INVESTIGATION OF THE CURRENTS INDUCED IN A FLUID WITH TENSOR CONDUCTIVITY BY A RUNNING MAGNETIC FIELD
We analyze the nature of the Hall phenomena with using the equation of motion of the electronic component and the previously obtained solution of the boundary problem of the electromagnetic field distribution in an anisotropically electrically conducting fluid flowing through a channel of a rectangular cross-section of finite width or through a channel of a coaxial configuration under action of the running magnetic field. We show the relative role of zero and double frequency currents with the help of numerical estimates. These currents are the cause of the difference in the distribution of currents in a fluid from the usual one which occurs in the absence of anisotropy of conductivity. In a flat channel double-frequency currents may be absent in the presence of perfectly conducting side walls. In this case the zero-frequency current flowing along the channel reaches a certain limit value and the main frequency currents are less than at isotropic conductivity. There is no Hall current in the channel of the coaxial configuration but a longitudinal Hall EMF acts along the channel