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Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface

Wilson, S.K. (2005) Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. Physics of Fluids, 17 (10). ISSN 1070-6631

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Abstract

We use the lubrication approximation to analyze the steady unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform longitudinal shear stress at its free surface. In particular, we determine the quasisteady stability of a rivulet of prescribed flux, and calculate when it is energetically favorable for a rivulet to split into two narrower rivulets.

Item type: Article
ID code: 2266
Keywords: shear flow, lubrication, flow instability, pattern formation, fluid physics, Mathematics, Physics
Subjects: Science > Mathematics
Science > Physics
Department: Faculty of Science > Mathematics and Statistics
Depositing user: Strathprints Administrator
Date Deposited: 15 Nov 2006
Last modified: 21 May 2015 09:05
URI: http://strathprints.strath.ac.uk/id/eprint/2266

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