Influence of Variable Viscosity and Slip Velocity on Unsteady Magnetohydrodynamic (Mhd) Flow of Blood Through a Stenosed Artery

In this articles, influence of variable viscosity and slip velocity on unsteady MHD flow of blood through a stenosed artery are investigated, The blood viscosity is assumed to varying radially with hematocrit throughout the region of the artery. The analytical expressions for the flow characteristics are obtained using Galerkin’s and Fourth order Runge-Kutta methods. It was revealed from the results that, increase in Hematocrit parameter lead to increase in shear stress and resistance to flow but decreases the flow velocity and volume flow rate. Also, velocity profile and volume flow rate increases significantly with increase values of the slip velocity but reduces the resistance to flow. Magnetic field parameter increases with resistance to flow but slightly decreases the velocity profile of the blood flow. Other parameters that could have a positive or negative effects on the flow characteristics are Reynolds number, Pressure gradient and Hartmann number.