Convection model in the rotating spherical layers with low supercriticalities

  1. IKIR FEB RAS

Convectional processes in the spherical layer of the viscous liquid are the main forms of movement in the
astro and geophysical objects and play a great role in the magnetic field generation.
Convective instability in the spherical shell of the viscous liquid in relation to the elementary (basic) poloidal
perturbations presented by generic field of some spectral problem is observed in the paper.
Non rotating and rotating shell cases are considered. In case of rotation, coriolis effect on the poloidal
perturbation approximates by two toroidal components. Explicit expressions for critical values of the Rayleigh
number in accordance with perturbations and relative thickness of the layer are shown.
Layer parameters corresponding to the Earth’s liquid core are separately analyzed.
Calculation data and diagrams are given.