We present an experimental study of 'polygons' forming on the free surface of a swirling
water flow in a partially filled cylindrical container. In our set-up, we rotate the bottom plate …

Irrotational flow of a spherical thin liquid layer surrounding a rigid core is described using the
defocusing nonlinear Schrödinger equation. Accordingly, azimuthal moving nonlinear …

The free surface flow in a cylindrical tank over a rotating bottom is known to support
spectacular three-dimensional patterns, including deformation of the inner free surface into …

The origins of the words 'boundary','bound', and 'frontier'can be traced to two different
etymologies. The oldest comes from expressing the repetition of a loud noise, reverberated …

Stable rotating polygonal hollow patterns were predicted theoretically and measured for
Leidenfrost drops confined by circular boundary. Liquid free surface modes occur with …

We investigate experimentally the transitions between systems of two and three satellite
vortices found within a shallow layer of water above a rotating disk at the bottom of an open …

The present paper provides a physically sound numerical modeling of liquid flows
experimentally observed inside a vertical circular cylinder with a stationary envelope …

The question of how viscosity influences the development of instabilities within a rotating
shallow layer of liquid, which gives rise to polygonal patterns, has been investigated …

We present an explicit analysis of wave-resonant instability of swirling flows inside fast
rotating cylindrical containers. The linear dynamics are decomposed into the interaction …

This paper deals with the polygonal patterns observed within the hollow core vortex
generated in viscous fluid by a rotating disc at the bottom of a cylindrical container. The role …