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Dynamics of driven three-dimensional thin films: From hydrophilic to superhydrophobic regimes

Abstract:
We study the forced displacement of a thin film of fluid in contact with vertical and inclined substrates of different wetting properties, that range from hydrophilic to hydrophobic, using the lattice-Boltzmann method. We study the stability and pattern formation of the contact line in the hydrophilic and superhydrophobic regimes, which correspond to wedge-shaped and nose-shaped fronts, respectively. We find that contact lines are considerably more stable for hydrophilic substrates and small inclination angles. The qualitative behavior of the front in the linear regime remains independent of the wetting properties of the substrate as a single dispersion relation describes the stability of both wedges and noses. Nonlinear patterns show a clear dependence on wetting properties and substrate inclination angle. The effect is quantified in terms of the pattern growth rate, which vanishes for the sawtooth pattern and is finite for the finger pattern. Sawtooth shaped patterns are observed for hydrophilic substrates and low inclination angles, while finger-shaped patterns arise for hydrophobic substrates and large inclination angles. Finger dynamics show a transient in which neighboring fingers interact, followed by a steady state where each finger grows independently. © 2008 American Institute of Physics.
Publication status:
Published

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Publisher copy:
10.1063/1.2940726

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Journal:
PHYSICS OF FLUIDS More from this journal
Volume:
20
Issue:
7
Pages:
072101-072101
Publication date:
2008-07-01
DOI:
ISSN:
1070-6631


Language:
English
Pubs id:
pubs:176535
UUID:
uuid:002191e2-bd50-4dc6-a8c5-61526b87af53
Local pid:
pubs:176535
Source identifiers:
176535
Deposit date:
2012-12-19
ARK identifier:

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