We consider the static and dynamic behaviour of two-dimensional droplets on inclined
heterogeneous substrates. We utilize an evolution equation for the droplet thickness based …

A static rivulet is subject to disturbances in shape, velocity and pressure fields. Disturbances
to interfacial shape accommodate a contact line that is either (i) fixed (pinned) or (ii) fully …

We have numerically investigated the breakup of a rivulet falling over a smooth inclined
plate using the volume of fluid method. Rivulet breakup is a complex phenomenon dictated …

This article presents the results of numerical simulations of three-dimensional waves on the
surface of a rivulet flowing down a vertical plate. The Kapitza–Shkadov approach is used to …

The flow of a slowly varying rivulet of a power-law fluid with prescribed constant width (ie
with pinned contact lines) but slowly varying contact angle down a slowly varying substrate …

We study the stability of a viscous incompressible fluid ring on a partially wetting substrate
within the framework of long-wave theory. We discuss the conditions under which a static …

We report direct numerical simulations of liquid filaments breaking up into droplets on
partially wetting substrates. It is motivated by recent experiments, linear stability analyses …

Steady unidirectional gravity-driven flow of a uniform thin rivulet (ie, a rivulet with small
transverse aspect ratio) of a generalized Newtonian fluid down a vertical planar substrate is …

Liquid metal wires supported on substrates destabilize into droplets. The destabilization
exhibits many characteristics of the Rayleigh–Plateau model of fluid jet breakup in vacuum …

We study the hydrodynamic mechanisms involved in the motion of the contact line formed at
the end region of a liquid filament laying on a planar and horizontal substrate. Since the flow …