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A steady two-dimensional MHD flow of an incompressible, inviscid, electrically conducting fluid past an elliptic cylinder (of small eccentricity) is considered for the aligned field case when the magnetic diffusivity (η m ) is large. Attempt is made to find the interaction of the field and the motion, and also the drag force experienced by the cylinder by retaining the non-linear terms. It is found, to a first approximation, that the drag force is independent of the fluid density; the drag force for a circular cylinder is also deduced.

Plane slow motion of an incompressible, electrically conducting and viscous fluid past a circular cylinder placed midway between the two parallel walls in a channel in the presence of a uniform magnetic field parallel to the walls is considered; the consideration is restricted to the case when the magnetic diffusivity is large (i.e., when electrical conductivity is small) and investigation is carried out by considering outer and inner solutions on the basis of Stokes approximation. The drag force on the cylinder is also derived. It is found that the walls have significant effect on the drag force.