Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields

E. Bormashenko

Mathematical Modelling of Natural Phenomena (2012)

  • Volume: 7, Issue: 4, page 1-5
  • ISSN: 0973-5348

Abstract

top
The paper proposes a general framework allowing the analysis of wetting problems in the situation when interfacial tensions depend on external fields. An equation predicting apparent contact angles of sessile droplets deposited on rough surfaces in the presence of external fields is derived. The problem of wetting is discussed in the framework of the variational approach. Derivation of a general equation generalizing the Cassie and Wenzel approaches is presented. The effects related to the line tension which are important for nano-structured surfaces are considered.

How to cite

top

Bormashenko, E.. "Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields." Mathematical Modelling of Natural Phenomena 7.4 (2012): 1-5. <http://eudml.org/doc/222423>.

@article{Bormashenko2012,
abstract = {The paper proposes a general framework allowing the analysis of wetting problems in the situation when interfacial tensions depend on external fields. An equation predicting apparent contact angles of sessile droplets deposited on rough surfaces in the presence of external fields is derived. The problem of wetting is discussed in the framework of the variational approach. Derivation of a general equation generalizing the Cassie and Wenzel approaches is presented. The effects related to the line tension which are important for nano-structured surfaces are considered.},
author = {Bormashenko, E.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {electrowetting; dependence of interfacial tensions on external fields Cassie and Wenzel models; line tension; excess free energy variation; transversality conditions},
language = {eng},
month = {7},
number = {4},
pages = {1-5},
publisher = {EDP Sciences},
title = {Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields},
url = {http://eudml.org/doc/222423},
volume = {7},
year = {2012},
}

TY - JOUR
AU - Bormashenko, E.
TI - Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields
JO - Mathematical Modelling of Natural Phenomena
DA - 2012/7//
PB - EDP Sciences
VL - 7
IS - 4
SP - 1
EP - 5
AB - The paper proposes a general framework allowing the analysis of wetting problems in the situation when interfacial tensions depend on external fields. An equation predicting apparent contact angles of sessile droplets deposited on rough surfaces in the presence of external fields is derived. The problem of wetting is discussed in the framework of the variational approach. Derivation of a general equation generalizing the Cassie and Wenzel approaches is presented. The effects related to the line tension which are important for nano-structured surfaces are considered.
LA - eng
KW - electrowetting; dependence of interfacial tensions on external fields Cassie and Wenzel models; line tension; excess free energy variation; transversality conditions
UR - http://eudml.org/doc/222423
ER -

References

top
  1. M. Pollack, R. Fair, A. Shenderov. Electrowetting-based actuation of liquid droplets for microfluidic applications. Appl. Phys. Lett., 77 (2000), 1725–1726.  
  2. R. Hayes, B. Feenstra. Video-speed electronic paper based on electrowetting. Nature, 425 (2003), 383–385.  
  3. Fr. Mugele, J.-Ch. Baret. Electrowetting : from basics to applications. J. Phys. : Condens. Matter, 17 (2005), R705-R774.  
  4. T. Krupenkin, J. Taylor, T. Schneider, S. Yang, From Rolling Ball to Complete Wetting : The Dynamic Tuning of Liquids on Nanostructured Surfaces. Langmuir, 20 (2004), 3824–3827.  
  5. N.-Tr. Nguyen, G. Zhu, Y.-Ch. Chua, V.-Ng. Phan, S.-H. Tan. Magnetowetting and Sliding Motion of a Sessile Ferrofluid Droplet in the Presence of a Permanent Magnet. Langmuir, 26 (2010), 12553–12559.  
  6. Q. Zhou, W. Ristenpart, P. Stroeve. Magnetically Induced Decrease in Droplet Contact Angle on Nanostructured Surfaces. Langmuir27, (2011), 11747–11751.  
  7. L. Liggieri, A. Sanfeld, A. Steinchenbad. Effects of magnetic and electric fields on surface tension of liquids. Physica A, 206 (1994), 299–331.  
  8. A. Banpurkar, K. Nichols, Fr. Mugele. Electrowetting-Based Microdrop Tensiometer. Langmuir, 24 (2008), 10549–10551.  
  9. B. Shapiro, H. Moon, R. Garrell, CJ. Kim. Equilibrium behavior of sessile drops under surface tension, applied external fields, and material variations. J. Applied Physics, 93 (2003), 5794–5811 
  10. P. de Gennes, F. Brochard-Wyart, D. Quere. Capillarity and Wetting Phenomena. Springer, Berlin, 2003.  
  11. A. Cassie, S. Baxter. Wettablity of porous surfaces. Trans. Faraday Soc., 40 (1944), 546–551.  
  12. A. Cassie. Contact angles. Discuss. Faraday Soc., 3 (1948), 11–16.  
  13. R. Wenzel. Resistance of solid surfaces to wetting by water. Ind. Eng. Chem., 28 (1936), 988–994.  
  14. A. Marmur. Wetting on hydrophobic rough surfaces : to be heterogeneous or not to be?Langmuir, 19 (2003), 8343–8348.  
  15. M. Nosonovsky. On the Range of Applicability of the Wenzel and Cassie Equations. Langmuir, 23 (2007), 9919–9920.  
  16. M. Miwa, A. Nakajima, A. Fujishima, K. Hashimoto, T. Watanabe. Effects of the Surface Roughness on Sliding Angles of Water Droplets on Superhydrophobic Surfaces. Langmuir, 16 (2000), 5754.  
  17. S. Larsen, R. Taboryski. A Cassie-like law using triple phase boundary line fractions for faceted droplets on chemically heterogeneous surfaces. Langmuir, 25 (2009), 1282–1284.  
  18. B. Bhushan, M. Nosonovsky. The rose petal effect and the modes of superhydrophobicity. Philosophical Trans. Royal Soc. A, 368 (2010), 4713–4728.  
  19. T.-S. Wong, Ch.-M. Ho. Dependence of Macroscopic Wetting on Nanoscopic Surface Textures. Langmuir, 25 (2009), 12851–12854.  
  20. D. Aronov, M. Molotskii, G. Rosenman. Electron-induced wettability modification. Physical Review B76 (2007), 035437.  
  21. I. Gelfand, S. Fomin. Calculus of Variations. Dover, New York, 2000.  
  22. A. Marmur. Line tension effect on contact angles : Axisymmetric and cylindrical systems with rough or heterogeneous solid surfaces. Colloids Surf. A, 136 (1998), 81–88.  
  23. V. Starov, M. Velarde. Surface forces and wetting phenomena. J. Phys. Condens. Matter., 21 (2009), 464121.  
  24. E. Bormashenko. Young, Boruvka-Neumann, Wenzel and Cassie-Baxter equations as the transversality conditions for the variational problem of wetting. Colloids and Surfaces A, 345 (2009), 163–165.  
  25. E. Bormashenko. Wetting of Flat and Rough Curved Surfaces. J. Phys. Chem. C, 113 (2009), 17275–17277.  
  26. E. Bormashenko. A Variational Approach to Wetting of Composite Surfaces : Is Wetting of Composite Surfaces a One-Dimensional or Two-Dimensional Phenomenon?Langmuir, 25 (2009), 10451–10454.  
  27. E. Bormashenko. General equation describing wetting of rough surfaces. Journal of Colloid and Interface Science, 360 (2011), 317–319.  
  28. A. Amirfazli, A. Neumann. Status of three-phase line tension. Advances in Colloid and Interface Science, 110 (2004), 121–141.  

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.