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Flight in a viscous fluid: Asymptotic theory of the vortex wake Yakov Afanasyeva
 

Summary: Flight in a viscous fluid: Asymptotic theory of the vortex wake
Yakov Afanasyeva
Department of Physics and Physical Oceanography, Memorial University of Newfoundland, St. John's,
Newfoundland A1B 3X7, Canada
Received 28 July 2004; accepted 10 December 2004; published online 8 February 2005
Solutions for the three-dimensional distributions of vorticity in the wake behind localized forces
moving in a viscous fluid are obtained. The forces simulate the drag, thrust, and lift forces applied
on the fluid by a flying animal such as a small insect. Concentrated vortex tubes in the wake are also
illustrated in a visualization experiment where a "virtual" insect is modeled using the
electromagnetic method of forcing. 2005 American Institute of Physics.
DOI: 10.1063/1.1855700
Compact vortex structures are generated in a viscous
fluid when some distribution of force is applied locally. If
such a distribution can be reduced to a single force applied at
a point, the generic types of vortex structures generated by
the force are a vortex dipole in a two-dimensional 2D ge-
ometry or an axisymmetric vortex ring in 3D. The solutions
for the problems where the forcing can be formally presented
by the Dirac function were obtained previously by different
authors Slezkin,1

  

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

 

Collections: Geosciences