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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Instability of a rotating liquid ring.

Sicheng Zhao1, Jianjun Tao

  • 1CAPT, HEDPS, SKLTCS, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing, China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 16, 2013
PubMed
Summary
This summary is machine-generated.

A rotating liquid ring exhibits oscillations due to competing forces. Instability analysis shows that changes in ring size and rotation lead to complex surface dynamics and shape modulation.

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Area of Science:

  • Fluid dynamics
  • Nonlinear dynamics
  • Surface tension phenomena

Background:

  • Understanding the behavior of rotating liquid structures is crucial in various scientific and engineering fields.
  • Liquid rings are fundamental models for studying fluid behavior under rotational and surface tension effects.

Purpose of the Study:

  • To numerically investigate the temporal oscillations and stability of a rotating inviscid liquid ring.
  • To analyze the influence of centrifugal force, surface tension, and rotation on the ring's dynamics and shape.

Main Methods:

  • Numerical simulations were employed to model the rotating liquid ring.
  • Stability analysis was performed to identify unstable modes and their characteristics.
  • The interplay between radial velocity, radius ratio, and surface tension was examined.

Main Results:

  • A rotating inviscid liquid ring demonstrates a temporally oscillating state where its radius varies periodically.
  • The ring's stability is compromised by varicose-type modes, influenced by radial velocity and the ratio of cross-section to ring radius.
  • Uniform rotation introduces a traveling unstable mode, with its frequency linked to a sinuous mode and surface shape modulated by varicose modes and Coriolis forces.

Conclusions:

  • The study reveals a complex interplay between centrifugal force, surface tension, and rotation in shaping liquid ring dynamics.
  • Instabilities in rotating liquid rings are characterized by varicose and sinuous modes, leading to temporal oscillations and shape modulations.
  • Numerical findings provide insights into the stability and dynamic behavior of rotating fluid structures.