Faraday instability of a two-layer liquid film with a free upper surface

  • We study the linear stability of a laterally extended flat two-layer liquid film under the influence of external vertical vibration. The first liquid layer rests on a vibrating solid plate and is overlaid by a second layer of immiscible fluid with deformable upper surface. Surface waves, excited as the result of the Faraday instability, can be characterized by a time-dependent relative amplitude of the displacements of the liquid-liquid and the liquid-gas interfaces. The in-phase displacements are associated with a zigzag (barotropic) mode and the antiphase displacement corresponds to the varicose thinning mode. We numerically determine the stability threshold in the vibrated two-layer film and compute the dispersion relation together with the decay rates of the surface waves in the absence of vibration. The in-phase and the antiphase displacements are strongly coupled in the vibrated system. The interplay between the Faraday and the Rayleigh-Taylor instabilities in the system with heavier fluid on top of a lighter fluid is analyzed.

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Metadaten
Author: Andrey Pototsky, Michael BestehornGND
URL:http://journals.aps.org/prfluids/abstract/10.1103/PhysRevFluids.1.023901
DOI:https://doi.org/10.1103/PhysRevFluids.1.023901
ISSN:2469-990X
Title of the source (English):Physical Review Fluids
Document Type:Scientific journal article peer-reviewed
Language:English
Year of publication:2016
Volume/Year:1
Issue number:2
First Page:023901-1
Last Page:023901-18
Faculty/Chair:Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Statistische Physik und Nichtlineare Dynamik
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