EFFECT OF MAGNETIC FIELD AND SLIP VELOCITY ON THIRD GRADE BLOOD FLOW AND HEAT TRANSFER THROUGH A STENOSED ARTERY.

Abstract

In this study, we considered the effect of magnetic field and slip velocity on blood flow and heat transfer through a stenosed artery using a third grade fluid model. The solution techniques employed are based on Galerkin weighted residual and Newton Raphson methods. Analytical expression for the flow velocity, temperature profile, volume flow rate, wall shear stress and resistance to flow were obtained and the results are presented graphically. The numerical simulation carried out reviewed that higher value of slip velocity significantly increased the flow velocity, flow rate, and wall shear stress but reduced the flow resistance and heat transfer rate while flow velocity, flow rate and shear stress gradually decreased with increased value of the magnetic field parameter but increased the flow resistance and heat transfer rate. Other parameter that enhance the flow velocity are the pressure gradient, shear thinning and Reynold number while that of heat transfer rate are the shear thinning, third grade parameter and Eckert number. Finally, it is reviewed from the results that the effect of slip velocity is more noticeable compare to that of magnetic field effect.

Keywords: Stenosed artery, Slip Velocity, Magnetic Field, Pressure Gradient, Eckert number, Reynold number, Shear thinning.