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液滴冲击过程动态接触角模型研究

王翔宇 柯鹏 杜锋

王翔宇, 柯鹏, 杜锋. 液滴冲击过程动态接触角模型研究[J]. 应用数学和力学, 2024, 45(9): 1133-1146. doi: 10.21656/1000-0887.440282
引用本文: 王翔宇, 柯鹏, 杜锋. 液滴冲击过程动态接触角模型研究[J]. 应用数学和力学, 2024, 45(9): 1133-1146. doi: 10.21656/1000-0887.440282
WANG Xiangyu, KE Peng, DU Feng. Research on the Dynamic Contact Angle Model for the Droplet Impact Process[J]. Applied Mathematics and Mechanics, 2024, 45(9): 1133-1146. doi: 10.21656/1000-0887.440282
Citation: WANG Xiangyu, KE Peng, DU Feng. Research on the Dynamic Contact Angle Model for the Droplet Impact Process[J]. Applied Mathematics and Mechanics, 2024, 45(9): 1133-1146. doi: 10.21656/1000-0887.440282

液滴冲击过程动态接触角模型研究

doi: 10.21656/1000-0887.440282
基金项目: 

国家自然科学基金 12372095

详细信息
    作者简介:

    王翔宇(1999—),男,硕士生(E-mail: zy2213412@buaa.edu.cn)

    通讯作者:

    杜锋(1987—),男,副教授,博士(通讯作者. E-mail: fengdu@buaa.edu.cn)

  • 中图分类号: O359+.1

Research on the Dynamic Contact Angle Model for the Droplet Impact Process

  • 摘要: 基于计算流体力学(CFD)模拟液滴冲击壁面,对于理解液滴在固体壁面铺展的动力学行为有重要的意义,可以为超疏水结构设计及防除冰涂层开发提供技术支撑,其中的难点在于如何在模型中准确刻画接触线及动态接触角的演化过程. 总结了四种典型的动态接触角模型,从理论上分析了其应用范围,借助FLUENT中的UDF功能,将动态接触角模型应用于壁面边界条件. 首先对液滴冲击光滑壁面的动力学过程进行了数值模拟研究,通过定量分析液滴形态的各项参数变化并与实验结果对比表明,Seebergh动态接触角模型更适用于模拟低毛细数下液滴的运动,Kistler模型与Jiang模型应用范围更广并且可以较准确地描述高毛细数下液滴的运动. 随后基于Kistler动态接触角模型,对液滴在微结构表面的冲击与铺展过程进行了仿真研究,发现应用动态接触角模型会导致液滴内部流场在表面张力起主导作用的阶段内发生变化,并且在平衡状态下液滴接触角的模拟值与理论值相近.
  • 图  1  不同平衡接触角下CaθD的对应关系

      为了解释图中的颜色,读者可以参考本文的电子网页版本,后同.

    Figure  1.  The relationships between Ca and θD under different equilibrium contact angles

    图  2  物理模型及网格示意图

    Figure  2.  The physical model and the grid

    图  3  在工况1中采用Kistler模型模拟所得结果与实验对比

    Figure  3.  Comparison between simulation results and experiments in condition 1 with the Kistler model

    图  4  工况1中D/D0H/D0随时间变化曲线

    Figure  4.  The variations of D/D0 and H/D0 with time in condition 1

    图  5  工况3中D/D0H/D0随时间变化曲线

    Figure  5.  The variations of D/D0 and H/D0 with time in condition 3

    图  6  工况4中D/D0H/D0随时间变化曲线

    Figure  6.  The variations of D/D0 and H/D0 with time in condition 4

    图  7  四种模型在工况3、4、5中模拟所得D/D0H/D0随时间变化曲线

    Figure  7.  The time variations of D/D0 and H/D0 simulated with 4 models in conditions 3, 4 and 5

    图  8  采用Kistler模型与Jiang模型在工况2、6、7中模拟所得接触角随时间变化曲线

    Figure  8.  The temperal variations of contact angles simulated with the Kistler and Jiang models in conditions 2, 6 and 7

    图  9  采用Kistler模型与Jiang模型在工况6中模拟所得D/D0H/D0随时间变化曲线

    Figure  9.  The temperal variations of D/D0 and H/D0 simulated with the Kistler and Jiang models in condition 6

    图  10  环形槽状微结构仿真模型与平衡接触角测量值

    Figure  10.  The physical model for the annular groove microstructure and the measurement of the equilibrium contact angle

    图  11  应用Kistler动态接触角模型计算工况8液滴冲击过程内部流场云图

    Figure  11.  Internal flow field contours of the droplet impact process in condition 8 with the Kistler model

    图  12  静态与动态接触角模型局部涡流对比

    Figure  12.  Comparison of local eddy currents between static and dynamic contact angle models

    图  13  降低We数后静态与动态接触角模型局部涡流对比

    Figure  13.  Comparison of local eddy currents between static and dynamic contact angle models with a lower We number

    图  14  降低本征接触角后静态与动态接触角模型局部涡流对比

    Figure  14.  Comparison of local eddy currents between static and dynamic contact angle models with a lower θY value

    图  15  三维方柱微结构仿真模型与多面体网格

    Figure  15.  The 3-D square column microstructure simulation model with polyhedral meshes

    图  16  液滴发生煎饼弹跳过程与实验对比

    Figure  16.  Comparison of the pancake bouncing processes of the droplet between the simulation and the experiment

    图  17  文献[25]实验工况下D/D0H/D0计算结果

    Figure  17.  Calculations of D/D0 and H/D0 under experimental conditions in ref. [25]

    图  18  4 ms与7.5 ms时液滴轮廓及内部流场

    Figure  18.  Droplet profiles and internal flow fields at 4 ms and 7.5 ms

    表  1  计算工况

    Table  1.   Calculation conditions

    condition wall liquid diameter D0/mm impact velocity v/(m/s) contact angle θ/(°) We Re Ca
    1 plane water 2.45 1.64 105,95 90.0 4 010 0.023
    2 glycerol 2.45 1.41 97,90 94.0 36 2.590
    3 water 2.47 0.21 63.4 1.5 523 0.003
    4 water 2.47 0.21 100 1.5 523 0.003
    5 water 2.47 0.21 160 1.5 523 0.003
    6 glycerol 2.45 1.41 17,13 94.0 36 2.590
    7 glycerol 2.45 1.41 160 94.0 36 2.590
    8 micro structure water 2.00 1.00 165,155 27.0 2 000 0.014
    8 water 2.00 0.50 165,155 13.5 1 000 0.007
    10 water 2.00 1.00 95,85 27.0 2 000 0.014
    11 water 2.90 0.34 165,155 4.7 984 0.005
    下载: 导出CSV
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  • 收稿日期:  2023-09-20
  • 修回日期:  2024-06-20
  • 刊出日期:  2024-09-01

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