We simulate gravity driven dynamics of partially wetting droplets moving along a fibre using the lattice Boltzmann method. For the so-called clamshell morphology, we find three possible dynamic regimes upon varying the droplet Bond number and the fibre radius: compact droplet, droplet breakup and droplet oscillation. For small Bond numbers, in the compact droplet regime, the droplet reaches a steady state and its velocity scales linearly with the driving body force. A similar scaling law can also be observed for the barrel morphology. For higher Bond numbers, in the droplet breakup regime, satellite droplets are formed trailing the initial moving droplet. We find such droplet satellite formation is easier with increasing fibre curvature (smaller fibre radius). Finally, in the droplet oscillation regime, favoured in the mid-range of fibre radius, the droplet shape periodically extends and contracts along the fibre.

中文翻译：

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模拟纤维上部分润湿液滴的动力学

我们使用格子玻尔兹曼方法模拟部分润湿液滴沿纤维移动的重力驱动动力学。对于所谓的蛤壳形形态，我们发现改变液滴键数和纤维半径的三种可能的动态状态：致密液滴、液滴破裂和液滴振荡。对于小键数，在致密液滴状态下，液滴达到稳定状态，其速度与驱动体力成线性关系。对于桶形形态，也可以观察到类似的比例定律。对于更高的键数，在液滴破碎状态下，卫星液滴在初始移动液滴之后形成。我们发现随着纤维曲率的增加（更小的纤维半径），这种液滴卫星的形成更容易。最后，在液滴振荡状态下，在纤维半径的中间范围内受到青睐，