Electrically Induced Vortical Flows pp 120-153 | Cite as

# Electrically induced vortex flow at a point electrode and azimuthal rotation

## Abstract

The previous chapter dealt with the flows arising when an electric current radially diverges through the fluid from a small electrode. In spite of the simplicity of the physical model with a point current source, which was successfully combined with the similarity solution of equations of motion and magnetic field, it was found to be impossible to describe the flows for magnitudes of electric current higher than a certain critical magnitude. The source of failure may be sought in the similarity of the equations, which greatly restrict the form of the motions. However it should be recalled that the similarity is not an artificial assumption to describe the flows at a point electrode, it is derived by the dimensional analysis of the given physical quantities entering the problem [26]. Moreover, as was demonstrated in Section 2.10, the description of analogous flows without the assumption of similarity, e.g. in a closed hemispherical container, also led to serious difficulties. Consequently, the cause of difficulties should be sought in the physical statement of the problem, which probably does not take into account an essential mechanism limiting the growth of velocities in the flow when the critical magnitude of electric current is reached. The limiting mechanism cannot be related to the flow induced electric current since, even for excessive magnitudes of electrical condictivity (by 6–7 orders of magnitude compared to real materials) the critical magnitude of the electric current is not appreciably increased.

## Keywords

Axial Velocity Electromagnetic Force Rigid Wall Differential Rotation Stream Line## Preview

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