双液滴在具有润湿梯度的斜面顶端融合弹跳的LBM模拟

doi:10.19596/j.cnki.1001-246x.8607

摘要/Abstract

摘要：

基于格子Boltzmann方法，对液滴在具有润湿梯度的斜面顶端融合弹跳的过程进行模拟。研究润湿梯度、斜面顶端润湿性、液滴尺寸和Bond数对液滴融合弹跳过程的影响。计算结果表明：在较疏水的润湿梯度斜面上，两个液滴在非平衡张力作用下融合后能够发生弹跳行为；液滴融合速度和跳跃高度最大值均随着润湿梯度的增大而增加；随着斜面顶端润湿性的增大，液滴跳跃高度最大值减小；存在一个最佳液滴尺寸，使得跳跃高度最大值最优。Bond数越大，液滴跳跃高度最大值越小。

关键词: 格子Boltzmann方法, 液滴, 融合弹跳, 润湿梯度, 跳跃高度

Abstract:

Based on lattice Boltzmann method(LBM), the process of droplets merging and bouncing at the top of inclined plane with wetting gradient was simulated. The effects of wetting gradient, wettability at the top of inclined plane, droplet size and Bond number on droplet merging and bouncing process were investigated. The calculation results show that the two droplets can bounce when merged under the action of non-equilibrium tension on a hydrophobic gradient slope. Both the droplet fusion velocity and the maximum jump height increase with the increase of wetting gradient. The maximum droplet jump height decreases with the increase of the wettability of the inclined surface. There is an optimal droplet size that optimizes the maximum jump height. The larger the Bond number, the smaller the maximum droplet jump height.

Key words: lattice Boltzmann method, droplets, merging bounce, wetting gradient, jumping height

高明, 陈露, 梁佳, 王东民, 赵玉刚, 章立新, 孙泉, 李昊杰. 双液滴在具有润湿梯度的斜面顶端融合弹跳的LBM模拟[J]. 计算物理, 2023, 40(3): 333-342.

Ming GAO, Lu CHEN, Jia LIANG, Dongmin WANG, Yugang ZHAO, Lixin ZHANG, Quan SUN, Haojie LI. LBM Simulation of Two Droplets Merging and Bouncing at the Top of an Inclined Plane with a Wetting Gradient[J]. Chinese Journal of Computational Physics, 2023, 40(3): 333-342.

图/表 11

图1 Young-Laplace定律验证

Fig.1 Young-Laplace law verification

图2 流固作用系数与接触角的关系

Fig.2 Relationship between fluid-solid interaction coefficient and contact angle

图3 弹跳高度模拟结果对比

Fig.3 Comparison of simulation results of bounce height

图4 物理模型

Fig.4 Physical model

图5 不同润湿梯度下双液滴在斜面顶端融合弹跳的过程

Fig.5 Process of two droplets merging and bouncing at the top of inclined plane under different wetting gradients

图6 不同润湿梯度下液滴弹跳高度随时间的变化(r=20 lu，Bo=0.0146，θst=124.2°)

Fig.6 Change of droplet bounce height with time under different wetting gradients (r=20 lu, Bo=0.0146, θst=124.2°)

图7 不同斜面顶端接触角下双液滴融合弹跳的过程

Fig.7 Process of two droplets merging and bouncing at different contact angles at the top of inclined plane

图8 不同斜面顶端接触角下液滴弹跳高度随时间的变化(r=20 lu，Bo=0.0146，Δθg=6.5°/14 lu)

Fig.8 Change of droplet bounce height with time at different contact angles at the top of inclined plane (r=20 lu, Bo=0.0146, Δθg=6.5°/14 lu)

图9 不同斜面顶端接触角下液滴运动的速度场(r=20 lu，Bo=0.0146，Δθg=6.5°/14 lu)

Fig.9 Velocity field of droplet movement at different contact angles at the top of inclined plane (r=20 lu, Bo=0.0146, Δθg=6.5°/14 lu)

图10 不同尺寸液滴弹跳高度随时间的变化

Fig.10 Change of droplet bounce height with time at different size

图11 不同Bond数下液滴弹跳高度随时间的变化

Fig.11 Change of droplet bounce height with time under different Bond numbers

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