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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.
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Keywords:
- superhydrophobic surface /
- forced vibration /
- resonance /
- contact line
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[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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[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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