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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Universiti Kebangsaan Malaysia
2013
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| Online Access: | http://journalarticle.ukm.my/6315/ http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf |
| _version_ | 1848811114380394496 |
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| author | Yazariah M. Yatim, Duffy, Brian R. Wilson, Stephen K. |
| author_facet | Yazariah M. Yatim, Duffy, Brian R. Wilson, Stephen K. |
| author_sort | Yazariah M. Yatim, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T23:41:15Z |
| format | Article |
| id | oai:generic.eprints.org:6315 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T23:41:15Z |
| publishDate | 2013 |
| publisher | Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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/ |
| 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 |
| title | 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_short | 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 |
| url | http://journalarticle.ukm.my/6315/ http://journalarticle.ukm.my/6315/ http://journalarticle.ukm.my/6315/1/13_Yazariah.pdf |