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Starting vortex dipoles in a viscous fluid: Asymptotic theory, numerical simulations, and laboratory experiments
 

Summary: Starting vortex dipoles in a viscous fluid: Asymptotic theory, numerical
simulations, and laboratory experiments
Y. D. Afanasyeva)
and V. N. Korabel
Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John's,
Newfoundland A1B 3X7, Canada
(Received 21 January 2004; accepted 13 July 2004; published online 15 September 2004)
Translational velocity of the starting vortex dipoles generated by the continuous or impulsive action
of a localized force is obtained theoretically on simple physical grounds. Solutions of the diffusion
equation for vorticity which take into account the translational motion of fluid particles are then
obtained and compared with the results of direct numerical simulations of vortex dipoles as well as
with the laboratory experiments. The comparison shows good quantitative agreement in both cases.
Theoretical results for the translational velocity of the three-dimensional (axisymmetric) flows such
as starting jets or vortex rings are discussed as well. 2004 American Institute of Physics.
[DOI: 10.1063/1.1790493]
I. INTRODUCTION
Organized dipolar vortex structures are a very well
known feature of quasi-two-dimensional flows where motion
in one direction is suppressed due to one of the following
physical mechanisms: background rotation of the system,

  

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

 

Collections: Geosciences