Experiments in Fluids

, 22:447 | Cite as

On the evolution of laminar vortex rings

  • A. Weigand
  • M. Gharib


Using Laser Doppler Anemometry (LDA) and Digital Particle Image Velocimetry (DPIV), the physical properties of laminar vortex rings are investigated in the Reynolds-number range 830 ≤ Re ≤ 1650. The measured initial circulations of the vortex rings are found to agree well with corrected versions of the vorticity-flux (slug-flow) model proposed by Didden and Pullin. The DPIV and LDA data show excellent agreement regarding local velocities and vortex-ring circulations. The DPIV data depict the distribution of the vorticity and circulation in the core regions, where the resulting vorticity distributions are found to be self-similar Gaussian profiles. The propagation velocity of the vortex rings is well approximated by an analytical model of Saffman for large core sizes. In the asymptotic limit t → ∞, the trajectories are in excellent agreement with the exact Stokes-dipole solution of Cantwell and Rott.


Vorticity Vortex Ring Laser Doppler Anemometry Digital Particle Image Velocimetry Vorticity Distribution 
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Copyright information

© Springer-Verlag 1997

Authors and Affiliations

  • A. Weigand
    • 1
  • M. Gharib
    • 1
  1. 1.California Institute of TechnologyGraduate Aeronautical LaboratoriesUSA

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