Study of Non-Newtonian Blood Flow of Jeffrey Fluid in an Elastic Tube

Most of the biological ducts which considered to be elastic in nature are layered and possess different fluid properties from that of pumped fluids Best & Taylor (1958). A mathematical model is presented according to the two-layered blood flow in an artery. Such flow demands a two-fluid model with elastic boundary. In addition, biofluids such as blood can be described well using two-fluid models rather than single fluid model. In the present paper, the flow of a Jeffrey fluid in contact with a Newtonian fluid is considered. The expressions for velocity of core and peripheral fluids and the flux flow rate are derived. The effect of the peripheral layer on the fluid motion and pumping characteristics is presented. The core and peripheral fluid velocities along with interface velocity are obtained in terms of inlet, outlet and external pressure; Jeffrey parameter, ratio of viscosity and elastic properties. The results obtained from the present analytical study of flux variation considering elastic properties are in good comparison with the published literature. It is concluded that the elastic parameters (t(1) &t(2)) significantly affect velocity and flux. Further, it is also found that flux reduces with increase in viscosity ratio. The analysis of the interface velocity on various physical parameters may be useful in understanding the behavior of the blood flow in normal and pathological states.