Numerical Modeling of Blood Flow in Irregular Stenosed Artery with the Effects of Gravity

A numerical study on the influences of gravitational force on an unsteady two-dimensional nonlinear model of blood flow through a stenosed artery is presented. Blood flow through the constricted region with an irregular stenosis is considered as incompressible Newtonian fluid. The governing equations are derived from the Navier-Stokes equations, which also comprise a significant term for gravitational force in the axial momentum equation. The numerical method chosen in this study is the finite difference approximations based on Marker and Cell (MAC) method at which governing equations are develop in staggered grids for discretization. The Poisson equation of pressure is solved by successive- overrelaxation (S.O.R.) method. Pressure-velocity corrector is imposed to increase accuracy. Streamlines, wall shear stress and axial velocity profiles are plotted.