Geodesic
Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields
E. Bormashenko1
1 Ariel University Center of Samaria, Applied Physics Department, Department of Chemistry and Biotechnology Engineering, POB 3, Ariel, 40700, Israel
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 4, pp. 1-5

Voir la notice de l'article provenant de la source EDP Sciences

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.
DOI : 10.1051/mmnp/20127401

E. Bormashenko 1

1 Ariel University Center of Samaria, Applied Physics Department, Department of Chemistry and Biotechnology Engineering, POB 3, Ariel, 40700, Israel 
@article{10_1051_mmnp_20127401,
     author = {E. Bormashenko},
     title = {Contact {Angles} of {Sessile} {Droplets} {Deposited} on {Rough} and {Flat} {Surfaces} in the {Presence} of {External} {Fields}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {1--5},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2012},
     doi = {10.1051/mmnp/20127401},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127401/}
}
TY  - JOUR
AU  - E. Bormashenko
TI  - Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields
JO  - Mathematical modelling of natural phenomena
PY  - 2012
SP  - 1
EP  - 5
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127401/
DO  - 10.1051/mmnp/20127401
LA  - en
ID  - 10_1051_mmnp_20127401
ER  - 
%0 Journal Article
%A E. Bormashenko
%T Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields
%J Mathematical modelling of natural phenomena
%D 2012
%P 1-5
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127401/
%R 10.1051/mmnp/20127401
%G en
%F 10_1051_mmnp_20127401
E. Bormashenko. Contact Angles of Sessile Droplets Deposited on Rough and Flat Surfaces in the Presence of External Fields. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 4, pp. 1-5. doi: 10.1051/mmnp/20127401

[1] M. Pollack, R. Fair, A. Shenderov Appl. Phys. Lett. 2000 1725 1726

[2] R. Hayes, B. Feenstra Nature 2003 383 385

[3] Fr. Mugele, J.-Ch. Baret J. Phys. : Condens. Matter 2005 R705 R774

[4] T. Krupenkin, J. Taylor, T. Schneider, S. Yang Langmuir 2004 3824 3827

[5] N.-Tr. Nguyen, G. Zhu, Y.-Ch. Chua, V.-Ng. Phan, S.-H. Tan Langmuir 2010 12553 12559

[6] Q. Zhou, W. Ristenpart, P. Stroeve Langmuir 2011 11747 11751

[7] L. Liggieri, A. Sanfeld, A. Steinchenbad Physica A 1994 299 331

[8] A. Banpurkar, K. Nichols, Fr. Mugele Langmuir 2008 10549 10551

[9] B. Shapiro, H. Moon, R. Garrell, Cj. Kim J. Applied Physics 2003 5794 5811

[10] P. de Gennes, F. Brochard-Wyart, D. Quere. Capillarity and Wetting Phenomena. Springer, Berlin, 2003.

[11] A. Cassie, S. Baxter Trans. Faraday Soc. 1944 546 551

[12] A. Cassie Discuss. Faraday Soc. 1948 11 16

[13] R. Wenzel Ind. Eng. Chem. 1936 988 994

[14] A. Marmur Langmuir 2003 8343 8348

[15] M. Nosonovsky Langmuir 2007 9919 9920

[16] M. Miwa, A. Nakajima, A. Fujishima, K. Hashimoto, T. Watanabe Langmuir 2000 5754

[17] S. Larsen, R. Taboryski Langmuir 2009 1282 1284

[18] B. Bhushan, M. Nosonovsky Philosophical Trans. Royal Soc. A 2010 4713 4728

[19] T.-S. Wong, Ch.-M. Ho Langmuir 2009 12851 12854

[20] D. Aronov, M. Molotskii, G. Rosenman Physical Review B 2007 035437

[21] I. Gelfand, S. Fomin. Calculus of Variations. Dover, New York, 2000.

[22] A. Marmur Colloids Surf. A 1998 81 88

[23] V. Starov, M. Velarde J. Phys. Condens. Matter. 2009 464121

[24] E. Bormashenko Colloids and Surfaces A 2009 163 165

[25] E. Bormashenko J. Phys. Chem. C 2009 17275 17277

[26] E. Bormashenko Langmuir 2009 10451 10454

[27] E. Bormashenko Journal of Colloid and Interface Science 2011 317 319

[28] A. Amirfazli, A. Neumann Advances in Colloid and Interface Science 2004 121 141

Cité par Sources :