Blood Flow in an Inclined Tapered Stenosed Porous Artery under the Influence of Magnetic Field and Heat Transfer

A tapered inclined porous artery with stenosis was considered under the influence of magnetic field and heat transfer. The mathematical formulation for the momentum and energy equations of the blood flow considered to be Newtonian were obtained. The energy equation which was obtained by taking an extra factor of heat source and the nonlinear momentum equation were simplified under the assumption of mild stenosis. These equations were non-dimensionalized and solved using Differential Transform Method (DTM) to obtain expressions for velocity, temperature and volumetric flow rate. The graphs of the expressions were plotted against radius of the artery to simulate the effects of magnetic field, heat transfer and other fluid parameters on the velocity, temperature and the volumetric flow rate of the blood. It was observed that as the magnetic field parameter (M) increases, the velocity, temperature and the volumetric flow rate of the blood increase but wall shear stress decreases at the stenosis throat. It was further observed that the effects of heat transfer and magnetic field resulted into a greater variation in the volumetric flow of an inclined artery in the converging region than in the diverging region.