Flow of a Slightly Conducting Fluid past a Circular Cylinder with Strong, Aligned Magnetic Field

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Abstract
The induced magnetic field is neglected owing to the small conductivity of the fluid. The effect of the magnetic field upon the flow is also assumed to be so small that it can be treated as a perturbation. Thus, the first‐order correction to the nonmagnetic potential flow is obtained by a simple perturbation technique. The solution indicates existence of a nondiffusive, vortical, velocity deficiency which extends indefinitely downstream of the cylinder. The flow field at great distances is also reconsidered as a problem of singular perturbation.

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