Characteristics of Blood Flow Through a Porous Tapered Artery having a Mild Stenoses under the Influence of an External Magnetic Field

ABSTRACT Of concern in the paper is a study of the steady flow of blood mixed with nanoparticles through an inclined tapered stenosed artery having porous wall under the influence of a magnetic field. Assuming the stenosis to be mild, the flow equations are linearized. Expressions for resistance to flow and wall shear stress are derived. The problem is solved by using Homotopy Perturbation Method (HPM). The effects of various parameters on flow characteristics have been investigated. It is found that flow resistance is enhanced as the height of the stenosis increases. Variation in nature of blood flow is examined, for varying values of the permeability remains constant, Brownian motion parameter, angle of inclination, magnetic field intensity, and thermophoresis parameter. The study reveals that the shear stress increases with the increase in intensity of magnetic field, but it decreases with increase in permeability parameter.