In this work the model of droplets coalescence in liquid/liquid dispersions in flow through fibrous media is proposed. It is derived for the computation cell being a cubicoid that comprises a single mesh gap and equal volumes upstream and downstream, which size corresponds to a packing factor of the filter media. The numerical approach takes into account deposition of droplets on the fibres as well as coalescence of free-flowing droplets with other ones attached to the filaments. The coalescence efficiency was calculated based on the film drainage model, while for deposition onto fibres the interception and inertial impaction mechanisms are taken into account. The computations gives efficiency of single layer of the media and enable calculation of size of droplets detaching from the fibres, so that provides a complete information about dispersion properties downstream the coalescence structure. The model describes a performance at initial states when the saturation increases and explains the quasi steady-state of operation.
