Skip to main content
SpringerLink
Log in

Size Dependences of Surface Tension

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

Research into the curved interfaces is an important problem of first-order phase transitions. The curvature dependence of the surface tension is important for the description of nucleation phenomena and fluids in microcapillaries or nanopores. When the droplet radius becomes very small, its surface tension is different from that of a large droplet. It is difficult to determine a size dependence of the surface tension by an experiment; only theoretical models are available. Several models for the size dependence based on the Gibbs–Tolman–Koenig–Buff (GTKB) equation have been published recently. With the usage of the GTKB equation, the exact relationship between the microdroplet surface tension and the radius can be obtained. Different models are discussed, and a new approximation of the size dependence of the surface tension is presented.

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

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. S.S. Rekhviashvili, E.V. Kishtikova, Tech. Phys. 56, 143 (2011)

    Article  Google Scholar 

  2. S. Ono, S. Kondo, Molecular Theory of Surface Tension in Liquids (Springer, Berlin, 1960)

    Google Scholar 

  3. R.C. Tolman, J. Chem. Phys. 17, 333 (1949)

    Article  ADS  Google Scholar 

  4. R.C. Tolman, J. Chem. Phys. 16, 758 (1948)

    Article  ADS  Google Scholar 

  5. R.-Z. Zhu, X.-S. Wang, Chin. Phys. B 19, 07681 (2010)

    Google Scholar 

  6. SSh Rekhviashvili, E.V. Kishtikova, Tech. Phys. 54, 1731 (2009)

    Article  Google Scholar 

  7. G. Graziano, Chem. Phys. Lett. 497, 33 (2010)

    Article  ADS  Google Scholar 

  8. S.B. Kiselev, Physica A 269, 252 (1999)

    Article  ADS  Google Scholar 

  9. J. Schmelzer, R. Mahnke, J. Chem. Soc. Faraday Trans. 82, 1413 (1986)

    Article  Google Scholar 

  10. J.W.P. Schmelzer, I. Gutzov, J. Schmelzer, J. Colloid Interface Sci. 178, 657 (1996)

    Article  Google Scholar 

  11. H.M. Lu, Q. Jiang, Langmuir 21, 779 (2005)

    Article  Google Scholar 

Download references

Acknowledgments

The research was supported by the Czech Science Foundation under Grant P101-13-20467P.

Author information

Authors and Affiliations

  1. Faculty of Science, University of South Bohemia, Ceske Budejovice, Czech Republic

    Jana Kalová

  2. Faculty of Mechanical Engineering, University of West Bohemia, Pilsen, Czech Republic

    Radim Mareš

Authors
  1. Jana Kalová
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Radim Mareš
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jana Kalová.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kalová, J., Mareš, R. Size Dependences of Surface Tension. Int J Thermophys 36, 2862–2868 (2015). https://doi.org/10.1007/s10765-015-1851-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10765-015-1851-1

Keywords

Search

Navigation