Geodesic
Evaporation of Sessile Water Droplets in Presence of Contact Angle Hysteresis
S. Semenov1 ; V.M. Starov1 ; R.G. Rubio2 ; H. Agogo2 ; M.G. Velarde3
1 Dept. of Chemical Engineering, Loughborough University, LE11 3TU Loughborough, UK
2 Dept. of Quimica Fisica I, Universidad Complutense, 28040 Madrid, Spain
3 Instituto Pluridisciplinar, Universidad Complutense, 28040 Madrid, Spain
Mathematical modelling of natural phenomena, Tome 7 (2012) no. 4, pp. 82-98.

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

In this paper we present a theory describing the diffusion limited evaporation of sessile water droplets in presence of contact angle hysteresis. Theory describes two stages of evaporation process: (I) evaporation with a constant radius of the droplet base; and (II) evaporation with constant contact angle. During stage (I) the contact angle decreases from static advancing contact angle to static receding contact angle, during stage (II) the contact angle remains equal to the static receding contact angle. Universal dependences are deduced for both evaporation stages. Obtained universal curves are validated against available in the literature experimental data.
DOI : 10.1051/mmnp/20127407

S. Semenov 1 ; V.M. Starov 1 ; R.G. Rubio 2 ; H. Agogo 2 ; M.G. Velarde 3

1 Dept. of Chemical Engineering, Loughborough University, LE11 3TU Loughborough, UK
2 Dept. of Quimica Fisica I, Universidad Complutense, 28040 Madrid, Spain
3 Instituto Pluridisciplinar, Universidad Complutense, 28040 Madrid, Spain 
@article{MMNP_2012_7_4_a6,
     author = {S. Semenov and V.M. Starov and R.G. Rubio and H. Agogo and M.G. Velarde},
     title = {Evaporation of {Sessile} {Water} {Droplets} in {Presence} of {Contact} {Angle} {Hysteresis}},
     journal = {Mathematical modelling of natural phenomena},
     pages = {82--98},
     publisher = {mathdoc},
     volume = {7},
     number = {4},
     year = {2012},
     doi = {10.1051/mmnp/20127407},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127407/}
}
TY  - JOUR
AU  - S. Semenov
AU  - V.M. Starov
AU  - R.G. Rubio
AU  - H. Agogo
AU  - M.G. Velarde
TI  - Evaporation of Sessile Water Droplets in Presence of Contact Angle Hysteresis
JO  - Mathematical modelling of natural phenomena
PY  - 2012
SP  - 82
EP  - 98
VL  - 7
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127407/
DO  - 10.1051/mmnp/20127407
LA  - en
ID  - MMNP_2012_7_4_a6
ER  - 
%0 Journal Article
%A S. Semenov
%A V.M. Starov
%A R.G. Rubio
%A H. Agogo
%A M.G. Velarde
%T Evaporation of Sessile Water Droplets in Presence of Contact Angle Hysteresis
%J Mathematical modelling of natural phenomena
%D 2012
%P 82-98
%V 7
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127407/
%R 10.1051/mmnp/20127407
%G en
%F MMNP_2012_7_4_a6
S. Semenov; V.M. Starov; R.G. Rubio; H. Agogo; M.G. Velarde. Evaporation of Sessile Water Droplets in Presence of Contact Angle Hysteresis. Mathematical modelling of natural phenomena, Tome 7 (2012) no. 4, pp. 82-98. doi : 10.1051/mmnp/20127407. http://geodesic.mathdoc.fr/articles/10.1051/mmnp/20127407/

[1] D.C. Agrawal, V.J. Menon Physical Review A 1992 2166 2169

[2] V.S. Ajaev J. Fluid Mech. 2005 279 296

[3] D. Bensimon, A. Bensimon, F. Heslot. Process for aligning macromolecules by passage of a meniscus and applications. Patent No. : US 7754425 B2, (2010).

[4] Bhardwaj R., Fang X., D. Attinger New J. Phys. 075020

[5] C. Bourges-Monnier, M.E.R. Shanahan Langmuir 1995 2820 2829

[6] P.G. Campbell, L.E. Weiss Expert Opin. Biol. Ther. 2007 1123 1127

[7] C.-T. Chen, F.-G. Tseng, C.-C. Chieng Sens. and Actuators A 2006 12 19

[8] W.-L. Cheng, F.-Y. Han, Q.-N. Liu, R. Zhao, H.-L. Fan. Experimental and theoretical investigation of surface temperature non-uniformity of spray cooling. Energy (2010), doi :10.1016/j.energy.2010.10.044.

