Two-fluid flow of blood through asymmetric and axisymmetric stenosed narrow arteries

摘要

The present study analyses the pulsatile flow of blood through asymmetric and axially symmetric stenosed narrow arteries, by treating the flowing blood as the two-fluid model with the suspension of all the erythrocytes in the core region as a Casson fluid model and the plasma in the peripheral layer as a Newtonian fluid model. Perturbation method is applied 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, asymmetry of the stenosis, depth of the stenosis, peripheral layer thickness 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 as the yield stress or stenosis height or stenosis shape parameter increases while all other parameters held constant. It is also observed that the velocity increases, plug core radius and longitudinal impedance decrease as the amplitude of the flow increases or the thickness of the peripheral region thickness increases. The estimates of the increase in the longitudinal impedance of the two-fluid Casson model are significantly lower than those of the single-fluid Casson model.