Effect of a magnetic field on a rotating fluid flow

Abstract

In this paper, we investigate the effect of a magnetic field on a rotating fluid flow in a rotating frame. A system of equations of motion was considered for some components of velocity and magnetic fields. Under some mathematical conditions and assumptions, the system of equations of motion give rise to a differential equation whose result in a graphical representation shows that the velocity of rotation for the rotating fluid flow increases as the product of the imposed magnetic field increases but as the z-component becomes very large or tends to a very large value, the velocity of rotation for the rotating fluid flow is the same or constant for all the products of the imposed magnetic field.