The document discusses modeling the hydrodynamics of a membrane bioreactor system using computational fluid dynamics (CFD) and empirical modeling. Experiments were conducted to measure shear stress and gas slug velocity in a tube under two-phase slug flow conditions. A CFD model was developed and validated against experimental data. Empirical models were also developed to correlate shear stress measurements and predict bimodal shear stress histograms. The models were then used to analyze pressure drop, energy consumption, and opportunities for optimization in the membrane bioreactor system. Finally, the structure of a PhD thesis modeling the hydrodynamics of a specific Norit airlift membrane system is outlined.