Impact of hematocriton the flow of casson fluid in contact with jeffery fluid over a narrow pipe

Abstract

The flow of Casson fluid in contact with Jeffery fluid in a tube with a small diameter is concentrated in this paper. Casson fluid is considered in the central region and Jeffery fluid in the outer region. The governing equations are solved analytically and obtained expressions for velocity, flux, effective viscosity, central hematocrit, and mean hematocrit in dimensional form. The effect of many physical parameters on velocity, flux, effective viscosity, central hematocrit, and mean hematocrit is observed through graphs. Central hematocrit increases with an increase in yield stress and hematocrit and means hematocrit decreases with an increase in yield stress and hematocrit. The paper finds its applications in the flow of blood in narrow arteries, vines, and capillaries. The problem warrants further study on the flow of non-Newtonian two-fluid flows in a narrow tube.