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

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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.
Original languageEnglish
JournalPhysics of Fluids
Volume17
Issue number10
DOIs
Publication statusPublished - 17 Oct 2005

Keywords

  • shear flow
  • lubrication
  • flow instability
  • pattern formation
  • fluid physics

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