Abstract
An investigation has been carried out of the current and electric field distributions in the end region of a crossed field MHD device (accelerator or generator), with skewed electrodes, for the case in which the plasma exhibits the Hall effect. In order to simplify the situation enough to permit analytic solutions, a two-dimensional problem was considered wherein the plasma velocity and properties, and magnetic field intensity were taken to be constant and uniform. Solutions were obtained for several values of ωτ (ω=electron cyclotron frequency, τ=electron mean free time); they show that current flows a considerable distance upstream of the beginning of the electrodes, that some current concentration exists at one of the electrode corners, and that displacing this electrode upstream reduces this current concentration somewhat.
Published Version
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