Influence of MHD and Heat Transfer on Blood Flow in a Stenosed Porous Artery: DTM Approach

Abstract

This paper investigates the motion of blood in a stenosed porous artery subjected to heat transfer and magnetohydrodynamic impact. Atherosclerosis having attributed as one of the arterial circulation diseases risk factor, caused by the build-up of plaques resulting to stenosis and hardening in the arteries, hence the need for investigation of stenosed artery become imperative. The governing equations were modeled with assumption that the stenosis is in form of cosine-shaped. Differential Transformation Method (DTM) was implemented on the obtained momentum and energy equations, from which expressions for axial velocity and temperature were deduced. The volumetric flow rate and wall sheer stress expressions were also obtained. These expressions were used to simulate the effects of heat transfer parameter, magnetic field among other flow parameters on the wall sheer stress, volumetric flow rate, temperature and velocity fields. It was observed that an increase in the empty spaces or voids present in the artery (porosity) and the magnetic number appreciates both blood temperature and its velocity significantly. It is believed that the implementation of the present investigation will assist in preparing and forecasting for a corrective procedures.