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Magnetically Induced Rotating Rayleigh-Taylor Instability
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Plateau-Rayleigh instability in a soft viscoelastic material.

S I Tamim1, J B Bostwick1

  • 1Department of Mechanical Engineering, Clemson University, Clemson, SC 29634, USA. jbostwi@clemson.edu.

Soft Matter
|April 21, 2021
PubMed
Summary
This summary is machine-generated.

The Plateau-Rayleigh instability (PRI) in soft cylinders is destabilized by compressibility but stabilized by elasticity. Viscoelasticity affects growth rates and critical wavenumbers but not overall stability.

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Area of Science:

  • Soft matter physics
  • Fluid dynamics
  • Material science

Background:

  • The Plateau-Rayleigh instability (PRI) describes the tendency of liquid cylinders to break into droplets due to surface tension.
  • For soft solids, the instability is influenced by the interplay between elastic forces and capillary forces.

Purpose of the Study:

  • To conduct a dynamic stability analysis of the PRI for soft cylinders and cylindrical cavities.
  • To investigate the effects of viscoelasticity and compressibility on this instability.

Main Methods:

  • A dynamic stability analysis was performed on soft cylinders and cylindrical cavities with power-law viscoelastic rheology.
  • Laplace transforms were used to make governing equations time-independent, and solutions were constructed using displacement potentials.
  • Dispersion relationships were derived, and static stability limits, critical disturbances, and maximum growth rates were computed.

Main Results:

  • Elasticity was found to stabilize the PRI, while compressibility destabilized it.
  • For incompressible materials, viscoelasticity did not alter stability but reduced growth rates and shifted critical wavenumbers.
  • The critical wavenumber's dependence on compressibility was complex for cylinders but predictable for cylindrical cavities.

Conclusions:

  • The study provides a comprehensive dynamic stability analysis for soft viscoelastic cylinders and cavities under the PRI.
  • Compressibility is a key destabilizing factor, while elasticity provides stabilization.
  • The findings offer insights into the behavior of soft materials with surface tension-driven instabilities.