Abstract
In this work, for the first time, criterion dependencies of the speed of movement of the melt in the bath of an ore-thermal furnace during electric arc melting of oxide refractory materials under external electromagnetic influence were obtained. The initial quantitative characteristics for generalization in the form of the dependence of the speed in the zone of intense movement of the melt on the currents in the electrodes and the electromagnetic device were taken on the electrolyte and mercury physical models of an ore-smelting furnace with an electromagnetic device. Physical modeling was carried out while maintaining the invariance of the derived similarity criteria: the electrovortex flow parameter π μ and the external magnetic field parameter π l . In order to extend the experimental results obtained to a whole group of similar phenomena, the dependences of the dimensionless speed of melt movement (Reynolds criterion) on the dimensionless parameters of the external magnetic field and electric vortex flow were obtained and constructed. Since for all similar processes the similarity criteria retain the same values, then the criterion dependencies for them will be the same, and the results obtained can be extended to all similar cases.