Marangoni effect on small-amplitude capillary waves in viscous fluids.
basic_science · Level V
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- Record sourced from PubMed, PMID 29347646.
- Also identified by DOI 10.1103/PhysRevE.96.053110.
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Abstract
We derive a general integro-differential equation for the transient behavior of small-amplitude capillary waves on the planar surface of a viscous fluid in the presence of the Marangoni effect. The equation is solved for an insoluble surfactant solution in concentration below the critical micelle concentration undergoing convective-diffusive surface transport. The special case of a diffusion-driven surfactant is considered near the the critical damping wavelength. The Marangoni effect is shown to contribute to the overall damping mechanism, and a first-order term correction to the critical wavelength with respect to the surfactant concentration difference and the Schmidt number is proposed.