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Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film

We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the a...

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Main Authors: Yazariah M. Yatim,, Duffy, Brian R., Wilson, Stephen K.
Format: Article
Language:English
Published: Universiti Kebangsaan Malaysia 2013
Online Access:http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf
http://journalarticle.ukm.my/6315/
http://www.ukm.my/jsm/
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spelling my-ukm.journal.63152016-12-14T06:40:49Z http://journalarticle.ukm.my/6315/ Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film Yazariah M. Yatim, Duffy, Brian R. Wilson, Stephen K. We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the absence of the dry patch). We obtain a novel unsteady travelling-wave similarity solution which predicts that the dry patch has a parabolic shape and that the film thickness increases monotonically away from the dry patch. Universiti Kebangsaan Malaysia 2013-07 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf Yazariah M. Yatim, and Duffy, Brian R. and Wilson, Stephen K. (2013) Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film. Sains Malaysiana, 42 (7). pp. 975-980. ISSN 0126-6039 http://www.ukm.my/jsm/
institution Universiti Kebangsaan Malaysia
building Perpustakaan Tun Sri Lanang Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Kebangsaan Malaysia
content_source UKM Journal Article Repository
url_provider http://journalarticle.ukm.my/
language English
description We investigate unsteady flow of a thin film of Newtonian fluid around a symmetric slender dry patch moving with constant velocity on an inclined planar substrate, the flow being driven by a prescribed constant shear stress at the free surface of the film (which would be of uniform thickness in the absence of the dry patch). We obtain a novel unsteady travelling-wave similarity solution which predicts that the dry patch has a parabolic shape and that the film thickness increases monotonically away from the dry patch.
format Article
author Yazariah M. Yatim,
Duffy, Brian R.
Wilson, Stephen K.
spellingShingle Yazariah M. Yatim,
Duffy, Brian R.
Wilson, Stephen K.
Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
author_facet Yazariah M. Yatim,
Duffy, Brian R.
Wilson, Stephen K.
author_sort Yazariah M. Yatim,
title Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
title_short Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
title_full Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
title_fullStr Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
title_full_unstemmed Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
title_sort travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
publisher Universiti Kebangsaan Malaysia
publishDate 2013
url http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf
http://journalarticle.ukm.my/6315/
http://www.ukm.my/jsm/
_version_ 1643736724806828032
score 13.211869

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