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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Three-dimensional viscous Rayleigh-Taylor instability at the cylindrical interface.

R H Zeng1, J J Tao1, Y B Sun1

  • 1CAPT-HEDPS, SKLTCS, Collaborative Innovation Center of IFSA, Department of Mechanics and Engineering Science, College of Engineering, Peking University, Beijing 100871, China.

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This study reveals that the most unstable Rayleigh-Taylor instability (RTI) mode at a cylindrical interface is 3D for small radii. Mode characteristics evolve with radius, and viscosity

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Area of Science:

  • Fluid Dynamics
  • Instability Phenomena
  • Computational Physics

Background:

  • Rayleigh-Taylor instability (RTI) is crucial in various physical systems.
  • Understanding RTI at cylindrical interfaces is complex due to geometry.
  • Viscous effects significantly influence instability dynamics.

Purpose of the Study:

  • To investigate the rotational component of viscous RTI at cylindrical interfaces.
  • To identify the most unstable modes and their characteristics.
  • To analyze the influence of interface radius and viscosity ratio on RTI.

Main Methods:

  • Numerical simulation of viscous fluid flow.
  • Analysis of disturbance flow fields.
  • Wave number analysis to determine instability modes.

Main Results:

  • The most unstable mode is three-dimensional for small cylindrical radii (R).
  • Increasing R leads to stepwise increases in azimuthal and axial wave numbers.
  • Behavior approaches planar or finite-thickness limits at specific wave-number vector amplitudes.
  • Viscosity ratio has a dual effect, potentially enhancing or suppressing RTI.

Conclusions:

  • Cylindrical viscous RTI exhibits complex 3D behavior dependent on radius.
  • The interplay between wave numbers and interface radius dictates instability.
  • Viscosity ratio presents a tunable parameter influencing RTI outcomes.