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Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

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Published on: March 3, 2017

Rayleigh-Taylor stability boundary at solid-liquid interfaces.

A R Piriz1, Y B Sun, N A Tahir

  • 1E.T.S.I. Industriales, Instituto de Investigaciones Energéticas and CYTEMA, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|September 17, 2013
PubMed
Summary
This summary is machine-generated.

This study extends a model of Rayleigh-Taylor instability to analyze the interface between elastic-plastic solids and liquids. Increased liquid viscosity enhances stability, with plastic flow onset becoming a sufficient condition for instability at high viscosities.

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Area of Science:

  • Physics
  • Fluid Dynamics
  • Materials Science

Background:

  • The Rayleigh-Taylor instability is a critical phenomenon at fluid interfaces.
  • Previous models focused on simpler fluid interfaces, necessitating extension for complex material interactions.

Purpose of the Study:

  • To extend the Rayleigh-Taylor instability model for an elastic-plastic solid-Newtonian liquid interface.
  • To determine the stability region based on initial perturbation amplitude and wavelength.
  • To investigate the influence of liquid viscosity on interface stability.

Main Methods:

  • Extension of a prior Rayleigh-Taylor instability model.
  • Analysis of the interface between an elastic-plastic solid and a Newtonian liquid.
  • Determination of the stability region parameters: initial perturbation amplitude and wavelength.

Main Results:

  • The stability region is enhanced by increasing liquid viscosity.
  • An asymptotic limit for the stability region is reached at high liquid viscosities.
  • The elastic-plastic transition boundary converges with the stability boundary at high viscosities.

Conclusions:

  • Liquid viscosity significantly impacts the stability of elastic-plastic solid-Newtonian liquid interfaces.
  • High liquid viscosity makes the onset of plastic flow a sufficient condition for instability.
  • The study provides a comprehensive understanding of interface dynamics under varying material properties and perturbation conditions.