Simulation and Experiments on the Capillary Force between a Circular Disk and a Parallel Substrate
Le-Feng Wang, Ben-Song Huang, Yuan-Zhe He, Wei-Bin Rong** , Li-Ning Sun
State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin 150080
Abstract ：The capillary force of a liquid bridge with a pinned contact line between a small disk and a parallel plate is investigated by simulation and experiments. The numerical minimization simulation method is utilized to calculate the capillary force. The results show excellent agreement with the Young–Laplace equation method. An experimental setup is built to measure the capillary force. The experimental results indicate that the simulation results agree well with the measured forces at large separation distances, while some deviation may occur due to the transition from the advancing contact angle to the receding one at small distances. It is also found that the measured rupture distance is slightly larger than the simulation value due to the effect of the viscous interaction inside the liquid bridge.
收稿日期: 2017-01-03
出版日期: 2017-04-29
:
68.03.Cd
(Surface tension and related phenomena)
68.08.-p
(Liquid-solid interfaces)
47.55.dr
(Interactions with surfaces)
[1] Young T 1805 Philos. Trans. R. Soc. 95 65 [2] Fisher R 1926 J. Agric. Sci. 16 492 [3] Butt H J and Kappl M 2009 Adv. Colloid Interface Sci. 146 48 [4] Tabor R F, Grieser F, Dagastine R R and Chan D Y 2012 J. Colloid Interface Sci. 371 1 [5] Dasgupta S, Katava M, Faraj M, Auth T and Gompper G 2014 Langmuir 30 11873 [6] Fan Z H, Wang L F, Rong W B and Sun L N 2015 Appl. Phys. Lett. 106 084105 [7] Chen J G, Wang C L, Wei N, Wan R Z and Gao Y 2016 Nanoscale 8 5676 [8] Yoxall B E, Chan M L, Harake R S, Pan T and Horsley D A 2012 J. Microelectromech. S. 21 721 [9] Takei A, Matsumoto K and Shomoyama I 2010 Lab Chip 10 1781 [10] Labonte D and Federle W 2014 Philos. Trans. R. Soc.B 370 20140027 [11] Autumn K, Niewiarowski and Puthoff J B 2014 Annu. Rev. Ecol. Evol. Syst. 45 445 [12] Willett C D, Adams M J, Johnson S A and Seville J P K 2000 Langmuir 16 9396 [13] Wang L F, Rong W B, Sun L N, Chen L G and Shao B 2009 Chin. Phys. Lett. 26 126801 [14] Zheng W and Zhao Y P 2004 Chin. Phys. Lett. 21 616 [15] Lambert P and Delchambre A 2005 Langmuir 21 9537 [16] Rabinovich Y I, Esayanur M S and Moudgil B M 2005 Langmuir 21 10992 [17] Carter W C 1988 Acta Metall. 36 2283 [18] Fortes M A 1982 J. Colloid Interface Sci. 88 338 [19] De Souza E J, Brinkmann M, Mohrdieck C, Crosby A and Arzt E 2008 Langmuir 24 10161 [20] Qian J and Gao H 2006 Acta Biomater. 2 51 [21] Qian B and Breuer K S 2011 J. Fluid Mech. 666 554 [22] Zhang X, Padgett R S and Basaran O A 1996 J. Fluid Mech. 329 207 [23] Yuan Q Z, Huang X F and Zhao Y P 2014 Phys. Fluids 26 092104
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
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2017, Vol. 34 
