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

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

Research output: Contribution to journalArticle

20 Citations (Scopus)
187 Downloads (Pure)

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 languageEnglish
Pages (from-to)25-61
Number of pages36
JournalQuarterly Journal of Mechanics and Applied Mathematics
Volume61
Issue number1
Publication statusPublished - Feb 2008

Keywords

  • lubrication approximation
  • thin rivulet
  • surface shear stress

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