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

Wilson, S.K. (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, 17 (10). ISSN 1070-6631 (https://doi.org/10.1063/1.2100987)

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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.

ORCID iDs

Wilson, S.K. ORCID logoORCID: https://orcid.org/0000-0001-7841-9643;