Deformation and breakup of a compound droplet in three-dimensional oscillatory shear flow

Abstract A compound droplet subject to three-dimensional oscillatory shear flow is studied using a three-phase lattice Boltzmann model. Firstly, focusing on low values of capillary number (Ca) where the eventually reaches steady-state condition, we study effect period, viscosities inner and outer fluids droplet, wall confinement Ca behavior. As period increases, maximum deformation parameters gradually approach in corresponding simple for both droplets, more synchronous with applied shear. We demonstrate first time that due high pressure near two tips inside may rotate counterintuitively direction opposite one. The undergoes larger when either less viscous, which also decreases synchronization between droplets. Increasing ratio not only promotes deformations constituent but makes them It found droplets increase linearly up C = 0.35 deviate from linearity at higher Ca, multipeaked oscillations are observed can be extensional resulting rapid contraction droplet. then analyze breakup behavior varying ratios, compare findings those flow. critical exhibits non-monotonic flows, its value always than case flow, transition ternary binary breakup, distinct one Finally, increasing decrease change mode breakup.