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Study of the wetting characteristics of water droplet on a heterogeneous pillared surface

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Abstract

We investigated the wetting characteristics of a water droplet on a heterogeneous pillared surface at the nano-scale including contact angle, molecule inflow percentage and density fields and compared them with the wetting characteristics of a water droplet on a homogeneous pillared surface. Molecular dynamics simulations were employed to analyze the wetting behavior of water droplets on surfaces with pillar structures by considering different potential energies including bond, angle, Lennard-Jones and Coulomb to calculate the interacting forces between water molecules and the surface. The heterogeneous surfaces considered had pillars with a different surface energy than the base surface. It was found that the difference in surface energy between the base surface and pillar had little effect on the hydrophobicity of the surface at low pillar heights. However cases with pillar heights over H = 4.24 Å, the pillar surface energy has a larger effect on the molecule inflow percentage with the maximum differences in the range from 33.8% to 47.2% depending on the base surface energy. At a pillar height of H = 16.96 Å, the pillar surface energy has a large effect on the contact angle of the water droplet with the maximum differences in the range from −26.1% to −40.62% depending on the base surface energy. There was a large variation in the contact angle of the droplet as the pillar height increased when there was a large difference in the surface energies between the base and the pillars.

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References

  1. C. Yang, U. Tartaglino and B. N. J. Persson, Nanodroplets on rough hydrophilic and hydrophobic surfaces, Eur. Phys. J. E, 25 (2008) 139–152.

    Article  MATH  Google Scholar 

  2. T. Young, An essay on the cohesion of fluids, Philos. Trans. R. Soc. Lond., 95 (1805) 65–87.

    Article  Google Scholar 

  3. R. N. Wenzel, Resistance of solid surfaces to wetting by water, Ind. Eng. Chem., 28 (1936) 988–994.

    Article  Google Scholar 

  4. A. B. D. Cassie and S. Baxter, Wettability of porous surfaces, Trans. Faraday Soc., 40 (1944) 546–551.

    Article  Google Scholar 

  5. M. Lundgren, N. L. Allan and T. Cosgrove, Molecular dynamics study of wetting of a pillar surface, Langmuir, 19 (2003) 7127–7129.

    Article  Google Scholar 

  6. T. S. Chow, Wetting of rough surfaces, J. Phys.: Condens. Matter., 10 (1998) L445–L451.

    Google Scholar 

  7. N. A. Patankar, On the modeling of hydrophobic contact angles on rough surfaces, Langmuir, 19 (2003) 1249–1253.

    Article  Google Scholar 

  8. W. Barthlott and C. Neinhuis, Purity of the sacred lotus, or escape from contamination in biological su1rfaces, Planta, 202 (1997) 1–8.

    Article  Google Scholar 

  9. D. Öner and J. McCarthy, Ultrahydrophobic surfaces, Effects of topography length scales on wettability, Langmuir, 16 (2000) 7777–7782.

    Article  Google Scholar 

  10. D. M. Spori, T. Drobek, S. Zürcher, M. Ochsner, C. Sprecher, A. Mühlebach and N. D. Spencer, Beyond the lotus effect: Roughness influences on wetting over a wide surface-energy range, Langmuir, 24 (2008) 5411–5417.

    Article  Google Scholar 

  11. L. Zhu, Y. Xiu, J. Xu, P. A. Tamirisa, D. W. Hess and C. P. Wong, Superhydrophobicity on two-tier rough surfaces fabricated by controlled growth of aligned carbon nanotube arrays coated with fluorocarbon, Langmuir, 21 (2005) 11208–11212.

    Article  Google Scholar 

  12. C. Yang, U. Tartaglino and B. N. J Persson, Influence of surface roughness on superhydrophobicity, Phys. Rev. Lett., 97 (2006) 116103.

    Article  Google Scholar 

  13. M. Lundgren, N. L. Allan and T. Cosgove, Modeling of wetting: A study of nanowetting at rough and heterogeneous surfaces, Langmuir, 23 (2007) 1187–1194.

    Article  Google Scholar 

  14. M. K. Chaudhury and G. M. Whitesides, How to Make Water Run Uphill, Science, 256 (1992) 1539.

    Article  Google Scholar 

  15. T. Cubaud and M. Fermigier, Advancing contact lines on chemically patterned surfaces, J. Colloid Interface Sci., 269 (2004) 171.

    Article  Google Scholar 

  16. H. Gau, S. Herminghaus, P. Lenz and R. Lipowsky, Liquid morphologies on structured surface: from microchannels to microchips, Science, 283 (1999) 46.

    Article  Google Scholar 

  17. J. Lèopoldés and D. G. Bucknall, Droplet spreading on microstriped surfaces, J. Phys. Chem. B, 109 (2005) 8973.

    Article  Google Scholar 

  18. O. Bliznyuk, E. Vereshchagina, E. S. Kooij and B. Poelsema, Scaling of anisotropic droplet shapes on chemically stripe-patterned surfaces, Phys. Rev. E, 79 (2009) 041601.

    Article  Google Scholar 

  19. H. P. Greenspan, On the motion of a small viscous droplet that wets a surface, J. Fluid Mech., 84 (1978) 125.

    Article  MATH  Google Scholar 

  20. C. Huh and L. E. Scriven, Hydrodynamic model of steady movement of a solid liquid fluid contact line, J. Colloid Interface Sci., 35 (1971) 85.

