Numerical Solution of Unsteady MHD Couette Flow in the Presence of Uniform Suction and Injection with Hall Effects

In this paper, unsteady magnetohydrodynamic Couette flow is studied numerically for a viscous, incompressible and electrically conducting fluid between two infinitely long parallel porous plates, taking Hall current into account. Fluid flow within the channel is induced due to impulsive movement of the lower plate of the channel and fluid motion is subjected to a uniform suction and injection at upper and lower plates. Magnetic lines of force are assumed to be fixed relative to the fluid. Numerical solutions for primary and secondary velocities are obtained from the governing momentum equation by employing explicit finite difference method. Numerical solutions of the primary and secondary velocities are displayed graphically versus non-dimensional channel width variable $$y$$ for various values of Hall current parameter $$m$$, magnetic parameter $$M$$, suction/injection parameter $$S$$ and time $$t$$ whereas the numerical values of co-efficient of skin-frictions at the moving plate due to primary and secondary flows are presented in tabular form for different values of $$m$$, $$M$$, $$S$$ and $$t$$.