Picture of person typing on laptop with programming code visible on the laptop screen

World class computing and information science research at Strathclyde...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including by researchers from the Department of Computer & Information Sciences involved in mathematically structured programming, similarity and metric search, computer security, software systems, combinatronics and digital health.

The Department also includes the iSchool Research Group, which performs leading research into socio-technical phenomena and topics such as information retrieval and information seeking behaviour.

Explore

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

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R. (2008) A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress. Quarterly Journal of Mechanics and Applied Mathematics, 61 (1). pp. 25-61. ISSN 0033-5614

[img]
Preview
PDF (pwpaper_final.pdf)
pwpaper_final.pdf

Download (1MB) | Preview

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.