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Related Experiment Videos

Reconnection of colliding vortex rings.

Philippe Chatelain1, Demosthenes Kivotides, Anthony Leonard

  • 1Graduate Aeronautical Laboratories, California Institute of Technology, Pasadena 91125, USA.

Physical Review Letters
|March 14, 2003
PubMed
Summary

Numerical simulations reveal that reconnecting vortex rings at low Reynolds numbers dissipate energy. This occurs through vorticity smoothing and the creation of secondary structures that transfer energy to smaller scales for efficient dissipation.

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Area of Science:

  • Fluid Dynamics
  • Computational Physics

Background:

  • Vortex rings are fundamental structures in fluid dynamics.
  • Reconnection events in vortex rings are complex phenomena.
  • Understanding energy dissipation in vortical flows is crucial.

Purpose of the Study:

  • To numerically investigate the Navier-Stokes dynamics of reconnecting vortex rings.
  • To analyze energy dissipation mechanisms during vortex ring reconnection.
  • To explore the influence of configurations on reconnection dynamics at small Reynolds numbers.

Main Methods:

  • Numerical simulations using the Navier-Stokes equations.
  • Analysis of vortex ring dynamics for various configurations.
  • Investigation at small Reynolds numbers.

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Main Results:

  • Vortex ring reconnections are found to be dissipative.
  • Dissipation occurs via smoothing of vorticity gradients and formation of secondary antiparallel vorticity structures.
  • These secondary structures transfer kinetic energy to small scales for efficient dissipation.
  • Relaxation of reconnection kinks excites damped Kelvin waves affecting large-scale flow properties.

Conclusions:

  • Vortex ring reconnection is an inherently dissipative process.
  • Energy transfer to small scales is a key dissipation pathway.
  • Kelvin waves generated during reconnection have limited impact on small scales due to damping.