A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress

Tools

Sullivan, J.M. and Wilson, S.K. and Duffy, B.R. (2008) A thin rivulet of perfectly wetting fluid subject to a longitudinal surface shear stress. Quarterly Journal of Mechanics and Applied Mathematics, 61 (1). pp. 25-61. ISSN 0033-5614 (https://doi.org/10.1093/qjmam/hbm023)

[thumbnail of Sullivan-etal-QJMAM2008-A-thin-rivulet-perfectly-wetting-fluid-subject-longitudinal-surface-shear-stress]
Preview
 Text. Filename: Sullivan_etal_QJMAM2008_A_thin_rivulet_perfectly_wetting_fluid_subject_longitudinal_surface_shear_stress.pdf
Accepted Author Manuscript
Download (1MB)| Preview

Abstract

The lubrication approximation is used to obtain a complete description of the steady unidirectional flow of a thin rivulet of perfectly wetting fluid on an inclined substrate subject to a prescribed uniform longitudinal surface shear stress. The quasi-steady stability of such a rivulet is analysed, and the conditions under which it is energetically favourable for such a rivulet to split into one or more subrivulets are determined.

ORCID iDs

Sullivan, J.M., Wilson, S.K. ORCID logoORCID: https://orcid.org/0000-0001-7841-9643 and Duffy, B.R. ORCID logoORCID: https://orcid.org/0000-0003-2687-7938;
CORE (COnnecting REpositories)