Jeffrey Fluid Flow through a Narrow Tubes in the Presence of a Magnetic Field

The present paper investigates a two-fluid model for the flow of a Jeffrey fluid in tubes of small diameters in the presence of a magnetic field. It is assumed that the core region consists of a Jeffrey fluid and a Newtonian fluid in the peripheral region. Analytical expressions for velocity, flow flux, effective viscosity, core hematocrit and mean hematocrit have been derived and the effects of various relevant parameters on these flow variables have been studied. It is found that the effective viscosity decreases with Jeffrey parameter and core magnetic parameter but increases with tube hematocrit and tube radius. Further, the core hematocrit decreases with Jeffrey parameter, core magnetic parameter, tube hematocrit and tube radius. It is also noticed that the flow exhibits the anomalous Fahraeus-Lindqvist effect.