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

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

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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.

Item Type:Article
Keywords:Dry patch; similarity solution; thin-film flow; travelling-wave
Journal:Sains Malaysiana
ID Code:6315
Deposited By: ms aida -
Deposited On:17 Jun 2013 07:31
Last Modified:14 Dec 2016 06:40

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