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Dynamics of elastocapillary rise

Published online by Cambridge University Press:  24 May 2011

CAMILLE DUPRAT ,
JEFFREY M. ARISTOFF  and
HOWARD A. STONE
CAMILLE DUPRAT*
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
JEFFREY M. ARISTOFF
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
HOWARD A. STONE
Affiliation:
Department of Mechanical and Aerospace Engineering, Princeton University, Princeton, NJ 08544, USA
*
†Email address for correspondence: cduprat@princeton.edu
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Abstract

We present the results of a combined experimental and theoretical investigation of the surface-tension-driven coalescence of flexible structures. Specifically, we consider the dynamics of the rise of a wetting liquid between flexible sheets that are clamped at their upper ends. As the elasticity of the sheets is progressively increased, we observe a systematic deviation from the classical diffusive-like behaviour: the time to reach equilibrium increases dramatically and the departure from classical rise occurs sooner, trends that we elucidate via scaling analyses. Three distinct temporal regimes are identified and subsequently explored by developing a theoretical model based on lubrication theory and the linear theory of plates. The resulting free-boundary problem is solved numerically and good agreement is obtained with experiments.

JFM classification

Interfacial Flows (free surface): Capillary flows Low-Reynolds-number flows: Lubrication theory Low-Reynolds-number flows: Porous media

Information

Type
Papers
Information
Journal of Fluid Mechanics , Volume 679 , 25 July 2011 , pp. 641 - 654
Copyright
Copyright © Cambridge University Press 2011

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References

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