A pinned or free-floating rigid plate on a thin viscous film

Handle URI:
http://hdl.handle.net/10754/597377
Title:
A pinned or free-floating rigid plate on a thin viscous film
Authors:
Trinh, Philippe H.; Wilson, Stephen K.; Stone, Howard A.
Abstract:
© 2014 Cambridge University Press. A pinned or free-floating rigid plate lying on the free surface of a thin film of viscous fluid, which itself lies on top of a horizontal substrate that is moving to the right at a constant speed is considered. The focus of the present work is to describe how the competing effects of the speed of the substrate, surface tension, viscosity, and, in the case of a pinned plate, the prescribed pressure in the reservoir of fluid at its upstream end, determine the possible equilibrium positions of the plate, the free surface, and the flow within the film. The present problems are of interest both in their own right as paradigms for a range of fluid-structure interaction problems in which viscosity and surface tension both play an important role, and as a first step towards the study of elastic effects.
Citation:
Trinh PH, Wilson SK, Stone HA (2014) A pinned or free-floating rigid plate on a thin viscous film. Journal of Fluid Mechanics 760: 407–430. Available: http://dx.doi.org/10.1017/jfm.2014.526.
Publisher:
Cambridge University Press (CUP)
Journal:
Journal of Fluid Mechanics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
11-Nov-2014
DOI:
10.1017/jfm.2014.526
Type:
Article
ISSN:
0022-1120; 1469-7645
Sponsors:
The authors are grateful to Dr P. Howell and Dr D. Vella (University of Oxford) for valuable discussions. This work was begun while SKW was a Visiting Fellow in the Department of Mechanical and Aerospace Engineering at Princeton University, and completed while SKW was a Visiting Fellow and PHT was a Short Term Visitor at the Oxford Centre for Collaborative Applied Mathematics (OCCAM) at the University of Oxford. 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). SKW is presently a Leverhulme Trust Research Fellow (2013-2015) supported by award RF-2013-355. HAS acknowledges partial support from NSF grant CBET 1132835.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorTrinh, Philippe H.en
dc.contributor.authorWilson, Stephen K.en
dc.contributor.authorStone, Howard A.en
dc.date.accessioned2016-02-25T12:31:57Zen
dc.date.available2016-02-25T12:31:57Zen
dc.date.issued2014-11-11en
dc.identifier.citationTrinh PH, Wilson SK, Stone HA (2014) A pinned or free-floating rigid plate on a thin viscous film. Journal of Fluid Mechanics 760: 407–430. Available: http://dx.doi.org/10.1017/jfm.2014.526.en
dc.identifier.issn0022-1120en
dc.identifier.issn1469-7645en
dc.identifier.doi10.1017/jfm.2014.526en
dc.identifier.urihttp://hdl.handle.net/10754/597377en
dc.description.abstract© 2014 Cambridge University Press. A pinned or free-floating rigid plate lying on the free surface of a thin film of viscous fluid, which itself lies on top of a horizontal substrate that is moving to the right at a constant speed is considered. The focus of the present work is to describe how the competing effects of the speed of the substrate, surface tension, viscosity, and, in the case of a pinned plate, the prescribed pressure in the reservoir of fluid at its upstream end, determine the possible equilibrium positions of the plate, the free surface, and the flow within the film. The present problems are of interest both in their own right as paradigms for a range of fluid-structure interaction problems in which viscosity and surface tension both play an important role, and as a first step towards the study of elastic effects.en
dc.description.sponsorshipThe authors are grateful to Dr P. Howell and Dr D. Vella (University of Oxford) for valuable discussions. This work was begun while SKW was a Visiting Fellow in the Department of Mechanical and Aerospace Engineering at Princeton University, and completed while SKW was a Visiting Fellow and PHT was a Short Term Visitor at the Oxford Centre for Collaborative Applied Mathematics (OCCAM) at the University of Oxford. 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). SKW is presently a Leverhulme Trust Research Fellow (2013-2015) supported by award RF-2013-355. HAS acknowledges partial support from NSF grant CBET 1132835.en
dc.publisherCambridge University Press (CUP)en
dc.subjectcapillary flowsen
dc.subjectlubrication theoryen
dc.subjectthin filmsen
dc.titleA pinned or free-floating rigid plate on a thin viscous filmen
dc.typeArticleen
dc.identifier.journalJournal of Fluid Mechanicsen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionUniversity of Strathclyde, Glasgow, United Kingdomen
dc.contributor.institutionPrinceton University, Princeton, United Statesen
kaust.grant.numberKUK-C1-013-04en
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