Two-Fluid Nonlinear Mathematical Model for Pulsatile Blood Flow Through Stenosed Arteries

Pulsatile flow of blood through mild stenosed narrow arteries is analyzed by treating the blood in the core region as Casson fluid and the plasma in the peripheral layer as Newtonian fluid. Perturbation method is used to solve the coupled implicit system of non-linear differential equations. The expressions for velocity, wall shear stress, plug core radius, flow rate and resistance to flow are obtained. The effects of pulsatility, stenosis, peripheral layer and non-Newtonian behavior of blood on these flow quantities are discussed. It is found that the pressure drop, plug core radius, wall shear stress and resistance to flow increase with the increase of the yield stress or stenosis size while all other parameters held constant.