A linear theory of rotating, thermally stratified, hydromagnetic flow
Abstract
The steady linear axisymmetric hydromagnetic flow of a thermally stratified fluid confined between two rotating parallel plates is studied. The flow is driven both mechanically by differential rotation of the boundaries and thermally by a centrifugal buoyancy force. The analysis is carried out both for constantheatflux boundary conditions and for mixed thermal boundary conditions. Emphasis is on the mechanism controlling the interior fluid (diffusion, Ekman pumping or hydromagnetic forces) and on the conditions under which a laminated flow may occur. The factors found to be most important are the thermal boundary conditions and the magnetic interaction parameter. For a restricted range of the governing parameters, a new boundary layer called the thermomagnetic layer may occur in which Coriolis, thermal, and hydromagnetic forces balance.
 Publication:

Journal of Fluid Mechanics
 Pub Date:
 November 1975
 DOI:
 10.1017/S002211207500290X
 Bibcode:
 1975JFM....72....1L
 Keywords:

 Axisymmetric Flow;
 Magnetohydrodynamic Flow;
 Stratified Flow;
 Temperature Gradients;
 Boundary Conditions;
 Boundary Layer Transition;
 Coriolis Effect;
 Incompressible Fluids;
 Laminar Flow;
 Magnetic Effects;
 Magnetohydrodynamic Stability;
 Parallel Plates;
 Rotating Fluids;
 Steady Flow;
 Thermal Boundary Layer;
 Plasma Physics