Non-axisymmetric rotating-disk flows: nonlinear travelling-wave states

Travelling circular waves in axisymmetric rotating convection

Rayleigh–Bénard convection in a finite rotating cylinder of moderate aspect ratio (radius four times the depth) is investigated numerically for a fluid of Prandtl number equal to 7 (corresponding essentially to water). We consider the effects of rotation from both the Coriolis force and the centrifugal force and find that the centrifugal force plays a significant dynamic role. In this initial s...

MHD simulations of flows around rotating and non-rotating axisymmetric magnetic flux concentrations

We present results on modeling magnetic flux tubes in an unstably stratified medium and the flows around them using 2D axisymmetric magneto-hydrodynamic (MHD) simulations. The study is motivated by the formation of magnetic field concentrations at the solar surface in sunspots and magnetic pores and the large-scale flow patterns associated with them. The simulations provide consistent, self-mai...

Travelling wave convection in a rotating layer

Local Axisymmetric Instability Criterion in the Thin , Rotating , Multicomponent Disk

Purely gravitational perturbations are considered in a thin rotating disk composed of several gas and stellar components. The dispersion relation for the axisymmetric density waves propagating through the disk is found and the criterion for the local axisymmetric stability of the whole system is formulated. In the appropriate limit of two-component gas we confirm the findings of Jog & Solomon (...

Travelling wave states in pipe flow

In this paper, we report numerical calculations of two new travelling wave states with shift and reflect two-fold azimuthal symmetry (S2 symmetry of Wedin and Kerswell (2004)), characterized by a shrinking core towards the pipe center with increasing R. Further, one of these solutions, termed C2, has additional shift and rotate symmetry. We also present arguments to identify all possible scalin...