Ecoulement diphasique permanent a bas nombre de Reynolds et bas nombre capillaire dans une succession de divergents-convergents methode de resolution aux differences finies

Abstract

Solution for two-phase flow with low Reynolds number and low Capillary number in two-dimensional divergent-convergent channel is presented. The method consists in (1) solving separately in each fluid domain the Navier-Stokes and continuity equations for some velocity conditions on the interface and (2) choosing the solution which appears physically as the most satisfactory relatively to the equality of tangential stresses on both sides of the interface. So, for a given interface, it is possible to determine the pressure drop in such a channel for various viscosity ratios.