Work is devoted mathematical modelling of processes in the channel of the MHD-device with the conical axisymmetric form of a channel. The assumptions accepted at modelling are formulated. The mathematical description of a prototype system with usage of known laws of electrodynamics is conducted. The equations of components of density of current, a magnetic field and electromagnetic forces in the conical part of the channel of the observed device are defined. Adequacy of the developed model is confirm by results of computer simulation of processes in the channel of the device. Deductions about applicability of results of the given work are presented.

Keywords: MHD-device, conical axisymmetric channel, density of current in the channel, mathematical model, electromagnetic forces