Hostname: page-component-586b7cd67f-vdxz6 Total loading time: 0 Render date: 2024-11-23T06:56:01.243Z Has data issue: false hasContentIssue false
  • English
  • Français

Three coins in a fountain

Published online by Cambridge University Press:  05 March 2013

H. K. Moffatt
H. K. Moffatt*
Affiliation:
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK
*
†Email address for correspondence: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

If, in a large expanse of fluid such as air or water, an object that is heavier than the fluid displaced is released from rest, it descends in a manner that can depend in a complex way on its geometry and density (relative to that of the fluid), and on the fluid viscosity, which, as in other fluid contexts, remains important no matter how small this viscosity may be. A major numerical attack on this problem for the case in which the object is a thin circular disc is presented by Auguste, Magnaudet & Fabre (J. Fluid Mech., vol. 719, 2013, pp. 388–405).

JFM classification

Vortex Flows: Vortex shedding Wakes/Jets: Wakes
Type
Focus on Fluids
Information
Journal of Fluid Mechanics , Volume 720 , 10 April 2013 , pp. 1 - 4
Copyright
©2013 Cambridge University Press

References

Auguste, F. 2010 Instabilité de sillage et trajectoires d’un corps solide cylindrique immergé dans un fluide visqueux. PhD thesis, Université Paul Sabatier, Toulouse, France. Available athttps://www.imft.fr/Projet-ANR-OBLIC.Google Scholar
Auguste, F., Magnaudet, J. & Fabre, D. 2013 Falling styles of discs. J. Fluid Mech. 719, 388–405.Google Scholar
Ern, P., Risso, F., Fabre, D. & Magnaudet, J. 2012 Wake-induced oscillatory paths of bodies freely rising or falling in fluids. Annu. Rev. Fluid Mech. 44, 97–121.Google Scholar
Field, S., Klaus, M., Moore, M. & Nori, F. 1997 Chaotic dynamics of falling discs. Nature 388, 252–254.Google Scholar
Maxwell, J. C. 1853 On a particular case of the descent of a heavy body in a resisting medium. In The Scientific Papers of James Clerk Maxwell, vol. 1, pp. 115–118. Cambridge University Press (2010).Google Scholar
Moffatt, H. K. 2013 The fluid dynamics of James Clerk Maxwell. In James Clerk Maxwell(ed. R. Flood, M. McCartney & A. Whitaker), (in press) Oxford University Press.Google Scholar
Norberg, R. A. 1973 Autorotation, self-stability and structure of single-winged seeds (samaras) with comparative remarks on animal flight. Biol. Rev. 48, 561–596.Google Scholar
Stewartson, K. 1974 Multistructured boundary layer on flat plates and related bodies. Adv. Appl. Mech. 14, 145–239.Google Scholar
Zdravkovich, M. M. 1969 Smoke observations of the formation of a von Kármán vortex street. J. Fluid Mech. 37, 491–496.Google Scholar

Three coins in a fountain

Trajectory and vorticity structures in the wake for a falling disk, illustrating the 6 non-vertical falling styles (vintage B&W version)

Download Three coins in a fountain(Video)
Video 15.9 MB

Three coins in a fountain (color)

Trajectory and vorticity structures in the wake for a falling disk, illustrating the 6 non-vertical falling styles (color version)

Download Three coins in a fountain (color)(Video)
Video 17.9 MB