Handle URI:
http://hdl.handle.net/10754/599041
Title:
On liquid films on an inclined plate
Authors:
BENILOV, E. S.; CHAPMAN, S. J.; MCLEOD, J. B.; OCKENDON, J. R.; ZUBKOV, V. S.
Abstract:
This paper examines two related problems from liquid-film theory. Firstly, a steady-state flow of a liquid film down a pre-wetted plate is considered, in which there is a precursor film in front of the main film. Assuming the former to be thin, a full asymptotic description of the problem is developed and simple analytical estimates for the extent and depth of the precursor film's influence on the main film are provided. Secondly, the so-called drag-out problem is considered, where an inclined plate is withdrawn from a pool of liquid. Using a combination of numerical and asymptotic means, the parameter range where the classical Landau-Levich-Wilson solution is not unique is determined. © 2010 Cambridge University Press.
Citation:
BENILOV ES, CHAPMAN SJ, MCLEOD JB, OCKENDON JR, ZUBKOV VS (2010) On liquid films on an inclined plate. Journal of Fluid Mechanics 663: 53–69. Available: http://dx.doi.org/10.1017/S002211201000337X.
Publisher:
Cambridge University Press (CUP)
Journal:
Journal of Fluid Mechanics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
18-Aug-2010
DOI:
10.1017/S002211201000337X
Type:
Article
ISSN:
0022-1120; 1469-7645
Sponsors:
One of the authors (E.S.B.) is grateful for the hospitality of the Oxford Centre for Collaborative Applied Mathematics which hosted his sabbatical, and also acknowledges the support of the Science Foundation Ireland (RFP Grant 08/RFP/MTH1476 and Mathematics Initiative Grant 06/MI/005). 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).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorBENILOV, E. S.en
dc.contributor.authorCHAPMAN, S. J.en
dc.contributor.authorMCLEOD, J. B.en
dc.contributor.authorOCKENDON, J. R.en
dc.contributor.authorZUBKOV, V. S.en
dc.date.accessioned2016-02-25T13:51:44Zen
dc.date.available2016-02-25T13:51:44Zen
dc.date.issued2010-08-18en
dc.identifier.citationBENILOV ES, CHAPMAN SJ, MCLEOD JB, OCKENDON JR, ZUBKOV VS (2010) On liquid films on an inclined plate. Journal of Fluid Mechanics 663: 53–69. Available: http://dx.doi.org/10.1017/S002211201000337X.en
dc.identifier.issn0022-1120en
dc.identifier.issn1469-7645en
dc.identifier.doi10.1017/S002211201000337Xen
dc.identifier.urihttp://hdl.handle.net/10754/599041en
dc.description.abstractThis paper examines two related problems from liquid-film theory. Firstly, a steady-state flow of a liquid film down a pre-wetted plate is considered, in which there is a precursor film in front of the main film. Assuming the former to be thin, a full asymptotic description of the problem is developed and simple analytical estimates for the extent and depth of the precursor film's influence on the main film are provided. Secondly, the so-called drag-out problem is considered, where an inclined plate is withdrawn from a pool of liquid. Using a combination of numerical and asymptotic means, the parameter range where the classical Landau-Levich-Wilson solution is not unique is determined. © 2010 Cambridge University Press.en
dc.description.sponsorshipOne of the authors (E.S.B.) is grateful for the hospitality of the Oxford Centre for Collaborative Applied Mathematics which hosted his sabbatical, and also acknowledges the support of the Science Foundation Ireland (RFP Grant 08/RFP/MTH1476 and Mathematics Initiative Grant 06/MI/005). 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).en
dc.publisherCambridge University Press (CUP)en
dc.subjectinterfacial flows (free surface)en
dc.subjectlubrication theoryen
dc.subjectoatingen
dc.titleOn liquid films on an inclined plateen
dc.typeArticleen
dc.identifier.journalJournal of Fluid Mechanicsen
dc.contributor.institutionUniversity of Limerick, Limerick, Irelanden
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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