Modeling of stirred liquid-liquid dispersions

Abstract

In this paper, we consider a stirred liquid-liquid dispersion, i.e. a tank filled with two immiscible fluids which are stirred so that one of the phases disperses into the other one by building droplets. To model all relevant processes appearing in such a system, one has to account for the turbulent flow in the tank as well as for the population dynamical processes of the dispersed phase. We derive a system of equations that contains both occurring phenomena. Furthermore, the properties of the corresponding differential-algebraic equations describing the dynamics of the process will be determined in order to analyze the behavior of the system when solving it numerically.