Modelling and analysis of thermal radiation effects on blood flow in a stenosed artery

Two mathematical model equations were developed by considering Newton’s laws of motion in continuity, momentum and energy. The governing equations were solved using the direct integration technique. The aim of the study is to model and analyse thermal radiation effects on blood flow in a stenosed artery. The study assumed that the stenosis developed in an artery wall in an axially symmetric manner and depended upon the axial distance and height of its growth. It also assumed that stenosed artery contained an incompressible viscous Newtonian fluid and the flow can be assumed to be one dimension and steady.Finally, the numerical simulation was investigated to see the effects of variation of stenotic height, haematocrit ratio, radiation heat flux and Brinkman number on the velocity and temperature profiles together with skin friction and Nusselt number. The obtained results for different values of parameters involved were discussed. The problem under consideration showed that the flow is appreciable influence by those parameters.