Effect of magnetic field on the time-dependent flow due to a disk with non-torsional oscillation and a Newtonian fluid at infinity rotating about distinct axes

Abstract

This work aims to study the effect of magnetic field on the time-dependent flow of an insulated disk executing non-torsional oscillation in its own plane and a Newtonian fluid at infinity while they are initially rotating at the same speed about two vertical axes. It is shown that the presence of a magnetic field causes a resistive force and the required time to reach the periodic state becomes shorter. Further, it is demonstrated that there is an excellent agreement between the exact solution that is appropriate for all values of time and the periodic solution that is valid after the periodicity of the flow starts.