Helicity sources in a rotating convection

Studies in Rotating Convection

This thesis presents an exploration and analysis of novel phenomena in RayleighBénard convection in a rotating cylinder using direct numerical simulation and equivariant bifurcation analysis. The numerical method used is a second order predictorcorrector method using Chebyshev collocation in the radial and axial directions and a Fourier-Galerkin discretization in the azimuthal direction. This n...

Travelling wave convection in a rotating layer

Thermosolutal Convection of Micropolar Rotating Fluids Saturating a Porous Medium

Double-diffusive convection in a micropolar fluid layer heated and soluted from below in the presence of uniform rotation saturating a porous medium is theoretically investigated. An exact solution is obtained for a flat fluid layer contained between two free boundaries. To study the onset of convection, a linear stability analysis theory and normal mode analysis method have been used. For the ...

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...

Heat Transport in Rotating Convection

We derive upper bounds for the Nusselt number in innnite Prandtl-number rotating convection. The bounds decay algebraically with Taylor number to the conductive heat transport value; the decay rate depends on boundary conditions. We show moreover that when the rotation is fast enough the purely conductive solution is the globally and nonlinearly attractive xed point; the critical rotation rate ...