Modelling break-up process of a liquid drop in shear flow

The aim of this paper is to give a contribution within the mathematical modelling of the deformation and breakup of a droplet in a continuous immiscible liquid phase in impulsively started shear flow. Starting from the results of Cristini et al. [V. Cristini, S. Guido, A. Alfani, J. Blawzdziewicz, M. Loewenberg, Drop breakup and fragment distribution in shear flow, J. Rheol. 47 (5) (2003) 1283–1298] we extrapolate a general scheme for the whole breakage process, on the basis of which we formulate a procedure for the computation of the size distribution function at the end of the process.