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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Universiti Kebangsaan Malaysia
2013
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| Online Access: | http://journalarticle.ukm.my/6315/ http://journalarticle.ukm.my/6315/ http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf |
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ukm-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/ |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| 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/ http://journalarticle.ukm.my/6315/ http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf |
| first_indexed |
2023-09-18T19:46:34Z |
| last_indexed |
2023-09-18T19:46:34Z |
| _version_ |
1777405939903627264 |