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. (C) 2011 Elsevier Inc. All rights reserved.