    Article  Google Scholar 

  21. J. F. Joanny and P. G. Gennes, A model for contact angle hysteresis, J. Chem. Phys., 81 (1984) 552.

    Article  Google Scholar 

  22. F. Brochard, Motions of droplets on solid surfaces induced by chemical or thermal gradients, Langmuir, 5 (1989) 432.

    Article  Google Scholar 

  23. S. Moulinet, C. Guthmann and E. Rolley, Roughness and dynamics of a contact line of a viscous fluid on a disordered substrate, Eur. Phys. J. E, 8 (2002) 437.

    Article  Google Scholar 

  24. L. W. Schwartz and R. R. Eley, Simulation of droplet motion on low-energy and heterogeneous surface, J. Colloid Interface Sci., 202 (1998) 173.

    Article  Google Scholar 

  25. U. Thiele and E. Knobloch, On the depinning of a driven drop on a heterogeneous substrate, New J. Phys., 8 (2006) 313.

    Article  Google Scholar 

  26. J. J. Huang, C. Shu and Y. T. Chew, Numerical investigation of transporting droplets by spatiotemporally controlling substrate wettability, J. Colloid Interface Sci., 328 (2008) 124.

    Article  Google Scholar 

  27. H. Kusamaataja and J. M. Yeomans, Modeling contact angle hysteresis on chemically patterned and superhydrophobic surfaces, Langmuir, 23 (2007) 6019.

    Article  Google Scholar 

  28. A. A. Darhuber and S. M. Troian, Dynamics of capillary spreading along hydrophilic microstripes, Phys. Rev. E, 64 (2001) 031603.

    Article  Google Scholar 

  29. R. Seemann, M. Brinkmann, E. J. Kramer, F. F. Lange and R. Lipowsky, Wetting morphologies at microstructured surfaces, Proc. Natl. Acad. Sci. U.S.A., 102 (2005) 1848–1852.

    Article  Google Scholar 

  30. J. Yaneva, A. Milchev and K. Binder, Polymer droplets on substrates with striped surface domains: molecular dynamics simulations of equilibrium structure and liquid bridge rupture, J. Phys.: Condens. Matter, 17 (2005) S4199–S4211.

    Google Scholar 

  31. G. Wolansky and A. Marmur, Apparent contact angle on rough surfaces: the Wenzel equation revisited, Colloids Surf. A, 156 (1999) 381–388.

    Article  Google Scholar 

  32. S. Brandon, N. Haimovich, E. Yeger and A. Marmur, Partial wetting of chemically patterned surfaces: The effect of drop size, J. Colloid Interface Sci., 263 (2003) 237–243.

    Article  Google Scholar 

  33. A. Marmur, Wetting on hydrophobic rough surfaces: To be heterogeneous or not to be?, Langmuir, 19 (2003) 8343–8348.

    Article  Google Scholar 

  34. J. C. Phillips, R. Braun, W. Wang, J. Gumbart, E. Tajkhorshid, E. Villa, C. Chipot, R. D. Skeel, L. V. Kalé and K. Schulten, Scalable molecular dynamics with NAMD, J. Comput. Chem., 26 (2005) 1781–1802.

    Article  Google Scholar 

  35. B. R. Brooks, R. E. Bruccoleri, B. D. Olafson, D. J. States, S. Swaminathan and M. Karplus, CHARMM: A Program for macromolecular energy, minimization, and dynamics calculations, J. Comp. Chem., 4 (1983) 187–217.

    Article  Google Scholar 

  36. T. Bonometti and J. Magnaudet, An interface-captureing method for incompressible two-phase flows. Validation and application to bubble dynamics, Int. J. Multiphase flow, 33 (2007) 109–133.

    Article  Google Scholar 

  37. W. Gander, J. H. Golub and R. Strebel, Least-squares fitting of circles and ellipses, BIT Numerical Mathmetics, 34 (1994) 558–578.

    Article  MATH  MathSciNet  Google Scholar 

  38. W. L. Jorgensen, J. Chandrasekhar, J. D. Madura, R. W. Impey and M. L. Klein, Comparison of simple potential functions for simulating liquid water, J. Chem. Phys., 79 (1983) 926.

    Article  Google Scholar 

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Correspondence to Man Yeong Ha.

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Recommended by Associate Editor Suk Goo Yoon

Jeong-Ahn Ko received his B.S. degree in Mechanical Engineering from Pusan National University, Korea in 2007. Mr. Ko is currently a Ph.D student at the Pusan National University in Busan, Korea. His research interests are focused on thermal management, computational fluid dynamics, and molecular dynamics.

Man Yeong Ha received his B.S. degree from Pusan National University, Korea, in 1981, M.S. degree, in 1983, from Korea Advanced Institute of Science and Technology, Korea, and Ph.D. degree from Pennsylvania State University, USA in 1990. Dr. Ha is currently a professor at the School of Mechanical Engineering at Pusan National University in Busan, Korea. Dr. Ha is also currently a director of Rolls-Royce and Pusan National University Technology Centre in Thermal Management. He serves as an associate Editor of the Journal of Mechanical Science and Technology. His research interests are focused on thermal management, computational fluid dynamics, and micro/nano fluidics.

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Ko, JA., Kwon, T.W., Ambrosia, M. et al. Study of the wetting characteristics of water droplet on a heterogeneous pillared surface. J Mech Sci Technol 29, 1243–1256 (2015). https://doi.org/10.1007/s12206-015-0238-3

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  • DOI: https://doi.org/10.1007/s12206-015-0238-3

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