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Faraday Ripples, Parametric Resonance, and the Marangoni Effect.

Rudolf V. Birikh1, Vladimir A. Briskman, Anatoly A. Cherepanov

  • 1Instituto Pluridisciplinar, Universidad Complutense, Paseo Juan XIII, n.1, Madrid, 28.040, Spain

Journal of Colloid and Interface Science
|May 15, 2001
PubMed
Summary

Two destabilizing mechanisms, parametric excitation and thermal gradients, interact subtly to cause interfacial instability and surface waves. Vibration amplitude affects ripple formation, while Marangoni overstability thresholds remain independent of vibration parameters.

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Area of Science:

  • Fluid dynamics
  • Non-equilibrium thermodynamics
  • Surface physics

Background:

  • Combined effects of destabilizing mechanisms are complex and non-additive.
  • Interfacial instability can arise from simultaneous thermal gradients and vibrations.
  • The Marangoni effect describes surface tension gradients driven by temperature differences.

Purpose of the Study:

  • Investigate the interplay between parametric excitation (vibrations) and thermal gradients (Marangoni effect) on liquid layer stability.
  • Analyze the generation of interfacial instability, overstability, and surface waves.
  • Examine stability in a liquid layer with an open free surface under transverse temperature gradients and normal vibrations.

Main Methods:

  • Weak viscosity approximation applied.

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  • Multiscale method used for stability analysis.
  • Analysis of a liquid layer with an open free surface.

    • Main Results:

    • Vibrations excite ripples with half the vibration frequency, whose amplitude depends on the Marangoni number.
    • Critical ripple amplitude decreases with increasing Marangoni number initially, then increases with thermal gradient.
    • Marangoni overstability threshold is independent of vibration frequency and amplitude.

    Conclusions:

    • A subtle interplay, not simple addition, governs the combined effects of parametric excitation and thermal gradients.
    • The study reveals conditions for interfacial instability, overstability, and surface wave generation.
    • Findings highlight the complex relationship between vibration parameters, thermal gradients, and fluid interfacial dynamics.