Magnetohydrodynamic FIow between Parallel Rotating Disks : Report 1, Influence of Finite Wall-Conductance

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An approximate analysis is made of the effects of wall-conductance and external-circuit condition on the velocity profiles of steady magnetohydrodynamic flow of an incompressible, viscous, and electrically-conducting fluid between two-parallel rotating disks in an axial magnetic field. Perturbation method is employed to take the inertia effects into account. By numerical examples, the effect of these parameters on the velocity profiles and hence the torque of rotating disks are clearly shown. (i) The circumferential velocity profile is directly affected by the wall-conductance, but the effects on the radial and axial- velocities are second order. (ii) The effect of total current I* on the circumferential velocity is large only for the insulating-wall. (iii) Total torque of the rotating disks changes largely with the wall-conductance.
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