M. LOEWENBERG a1andE. J. HINCH a2 a1 Department of Chemical Engineering,
Yale University, New Haven, CT 06520-8286, USA a2 Department of Applied Mathematics and Theoretical Physics,
University of Cambridge, Silver Street, Cambridge CB3 9EW,
A boundary integral formulation is used to investigate the interaction
pair of deformable drops in a simple shear flow. The interactions do not
appreciably the breakup of the drops. For certain ratios of the viscosities
and the suspending fluid, the lubrication gap that separates the two drops
rapidly in the extensional quadrant of the flow. Slight deformation endows
with an apparent short-range repulsive interaction: drop coalescence requires
der Waals attraction which was not included in this study. From the trajectories
different collisions, the self-diffusion coefficients that describe the
of the non-Brownian drops in a dilute sheared emulsion are obtained.
The self-diffusivities are very anisotropic, depend strongly on the viscosity
ratio, and depend modestly on the shear rate.