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

Abstract

This paper demonstrates that it is possible to induce axisymmetric magnetic fields by a poloidal flow to determine the effect on the magnetic field caused by a certain flow of a conductive fluid. Using a simultaneous equation expressed by inductances induced from the induction equation expressed by a vector potential and treating the current as an eigenvalue problem, it is shown that different current modes can exist. While there are many different expressions of the electromagnetic induction equation, the use of the simultaneous equation expressed by inductances is novel. Each mode varies according to its eigenvalue, which can be positive under certain conditions, resulting in an eigenvector that increases over time, thereby maintaining a magnetic field, at least in a poloidal flow. Several case studies based on the dimensions and plasma properties of a star are reviewed; however, there are no dimensional restrictions to the provided equations, which are expected to be appropriate for various applications. For example, the proposed methodology could be applied to enhance the understanding of specific phenomena occurring in celestial bodies (planets and stars).