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Hydrodynamic interactions for the measurement of thin film elastic properties

Published online by Cambridge University Press:  17 March 2011

S. LEROY  and
E. CHARLAIX
S. LEROY
Affiliation:
Laboratoire PMCN, Université de Lyon, CNRS UMR 5586, F-69622 Villeurbanne, France
E. CHARLAIX*
Affiliation:
Laboratoire PMCN, Université de Lyon, CNRS UMR 5586, F-69622 Villeurbanne, France
*
†Email address for correspondence: [email protected]
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Abstract

We study the elasto-hydrodynamic (EHD) interaction of a sphere with a flat elastic surface in the prospect of measuring the elastic moduli of soft supported thin films, with non-contact dynamic surface forces or atomic force microscopy measurements. When the sphere is oscillated at a very small amplitude close to the surface, the linear force response undergoes a dynamic transition from a viscous-dominated behaviour at large distance to an elastic-dominated behaviour at short distance. In the limit of very thin or very thick supported layers, we show that the force response obeys simple scaling laws which allow to unambiguously determine the absolute elastic modulus of the layer. In the general case, we establish the very rich phase diagram of the EHD interaction and discuss its application for optimizing experimental parameters.

JFM classification

Low-Reynolds-number flows: Lubrication theory Micro-/Nano-fluid dynamics: MEMS/NEMS Interfacial Flows (free surface): Thin films
Type
Papers
Information
Journal of Fluid Mechanics , Volume 674 , 10 May 2011 , pp. 389 - 407
Copyright
Copyright © Cambridge University Press 2011

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References

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