On Blood Flow Through an Overlapping Stenosed Artery

Abstract

In the present study, an analysis of a mathematical model for blood flow through an overlapping stenosed artery is presented by treating the blood as a Newtonian fluid and taking the pressure gradient as a periodic function of time. Perturbation technique is applied to obtain the analytical expressions for velocity profile, volumetric flow rate and wall shear stress by assuming the Womersely parameter to be very small. Effects of overlapping stenosis and hematocrit of red cells on these flow variables are discussed graphically for better understanding of the model.