Hydromagnetic flow in a rotating channel permeated by an inclined magnetic field in the presence of an oscillator

A steady hydromagnetic flow of a viscous incompressible electrically conducting fluid confined between a perfectly conducting rotating parallel plate channel due to a constant pressure gradient permeated by an inclined magnetic field with the positive direction of the axis of rotation in the presence of an oscillator along the axis of rotation is investigated. The influence of these parameters, viz.M2 (the Harmann number) andK2 (the rotation parameter), describes a new relationG MK 2 =√16K4−M4sin4θ which defines the fundamental relation between the hydromagnetic force and the coriolis force. It is noticed that the laminar flow breaks down when the velocity is very large, i.e.,u+iv=∞ and it becomes turbulent when the frequency is very high, i.e.,ωT=1/2π. The rate of heat transfer is analysed when the frequency is very high, i.e.,ωT=1/2π.