Mathematical modelling of a hydrocyclone for the down-hole oil-water separation (DOWS)

► A mathematical model is developed for a down-hole oil-water separation hydrocyclone. ► The proposed model is based on the prediction of the flow field of the dispersed phase. ► The separation efficiency is determined based on droplet trajectory analysis. ► The results show that the model can predict the efficiency of a down-hole hydrocyclone.