Rotational separations in binary droplet collision are simulated using the improved lattice Boltzmann method for incompressible two-phase flows. Firstly, a couple of interpolation methods for the fluid density and viscosity in gas-liquid interfaces are examined, and the linear interpolation for the density and the harmonic interpolation for the viscosity are applied to the simulations of rotational separation. The calculated results are classified into three types of collision, i.e., coalescence, stretching separation and rotational separation in the We'-B diagram, where We' is the effective Weber number defined by using the calculated relative velocity immediately before the collision and B is the impact parameter. It is found that the rotational separation is observed in the region around B=0.4 for 20<We'<30. Secondly, the coalesced droplet length after collision is investigated, and time evolutions of the length are calculated for the rotational separations. The results indicate that the rotational separation may have different mechanism from that of the stretching separation. Thirdly, colored tracer particles are calculated to investigate the flow characteristics inside the droplets, and it is found that each droplet after rotational separation includes some of the other droplet. This outcome is more significant in the case of B=0.46 than B=0.42. Finally, the mixing intensity is defined to investigate the mixing of the droplets. The results showed that the droplets in the case of B=0.42 are more mixed than the case of B=0.46, because the contact surface area in the former case is larger than that in the latter case.
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