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Dynamics of a thin liquid film interacting with an oscillating nano-probe

Ledesma-Alonso, René and Tordjeman, Philippe and Legendre, Dominique Dynamics of a thin liquid film interacting with an oscillating nano-probe. (2014) Soft Matter, 10 (39). 7736-7752. ISSN 1744-683X

(Document in English)

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Official URL: http://dx.doi.org/10.1039/c4sm01152j


The dynamic interaction between a local probe and a viscous liquid film, which provokes the deformation of the latter, has been studied. The pressure difference across the air–liquid interface is calculated with a modified Young–Laplace equation, which takes into account the effects of gravity, surface tension, and liquid film–substrate and probe–liquid attractive interaction potentials. This pressure difference is injected into the lubrication approximation equation, in order to depict the evolution of a viscous thin-film. Additionally, a simple periodic function is added to an average separation distance, in order to define the probe motion. The aforementioned coupled equations, which describe the liquid film dynamics, were analysed and numerically solved. The liquid surface undergoes a periodic motion: the approaching probe provides an input energy to the film, which is stored by the latter by increasing its surface deformation; afterwards, when the probe moves away, an energy dissipation process occurs as the surface attempts to recover its original flat shape. Asymptotic regimes of the film surface oscillation are discerned, for extreme probe oscillation frequencies, and several length, wavenumber and time scales are yielded from our analysis, which is based on the Hankel transform. For a given probe–liquid–substrate system, with well-known physical and geometric parameters, a periodic stationary regime and instantaneous and delayed probe wetting events are discerned from the numerical results, depending on the combination of oscillation parameters. Our results provide an interpretation of the probe–liquid film coupling phenomenon, which occurs whenever an AFM test is performed over a liquid sample.

Item Type:Article
Additional Information:Thanks to Royal Society of Chemistry editor. The definitive version is available at http://pubs.rsc.org/en/Content/ArticleLanding/2014/SM/C4SM01152J#!divAbstract
HAL Id:hal-01105390
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - Toulouse INP (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UT3 (FRANCE)
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Deposited On:15 Jan 2015 16:37

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