We study the thermocapillary migration of two-dimensional droplets of partially wetting
liquids on a non-uniform heated substrate. An equation for the thickness profile of the droplet …

A numerical study is presented to examine the fingering instability of a gravity-driven thin
liquid film flowing down the outer wall of a vertical cylinder. The lubrication approximation is …

As in most interfacial flow problems, the standard theoretical procedure to establish
wavelength selection in the viscous fingering instability is to maximize the linear growth rate …

We study the thermocapillary migration of two-dimensional droplets of partially wetting
liquids on a non-uniformly heated surface. The effect of a non-zero contact angle is imposed …

We study the contact line dynamics of a viscous droplet deposited at the centre of a
substrate subject to an axial thermal gradient. The temperature of the substrate decreases …

Gravity-driven thin film flow is of importance in many fields, as well as for the design of
polymeric drug delivery vehicles, such as anti-HIV topical microbicides. There have been …

We explore flow of a completely wetting fluid in a funnel, with particular focus on contact line
instabilities at the fluid front. While the flow in a funnel may be related to a number of other …

We present a new analytical solution for the static shape of a two-dimensional droplet in
equilibrium with a surrounding thin film on a solid substrate. The modeling includes the …

We study the linear stability of a droplet placed at the center of a horizontal disk under the
effect of surface stress promoted by an axisymmetric thermal gradient. Since the fluid volume …

We consider the interfacial dynamics of a thin, ferrofluid film flowing down an inclined
substrate, under the action of a magnetic field, bounded above by an inviscid gas. The fluid …