We consider a nonlinear 4th-order degenerate parabolic partial differential equation that arises in modelling the dynamics of an incompressible thin liquid film on the outer surface of a rotating horizontal cylinder in the presence of gravity. The parameters involved determine a rich variety of qualitatively different flows. We obtain sufficient conditions for finite speed of support propagatio...

We first make a note on the use of infimum instead of minimum in Equation 4 of the paper. This is because BT may only exist in the limit. An example is shown in Figure 1, where M is made up of a horizontal sheet and a vertical, cylindrical sheet close to the horizontal sheet’s boundary. The two sheets meet at a non-manifold seam with a circular shape (dotted curve). The shortest exposing tree a...

Vortex formation from a horizontal cylinder coincident with a free surface of a shallow water flow having a depth of 25.4 mm was experimentally investigated using the particle image velocimetry technique. Instantaneous and time-averaged flow patterns in the wake region of the cylinder were examined for three different cylinder diameter values under the fully developed turbulent boundary layer c...

Internal melt ice-on-coil tank with built-in horizontal tubes is a kind of ice tank used widely. Its discharge process is effected greatly by density different between ice and water. The existing models developed for internal melt ice-on-coil tank are concentric cylinder models which are applicable to tank with built-in vertical tube or to case when all water in tank is frozen, but is not appli...

Water wetting is a crucial issue in carbon dioxide (CO2) corrosion of multiphase flow pipelines made from mild steel. This study demonstrates the use of a novel benchtop apparatus, a horizontal rotating cylinder, to study the effect of water wetting on CO2 corrosion of mild steel in two-phase flow. The setup is similar to a standard rotating cylinder except for its horizontal orientation and th...

We consider upward planar drawings of directed graphs in the plane (UP), and on standing (SUP) and rolling cylinders (RUP). In the plane and on the standing cylinder the edge curves are monotonically increasing in y-direction. On the rolling cylinder they wind unidirectionally around the cylinder. There is a strict hierarchy of classes of upward planar graphs: UP ⊂ SUP ⊂ RUP. In this paper, we ...