Unsteady MHD peristaltic flow of a couple stress fluid through porous medium with wall and slip effects

The credibility of a computational analytical solution of time dependent mean velocity for magneto hydrodynamic (MHD) peristaltic flow of an electrically conducting couple stress fluid in an uniform elastic porous channel is analyzed and assessed. The effect of slip condition has been studied. Mathematical model is formulated assuming small Reynolds number and long wavelength approximations. Various aspects such as Magnetic parameter, Darcy number, slip parameter and couple stress parameter are discussed through graphs under the existence and non existence of both stiffness and viscous damping force. It is noticed that the time dependent mean velocity increases with increase in the Magnetic parameter in presence of elastic parameters and flow reversal occurs at the center line of the channel.