A new look on wetting models: Continuum analysis

Science China: Physics, Mechanics and Astronomy

Volumn 55, Issue 11, 2012, Pages 2158-2166

  Liu, Jianlin ^a   Xia, Re ^b   Zhou, Xiaohua ^c  

^a CHINA UNIVERSITY OF PETROLEUM   (China)

^b WUHAN UNIVERSITY   (China)

^c FOURTH MILITARY MEDICAL UNIVERSITY   (China)

Author keywords

Continuum field; Energy functional; Mechanism based model; Transversality condition; Triple line moving

Indexed keywords

CONTINUUM FIELDS; ENERGY FUNCTIONALS; MECHANISM-BASED MODEL; TRANSVERSALITY CONDITIONS; TRIPLE LINES;

CONTACT ANGLE; CONTINUUM MECHANICS; SUBSTRATES;

WETTING;

EID: 84872120934     PISSN: 16747348     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11433-012-4895-2     Document Type: Article

References (48)

1. Young T. An essay on the cohesion of fluids. Trans R Soc London, 1805, 95: 65-87
2. de Gennes P G. Wetting: statics and dynamics. Rev Mod Phys, 1985, 57: 827-863
3. Quéré D. Rough ideas on wetting. Physica A, 2002, 313: 32-46
4. Yuan Q Z, Zhao Y P. Topology-dominated dynamic wetting of the precursor chain in a hydrophilic interior corner. Proc R Soc A, 2012, 468: 310-322
5. Ceihuis C, Barthlott W. Characterization and distribution of water- repellent, self-cleaning plant surfaces. Ann Bot, 1997, 79: 667- 677
6. Hu D L, Chan B, Bush J W. The hydrodynamics of water strider locomotion. Nature, 2004, 424: 663-666
7. Feng X Q, Gao X F, Wu Z N, et al. Superior water repellency of water strider legs with hierarchical structures: experiments and analysis. Langmuir, 2007, 23: 4892-4896
8. Liu J L, Feng X Q. Buoyant force and sinking conditions of a hydrophobic thin rod floating on water. Phys Rev E, 2007, 76: 066103
9. Shi F, Niu J, Liu J L, et al. Towards understanding why superhydrophobic coating is needed by water striders. Adv Mater, 2007, 19: 2257-2261
10. Wu C W, Kong X Q, Wu D. Micronanostructures of the scales on a mosquito's legs and their role in support. Phys Rev E, 2007, 76: 017301
11. Parker A R, Lawrence C R. Water capture by a desert beetle. Nature, 2001, 414: 33-34
12. Zhai L, Cebeci F C, Cohen R E, et al. Stable superhydrophobic coatings from polyelectrolyte multilayers. Nano Lett, 2004, 4: 1349-1353
13. Lau K K S, Bico J, Teo K B K, et al. Superhydrophobic carbon nanotube forests. Nano Lett, 2003, 3: 1701-1705
14. Hosono E, Fujihara S, Honma I, et al. Superhydrophobic perpendicular nano-pin film by the bottom-up process. J Am Chem Soc, 2005, 127: 13458-13459
15. Yoshimitsu Z, Nakajima A, Watanabe T, et al. Effects of surface structure on the hydrophobicity and sliding behavior of water droplets. Langmuir, 2002, 18: 5818-5822
16. Onda T, Shibuichi S, Satoh N, et al. Super-water-repellent fractal surfaces. Langmuir, 1996, 12: 2125-2127
17. Bico J, Thiele U, Quéré D. Wetting of textured surfaces. Colloid Surf A-Physiochem Eng Asp, 2002, 206: 41-46
18. Patankar N A. On the modeling of hydrophobic contact angles on rough surfaces. Langmuir, 2003, 19: 1249-1253
19. Lee J, He B, Patankar N A. A roughness-based wettability switching membrane device for hydrophobic surfaces. J Micromech Microeng, 2005, 15: 591-600
20. Liu J L, Xia R, Li B W, et al. Directional motion of droplets in a conical tube or on a conical fibre. Chin Phys Lett, 2007, 24: 3210-3213
21. Blossey R. Self-cleaning surface: Virtual realities. Nat Mater, 2003, 2: 301-306
22. Dai W, Zhao Y P. An electrowetting model for rough surfaces under low voltage. J Adhes Sci Tech, 2008, 22: 217-229
23. Wenzel R N. Resistance of solid surfaces to wetting by water. Ind Eng Chem, 1936, 28: 988-994
