boundary layers (Ed. Rosenhead, L.) pp 48–88. Oxford: Clarendon Press
Lim, T. T. 1989: An experimental study of a vortex ring interacting with an inclined wall. Exp. Fluids 7, 453–463
Magarvey, R. H.; MacLatchy, C. S. 1964: The disintegration of vortex rings. Can. J. Phys. 42, 684–689
Maxworthy, T. 1977: Some experimental studies of vortex rings. J. Fluid Mech. 81, 465–495
Melander, M. V.; Hussain, F. 1988: Cut-and-connect of two antiparallel vortex tubes. Proceedings of the 1988 Summer Program, Report CTR-S88, Center for Turbulence Research, NASA Ames Research Center/Stanford University, 257–286
Oshima, Y. 1978: Head-on collision of two vortex rings. J. Phys. Soc. Japan 44, 328–331
Saffman, P. G. 1970: The velocity of viscous vortex rings. Studies in Applied Mathematics 49, 371–380
Saffman, P. G. 1979: The approach of a vortex pair to a plane surface in inviscid fluid. J. Fluid Mech. 92, 497–503
Saffman, P. G. 1990: A model of vortex reconnection. J. Fluid Mech. 212, 395–402
Schultz-Grunow, F. 1980: Sudden transition to turbulence demonstrated by impinging laminar smoke rings. Flow Visualization II (Ed. Merzkirch, W.) Washington: Hemisphere, pp 361–365
Walker, J. D. A.; Smith, C. R.; Cerra, A. W.; Doligalski, T. L. 1987: The impact of a vortex ring on a wall. J. Fluid Mech. 181, 99–140
Yamada, H.; Kohsaka, T.; Yamabe, H.; Matsui, T. 1982: Flowfield produced by a vortex ring near a plane wall. J. Phy. Soc. Japan 51, 1663–1670
Yamada, H.; Mochizuki, O.; Yamabe, H.; Matsui, T. 1985: Pressure variation on a flat wall induced by an approaching vortex ring. J. Phy. Soc. Japan 54, 4151–4160
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Lim, T.T., Nickels, T.B. & Chong, M.S. A note on the cause of rebound in the head-on collision of a vortex ring with a wall. Experiments in Fluids 12, 41–48 (1991). https://doi.org/10.1007/BF00226564
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DOI: https://doi.org/10.1007/BF00226564