Analytical investigation and numerical modeling of collisions between a droplet and a fiber

[Display omitted] ► Energy balance-based calculations allow to predict the scenario of droplet–fiber collision. ► Scenario of collision between droplet and fiber depends on non-dimensional parameters. ► Deposition occurs at low Weber and capillary number – otherwise detachment observed. ► Breakup of a droplet is observed at low impact parameter and high Weber number. ► Two-color lattice-Boltzmann method as an effective tool for droplet–fiber collisions modeling. The kinetics of the collisions between droplet and the fiber is being studied in both theoretical and numerical way. During theoretical investigations the balances between the various components of total energy of the droplet have been used. As a result, we have obtained the conditions (expressed in terms of non-dimensional parameters characterizing the system) at which the deposition of the droplet on the fiber or the separation of the droplet from the fiber occurs. The results of theoretical computation have been compared with the results of the numerical simulations using the two-color lattice-Boltzmann method.