Vortex Ring Below a Spreading Alcohol Film on Water

We present a study of the novel, surface tension-driven, plumes that form at the periphery of fast-expanding, circular ethanol-water films that emanate from millimeter-sized ethanol-water drops floating at the surface of a deep water layer. Visualizing these plumes that are azimuthally uniformly spaced, using floating particles, we measure their lengths (lp), radial velocities (Up), and mean azimuthal spacings (λp). We show through a model that a balance between the surface tension force across lp and the viscous resistance in an underlying boundary layer results in lp~ (lσμ δbl)0.5, where lσμ is a Marangoni length scale and δbl is theboundary layer thickness. The model also predicts that Up~ (Uσ3/Uν)0.5 where Uσis a velocity scale balancing inertia and surface tension, and Uν=δbl/t is the velocity scale of momentum diffusion. These predictions are shown to be in agreement with our experimentally observed variations of lp and Up. The observed variation of λp, which we show not match the predictions of any of the available instability theories, is shown to scale as λp ~rf Ohd2/3/ξ1/3Χ3, where Ohd is the drop Ohnesorge number, rf the film radius , ξ and Χ the viscosity and the density ratios.

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Marangoni plumes in miscible spreading

Pant

Puthenveettil

Kalpathy

2023

Physics of Fluids

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Marangoni vortex rings in miscible spreading

Pant,

Puthenveettil

2024

Phys. Rev. Fluids

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Vortex Ring Below a Spreading Alcohol Film on Water

Cited by 2 publications

References 6 publications

Marangoni plumes in miscible spreading

Marangoni plumes in miscible spreading

Marangoni vortex rings in miscible spreading

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