A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress

J.M. Sullivan; S.K. Wilson; B.R. Duffy

doi:10.1093/qjmam/hbm023

A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress

J.M. Sullivan, S.K. Wilson, B.R. Duffy

Mathematics And Statistics

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Abstract

The lubrication approximation is used to obtain a complete description of the steady unidirectional flow of a thin rivulet of perfectly wetting fluid on an inclined substrate subject to a prescribed uniform longitudinal surface shear stress. The quasi-steady stability of such a rivulet is analysed, and the conditions under which it is energetically favourable for such a rivulet to split into one or more subrivulets are determined.

Original language	English
Pages (from-to)	25-61
Number of pages	36
Journal	Quarterly Journal of Mechanics and Applied Mathematics
Volume	61
Issue number	1
DOIs	https://doi.org/10.1093/qjmam/hbm023
Publication status	Published - 3 Jan 2008

Keywords

lubrication approximation
thin rivulet
surface shear stress

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10.1093/qjmam/hbm023

Sullivan-etal-QJMAM2008-A-thin-rivulet-perfectly-wetting-fluid-subject-longitudinal-surface-shear-stressAccepted author manuscript, 1.27 MB

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AB - The lubrication approximation is used to obtain a complete description of the steady unidirectional flow of a thin rivulet of perfectly wetting fluid on an inclined substrate subject to a prescribed uniform longitudinal surface shear stress. The quasi-steady stability of such a rivulet is analysed, and the conditions under which it is energetically favourable for such a rivulet to split into one or more subrivulets are determined.

KW - lubrication approximation

KW - thin rivulet

KW - surface shear stress

U2 - 10.1093/qjmam/hbm023

DO - 10.1093/qjmam/hbm023

M3 - Article

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JO - Quarterly Journal of Mechanics and Applied Mathematics

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A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress

Abstract

Keywords

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