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We have investigated and calculated the distribution of electromagnetic fields and forces induced by a three- phase axially-symmetric system of electric current with six electrodes in a cylinder of a finite length [1, 3]. In this paper the alternating current is fed to each of nine discrete circular conductors-electrodes, which are placed on the internal wall of the cylinder. This new mathematical model describes a real device [7], which transforms electric energy into heat. The viscous incompressible flow of weakly electroconductive liquid-electrolyte is obtained by the finite-difference method, using the monotonous vector finite difference schemes. The average axially-symmetric motion of electrolyte and vortex distribution in a cylinder has been considered. The dependence of electromagnetic forces and velocity distribution at the inlet of the cylinder is investigated in the case of: 1) the vortex formation from the Lorentz force inside the cylinder by the electrode, 2) the vortex-breakdown from the swirl velocity at the inlet of the cylinder. [ABSTRACT FROM AUTHOR]