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J. Fluid Mech. (1995), vol. 282, pp. 2144 Copyright 0 1995 Cambridge University Press
 

Summary: J. Fluid Mech. (1995), vol. 282, pp. 2144
Copyright 0 1995 Cambridge University Press
21
Two-dimensional flows with zero
net momentum: evolution of vortex quadrupoles
and oscillating-gridturbulence
By S. I. VOROPAYEV', Y. D. AFANASYEV'
AND G.J. F. V A N HEIJST'
Institute of Oceanology, Russian Academy of Sciences, Krasikova 23, Moscow 117851, Russia
J. M. Burgers Centre for Fluid Mechanics, Department of Technical Physics, Eindhoven
University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands
(Received 15 September 1992 and in revised form 7 July 1994)
The planar flow arising in an initially quiescent viscous fluid under the action of a
localized dipolar-type forcing has been studied analytically and experimentally. The
force dipole, with non-dimensional forcing amplitude Re, brings net zero momentum
into the fluid and gives rise to the formation of a quadrupolar vortex: a system of two
dipolar vortices moving apart. Experimentally, the action of a force dipole was
modelled by a vertical cylinder oscillatinghorizontally in the shallow upper layer of a
two-layer fluid. Two cases were studied: single quadrupoles and an array of
quadrupoles. It is found that single quadrupoles develop in a self-similar manner: the

  

Source: Afanassiev, Iakov - Department of Physics and Physical Oceanography, Memorial University of Newfoundland

 

Collections: Geosciences