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Stationary Solutal Marangoni Instability in a Two-Layer System

Slavtchev1, Hennenberg, Legros

  • 1Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bontchev St., Block 4, Sofia, 1113, Bulgaria

Journal of Colloid and Interface Science
|December 16, 1998
PubMed
Summary

This study investigates Marangoni instability in two-layer fluid systems, examining how mass transfer mechanisms like diffusion and adsorption influence instability onset. Findings reveal how diffusivity and layer width ratios impact system stability.

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Area of Science:

  • Fluid Dynamics
  • Chemical Engineering
  • Interface Science

Background:

  • Marangoni instability arises from interfacial tension gradients.
  • Mass transfer across fluid interfaces is crucial in many chemical processes.
  • Understanding instability mechanisms in finite systems is essential for process design.

Purpose of the Study:

  • To analyze the impact of various mass transfer mechanisms on Marangoni instability.
  • To investigate the role of bulk diffusion and adsorption-desorption kinetics.
  • To determine the influence of system geometry (finite width) on instability.

Main Methods:

  • Linear stability analysis was employed.
  • The eigenvalue problem was solved analytically.
  • The onset of monotonic instability was determined.

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Main Results:

  • Different mass transfer mechanisms (bulk diffusion, adsorption-desorption) significantly affect Marangoni instability.
  • The diffusivity ratio between fluid phases influences the instability.
  • The layer width ratio is a critical parameter for system stability.

Conclusions:

  • The study provides analytical solutions for Marangoni instability under different mass transfer conditions.
  • Results highlight the importance of considering both diffusion and adsorption kinetics.
  • Finite width effects and parameter ratios are key factors in predicting system behavior.