Theory of Electromagnetophoresis. I. Magnetohydrodynamic Forces Experienced by Spherical and Symmetrically Oriented Cylindrical Particles

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Abstract
This paper is the first of a series dealing with the theory of the electromagnetokinetic effect. This effect consists of the exertion of a force upon a body submerged in a fluid which is traversed by an electric current and a transverse magnetic field. In this communication the conditions for equilibrium of an homogeneous fluid are established and forces upon particles suspended in the fluid are determined. The computations are carried out for spherical bodies and long cylindrical bodies oriented parallel to the magnetic field, to the electric current, and to the exerted force. It is shown that the effect could be observed with suspended particles which differ from the surrounding fluid in the value of their electrical conductivity or dielectric constant, and/or their magnetic permeability.

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