Fluid Motions Induced by an Electric Current Jet

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Abstract
The flow field induced in an incompressible viscous conducting fluid, occupying the whole space on one side of an infinite plane, by an electric current jet through a circular aperture of the plane, is considered. It is assumed that the velocity field is small and its effect on the electromagnetic field is negligible. It is shown, as in the case of a fluid jet, that the exact solution for the case when the aperture is of infinitesimal dimensions, is the first term of a series expansion of the solution for the case when the aperture has finite dimensions. The first three terms of this series for various values of the parameters occurring in the equations are computed and the solutions are discussed.

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