Abstract
The contact angle (CA) measurements are generally performed on a large planar surface of a specific substrate with the width larger than the droplet size. In this study, the contact angle hysteresis on a narrow rectangular plane with a width smaller than the droplet size is experimentally studied through the inflation–deflation process by the needle–syringe method. The inflation process by stepwise addition of the liquid to the droplet leads to the contact line advancing outwardly along the major axis with advancing angle (θa). Although the droplet width is constrained by the edge of the plane, the CA along the minor axis (θw) increases and its value is greater than θa (θw > θa). Deflation process by stepwise withdrawal of liquid from the droplet results in the contact line retracting inwardly along the major axis as the CA reduces to receding angle (θr). In the meantime, the CA along the minor axis decreases as well. Both advancing and receding angles acquired from the narrow rectangular plane are confirmed with those obtained form the typical large surface of acrylic glass. On the basis of free energy minimization and liquid-induced defects model, Surface Evolver simulations are performed to reproduce the behavior of droplet on the narrow rectangular plane during the inflation–deflation process. The results of experiment and simulation agree with each other very well.
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References
Young T (1805) An essay on the cohesion of fluids. Philos Trans R Soc Lond 95:65–87
de Gennes PG, Brochard-Wyart F, Quéré D (2004) Capillarity and wetting phenomena, drops, bubbles, pearls, waves. Springer, New York
Chang FM, Hong SJ, Sheng YJ, Tsao HK (2009) High contact angle hysteresis of superhydrophobic surfaces: hydrophobic defects. Appl Phys Lett 95:064102
Bormashenko E, Bormashenko Y, Whyman G, Pogreb R, Musin A, Jager R, Barkay Z (2008) Contact angle hysteresis on polymer substrates established with various experimental techniques, its interpretation, and quantitative characterization. Langmuir 24:4020–4025
Hong SJ, Chang FM, Chou TH, Chan SH, Sheng YJ, Tsao HK (2011) Anomalous contact angle hysteresis of a captive bubble: advancing contact line pinning. Langmuir 27:6890–6896
Shanahan MER (1995) Simple theory of “stick–slip” wetting hysteresis. Langmuir 11:1041–1043
Erbil HY, McHale G, Rowan SM, Newton MI (1999) Determination of the receding contact angle of sessile drops on polymer surfaces by evaporation. Langmuir 15:7378–7385
Bourgès-Monnier C, Shanahan MER (1995) Influence of evaporation on contact angle. Langmuir 11:2820–2829
Tavana H, Yang G, Yip C, Appelhans D, Zschoche S, Grundke K, Hair ML, Neumann AW (2006) Stick–slip of the three-phase line in measurements of dynamic contact angles. Langmuir 22:628–636
Good RJ (1993) In: Mittal KL (eds) Contact angle, wettability and adhesion. Utrecht, The Netherlands
Erbil HY (1997) In: Birdi KS (ed) Handbook of surface and colloid chemistry. CRC, Boca Raton
Extrand CW, Kumagai Y (1997) An experimental study of contact angle hysteresis. J Colloid Interface Sci 191:378–383
Wolfram E, Faust R (1978) In: Padday JF (ed) Wetting, spreading and adhesion. Academic, London
Rotenberg Y, Boruvka L, Neumann AW (1984) The shape of nonaxisymmetric drops on inclined planar surfaces. J Colloid Interface Sci 102:424–434
Extrand CW, Kumagai Y (1995) Liquid drops on an inclined plane: the relation between contact angles, drop shape, and retentive force. J Colloid Interface Sci 170:515–521
Penn LS, Miller B (1980) A study of the primary cause of contact angle hysteresis on some polymeric solids. J Colloid Interface Sci 78:238–241
Neumann AW, Spelt JK (eds) (1996) In: Applied surface thermodynamics. Marcel Dekker, New York
Eriksson LGT (1997) The effect of evaporation on Wilhelmy-type measurements of wetting eension: is wetting equilibrium reached for cationic surfactant adsorption on mica? J Colloid Interface Sci 191:264–267
Joanny JF, de Gennes PG (1984) A model for contact angle hysteresis. J Chem Phys 81:552–562
Chou TH, Hong SJ, Sheng YJ, Tsao HK (2010) Wetting behavior of a drop atop holes. J Phys Chem B 114:7509–7515
Brakke KA (1992) The surface evolver. Exp Math 1:141–165
Chou TH, Hong SJ, Liang YE, Tsao HK, Sheng YJ (2011) Equilibrium phase diagram of drop-on-fiber: coexistent states and gravity effect. Langmuir 27:3685–3692
Chang FM, Hong SJ, Sheng YJ, Tsao HK (2010) Wetting invasion and retreat across a corner boundary. J Phys Chem C 114:1615–1621
Chang FM, Sheng YJ, Tsao HK (2009) Superhydrophobic floatability of a hydrophilic subject driven by edge effect. Appl Phys Lett 95:204107
Starov VM, Velarde MG (2009) Surface forces and wetting phenomena. J Phys Condens Matter 21:464121
Extrand CW (2003) Contact angles and hysteresis on surfaces with chemically heterogeneous islands. Langmuir 19:3793–3796
Israelachvili NJ (1985) Intermolecular and surface forces. Academic, New York
Py C, Reverdy P, Doppler L, Bico J, Roman B, Baroud CN (2007) Capillary origami: spontaneous wrapping of a droplet with an elastic sheet. Phys Rev Lett 98:156103
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This research was financially supported by the NCU/ITRI Joint Research Center and National Science Council of Taiwan.
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This article is part of the Topical Collection on Contact Angle Hysteresis.
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Hong, SJ., Chou, TH., Liu, YY. et al. Advancing and receding wetting behavior of a droplet on a narrow rectangular plane. Colloid Polym Sci 291, 347–353 (2013). https://doi.org/10.1007/s00396-012-2797-5
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DOI: https://doi.org/10.1007/s00396-012-2797-5