A Mathematical modeling of a two layered blood flow through constricted vessels

A mathematical model of pulsatile and two-layered blood flow through constriction vessels is simulated in this paper. The blood vessel has been assumed to be elastic and the blood flow is treated as a two-layered fluid، such that the core region is a micropolar fluid and the peripheral layer is a Newtonian plasma fluid. By applying suitable coordinate transformation، the governing equations have been solved numerically using the finite difference method، and the velocity profile of the two-layered blood flow has been achieved. The flow characteristics including the volumetric flow rate and the resistive impedance were obtained، and the effects of the stenosis size on these characteristic have been discussed.