Abstract
An experimental study has been made on the interaction of a vortex ring with a plane solid boundary which is inclined to the axis of the ring. Dye visualizations of the ring during the interaction revealed (i) the formation of bi-helical vortex lines around the circumferential axis of the ring, and (ii) that these vortex lines were constantly being displaced along the circumferential axis on either side of the plane of symmetry and towards the region of the ring furthest away from the wall. Key factors which may be responsible for this phenomenon have been identified and are discussed in this paper.
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References
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. mech. Lehigh University, Bethleham/ PA, USA
Falco, R. E.; Wiggert D. C. 1980: Effect of dilute polymer solution on vortex ring/wall interactions — A mechanism for drag reduction. In: Viscous flow drag reduction, pp. 275–289. New York: AIAA (Progress in astronautics and aeronautic 72)
Fohl, T.; Turner, J. S. 1975: Colliding vortex rings. Phys. Fluids 18, 433–436
Izutsu, N.; Ishii, Y.; Oshima, K.; Oshima, Y. 1987: Time-like visualization of vortical flow field. In: Flow visualization IV. (ed. Véret, C., pp. 425–430, Washington/DC: Hemisphere
Leonard, A. 1975: Numerical simulation of interacting, threedimensional vortex filaments. In: Proc. fourth int. conf. numerical method in fluid dynamics, Colorado, pp. 245–250. Berlin, Heidelberg, New York: Springer
Leonard, A. 1985: Computing three-dimensional incompressible flows with vortex elements. Annu. Rev. Fluid Mech. 17, 523–559
Lighthill, M. J. 1963: Attachment and separation in three-dimensional flow. in: Laminar boundary layers (Ed. Rosenhead, L.), pp. 48–88. Oxford: Clarendon Press
Lugt, H. J. 1983: Vortex flow in nature and technology, p. 94. New York: Wiley
Magarvey, R. H.; MacLatchy, C. S. 1964: The disintegration of vortex rings. Can. J. Phys. 42, 684–689
Maxworthy, T. 1972: The structure and stability of vortex rings. J. Fluid Mech. 51, 15–32
Maxworthy, T. 1977: Some experimental studies of vortex rings. J. Fluid Mech. 81, 465–495
Moore, D. W.; Saffman, P. G. 1972: The motion of a vortex filament with axial flow. Philos. Trans. R. Soc. London Ser. A 272, 403–429
Oshima, Y.; Asaka, S. 1977: Interaction of two vortex rings along parallel axes in air. J. Phy. Soc. Jpn. 42, 708–713
Saffman, P. G. 1970: The velocity of viscous vortex rings. Stud. Appl. Math. 49, 371–380
Schneider, P. E. M. 1978a Werden, Bestehen, Instabilität, Regeneration, Vergehen eines Ringwirbels. Bericht, Max-Planck-Institut für Strömungsforschung, Göttingen, FRG
Schneider, P. E. M. 1978b Morphologisch-phänomenologische Untersuchung der Wechselwirkung zweier Ringwirbel gleicher Translationsachse und Translationsrichtung. Bericht, Max-Planck-Institut für Strömungsforschung, Göttingen, FRG
Schultz-Grunow, F. 1982: Sudden transition to turbulence demonstrated by impinging laminar vortex rings. In: Flow visualization II. (Ed. Merzkirch, W.), pp. 361–365, Washington/DC: Hemisphere
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.; Matsui, T. 1982: Visualization of vortex interaction using smoke-wire technique. In: Flow visualization II. (Ed. Merzkirch, W.), pp. 355–359, Washington/DC: Hemisphere
Yamada, H.; Kohsaka, T.; Yamabe, H.; Matsui, T. 1982: Flowfield produced by a vortex ring near a plane wall. J. Phy. Soc. Jpn. 51, 1663–1670
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Lim, T.T. An experimental study of a vortex ring interacting with an inclined wall. Experiments in Fluids 7, 453–463 (1989). https://doi.org/10.1007/BF00187063
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DOI: https://doi.org/10.1007/BF00187063