Distribution of current density in the channel of an alternating-current conduction machine

G. M. Gekht - I. M. Tolmach

MHD Laboratory, Kharkiv, Ukraine

Abstract
The problem of the flow of an electrically conducting fluid in an infinitely long channel with one pair of electrodes located in a magnetic field varying in time according to the cosine law is considered. An analytical description is obtained for the current density under the assumption that the distribution of the hydrodynamic quantities is given. It is shown that the solution consists of a part analogous to boundary value problems for a constant field and an additional part which depends on the parameters of the alternating field.