FLOW OF A CONDUCTING FLUID PAST A ROTATING MAGNETIZED SPHERE

we have studied the flow characteristics of conducting fluid past a conducting magnetized sphere rotating about the magnetic axis under the assumption that the flow at infinity is uniform and parallel to the axis considering only the first order effect of the magnetic field and conductivity. The main results are that (i) the conductivity of the sphere affects the flow characteristics, (ii) the rotation of the sphere induces the toroidal component of velocity and the magnetic field, (iii) the toroidal component of fluid velocity tends to vanish as the stagnation point is approached, (iv) the toroidal component of vorticity at a large distance from the sphere is affected by rotation only when the magnetic field originating in the sphere has no component due to a dipole, (v) rotation does not affect the drag on the sphere, but there is a torque opposing the rotation