Two-Phase Eccentric Interface Laminar Pipeline Flow

Abstract

The laminar velocity profiles of Bentwich [1] are integrated to give the volumetric flow rates in a tube of two immiscible liquids with an eccentric circular interface. By setting the viscosity of the core liquid equal to infinity, the velocity profiles and corresponding volumetric flow rates become those of a long free-flowing solid cylinder and its eccentrically annular liquid. Sample plots are given of nondimensionalized flow rates of both phases as a function of diameter ratio, eccentricity, and viscosity ratio. Flow enhancement (or pressure-drop reduction) and power reduction factors are also presented for typical cases.