[9] R.V. Craster, O.K. Matar, K. Sefiane Langmuir 2009 3601 3609

[10] S. David, K. Sefiane, L. Tadrist Colloids Surf. A : Physicochem. Eng. Aspects 2007 108 114

[11] R.D. Deegan Phys. Rev. E 2000 475 485

[12] R.D. Deegan, O. Bakajin, T.F. Dupont, G. Huber, S.R. Nagel, T.A. Witten Phys. Rev. E 2000 756 765

[13] V. Dugas, J. Broutin, E. Souteyrand Langmuir 2005 9130 9136

[14] Dunn G.J., Wilson S.K., Duffy B.R., David S., K. Sefiane Colloids Surf. A : Physicochem. Eng. Aspects 2008 50 55

[15] G.J. Dunn, S.K. Wilson, B.R. Duffy, S. David, K. Sefiane J. Fluid Mech. 2009 329 351

[16] S.B. Fuller, E.J. Wilhelm, J.M. Jacobson J. MEMS 2002 54 60

[17] K.P. Galvin Chem. Eng. Sci. 2005 4659 4660

[18] B.-J. De Gans, P.C. Duineveld, U.S. Schubert Adv. Mater. 2004 203 213

[19] F. Girard, M. Antoni, K. Sefiane Langmuir 2008 9207 9210

[20] F. Girard, M. Antoni, S. Faure, A. Steinchen Langmuir 2006 11085 11091

[21] Girard F., Antoni M., Faure S., A. Steinchen Microgr. Sci. Technol 2006 42 46

[22] F. Girard, M. Antoni, S. Faure, A. Steinchen Colloids Surf. A 2008 36 49

[23] F. Girard, M. Antoni Langmuir 2008 11342 11345

[24] G. Guena, C. Poulard, M. Voue, J.D. Coninck, A.M. Cazabat Colloids Surf. A 2006 191 196

[25] H. Hu, R.G. Larson J. Phys. Chem. B 2002 1334 1344

[26] H. Hu, R.G. Larson Langmuir 2005 3963 3971

[27] H. Hu, R.G. Larson Langmuir 2005 3972 3980

[28] Y.M. Hung, Q. Seng. Effects of geometric design on thermal performance of star-groove micro-heat pipes. Int. J. Heat Mass Transfer (2010), doi :10.1016/j.ijheatmasstransfer.2010.09.070.

[29] C. Ingrosso, J.Y. Kim, E. Binetti, V. Fakhfouri, M. Striccoli, A. Agostiano, M.L. Curri, J. Brugger Microelectr. Eng. 2009 1124 1126

[30] S. Karlsson, A. Rasmuson, I.N. Björn, S. Schantz Powder Technol. 2011 245 256

[31] Kim H., J. Kim J. Micromech. Microeng 2010 045008

[32] Kim J.H., Shi Wei-Xian, R.G. Larson Langmuir 2007 755 764

[33] Ko S.H., Chung J., Hotz N., Nam K.H., C.P. Grigoropoulos J. Micromech. Microeng 2010 125010

[34] Peng Du, Luhai Li, Wen Zhao, Xian Leng, Hu Xuwei Adv. Mater. Res. 2011 358 361

[35] R.G. Picknett, R. Bexon J. Colloid Interface Sci. 1977 336 350

[36] Rednikov A.Ye., P. Colinet Langmuir 2011 1758 1769

[37] Ristenpart W.D., Kim P.G., Domingues C., Wan J., H.A. Stone Phys. Rev. Lett. 2007 234502

[38] Savva N., S. Kalliadasis Europhys. Lett. 2011 64004

[39] N.C. Schirmer, S. Ströhle, M.K. Tiwari, D. Poulikakos Adv. Funct. Mater. 2010 1 8

[40] F. Schonfeld, K.H. Graf, S. Hardt, H.J. Butt Int. J. Heat Mass Transfer 2008 3696 3699

[41] K. Sefiane, L. Tadrist Int. Commun. Heat Mass Transfer 2006 482 490

[42] S. Semenov, V.M. Starov, R.G. Rubio, M.G. Velarde Colloids Surf. A : Physicochem. Eng. Aspects 2010 127 134

[43]

[44] E. Sultan, A. Boudaoud, M.B. Amar J. Fluid Mech. 2005 183 202

[45] H. Yildirim Erbil, G. Mchale, S.M. Rowan, M.I. Newton Langmuir 1999 7378 7385

Cité par Sources :