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

S.K. Wilson

doi: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

S.K. Wilson

Mathematics And Statistics

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17 Citations (Scopus)

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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 language	English
Journal	Physics of Fluids
Volume	17
Issue number	10
DOIs	https://doi.org/10.1063/1.2100987
Publication status	Published - 17 Oct 2005

Keywords

shear flow
lubrication
flow instability
pattern formation
fluid physics

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10.1063/1.2100987

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KW - flow instability

KW - pattern formation

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