Numerical study of controlling blood flow through a stenosed artery using power-law fluid

Abstract

Blood flow in artery has vital aspects due to the engineering as well as the medical implicational point of view. A non-Newtonian model for blood flow for a stenosed artery in human blood vessel has been studied numerically in this research. The non-Newtonian power-law model of blood flow has been considered for numerical investigation. The governing system of equation based on incompressible Navier-Stokes equations with externally imposed magnetic resonance has been generalized to take into account blood properties. The objectives of this research are to investigate the effects of inlet velocity and imposed magnetic field on the blood flow through the artery. Finite element method of Galerkin's weighted residual has been employed to solve the governing system of equation with proper boundary conditions. The numerical simulation has been conducted for various inlet velocities from 0.005 to 0.1 m/s and magnetic field strength from 0 to 12 tesla with good convergence of the iterative scheme. Results have been shown in velocity, surface plot of velocity, pressure and viscosity contours. Cross-sectional plots of velocity magnitude, pressure and viscosity across the stenotic contraction have also been displayed graphically. Results from the blood flow simulations indicate that viscosity increases due to increasing values of inlet velocity of blood and magnetic strength.