Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film

Handle URI:
http://hdl.handle.net/10754/600080
Title:
Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film
Authors:
Yatim, Y. M.; Duffy, B. R.; Wilson, S. K.
Abstract:
A novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate when surface-tension effects are negligible is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from the contact lines to its uniform far-field value. The two most practically important cases of purely gravity-driven flow and of purely surface-shear-stress-driven flow are analysed separately. © 2013 AIP Publishing LLC.
Citation:
Yatim YM, Duffy BR, Wilson SK (2013) Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film. Phys Fluids 25: 052103. Available: http://dx.doi.org/10.1063/1.4803906.
Publisher:
AIP Publishing
Journal:
Physics of Fluids
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
2013
DOI:
10.1063/1.4803906
Type:
Article
ISSN:
1070-6631
Sponsors:
The first author (Y.M.Y.) wishes to thank the Ministry of Higher Education, Malaysia and Universiti Sains Malaysia for financial support via an Academic Staff Training Fellowship. Part of this work was undertaken while the third author (S. K. W.) was a Visiting Fellow in the Department of Mechanical and Aerospace Engineering in the School of Engineering and Applied Science at Princeton University, USA, and part of it was undertaken while he was a Visiting Fellow in the Oxford Centre for Collaborative Applied Mathematics (OCCAM), University of Oxford, Mathematical Institute, 24-29 St. Giles', Oxford OX1 3LB. This paper 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.authorYatim, Y. M.en
dc.contributor.authorDuffy, B. R.en
dc.contributor.authorWilson, S. K.en
dc.date.accessioned2016-02-28T06:35:38Zen
dc.date.available2016-02-28T06:35:38Zen
dc.date.issued2013en
dc.identifier.citationYatim YM, Duffy BR, Wilson SK (2013) Travelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid film. Phys Fluids 25: 052103. Available: http://dx.doi.org/10.1063/1.4803906.en
dc.identifier.issn1070-6631en
dc.identifier.doi10.1063/1.4803906en
dc.identifier.urihttp://hdl.handle.net/10754/600080en
dc.description.abstractA novel family of three-dimensional travelling-wave similarity solutions describing a steadily translating slender dry patch in an infinitely wide thin fluid film on an inclined planar substrate when surface-tension effects are negligible is obtained, the flow being driven by gravity and/or a prescribed constant shear stress on the free surface of the film. For both driving mechanisms, the dry patch has a parabolic shape (which may be concave up or concave down the substrate), and the film thickness increases monotonically away from the contact lines to its uniform far-field value. The two most practically important cases of purely gravity-driven flow and of purely surface-shear-stress-driven flow are analysed separately. © 2013 AIP Publishing LLC.en
dc.description.sponsorshipThe first author (Y.M.Y.) wishes to thank the Ministry of Higher Education, Malaysia and Universiti Sains Malaysia for financial support via an Academic Staff Training Fellowship. Part of this work was undertaken while the third author (S. K. W.) was a Visiting Fellow in the Department of Mechanical and Aerospace Engineering in the School of Engineering and Applied Science at Princeton University, USA, and part of it was undertaken while he was a Visiting Fellow in the Oxford Centre for Collaborative Applied Mathematics (OCCAM), University of Oxford, Mathematical Institute, 24-29 St. Giles', Oxford OX1 3LB. This paper 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.publisherAIP Publishingen
dc.titleTravelling-wave similarity solutions for a steadily translating slender dry patch in a thin fluid filmen
dc.typeArticleen
dc.identifier.journalPhysics of Fluidsen
dc.contributor.institutionUniversiti Sains Malaysia, Seri Ampangan, Malaysiaen
dc.contributor.institutionUniversity of Strathclyde, Glasgow, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en
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