Unsteady MHD Generalized Couette Flow in a Rotating Channel with Induced Magnetic Field, Hall Current and Periodically Magnetized Walls

Abstract

In this research work a mathematical analysis is presented for
unsteady MHD generalized Couette flow of an incompressible and
electrically conducting fluid in a rotating channel with induced magnetic
field and Hall current. Both walls of the channel are magnetized and their
magnetism is fluctuating periodically. The MHD flow through the parallel
wall channel is developed due to an applied periodic pressure gradient and
oscillatory movement of one of the walls of the channel. The solution of
the flow governing coupled partial differential equations is obtained in
closed form. To analyze the influences of various flow governing
parameters, the numerical results for fluid velocity, induced magnetic
field and skin friction at the moving wall are computed and presented
through graphs and table. It is observed that Hall current raises the fluid
velocity in the secondary flow direction in most of the upper part of the
channel while this effect is upturned in the vicinity of the lower wall of
the channel.