Christian Drumm

ON A HIGH-RESOLUTION GODUNOV METHOD FOR A CFD-PBM COUPLED MODEL OF TWO-PHASE FLOW IN LIQUID-LIQUID EXTRACTION COLUMNS

This paper is about the numerical solutions for a computational fluid dynamics-population balance model (CFD-PBM) coupled model of two-phase flow in a liquid-liquid extraction column. The model accounts for a complete description between both the dispersed and continuous phases, and constitutes a hyperbolic system of equations having a linearly degenerate nature. A numerical algorithm based on operator splitting approach for the numerical solution of the model is used. The homogeneous part is solved using the TVD MUSCL-Hancock scheme. Numerical results are presented, demonstrating the accuracy of the proposed methods and in particular, the accurate numerical description of the flow in the vicinity of the contact discontinuities.

Coupling of the CFD and the Droplet Population Balance Equation with the Finite Pointset Method

In this paper we present the liquid-liquid two-phase flow simulations of a stirred extraction column with the help of our own developed meshfree method called the Finite Pointset Method (FPM). The primary (continuous) phase is modeled by the incompressible Navier-Stokes equations. The motion of the secondary (dispersed) phase is simulated by solving the equation of motion in which inertia, drag and buoyancy forces are taken into account. The size of the droplets is obtained by solving the droplet population balance equation (DPBE). The DPBE is solved by the Sectional Quadrature Method of Moments (SQMOM). The coupling between both phases is performed by considering the momentum transfer from each phase. In this work, some simulations in two and three dimensional cases with constant breakage and aggregation kernels are presented.