EFFECT OF UNSTEADINESS ON THIRD GRADE BLOOD FLOW THROUGH STENOSED ARTERY WITH VARIABLE VISCOSITY

The present study is aim at investigating the effect of unsteadiness on third grade blood flow through constricted artery with variable viscosity dependence on red blood cells concentration (hematocrit). Also, considered in this study are the externally applied magnetic field and slip velocity. Appropriate methods such as Galerkin’s weighted residual, Newton Raphson and fourth order Runge-Kunta have been adopted to solve the dimensionless steady and unsteady blood flow models with variable viscosities. Important flow characteristics such as velocity profile, volumetric flow rate, shear stress and resistant to flow have been computed. Effect of some important parameters such as hematocrit, velocity slip, magnetic field, Reynold number, shear thinning and pressure gradient on steady and unsteady blood flow models with variable viscosities are also considered and the results are displayed graphically. It was reveals from the graphs that, hematocrit increases with flow resistance and shear stress but decreases the velocity profile, and volumetric flow rate. Slip velocity and shear thinning increases with flow velocity, flow rate but reduces resistance to fluid flow for both steady and unsteady blood flow models. Also, magnetic field parameter increases with resistance to fluid flow but reduces velocity profiles and shear stress for both steady and unsteady blood flow models. Finally, for fixed values of the parameters such as slip velocity, magnetic field, shear thinning, pressure gradient and Reynold number, the velocity profile of unsteady blood model is higher than the steady blood flow model.