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超声行波驱动的玻璃表面液滴运动数值模拟

丘华川 姜立标

丘华川, 姜立标. 超声行波驱动的玻璃表面液滴运动数值模拟[J]. 北京航空航天大学学报, 2017, 43(5): 908-917. doi: 10.13700/j.bh.1001-5965.2016.0395
引用本文: 丘华川, 姜立标. 超声行波驱动的玻璃表面液滴运动数值模拟[J]. 北京航空航天大学学报, 2017, 43(5): 908-917. doi: 10.13700/j.bh.1001-5965.2016.0395
QIU Huachuan, JIANG Libiao. Numerical simulation of droplet motion on glass surface driven by ultrasonic travelling wave[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(5): 908-917. doi: 10.13700/j.bh.1001-5965.2016.0395(in Chinese)
Citation: QIU Huachuan, JIANG Libiao. Numerical simulation of droplet motion on glass surface driven by ultrasonic travelling wave[J]. Journal of Beijing University of Aeronautics and Astronautics, 2017, 43(5): 908-917. doi: 10.13700/j.bh.1001-5965.2016.0395(in Chinese)

超声行波驱动的玻璃表面液滴运动数值模拟

doi: 10.13700/j.bh.1001-5965.2016.0395
基金项目: 

国家自然科学基金 51275175

广东省自然科学基金 2014A030313254

详细信息
    作者简介:

    丘华川, 男, 硕士研究生。主要研究方向:汽车前风挡玻璃超声振动除水

    姜立标, 男, 博士, 副教授。主要研究方向:汽车前风挡玻璃超声振动除水、车辆系统动力学与电子控制

    通讯作者:

    姜立标, E-mail:jlb@scut.edu.cn

  • 中图分类号: O359;TB552;O323

Numerical simulation of droplet motion on glass surface driven by ultrasonic travelling wave

Funds: 

National Natural Science Foundation of China 51275175

Natural Science Foundation of Guangdong Province 2014A030313254

More Information
  • 摘要:

    针对液滴铺展和移动的动力学行为在工业生产和微流控芯片等领域有着重要作用,提出了一种基于超声行波理论的弹性体平板驱动模型,利用压电陶瓷的逆压电效应在弹性体玻璃产生超声行波从而驱动液滴运动。借助多物理场软件COMSOL建立液滴模型,首先进行行波分析,验证了驱动液滴的可行性。在0~60 ms中,液滴在超声行波的驱动下进行收缩-铺展的正弦振荡运动。然后通过液滴内部流场结构分析发现,当液滴半径铺展到最大后开始收缩时,液滴与基底接触面处的速度首先发生变化,表明液滴内部速度场的变化对接触线是否发生移动有着重要作用。液滴内部流场存在一个类似于椭圆形的漩涡,说明液滴运动不是单纯由于收缩-铺展而引起的平动,而是滚动着朝前运动。最后分别探讨了液滴移动速度与驱动电压、驱动频率以及动力黏度的关系,结果表明液滴移动速度受动力黏度影响较为显著。

     

  • 图 1  液滴在水平固体表面上的接触角与表面张力

    Figure 1.  Contact angle and surface tensions of a droplet on horizontal solid surface

    图 2  弹性体平板模型产生超声行波

    Figure 2.  Elastic planar model used to generate ultrasonic travelling wave

    图 3  产生超声行波的结构简图

    Figure 3.  Structure diagram of generating ultrasonic travelling wave

    图 4  质点的椭圆运动轨迹

    Figure 4.  Elliptical motion trail of particle

    图 5  行波瞬时状态

    Figure 5.  Transient state of travelling wave

    图 6  添加域点探针

    Figure 6.  Adding domain point probe

    图 7  液滴内部两点沿x方向的速度

    Figure 7.  Velocity of two points inside droplet along x direction

    图 8  不同时刻下的液滴运动状态

    Figure 8.  Droplet motion state at different moments

    图 9  不同时刻下液滴的流场

    Figure 9.  Flow field of droplet at different moments

    图 10  液滴流线图(t=5s)

    Figure 10.  Streamline of droplet (t=5s)

    图 11  液滴移动速度随驱动电压的变化

    Figure 11.  Variation of droplet moving velocity with driving voltage

    图 12  液滴移动速度随驱动频率的变化

    Figure 12.  Variation of droplet moving velocity with driving frequency

    图 13  压电振子的阻抗频率响应曲线

    Figure 13.  Impedance frequency response curve of piezoelectric vibrator

    图 14  液滴移动速度随动力黏度的变化

    Figure 14.  Variation of moving velocity of droplet with dynamic viscosity

    图 15  液滴运动实验结果

    Figure 15.  Experimental results of droplet motion

    表  1  几何模型的结构参数

    Table  1.   Structure parameters of geometric model

    类型 长度/mm 厚度/mm
    玻璃平板 150 3
    压电陶瓷 5π/4 1
    下载: 导出CSV

    表  2  玻璃的材料参数

    Table  2.   Material parameters of glass

    参数 弹性模量/Pa 密度/(kg·m-3) 泊松比
    数值 7×1010 2 210 0.24
    下载: 导出CSV

    表  3  质点的瞬时位移

    Table  3.   Instantaneous displacement of particle

    时间/ms x方向位移/nm z方向位移/nm
    30.085880 3.654254 35.945566
    30.086332 37.307580 42.905864
    30.086784 56.858371 35.665642
    30.087236 55.340976 17.141958
    30.087688 33.690540 -5.537054
    30.088140 0.086644 -24.081458
    30.088592 -33.196754 -32.023728
    30.089044 -54.042325 -26.239285
    30.089496 -54.650676 -7.623552
    30.089948 -34.476498 18.330271
    30.090400 -0.687655 42.223590
    下载: 导出CSV
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出版历程
  • 收稿日期:  2016-05-11
  • 录用日期:  2016-08-10
  • 网络出版日期:  2017-05-20

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