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

S.K. Wilson

Research output: Contribution to journal › Article

16 Citations (Scopus)

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

Wilson, S.K. / Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. In: Physics of Fluids. 2005 ; Vol. 17, No. 10.
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Wilson, SK 2005, 'Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface' Physics of Fluids, vol. 17, no. 10. https://doi.org/10.1063/1.2100987

Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. / Wilson, S.K.

In: Physics of Fluids, Vol. 17, No. 10, 17.10.2005.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface

AU - Wilson, S.K.

PY - 2005/10/17

Y1 - 2005/10/17

N2 - 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.

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

U2 - 10.1063/1.2100987

DO - 10.1063/1.2100987

M3 - Article

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JO - Physics of Fluids

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Wilson SK. Unidirectional flow of a thin rivulet on a vertical substrate subject to a prescribed uniform shear stress at its free surface. Physics of Fluids. 2005 Oct 17;17(10). https://doi.org/10.1063/1.2100987

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