NUMERICAL SIMULATION OF SISKO MODEL FOR UNSTEADY BLOOD FLOW THROUGH A VESSEL

摘要

Blood consists of plasma and blood cells. Plasma is a Newtonian fluid, but overall blood is a non-Newtonian fluid. Blood is a non-Newtonian fluid whose behavior can be observed by using the Sisko model. The Sisko model gives the stress tensor equation for the flowing non-Newtonian fluid. It is assumed that blood flowing in the core region of the vessel as a non-Newtonian fluid and blood flowing in the peripheral region as a Newtonian fluid. The blood flow equation is derived from the Navier-Stokes equation and the corresponding stress tensor equation. The numerical solution of the blood flow equation is approximated by using MacCormack scheme of finite difference method. This method is a predictor-corrector method with second order accuracy for space and time discretization. The obtained numerical scheme is applied to blood flow in the femoral artery and coronary artery. The simulation results show that the blood flow is periodic in time. In the non-Newtonian phase, the velocity of blood flow is higher than that in the Newtonian phase.