| Abstract: | The exact formulation of problems for the unsteady flows of viscous incompressible conducting fluids in MHD channels with arbitrary wall conductivity envisions the joint solution of the equations for the fluid and for the surrounding medium, connected by the conditions at the interface, where the electric and magnetic fields must be continuous 1, 2]. If the side walls of the channel are made from highly conductive material and are connected with the external circuit, then these equations in the general case must be supplemented by the system of equations for the external circuit, written in accordance with Kirchhoff's second law.The solution of such problems in the exact formulation presents extreme difficulties. Moreover, in many particular cases which are of practical interest the problem formulation may be simplified, and solutions may be constructed in closed form.In the following we consider the possibilities of such simplification in studying unsteady flows of a fluid of high conductivity in planar MHD channels with an external electrical circuit. |
