Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
Multiphase Science and Technology
SJR: 0.124 SNIP: 0.222 CiteScore™: 0.26

ISSN Imprimir: 0276-1459
ISSN On-line: 1943-6181

Multiphase Science and Technology

DOI: 10.1615/MultScienTechn.v21.i3.30
pages 213-248


Alexey Ye. Rednikov
Université Libre de Bruxelles, TIPs-Fluid Physics, CP 165/67, 50 Avenue F. D. Roosevelt, 1050 Brussels, Belgium
S. Rossomme
Université Libre de Bruxelles, TIPs-Fluid Physics, CP 165/67, 50 Avenue F. D. Roosevelt, 1050 Brussels, Belgium
P. Colinet
Université Libre de Bruxelles, TIPs-Fluid Physics, CP 165/67, 50 Avenue F. D. Roosevelt, 1050 Brussels, Belgium


On the basis of a standard one-sided lubrication-type model, an analysis is carried out pertaining to a small vicinity of a contact line of a volatile nonpolar perfectly wetting macroscopic liquid sample surrounded with its pure vapor and attached to a smooth uniformly superheated solid surface. The behavior of the liquid film is governed by the effects of evaporation, capillarity, and the disjoining pressure. The kinetic resistance to evaporation, as well as the dependence of the local saturation temperature on the local liquid pressure are accounted for. Within the localized approach pursued, a steady configuration of the film on a flat substrate is studied such that at one end (say, to the left) it asymptotically attains an adsorbed microfilm in equilibrium with the vapor, while to the right it gets on to a constant slope (contact angle of the "microstructure"). For moving contact lines in the situations like drop spreading or bubble growth in the boiling process, this microstructure is relevant in the quasi-steady sense, provided that the displacement velocity is not too large. The paper focuses on a numerically based parametric study expressing the contact angle and evaporation flux characteristics as functions of the system parameters. Asymptotic expansions at both ends of the film are elaborated in some detail and relied on in the numerics. Asymptotic results from the literature involving certain limiting cases of the system parameters are critically examined. At last, the Marangoni and the vapor-recoil effects are additionally incorporated and their possible importance is assessed.


  1. Ajaev, V. S., and Homsy, G. M., Steady vapor bubbles in rectangular microchannels. DOI: 10.1006/jcis.2001.7562

  2. Ajaev, V. S., Spreading of thin volatile liquid droplets on uniformly heated surfaces. DOI: 10.1017/S0022112005003320

  3. Ajaev, V. S., Evolution of dry patches in evaporating liquid films. DOI: 10.1103/PhysRevE.72.031605

  4. Burelbach, J. P., Bankoff, S. G., and Davis, S. H., Nonlinear stability of evaporating/condensing liquid films. DOI: 10.1017/S0022112088002484

  5. Colinet, P., Kaya, H., Rossomme, S., and Scheid, B., Some advances in lubrication-type theories. DOI: 10.1140/epjst/e2007-00194-7

  6. DasGupta, S., Schonberg, J. A., Kim, I. Y., and Wayner, P. C., Use of the augmented Young-Laplace equation to model equilibrium and evaporating extended menisci. DOI: 10.1006/jcis.1993.1194

  7. de Gennes, P. G., Wetting: statics and dynamics. DOI: 10.1103/RevModPhys.57.827

  8. Derjaguin, B. V., Churaev, N. V., and Muller, V. M., Surface Forces.

  9. Marek, R., and Straub, J., Analysis of the evaporation coefficient and the condensation coefficient of water. DOI: 10.1016/S0017-9310(00)00086-7

  10. Moosman, S., and Homsy, G. M., Evaporating menisci of wetting fluids. DOI: 10.1016/0021-9797(80)90138-1

  11. Morris, S. J. S., Contact angles for evaporating liquids predicted and compared with existing experiments.

  12. Potash, M., and Wayner, P. C., Evaporation from a two dimensional extended meniscus. DOI: 10.1016/0017-9310(72)90058-0

  13. Rednikov, A. Ye., and Colinet, P., Vapor-liquid contact angle on a heated substrate: The limits of weak and strong evaporation.

  14. Rossomme, S., Scheid, B., and Colinet, P., Hydrodynamic stability of a thin volatile liquid layer.

  15. Rossomme, S., Goffaux, C., Hillewaert, K., and Colinet, P., Multi-scale numerical modeling of radial heat transfer in grooved heat pipes.

  16. Rossomme, S., Scheid, B., and Colinet, P., Heat transfer in the vicinity of a steady evaporating contact line.

  17. Stephan, P. C., and Busse, C. A., Analysis of the heat transfer coefficient of grooved heat pipe evaporator walls. DOI: 10.1016/0017-9310(92)90276-X