Handle URI:
http://hdl.handle.net/10754/598910
Title:
Multiple equilibria in a simple elastocapillary system
Authors:
Taroni, Michele; Vella, Dominic
Abstract:
We consider the elastocapillary interaction of a liquid drop placed between two elastic beams, which are both clamped at one end to a rigid substrate. This is a simple model system relevant to the problem of surface-tension-induced collapse of flexible micro-channels that has been observed in the manufacture of microelectromechanical systems (MEMS). We determine the conditions under which the beams remain separated, touch at a point, or stick along a portion of their length. Surprisingly, we show that in many circumstances multiple equilibrium states are possible. We develop a lubrication-type model for the flow of liquid out of equilibrium and thereby investigate the stability of the multiple equilibria. We demonstrate that for given material properties two stable equilibria may exist, and show via numerical solutions of the dynamic model that it is the initial state of the system that determines which stable equilibrium is ultimately reached. © 2012 Cambridge University Press.
Citation:
Taroni M, Vella D (2012) Multiple equilibria in a simple elastocapillary system. Journal of Fluid Mechanics 712: 273–294. Available: http://dx.doi.org/10.1017/jfm.2012.418.
Publisher:
Cambridge University Press (CUP)
Journal:
Journal of Fluid Mechanics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
28-Sep-2012
DOI:
10.1017/jfm.2012.418
Type:
Article
ISSN:
0022-1120; 1469-7645
Sponsors:
This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We also thank M. Mihelich for his contribution to the early stages of this work as a summer student supported by an Oppenheimer Early Career Fellowship (D.V.), and K. Singh for comments on an earlier draft. Finally, we thank O. E. Jensen for pointing out a discrepancy in earlier versions of our energy calculation.
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Full metadata record

DC FieldValue Language
dc.contributor.authorTaroni, Micheleen
dc.contributor.authorVella, Dominicen
dc.date.accessioned2016-02-25T13:43:32Zen
dc.date.available2016-02-25T13:43:32Zen
dc.date.issued2012-09-28en
dc.identifier.citationTaroni M, Vella D (2012) Multiple equilibria in a simple elastocapillary system. Journal of Fluid Mechanics 712: 273–294. Available: http://dx.doi.org/10.1017/jfm.2012.418.en
dc.identifier.issn0022-1120en
dc.identifier.issn1469-7645en
dc.identifier.doi10.1017/jfm.2012.418en
dc.identifier.urihttp://hdl.handle.net/10754/598910en
dc.description.abstractWe consider the elastocapillary interaction of a liquid drop placed between two elastic beams, which are both clamped at one end to a rigid substrate. This is a simple model system relevant to the problem of surface-tension-induced collapse of flexible micro-channels that has been observed in the manufacture of microelectromechanical systems (MEMS). We determine the conditions under which the beams remain separated, touch at a point, or stick along a portion of their length. Surprisingly, we show that in many circumstances multiple equilibrium states are possible. We develop a lubrication-type model for the flow of liquid out of equilibrium and thereby investigate the stability of the multiple equilibria. We demonstrate that for given material properties two stable equilibria may exist, and show via numerical solutions of the dynamic model that it is the initial state of the system that determines which stable equilibrium is ultimately reached. © 2012 Cambridge University Press.en
dc.description.sponsorshipThis publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We also thank M. Mihelich for his contribution to the early stages of this work as a summer student supported by an Oppenheimer Early Career Fellowship (D.V.), and K. Singh for comments on an earlier draft. Finally, we thank O. E. Jensen for pointing out a discrepancy in earlier versions of our energy calculation.en
dc.publisherCambridge University Press (CUP)en
dc.subjectcapillary flowsen
dc.subjectlubrication theoryen
dc.subjectMEMS/NEMSen
dc.titleMultiple equilibria in a simple elastocapillary systemen
dc.typeArticleen
dc.identifier.journalJournal of Fluid Mechanicsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Cambridge, Cambridge, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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