Oscillatory flow of blood in a stenosed artery.

The oscillatory flow of blood through a stenosed artery is investigated in this paper in presence of magnetic field. The laminar, incompressible, fully developed, Newtonian flow of blood in an artery having mild stenosis is numerically studied under the action of transverse magnetic field and the numerical results are obtained for the oscillatory flow of blood using Shooting method. It is assumed that the surface roughness is cosineshaped and the maximum height of the roughness is very small compared with the radius of the unconstricted tube. Numerical solutions are obtained for the flow velocity, flow rate, wall shear stress and impedance. The results are shown graphically. It is observed that fluid velocity decreases for the increase in the values of the Hartmann number as well as the frequency parameter while increases for the increasing in the values of the Reynolds number. Volumetric flow rate and wall shear stress increase with increase in the values of the Reynolds number and decrease with the increasing values of the Hartmann number. The effect of the frequency parameter on impedance to the flow is discussed graphically and observed that it enhance the impedance.