Analysis of MHD Flow of Blood through a Multiple Stenosed Artery in the presence of Slip Velocity

In the present investigation, a mathematical model is developed to study the flow of blood in a multiple stenosed artery employing velocity slip condition under the externally applied transverse magnetic field. Blood is modeled as Herschel-Bulkley fluid to represent the non-Newtonian character of blood in small blood vessels. The expressions for wall shear stress, volumetric flow rate, axial velocity, and core velocity have been derived analytically and graphically. These expressions reveal considerable alterations in flow characteristics due to slip velocity and stenosis. The magnetic field perpendicular to the flow of blood is incorporated which significantly controls the flow patterns. The study provides an insight into the effects of magnetic field and slip velocity on flow rate of blood, wall shear stress, axial and core velocities of blood. Keywords— MHD flow, slip velocity, multiple stenoses, volumetric flow rate, wall shear stress