Onset of centrifugal instability at a rotating cylinder in a stratified fluid

Centrifugal Instability over a Rotating Cone

In this study, we provide a mathematical description of the onset of counter-rotating circular vortices observed for a family of slender rotating cones (of half-angles 15◦, 30◦ and 45◦) in quiescent fluid. In particular, we apply appropriate scalings and apply a change of coordinates, accounting for the effects of streamline curvature. A combined large Reynolds number and large vortex wavenumbe...

Dynamics of a tilted cylinder wake in a stratified fluid

Despite the large amount of research devoted to bluff body wakes [1], very few studies have focused on stratified wakes despite their obvious applications to geophysical flows. Moreover, most of these studies have studied the turbulent regime in the wake of a sphere or an ellipsoid [2,3], due to its naval applications for submarine wakes. These bluff bodies have a finite height, which leads to ...

Onset of convection in a moderate aspect-ratio rotating cylinder: Eckhaus–Benjamin–Feir instability

A numerical study of the onset of thermal convection in a rotating circular cylinder of radius-to-depth ratio equal to four is considered in a regime dominated by the Coriolis force where the onset is to so-called wall modes. The wall modes consist of hot and cold pairs of thermal plumes rising and descending in the cylinder wall boundary layer, forming an essentially one-dimensional pattern ch...

Centrifugal instability over a rotating cone in axial flow

In this study, a new centrifugal instability mode, which dominates within the boundary-layer flow over a slender rotating cone in still fluid, is used for the first time to model the problem within an enforced oncoming axial flow. The resulting problem necessitates an updated similarity solution to represent the basic flow more accurately than previous studies in the literature. The new mean fl...

Onset of Turbulence in a Rotating Fluid