24. Cassie A B D, Baxter S T. Wettability of porous surfaces. Faraday Soc, 1944, 40: 546-551
25. Pease D C. The significance of the contact angle in relation to the solid surface. J Phys Chem, 1945, 49: 107-110
26. Bartell F E, Shepard J W. Surface roughness as related to hysteresis of contact angles. II. The systems paraffin-3 molar calcium chloride solution-air and paraffin-glycerol-air. J Phys Chem, 1953, 57: 455- 458
27. Extrand C W. Contact angles and hysteresis on surfaces with chemically heterogeneous islands. Langmuir, 2003, 19: 3793-3796
28. Gao L, McCarthy T J. How Wenzel and Cassie were wrong. Langmuir, 2007, 23: 3762-3765
29. Gao L, McCarthy T J. An attempt to correct the faulty intuition. Langmuir, 2009, 25: 7249-7255
30. Liu J L, Mei Y, Xia R. A new wetting mechanism based upon TCL pinning. Langmuir, 2011, 27: 196-200
31. McHale G. Cassie and Wenzel: were they really so wrong? Langmuir, 2007, 23: 8200-8205
32. Nosonovsky M. On the range of applicability of the Wenzel and Cassie equations. Langmuir, 2007, 23: 9919-9920
33. Panchagnula M V, Vedantam S. Comment on how Wenzel and Cassie were wrong by Gao and McCarthy. Langmuir, 2007, 23: 13242
34. Marmur A, Bittoun E. When Wenzel and Cassie are right: Reconciling local and global considerations. Langmuir, 2009, 25: 1277- 1281
35. Swain P S, Lipowsky R. Contact angles on heterogeneous surfaces: a new look at Cassie's and Wenzel's laws. Langmuir, 1998, 14: 6772-6780
36. Bormashenko E. A variational approach to wetting of composite surfaces: is wetting of composite surfaces a one-dimensional or two-dimensional phenomenon? Langmuir, 2009, 25: 10451-10454
37. Bormashenko E. Young, Boruvka-Neumann, Wenzel and Cassie- Baxter equations as the transversality conditions for the variational problem of wetting. Colloid Surf A-Physiochem Eng Asp, 2009, 345: 163-165
38. Yu Y S, Zhao Y P. Deformation of PDMS membrane and microcantilever by a water droplet: comparison between Mooney-Rivlin and linear elastic constitutive models. J Colloid Inter face Sci, 332: 467-476
39. Koch K, Bohn H F, Barthlott W. Hierarchically sculptured plant surfaces and superhydrophobicity. Langmuir, 2009, 25: 14116-14120
40. Quéré D. Surface wetting: Model droplets. Nat Mater, 2004, 3: 79-80
41. Yuan Q Z, Zhao Y P. Precursor film in dynamic wetting, electrowetting, and electro-elasto-capillarity. Phys Rev Lett, 2010, 104: 246101
42. Calabri L, Pugno N, Menozzi C, Valeri S. AFM nanoindentation: Tip shape and tip radius of curvature effect on the hardness measurement. J Phys-Condens Matter, 2008, 20: 474208
43. Wolansky G, Marmur A. Apparent contact angles on rough surfaces: The Wenzel equation revisited. Colloid Surf A-Physiochem Eng Asp, 1999, 156: 381-388
44. Brandon S, Haimovich N, Yeger E, et al. Partial wetting of chemically patterned surfaces: the effect of drop size. J Colloid Interface Sci, 2003, 263: 237-243
45. Yu X, Wang Z, Jiang Y, et al. Surface gradient material: from superhydrophobicity to superhydrophilicity. Langmuir, 2006, 22: 4483- 4486
46. Lipowsky R, Lenz P, Swain P S. Wetting and dewetting of structured and imprinted surfaces. Colloid Surf A-Physiochem Eng Asp, 2000, 161: 3-22
47. Li Y, Wang J, Yin Y, et al. Division and microstructure feature in the interface transition zone of Fe3Al/Q235 diffusion bonding. J Colloid Interface Sci, 2005, 288: 521-525
48. Yu Y, Wu Q, Zhang K, et al. Effect of triple-phase contact line on contact angle hysteresis. Sci China-Phys Mech Astron, 2012, 55: 1045-1050