Two Layered Model of Blood Flow through Composite Stenosed Artery in Porous Medium under the Effect of Applied Magnetic Field

The present paper deals with a two-layered mathematical model for blood flow through stenotic tube in porous medium under the effect of an applied magnetic field. In this mathematical model, the blood is considered as Newtonian fluid of variable viscosity in the central region and plasma fluid which is considered as Newtonian fluid of constant viscosity in the peripheral region of the stenotic tube. In this model, the flow is assumed to be steady, laminar, incompressible and unidirectional, and expressions are obtained for axial velocities, flow rate and wall stresses. The governing equations representing the flow in central and peripheral layer are solved for the velocities of fluid, flow rate, shear stress by using Shooting method. It is observed that the fluid’s velocity and flow rate were reduced when the magnetic field was introduced as well as when its intensity was increased. While wall shear stress increases with the increase in Hartmann number as well as Reynolds number. Effect of permeability constant on shear stress and on velocity are also studied graphically. Keywords— Stenosis vessel, two-layered model, blood flow, Newtonian fluid, peripheral layer, magnetic field, shear stress.