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Physics of Fluids
Article
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zbMATH Open
Article . 2012
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Physics of Fluids
Article . 2012 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2011
License: CC BY
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Thin films flowing down inverted substrates: Three-dimensional flow

Thin films flowing down inverted substrates: three-dimensional flow
Authors: Lin, T.-S.; Kondic, L.; Filippov, A.;

Thin films flowing down inverted substrates: Three-dimensional flow

Abstract

We study contact line induced instabilities for a thin film of fluid under destabilizing gravitational force in three-dimensional setting. In the previous work [T.-S. Lin and L. Kondic, Phys. Fluids 22, 052105 (2010)], we considered two-dimensional flow, finding formation of surface waves whose properties within the implemented long-wave model depend on a single parameter, \documentclass[12pt]{minimal}\begin{document}$D=(3Ca)^{1/3}\cot \alpha$\end{document}D=(3Ca)1/3cotα, where Ca is the capillary number and α is the inclination angle. In the present work we consider fully 3D setting and discuss the influence of the additional dimension on stability properties of the flow. In particular, we concentrate on the coupling between the surface instabilities and the transverse (fingering) instabilities of the film front. We furthermore consider these instabilities in the setting where fluid viscosity varies in the transverse direction. It is found that the flow pattern strongly depends on the inclination angle and the viscosity gradient.

Related Organizations
Keywords

Lubrication theory, Fluid Dynamics (physics.flu-dyn), FOS: Physical sciences, Physics - Fluid Dynamics, Thin fluid films

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
50
Top 10%
Top 10%
Top 10%
Green
bronze