MATHEMATICAL ANALYSIS OF CASSON FLUID FLOW THROUGH ELASTIC TUBE WITH APPLICATIONS TO BLOOD FLOW - A MATHEMATICAL STUDY

摘要

The steady, laminar and fully developed uni-directional flow of blood through a narrow elastic artery is mathematically analyzed, treating blood as non-Newtonian Casson fluid. The closed form solution to shear stress, velocity distribution, flow rate and frictional resistance to flow are obtained. It is found that the velocity and flow rate of blood decreases considerably with the increase of yield stress of blood and an opposite behavior is noticed for frictional resistance to flow. It is also noted that the velocity and flow rate of blood increases considerably with the increase of radius of tube and this behavior is reversed for frictional resistance to flow. The volume flow rate and fluid velocity increase with the increase of pressure difference at the inlet of the tube and an opposite behavior is experienced in these flow quantities when the pressure difference at the exit of the tube. It is recorded that the volume flow rate of the fluid increases considerably with the increase of the elastic parameters of the artery.