Dynamics of a drop at a fluid interface under shear

The dynamics of a two-dimensional drop flow on a fluid interface, which was subjected to simple shear flow was analyzed. A critical capillary number above which the drop had no steady shape and undergoes continuous deformation was obtained for a drop in shear flow at moderate viscosities. The symmetric drop deforms at critical capillary number along the interface and distance between the drops increases with drop length.The interfacial pinch-off process was found to be different from simple pinch-off due to the presence of the triple line in three dimensions. Possible implications for new drop instabilities were also discussed.