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Instabilities of interacting vortex rings generated by an oscillating disk.

Jian Deng1, Lubao Teng1, C P Caulfield2

  • 1State Key Laboratory of Fluid Power & Mechatronic Systems, Zhejiang University, Hangzhou 310027, People's Republic of China; Key Laboratory of Soft Machines and Smart Devices of Zhejiang Province, Zhejiang University, Hangzhou 310027, People's Republic of China; and Department of Mechanics, Zhejiang University, Hangzhou 310027, People's Republic of China.

Physical Review. E
|October 15, 2016
PubMed
Summary

We studied vortex ring instability from oscillating disks. Stronger interactions lead to high wave-number symmetry breaking, while weaker interactions favor single unstable modes.

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Area of Science:

  • Fluid dynamics
  • Instability phenomena

Background:

  • Vortex rings are fundamental structures in fluid dynamics.
  • Understanding their instability is crucial for predicting complex flow behaviors.

Purpose of the Study:

  • To investigate the instability of interacting vortex rings shed from an oscillating oblate spheroid disk.
  • To characterize instability modes based on azimuthal wave number (m).

Main Methods:

  • Floquet stability analysis was performed.
  • Key parameters varied: Keulegan-Carpenter number (K_C) and Stokes number (β).
  • Direct numerical simulations validated analytical predictions.

Main Results:

  • Two distinct flow regimes were observed based on β.
  • Low β (weak ring interaction) resulted in direct symmetry breaking to m=1.
  • High β (strong ring interaction) showed onset of asymmetry via high m instabilities, with m=1 dominant at large K_C.

Conclusions:

  • The study identifies distinct instability pathways for vortex rings based on oscillation parameters.
  • High wave-number symmetry breaking is a generic outcome of strong sequential vortex ring interaction.