Unsteady pulsatile poiseuille flow of a couple stress fluid through a porous medium under the influence of periodic body acceleration

In this paper we discuss an analytical study of unsteady hydro dynamic poiseuille flow of an incompressible electrically conducting couple stress fluid through a porous medium between parallel plates, taking into account pulsation of the pressure gradient effect and under the influence of periodic body acceleration with phase differen φ. The solution of the problem is obtained with the help of perturbation technique. Analytical expression is given for the velocity field, and the effects of the various governing parameters entering into the problem are discussed with the help of graphs. The shear stresses on the boundaries and the discharge between the plates are also obtained analytically and their behaviour computationally discussed with different variations in the governing parameters in detail.