MAGNETOHYDRODYNAMIC FLOW IN A TRUNCATED CONICAL ENCLOSURE
The effect of an axial magnetic field on the flow produced by counter-rotation of the top and bottom disks in a conical enclosure having an aspect ratio equals to 2, filled with a liquid metal, is studied. The bottom and top disks rotate in the opposite direction with a same constant angular velocity Ω. The governing Navier-Stokes, and potential equations are solved by using the finite-volume method. It was observed that the Reynolds number is increased, the axisymmetric basic state loses stability and giving an asymmetric mode m=1. It is also found that the primary thresholds Recr corresponding to the modes m=1, increase with increasing of the Hartmann number (Ha). Finally, stability diagram (Re-Ha) has been established according to the numerical results of this investigation.