Two-layered model of blood flow through stenosed arteries

SummaryThe present investigation deals with a two-layered mathematical model of blood flow through an artery provided with a cosine-shaped constriction. The model consists of a peripheral plasma layer free from red cells and a core region represented by a Casson fluid. The geometry of the interface between the plasma layer and the core region has been determined and compared with that of the constriction along the length of the tube. The theoretical results obtained in this analysis are the expressions for wall shear stress and pressure drop for variable plasma layer thickness. The effect of the variable plasma layer thickness on the flow characteristics has been shown graphically for different parameter values to enable a better understanding of the biomechanical problem.