Modelling of two-phase liquid–liquid flows through a Kenics static mixer by means of computational fluid dynamics (CFD) has been presented. The two modelled phases were assumed viscous and Newtonian with the physical properties mimicking an aqueous solution in the continuous and an oil in the dispersed (secondary) phase. Three levels of superficial flow velocity were chosen to result in Reynolds numbers ( Re ) equal to 100, 200 and 400, respectively. The numerical simulations were performed with the help of the commercial software Fluent™, version 5.4.8. The modelling involved both block-structured grids and fully non-structured grids for a static mixer with 10 Kenics inserts. Each of the two grid types had three density levels. The algebraic slip mixture (ASM) model was used in the Eulerian frame of reference and enabled the prediction of the pressure drop across the inserts, the local velocities and volume fraction of the two phases. The Lagrangian approach was used to track the trajectory of dispersed fluid elements (drops) in the simulated static mixer. The particle history was analysed in terms of the residence time in the mixer.