Couette flow of a burgers' fluid with rotation

An exact solution of the oscillatory flow for an electrically conducting Burgers' fluid is developed in a rotating frame. A magnetic field is applied transversely to the fluid motion. The fluid motion between the two infinite plates is induced due to the small-amplitude oscillation of the upper plate. The primary and secondary velocities for steady and unsteady flows are developed. It is noted that the steady solution is independent of the nature of the fluid, whereas the fluctuating part of the solution depends strongly. Finally, the graphs are plotted and discussed in detail.