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

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steady flow
lubrication
shear stress
approximation

Keywords

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

Cite this

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title = "Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface",
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.",
keywords = "shear flow, lubrication, flow instability, pattern formation, fluid physics",
author = "S.K. Wilson",
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AB - 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.

KW - shear flow

KW - lubrication

KW - flow instability

KW - pattern formation

KW - fluid physics

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JO - Physics of Fluids

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SN - 1070-6631

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