A Theoretical Study of MHD Power Generation, (I):Electric Field Distortion due to Hall Effect

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This paper deals with an analysis of the current and electric field distributions in the entrance and exit regions of a linear MHD power generator, for the case where the working fluid (gas) exhibits the Hall effect. For simplicity, the following assumptions are adopted: (1) The MHD power generator is of constant-velocity-type. (2) The problem is two dimensional. (3) The electrical conductivity and the Hall parameter of the fluid and the magnetic field are constant and uniform in the region of interest. (4) The seeding material is injected uniformly at the entrance plane. Solutions are presented in closed form for several values of the Hall parameter, ωτ They show that the electric potential in the entrance plane assumes an extreme value between the electrodes, and that the length of the "entrance region" is of the same order as the distance between the electrodes. The influence of electric field distortion at the entrance on the current and electric field distributions is negligible beyond this region. The electric field distortion occurs in the exit region also, resulting in "end loss" which is approximately proportional to σeμ ωτ.
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