Zeidan, D.D.ZeidanAttarakih, M.M.AttarakihKuhnert, J.J.KuhnertTiwari, S.S.TiwariSharma, V.V.SharmaDrumm, C.C.DrummBart, H.-J.H.-J.Bart2022-03-042022-03-042010https://publica.fraunhofer.de/handle/publica/22284610.1142/S02198762100022832-s2.0-78149252365This 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.en510journal article