Pulsatile flow of couple stress fluid through a porous medium with periodic body acceleration and magnetic field

Abstract

Pulsatile flow of blood through a porous medium has been studied under the influence of periodic body acceleration by considering blood as a couple stress, incompressible, electrically conducting fluid in the presence of magnetic field. An exact solution of the equation of motion is obtained by applying the Laplace and finite Hankel transforms. The expressions for axial velocity, flow rate, fluid acceleration and shear stress have been obtained analytically. The effects of magnetic field, body acceleration and permeability parameter have been discussed with the help of graphs. It is found that the velocity distribution increases with an increase of both body acceleration and permeability of the porous medium, while it decreases as the magnetic parameter increases.