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A mathematical model for the quasi-steady diffusion-limited evaporation of a thin axisymmetric sessile droplet of liquid with a pinned contact line is formulated and solved. The model generalises theâ€¦ (More)

- C. H. Tougher, S. K. Wilson, B. R. Duffy
- Appl. Math. Lett.
- 2009

The approach to the critical solution in leading order coating and rimming flow of a thin fluid film on a uniformly rotating horizontal cylinder is investigated. In particular, it is shown that theâ€¦ (More)

Abstract A comprehensive description is obtained of the two-dimensional steady gravity-driven flow with prescribed volume flux of a thin film of Newtonian fluid with temperature-dependent viscosityâ€¦ (More)

- S. K. Wilson, B. R. Duffy
- 2013

We use the lubrication approximation to investigate the unsteady gravity-driven draining of a thin rivulet of Newtonian fluid with temperature-dependent viscosity down a substrate that is eitherâ€¦ (More)

- B. R. Duffy, S. K. Wilson
- 2009

Using the lubrication approximation we investigate two-dimensional steady flow of a thin film of fluid with temperature-dependent viscosity on a uniformly heated or cooled horizontal cylinder, whichâ€¦ (More)

Abstract A mathematical model for the quasi-steady evaporation of a thin liquid droplet on a thin substrate that incorporates the dependence of the saturation concentration of vapour at the freeâ€¦ (More)

- Justin J A Conn, B. R. Duffy, David Pritchard, S. K. Wilson, Peter James Halling, Khellil Sefiane
- Physical review. E
- 2016

We construct a fluid-dynamical model for the flow of a solution with a free surface at which surface tension acts. This model can describe both classical surfactants, which decrease the surfaceâ€¦ (More)

A comprehensive description is obtained of steady thermoviscous (i.e. with temperature-dependent viscosity) coating and rimming flow on a uniformly rotating horizontal cylinder which is uniformlyâ€¦ (More)

We consider a variant of the classical â€˜Rayleigh problemâ€™ (â€˜Stokesâ€™s first problemâ€™) in which a semi-infinite region of initially quiescent fluid is mobilised by a shear stress applied suddenly toâ€¦ (More)

The study of flow in open helically-wound channels has application to many natural and industrial flows, including those in static spiral separators. The flow consists of a primary axial componentâ€¦ (More)