BOOSTING THE MAGNETIC FIELD OF A TOROIDAL CONDUCTIVE FLUID BY A POLOIDAL FLOW

Abstract

Cowling's theorem asserts that applying the first-order derivative of the stream function of the magnetic field results in a value of zero and its second-order derivative does not result in a value of zero. Thus, a contradiction to the magnetic maximum or minimum pole in the electromagnetic induction equation occurs. However, a different interpretation of this assertion is presented in this paper. If Ohm's law in Cowling's theorem includes an electromotive force due to a vector potential, this equation can be satisfied, which is why the magnetic flux fluctuates. The self-excitation mechanism causes these fluctuations. In this paper, a theory that decomposes vector potential into inductance and current is introduced, and it is solved as an eigenvalue problem. Considering the suppression of convection by the Lorentz force is equally essential to understanding the stability of the magnetic fields.