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Related Experiment Videos

Vibration-induced interfacial instabilities in viscoelastic fluids.

Satish Kumar1

  • 1Department of Chemical Engineering and Materials Science, University of Minnesota, 151 Amundson Hall, 421 Washington Avenue SE, Minneapolis, Minnesota 55455, USA.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 28, 2002
PubMed
Summary

Vertically vibrated interfaces of viscoelastic fluids can become unstable, forming standing waves. This study analyzes the critical conditions for wave excitation, finding viscoelasticity can lower the threshold and enable Stoneley-like waves.

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Area of Science:

  • Fluid Dynamics
  • Rheology
  • Wave Phenomena

Background:

  • Vertically vibrated interfaces between fluids are relevant in ultrasonic emulsification, microgravity processing, and geophysics.
  • Sufficient vibration amplitude can destabilize the interface, leading to standing wave formation.

Purpose of the Study:

  • To perform a linear analysis of standing wave excitation at vertically vibrated interfaces involving viscoelastic fluids.
  • To determine the critical vibration amplitude and wave number for instability onset.
  • To investigate the influence of viscoelasticity on interfacial wave behavior.

Main Methods:

  • Linear stability analysis using Floquet theory for laterally unbound fluids.
  • Development of a recursion relation between temporal modes of interfacial deformation.

Related Experiment Videos

  • Matrix eigenvalue problem formulation to find critical parameters.
  • Modeling viscoelasticity with a single-mode Maxwell model for infinite fluid depths.

    • Main Results:

    • Calculations were performed for three configurations: viscoelastic/Newtonian, Newtonian/viscoelastic, and viscoelastic/viscoelastic fluid pairs.
    • When one fluid is viscoelastic, interfacial waves can exhibit harmonic response and be excited more readily than with two Newtonian fluids.
    • The presence of viscoelasticity in both fluids suggests the possibility of exciting Stoneley-like waves.

    Conclusions:

    • Viscoelasticity significantly influences the stability of vibrated fluid interfaces.
    • The critical conditions for standing wave formation are modified by the fluids' viscoelastic properties.
    • This research provides insights into wave excitation mechanisms relevant to various scientific and industrial applications.