Drop deformation and breakup with diffuse interface method

Two-dimensional numerical simulation of the deformation and breakup of an isolated liquid drop suspended in immiscible viscous fluid under shear flow was performed with the diffuse interface method. The governing equations of the model were described by Navier-Stokes-Cahn-Hilliard equations. The surface tension was treated as a modified stress. In the paper, the critical Capillary number was Plotted as a function of viscosity ratios with the method of approximation. Besides, From the numerical observations, the breakup of the droplets occurred by three mechanisms, namely, necking, end pinching, and capillary instability Quantitative results for the deformation and breakup of drop are presented.