Thermal Vibrational Convection in a Rotating Plane Layer

Generation of a symmetric magnetic field by thermal convection in a plane rotating layer

We investigate numerically magnetic field generation by thermal convection with square periodicity cells in a rotating horizontal layer of electrically-conducting fluid with stress-free electrically perfectly conducting boundaries for Rayleigh numbers in the interval 5100 ≤ R ≤ 5800. Dynamos of three kinds, apparently not encountered before, are presented: 1) Steady and time-periodic regimes, w...

Thermal convection in a rotating layer of a magnetic fluid

Thermal convection in magnetic fluids can be driven by buoyancy or by magnetic forces (due to the thermomagnetic effect). Depending on the direction of the applied temperature gradient, buoyancy effects can be stabilizing (heating from above) or destabilizing (heating from below), whereas the magnetic forces always play a destabilizing role for magnetic fields perpendicular to the interface. We...

Travelling wave convection in a rotating layer

Oscillatory convection in a rotating layer

The stability of travelling and standing rolls in oscillatory rotating convection is considered from the point of view of equivariant bifurcation theory. To study stability with respect to oblique perturbations the problem is formulated on a rotating rhombic lattice. All primary solution branches with maximal isotropy are determined together with their stability properties using a truncation of...

Thermal Convection of Rotating Micropolar Fluid in Hydromagnetics Saturating A Porous Medium

This paper deals with the theoretical investigation of the thermal instability of a thin layer of electrically conducting micropolar rotating fluid, heated from below in the presence of uniform vertical magnetic field in porous medium. A dispersion relation is obtained for a flat fluid layer, contained between two free boundaries using a linear stability analysis theory, and normal mode analysi...