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Electromagnetic fields' calculations for quasi 2D electrovortex flows
A. Chudnovsky^{1}
, A. Matvejevs^{2}
, E. Ligere^{2}
^{1} JSC LATVO, Riga, Latvia
^{2} Riga Technical University, Riga, Latvia
Abstract
Direct current discharges between two or several electrodes submerged into an electrically conducting viscous incompressible liquid are discussed. When the electrical conductivity of electrodes is much higher than the liquid's conductivity, the vector of the electric current density in the liquid has horizontal components only. With this, only the zcomponent of the electromagnetic force field is nonpotential and generates electrically induced vortical flow in a conducting liquid. A general theory of such quasitwodimensional electromagnetic fields is described with examples for cylindrical, hyperbolic electrodes and horizontal dipole. Complex functions of complex variables are used to describe quasitwodimensional potential fields. Analysis of electromagnetic force fields allows approximate estimation of 3D patterns of related electrically induced vortical flow. Figs 15, Refs 7.
Magnetohydrodynamics 60, No. 1, 1730, 2024 [PDF]
