Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film
Yatim, Y.M. and Duffy, B.R. and Wilson, Stephen (2013) Travelling-wave similarity solutions for an unsteady shear-stress-driven dry patch in a flowing film. Sains Malaysina, 42 (7). pp. 975-980. ISSN 0126-6039
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Abstract
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.
Creators(s): |
Yatim, Y.M., Duffy, B.R. ![]() ![]() | Item type: | Article |
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ID code: | 42728 |
Notes: | updated |
Keywords: | thin-film flow, travelling-wave, similarity solutions, dry patch, Mathematics, General |
Subjects: | Science > Mathematics |
Department: | Faculty of Science > Mathematics and Statistics |
Depositing user: | Pure Administrator |
Date deposited: | 04 Feb 2013 16:42 |
Last modified: | 01 Mar 2021 01:18 |
URI: | https://strathprints.strath.ac.uk/id/eprint/42728 |
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