Current structure in the end regions of an MHD channel with continuous electrodes

L. V. Gorodzha - A. P. Rashchepkin

Abstract
Electrical processes are studied in the flow of an anisotropically conducting plasma, assuming a jump-like change in the magnetic field in the end regions of the electrodes. The equations of electrodynamics are solved by means of the Riemann boundary-value problem for automorphic functions. The final result is in the form of an integral Fredholm equation, which has an exact solution for a Hall parameter equal to unity. The current densities across the electrodes are calculated for this case, and the energy characteristics of the channel are evaluated.