Some relationships for a fluid with tensor conductivity in a moving magnetic field

K. I. Kim - V. T. Chemeris

Abstract
The character of Hall phenomena is analyzed on the basis of the equation of motion of the electron component and the solution of a boundary problem, obtained earlier, for the distribution of the electromagnetic field in a fluid with anisotropic electrical conductivity flowing in a moving magnetic field through a channel of finite width with rectangular cross section or through a coaxial channel. The relative role of currents of null and of double frequency due to a difference in the distribution of currents from the ordinary ones occurring in the absence of anisotropic conductivity is indicated by numerical estimates. In a plane channel with perfectly conducting lateral walls currents of double frequency can be absent. In this case the current of null frequency flowing along the channel attains a limit magnitude, and currents of the fundamental frequency have a magnitude less than that in the case of isotropic conductivity. In a coaxial channel the Hall current is absent, but a longitudinal Hall emf acts along the channel.

Magnitnaya Gidrodinamika 7, No. 4, 138-141, 1971[PDF] (in Russian)
Magnetohydrodynamics 7, No. 4, 552-556, 1971[PDF, 0.17 Mb]

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Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X
DOI: http://doi.org/10.22364/mhd