Effects of Magnetic Field and Slip Condition on a Two-Fluid Model of Couple Stress Fluid flow through a Narrow Channel

摘要

The present paper investigates a two-fluid model of a couple stress fluid flow in a narrow channel in the presence of a magnetic field. It is assumed that the core region consists of a couple stress fluid and a Newtonian fluid in the peripheral region. The equations governing the flow of the proposed model are solved using the slip boundary condition and closed form 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 effective viscosity, core hematrocit and mean hematocrit decrease with couple stress parameter and core magnetic parameter. It can be observed that the core hematrocit and mean hematocrit decrease with slip but increases with Darcy number. Further, the effective viscosity and mean hematocrit increase with tube radius but core hematocrit decreases with tube radius. It is also noticed that the flow exhibits the anomalous Fahraeus-Lindqvist effect.