Theory of Interface Distortion in Stratified Two-Phase Flow

Abstract

We present an analysis of the variation of interface position during the stratified two-phase flow of two Newtonian fluids (1) between parallel plates and (2) through a circular tube. The analysis, which is based upon Reynolds lubrication theory, predicts that the high viscosity phase pushes into and displaces the low viscosity phase during extrusion. The extension of the analysis to viscoelastic fluids is also considered. The theoretical predictions are in general agreement with experimental studies of interface shape in tubular side-by-side two-phase stratified flow.