Skip to main content
SpringerLink
Log in

Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: Computer simulations

  • Regular Article
  • Published:
The European Physical Journal Special Topics Aims and scope Submit manuscript

Abstract

The aim of the current numerical study is to investigate the influence of individual effects (kinetic effects, latent heat of vaporization, Marangoni convection, Stefan flow, droplet’s surface curvature) on the rate of evaporation of a water droplet placed on a highly heat conductive substrate for different sizes of the droplet (down to submicron sizes). We performed simulations for one particular set of parameters: the ambient relative air humidity is set to 70%, the ambient temperature is 20 ∘C, the contact angle is 90∘, and the substrate material is copper. The Suggested model combines both diffusive and kinetic models of evaporation. The obtained results allow estimation of the characteristic droplet sizes where each of the mentioned above phenomena becomes important or can be neglected.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C. Sodtke, P. Stephan, Int. J. Heat Mass Transfer 50, 4089 (2007)

    Article  Google Scholar 

  2. W.-L. Cheng, F.-Y. Han, Q.-N. Liu, R. Zhao, H.-L. Fan, Energy 36, 249 (2011)

    Article  Google Scholar 

  3. Du Peng, Li Luhai, Zhao Wen, Leng Xian, Hu Xuwei, Adv. Mater. Res. 174, 358 (2011)

    Google Scholar 

  4. P.G. Campbell, L.E. Weiss, Expert Opin. Biol. Ther. 7, 1123 (2007)

    Article  Google Scholar 

  5. S.B. Fuller, E.J. Wilhelm, J.M. Jacobson, J. Microelectromech. Syst. 11, 54 (2002)

    Article  Google Scholar 

  6. T. Haschke, W. Wiechert, K. Graf, E. Bonaccurso, G. Li, F.T. Suttmeier, Nanoscale Microscale Thermophys. Eng. 11, 31 (2007)

    Article  Google Scholar 

  7. R. Pericet-Camara, E. Bonaccurso, K. Graf, Chem. Phys. Chem. 9, 1738 (2008)

    Article  Google Scholar 

  8. S. Karlsson, A. Rasmuson, I.N. Björn, S. Schantz, Powder Technol. 207, 245 (2011)

    Article  Google Scholar 

  9. J.H. Kim, W.-X. Shi, R.G. Larson, Langmuir 23, 755 (2007)

    Article  Google Scholar 

  10. R.D. Deegan, O. Bakajin, T.F. Dupont, G. Huber, S.R. Nagel, T.A. Witten, Phys. Rev. E 62, 756 (2000)

    Article  ADS  Google Scholar 

  11. G. Guena, C. Poulard, M. Voue, J.D. Coninck, A.M. Cazabat, Colloids Surf. A 291, 191 (2006)

    Article  Google Scholar 

  12. F. Girard, M. Antoni, K. Sefiane, Langmuir 24, 9207 (2008)

    Article  Google Scholar 

  13. H. Hu, R.G. Larson, J. Phys. Chem. B 110, 7090 (2006)

    Article  Google Scholar 

  14. K. Sefiane, S.K. Wilson, S. David, G.J. Dunn, B.R. Duffy, Phys. Fluids 21, 062101 (2009)

    Article  ADS  Google Scholar 

  15. W.D. Ristenpart, P.G. Kim, C. Domingues, J. Wan, H.A. Stone, Phys. Rev. Lett. 99, 234502 (2007)

    Article  ADS  Google Scholar 

  16. R. Bhardwaj, X. Fang, D. Attinger, New J. Phys. 11, 075020 (2009)

    Article  ADS  Google Scholar 

  17. S. David, K. Sefiane, L. Tadrist, Colloids Surf. A: Physicochem. Eng. Aspects 298, 108 (2007)

    Article  Google Scholar 

  18. S. Semenov, V.M. Starov, R.G. Rubio, H. Agogo, M.G. Velarde, Coll. Surf. A: Physicochem. Eng. Aspects 391, 135 (2011)

    Article  Google Scholar 

  19. S. Moosman, G.M. Homsy, J. Coll. Inter. Sci. 73, 212 (1980)

    Article  Google Scholar 

  20. V. Starov, M. Velarde, C. Radke, Dynamics of wetting and spreading in Surfactant Sciences Series, vol. 138 (Taylor&Frances, 2007)

  21. V.S. Ajaev, T. Gambaryan-Roisman, P. Stephan, J. Coll. Inter. Sci. 342, 550 (2010)

    Article  Google Scholar 

  22. A.P. Kryukov, V. Yu. Levashov, S.S. Sazhin, Int. J. Heat Mass Transfer 47, 2541 (2004)

    Article  MATH  Google Scholar 

  23. S.S. Sazhin, I.N. Shishkova, A.P. Kryukov, V.Yu. Levashov, M.R. Heikal, Int. J. Heat Mass Transfer 50, 2675 (2007)

    Article  MATH  Google Scholar 

  24. S. Semenov, V.M. Starov, R.G. Rubio, M.G. Velarde, Coll. Surf. A: Physicochem. Eng. Aspects 372, 127 (2010)

    Article  Google Scholar 

  25. R. Krahl, M. Adamov, M.L. Aviles, E. Bänsch, A model for two phase flow with evaporation, Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), ISSN 09468633, No. 899 (preprint) (2004)

  26. K.P. Galvin, Chem. Eng. Sci. 60, 4659 (2005)

    Article  Google Scholar 

  27. P.H. Bligh, R. Haywood, Eur. J. Phys. 7, 245 (1986)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dept. of Chemical Engineering, Loughborough University, LE11 3TU, Loughborough, UK

    Sergey Semenov & Victor M. Starov

  2. Dept. of Quimica Fisica I, Universidad Complutense, 28040, Madrid, Spain

    Ramon G. Rubio

Authors
  1. Sergey Semenov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Victor M. Starov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ramon G. Rubio
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding authors

Correspondence to Sergey Semenov, Victor M. Starov or Ramon G. Rubio.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Semenov, S., Starov, V.M. & Rubio, R.G. Evaporation of pinned sessile microdroplets of water on a highly heat-conductive substrate: Computer simulations. Eur. Phys. J. Spec. Top. 219, 143–154 (2013). https://doi.org/10.1140/epjst/e2013-01789-y

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjst/e2013-01789-y

Keywords

Search

Navigation