Analysis of MHD Flow Between Parallel Plates with an Angular Velocity

The work analyses the Steady and Unsteady Magnetohydrodynamic stokes flow of an electrically conducting viscous, incompressible fluid between two parallel porous plates of a channel with an angular velocity in the presence of a transverse magnetic field when the fluid is being withdrawn through both the walls of the channel at the same rate. An exact solution is obtained for all values of R (Suction Reynolds number) and M1 (Hartmann number with angular velocity). Expressions for the velocity components and the pressure distributions were obtained. The graphs of axial and radial velocity profiles have been drawn for different values of M1. Numerical solution is obtained for different values of R (Suction Reynolds number) using R-K Gill¿s method and the graphs of dimensionless functions f and f ¿ have been drawn.