numerical simulation of micropolar flow in a channel under oscillatory pressure gradient

We numerically investigate the pulsatile flow and heat transfer of a micropolar fluid through a darcy-forchhmeir porous channel in the presence of wall transpiration. we use the central difference approximations for the spatial derivatives, whereas the time integration has been performed by employing the three steps explicit runge-kutta method to obtain the numerical solution. it is noted that the darcy parameter tends to accelerate the fluid, whereas the forchheimer quadratic drag parameter and the magnetic parameter would reduce the flow velocity. the effect of the steady component of the pressure gradient is to remarkably accelerate the flow whereas that of the oscillatory component is time-dependent. an increase in the prandtl number tends to almost straighten the temperature profiles.