Stability of an electrically induced vortical flow in an external magnetic field

V. Kh. Vlasyuk¹ - E. V. Shcherbinin²

¹ Vinnitsa State Technical University, Vinnitsa, 21021, Ukraine
² Institute of Physics, University of Latvia

Abstract
A numerical solution of the Navier--Stokes equations, without any additional and special assumptions, is applied to investigate the stability of electrovortex flows (EVF) and the azimuthal rotation driven by the interaction of a working current with an external magnetic field. The field was induced by one or two rings with the current arranged at the bottom of the cylindrical area under calculation. The current in the second ring was equal to the current in the first one but was opposite in direction. The results obtained are sufficient to analyze qualitatively and quantitatively the occurrence of a non-stationary hydrodynamic stream function and a Taylor instability, when an easier liquid breaks upwards through a denser layer. Critical dependencies on the EVT parameter S and interaction N are found. The main result of the work is the found characteristic reorganization of the zero vorticity line when the parameter approaches a critical value. Figs 6, Refs 15.