In this paper, three-dimensional computations, using the lattice Boltzmann method (LBM), of droplets involving deformation when sujected to shear flow are reported. The influence of shear rate on the droplet deformation of single and pairs of droplets, which is characterized in terms of the capillary number, is discussed. It is found that the larger the capillary number, the greater the deformation and rotation of the droplet. In the case of a pair of droplets, during the early stages of their deformation, shear-induced coalescence is observed that leads to the formtion of a ligament.
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