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Marangoni Flow Driven Instabilities and Marginal Regeneration.

Vincent Adriaan Nierstrasz1, Gert Frens

  • 1Laboratory of Physical Chemistry, Delft University of Technology, Julianalaan 136, Delft, 2628 BL, The Netherlands

Journal of Colloid and Interface Science
|February 13, 2001
PubMed
Summary

Surface tension gradients drive mechanical instabilities in thin liquid films, leading to Marangoni flow. A critical Mysels number predicts these instabilities, with a scaling relation observed between instability wavelength and capillary number.

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Area of Science:

  • Fluid dynamics
  • Surface science
  • Instability phenomena

Background:

  • Surface tension gradients along thin film perimeters cause instabilities like fingering, dimpling, and film drainage.
  • These gradients induce Marangoni-type liquid flow, a key factor in fluid behavior.

Purpose of the Study:

  • To define conditions for marginal regeneration onset in thin films.
  • To establish a scaling relation for Marangoni-driven instabilities.

Main Methods:

  • Linear stability analysis was employed.
  • Experimental validation was conducted on various Marangoni-driven instabilities.

Main Results:

  • A critical Mysels number was identified to describe marginal regeneration onset.

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  • A scaling relation, lambda approximately h(Ca)(-1/3), was derived and experimentally verified, linking instability wavelength (lambda) to capillary number (Ca).

    • Conclusions:

    • The Mysels number provides a quantitative measure for Marangoni-driven instability onset.
    • The derived scaling relation demonstrates broad applicability in understanding thin film flow phenomena.