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微液滴在超疏水表面的受迫振动及其接触线的固着-移动转变

周建臣 耿兴国 林可君 张永建 臧渡洋

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微液滴在超疏水表面的受迫振动及其接触线的固着-移动转变

周建臣, 耿兴国, 林可君, 张永建, 臧渡洋

Stick-slip transition of a water droplet vibrated on a superhydrophobic surface

Zhou Jian-Chen, Geng Xing-Guo, Lin Ke-Jun, Zhang Yong-Jian, Zang Du-Yang
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  • 利用高速摄影技术对超疏水表面液滴振动的动态行为进行观测,研究液滴在不同频率下的振动特性. 实验发现,液滴的共振频率满足Rayleigh方程,微液滴在超疏水表面具有自由液滴的振动性质. 在80–200 Hz的驱动频率范围内,接触线出现了明显的固着-移动现象,液滴的振动频率是驱动频率的一半,液滴振动时的形变较大. 当驱动频率大于200 Hz时,接触线基本固着,液滴的振动频率近似等于驱动频率,液滴共振时的形态边缘始终有节点存在. 分析表明,液滴对外界驱动的不同响应与接触线的振荡行为和变形程度密切相关
    We have studied the vibration behavior of a water droplet vibrated on a superhydrophobic surface via a high-speed camera. The resonance frequencies of the droplet satisfy the Rayleigh equation, suggesting that the droplet on a superhydrophobic surface can be regarded as a free droplet. Its real oscillation frequency is half of the driving frequency when it is vibrated at low frequencies(<200 Hz). It shows large shape deformation from a compressed puddle to a stretched spheroid. The three-phase contact line exhibits a stick-slip behavior. However, when the droplet is vibrated at frequencies greater than 200 Hz, the three-phase contact line is pinned to the substrate and the droplet is vibrated at the same frequencies as the external driving frequencies. It is found that the oscillation of the contact line and the large shape deformation of the droplet are responsible for the distinct behavior at low frequency.
    • 基金项目: 国家自然科学基金(批准号:51301139)、教育部博士点新教师基金(批准号:20126102120058)、陕西省自然科学基金(批准号:2012JQ1016)和西北工业大学基础研究基金(批准号:JCY20130147)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 51301139), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20126102120058), the Shaanxi Provincial Natural Science Foundation, China (Grant No. 2012JQ1016), and the NPU Foundation for Fundamental Research, China (Grant No. JCY20130147).
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    Ramos S M M 2008 Nucl. Instr. and Meth. in Phys. Res. B 266 3143

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    Celestini F, Kofman R 2006 Phys. Rev. E 73 041602

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    Whitehill J, Neild A, Ng T W, Stokes M 2010 Appl. Phys. Lett. 96 053501

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    Zang D Y, Li F, Geng X G, Lin K J, Clegg P S 2013 Eur. Phys. J. E 36 59

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  • [1]

    Vukasinovic B, Smith M K, A. Glazer 2004 Phys. Fluids. 16 306

    [2]

    Singhal V, Garimella S V, Raman A 2004 Appl Mech Rev. 57 191

    [3]

    Nisisako T, Torri T 2007 Advanced Materials. 19 1489

    [4]

    Mukherjee S, Johnson W L, Rhim W K 2005 Appl. Phys. Lett. 86 014104

    [5]

    Rayleigh J 1879 Proc. R. Soc, London. 29 71

    [6]

    Lamb H 1932 Hydrodynamics (London: Cambridge Univesity)

    [7]

    Ko S H, Lee S J, Kang K H 2009 Appl. Phys. Lett. 94 194102

    [8]

    Shao X P, Xie W J 2012 Acta Phys. Sin. 61 134302 (in Chinese) [邵学鹏, 解文军 2012 物理学报 61 134302]

    [9]

    Beard K V 1984 J. Atmos. Sci. 41 1765

    [10]

    Wilkes E D, Basaran O A 1997 Phys. Fluids. 9 1512

    [11]

    Strani M, Sabetta F 1984 J. Fluid Mech. 141 174

    [12]

    SmithwickIII R W, Boulet J A M 1989 J. Colloid Interface Sci. 130 588

    [13]

    Min J C 2002 Acta Phys. Sin. 51 2730 (in Chinese) [闵敬春 2002 物理学报 51 2730]

    [14]

    Vukasinovic B, SmithM K, Glezer A 2007 J. Fluid Mech. 587 395

    [15]

    Guo J H, Dai S Q, Dai Q 2010 Acta Phys. Sin. 59 2601 (in Chinese) [郭加宏, 戴世强, 代钦 2010 物理学报 59 2601]

    [16]

    Li X Y 2010 Ph. D. Dissertation (Dalian: Dalian University of Technology) (in Chinese) [李西营 2010 博士学位论文(大连: 大连理工大学)]

    [17]

    Mettu S, Chauhury M K 2010 Langmuir. 26 8131

    [18]

    Liu J, Zheng K H, Liu Z, H L J, Sun L F 2010 Chin. Phys. B 19 066101

    [19]

    Liu T Q, Sun W, Li X Q, SunX Y, Ai H R 2012 Soft Matter. 20 366

    [20]

    Jiang C G, Shi L T, Wu C W 2012 Chin. Sci. Bull. 57 2264

    [21]

    Xu L, Barcos L, Nagel S R 2007 Phys. Rev. E 76 066311

    [22]

    Baudoin M, Brunet P, Matar O B, Herth E 2012 Appl. Phys. Lett. 100 154102

    [23]

    Hu H B, Huang S H, Chen L B 2013 Chin. Phys. B 22 084702

    [24]

    Hocking L M 1987 J. Fluid Mech. 179 267

    [25]

    Ting C L, Perlin M 1995 J. Fluid Mech. 295 263

    [26]

    Lyubimov D V, Lyubimova T P, Shklyaev S V 2006 Phys. Fluids. 18 012101

    [27]

    Noblin X, Buguin A, Brochard-Wyart F 2004 Eur. Phys. J. E. 14 395

    [28]

    Noblin X, Buguin A, Brochard-Wyart F 2009 Eur. Phys. J. E 166 7

    [29]

    Ramos S M M 2008 Nucl. Instr. and Meth. in Phys. Res. B 266 3143

    [30]

    Celestini F, Kofman R 2006 Phys. Rev. E 73 041602

    [31]

    Whitehill J, Neild A, Ng T W, Stokes M 2010 Appl. Phys. Lett. 96 053501

    [32]

    Zang D Y, Li F, Geng X G, Lin K J, Clegg P S 2013 Eur. Phys. J. E 36 59

    [33]

    McHale G, Elliott S J, Newton M I, Herbertson D L, Esmer K 2009 Langmuir. 25 529

    [34]

    Wang X D, Peng X F, Li D Z 2003 Sci. China. E 33 625 (in Chinese) [王晓东, 彭晓峰, 李笃中 2003 中国科学 33 625]

    [35]

    Clanet C, Béguin C, Richard D, Quéré D 2004 J. Fluid Mech. 517 199

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出版历程
  • 收稿日期:  2014-04-22
  • 修回日期:  2014-06-09
  • 刊出日期:  2014-11-05

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