The effect of a stationary mixer on the mixing of the liquid components in a pipeline is investigated. The studied mixer is made in the form of perforated disks with different locations of holes relative to the center of the disk. The main attention is paid to the study of the two-component liquid flow containing equal proportions of water and oil in a pipeline channel equipped with a static mixer. To analyze the dynamics of the flow, mathematical models implemented in numerical methods and algorithms of the OpenFOAM libraries are used. The computational experiments carried out made it possible to obtain a detailed understanding of the structure of flows inside a pipeline with an installed mixer. In addition, the obtained results permitted the qualitative and quantitative evaluation of the processes of mixing and stirring of liquid components. In the present work a detailed study of the pressure losses along the length of the pipeline is carried out. The regions of local and linear resistance are identified. It is shown that the presence of a water component in the flow leads to an increase in resistance and depends on the type of disks used in the mixer. The results obtained allow us to conclude that the studied static mixer with perforated discs can be used to obtain a homogeneous oil-water suspension; however, it is most effective when working with mixtures with a high water content.