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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, 138141, 1971 [PDF] (in Russian)
Magnetohydrodynamics 7, No. 4, 552556, 1971 [PDF, 0.17 Mb]
