In this paper, we address the linear stability analysis of a confined potential vortex with a free
surface. This particular flow has been recently used by Tophøj et al.(Phys. Rev. Lett., vol …

The differentially heated rotating annulus is a laboratory experiment historically designed for
modelling large-scale features of the mid-latitude atmosphere. In the present study, we …

We consider the propagation of linear gravity waves on the free surface of steady,
axisymmetric flows with purely azimuthal velocity. We propose a two-dimensional set of …

The motion of a container filled with fluid perturbs the free surface and may result in spilling.
In practice, most of the energy is localized in the modes of lowest frequencies (the gravest …

Motivated by the observation of surface waves rotating around the cores of vortices
generated in a swimming pool, in this work we have studied the response of various free …

The Newtons rotating bucket with gravitational events occurring in that bucket is a starting
point for any new model describing gravitational situations and serves as a “filter” for any …

This numerical study reveals stable multi-eddy patterns of a steady axisymmetric air–water
flow driven by the rotating bottom disk in a vertical sealed cylindrical container. As rotation …

Trapped surface waves have been observed in a swimming pool trapped by, and rotating
around, the cores of vortices. To investigate this effect, we have numerically studied the free …

Axisymmetric flow in a cylindrical tank over a rotating bottom is investigated and its
approximate solution with an analytic expression is obtained. The interior region, comprising …

Our study focuses on the first instability that appears in a flow generated by a rotating disc
placed at the bottom of a fixed cylindrical cavity, with a flat liquid-gas interface. Owing to the …