Abstract
The influence of the Hall effect and the initial angle of the flow direction on the performance characteristics are investigated analytically for a divergent vortex-type MHD power generator which is worked by an incompressible and inviscid fluid and a uniform axial magnetic field. It is assumed that the Hall parameter and the electrical conductivity of the fluid are constant and that the induced magnetic field is negligible. The performance characteristics of the power generation are dependent upon the Hall parameter; first, the maximum electrical current and the corresponding initial angle of the flow direction decrease with increase of the Hall parameter, which can be described in terms of the power generation region; second, the rate of conversion of the kinetic energy of the fluid to electricity becomes less dependent on the flow direction as the Hall parameter increases. Furthermore, the internal resistance of a given generator is shown to depend not only upon the Hall parameter and the electrical conductivity of the fluid but also upon the flow direction. This implies the feasibility of matching the resistance by suitably changing the flow direction.
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