Volume 43 Issue 3
Mar.  2022
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LIU Hao, LOU Qin, HUANG Yifan. Study of Movement Mechanisms of Droplets in Power-Law Fluids in T-Junction Microchannels With the Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2022, 43(3): 255-271. doi: 10.21656/1000-0887.420182
Citation: LIU Hao, LOU Qin, HUANG Yifan. Study of Movement Mechanisms of Droplets in Power-Law Fluids in T-Junction Microchannels With the Lattice Boltzmann Method[J]. Applied Mathematics and Mechanics, 2022, 43(3): 255-271. doi: 10.21656/1000-0887.420182

Study of Movement Mechanisms of Droplets in Power-Law Fluids in T-Junction Microchannels With the Lattice Boltzmann Method

doi: 10.21656/1000-0887.420182
  • Received Date: 2021-07-01
  • Accepted Date: 2021-07-01
  • Rev Recd Date: 2021-07-29
  • Available Online: 2022-02-10
  • Publish Date: 2022-03-08
  • The movement mechanisms of Newtonian droplets in power-law fluids in T-junction microchannels were studied with the lattice Boltzmann method. The effects of power-law index n , capillary number Ca , flow ratio Q , viscosity ratio M, and surface wettability θ on the droplet formation size, the formation time and the deformation index (DI) were investigated in detail. The results show that, first, with the increase of power-law index n from 0.4 to 1.6, the droplet formation size decreases almost linearly, and both the droplet formation time and the deformation index decrease quickly at first and then much more slowly. Second, the influences of the viscosity ratio on the droplet formation size, the formation time and the deformation index are basically the same as those of the power law index. In addition, with the increases of Ca and θ of the main channel, the droplet formation size decreases almost linearly, while the droplet formation time and deformation index decrease rapidly at first and then slowly, and the decreasing rates weaken with the increase of the power-law index. At last, with the increase of flow ratio Q of the continuous phase over the dispersed phase, the droplet formation size increases, and the droplet formation time as well as the deformation index decrease.

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