Volume 44 Issue 3
Mar.  2023
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YAN Yu, LOU Qin, CHEN Jiahao. Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis[J]. Applied Mathematics and Mechanics, 2023, 44(3): 304-318. doi: 10.21656/1000-0887.430165
Citation: YAN Yu, LOU Qin, CHEN Jiahao. Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis[J]. Applied Mathematics and Mechanics, 2023, 44(3): 304-318. doi: 10.21656/1000-0887.430165

Lattice Boltzmann Study on the Motion of Dual Droplets in Microchannels With Contact Angle Hysteresis

doi: 10.21656/1000-0887.430165
  • Received Date: 2022-05-16
  • Rev Recd Date: 2022-08-17
  • Available Online: 2023-03-07
  • Publish Date: 2023-03-15
  • The contact angle hysteresis is defined as the difference between the advancing and receding contact angles, and is an important phenomenon in the two-phase flow on the wet surface. An improved pseudo-potential lattice Boltzmann (LB) multiphase flow model, combined with geometric wetting boundary condition, was employed to study the motion behavior of dual droplets in microchannels with contact angle hysteresis. The effects of the capillary number, the wettability, the contact angle hysteresis window width, the initial distance between the two droplets and the relative size of the droplets on the dynamic behavior of the droplets in the microchannel, were investigated. The research results show that, the increase of the capillary number is conducive to the movement of droplets, but not conducive to the discharge of droplets from the microchannel, and the influence of the capillary number on the upstream droplet is greater than that on the downstream droplet. On the other hand, the larger the contact angle hysteresis window is, the slower the droplet motion and deformation will be, but the more obvious the deformation will be, and the earlier the two droplets will merge but the later they will discharge from the microchannel. In addition, with the increase of the initial distance between the two droplets, the droplet motion mode will differ among different stages, but the duration of the droplet discharge will extend. Correspondingly, the larger the relative size difference between upstream and downstream droplets is, the more difficultly the droplets will discharge from the microchannel.

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