The analysis of non-Newtonian blood flow through an atherosclerotic artery in the presence of body acceleration, radiation effect and magnetic field

The unsteady analysis of two-dimensional laminar flow of the non-Newtonian blood through an atherosclerotic artery in the presence of body acceleration, radiation effect and magnetic field has been studied. The blood flow has been assumed to satisfy the Herschel-Bulkley fluid model characteristics. The two- dimensional model equations have been developed from the physical laws of continuity, momentum and energy conservation. These equations are transformed to non-dimensional form and solved numerically using explicit finite difference method under suitable radial coordinate transformation. The study findings show that, the presence of body acceleration increases both velocity and temperature profiles of the blood in the artery while the influence of applied magnetic field reduces the velocity of blood. It is also noticed that the effect of thermal radiation within the stenosed arterial segment leads to an increase in the local blood temperature through the radiative process.