On the steady and unsteady blood flows in an artery with an overlapping stenosis

The problems of steady and unsteady blood flow in an artery with an overlapping symmetric stenosis are considered. The governing equations for the mass conservation and momentum are used for blood flow system, but here the dynamic viscosity of the fluid is a function of the radial variable as modeled by Einstein to take into account the hematocrit. Hematocrit is the percentage of the red cells by volume in the whole blood fluid. Mathematical models for steady and unsteady blood flow are developed for the leading order flow velocity, pressure gradient, impedance and shear stress, and investigate the dependence of these quantities on the hematoocrit, frequency, height of stenosis, parameter determining the shape of the constriction. It was observed that the higher value of the frequency, hematocrit, height of stenonis leads to higher values of the axial velocity, the impedance and the wall shear stress in the stenosis zone.