Zero Prandtl-number rotating magnetoconvection

Bifurcation of Infinite Prandtl Number Rotating Convection

We consider infinite Prandtl number convection with rotation which is the basic model in geophysical fluid dynamics. For the rotation free case, the rigorous analysis has been provided by Park [15, 16, 17] under various boundary conditions. By thoroughly investigating We prove in this paper that the solutions bifurcate from the trivial solution u = 0 to an attractor ΣR which consists of only on...

Onset of zero Prandtl number convection

The transition to convection in a zero Prandtl number fluid with stress-free and perfectly conducting boundaries differs significantly from finite Prandtl number convection, giving rise to a three-dimensional pattern. Two possible scenarios are described and compared with recent numerical simulations by Thual Ii]. The Prandtl number of a fluid can approach zero in one of two ways either because...

Anisotropic turbulence in rotating magnetoconvection

Numerical simulations of the 3D MHD-equations that describe rotating magnetoconvection in a Cartesian box have been performed using the code NIRVANA. The characteristics of large-scale quantities like the turbulence intensity and the turbulent heat flux that are caused by the average action of the small-scale fluctuations are computed directly from the fluctuating primitive variables. and the e...

Rotating Magnetoconvection with Magnetostrophic Balance

The linear theory for the onset of convection in a rotating layer with an imposed vertical magnetic field is studied for large Taylor (Ta) and Chandrasekhar (Q) numbers. The velocity and magnetic field perturbations are in magnetostrophic balance. For small values of σ = ν/κ and ζ = η/κ, where ν, κ and η are the kinematic viscosity, and thermal and ohmic diffusivities, three oscillatory modes a...

Logarithmic Bounds for In nite Prandtl Number Rotating Convection