Skip to main content
Log in

Thermodynamics of thin liquid films

I. Basic relations and conditions of equilibrium

  • Colloid Science
  • Published:
Colloid and Polymer Science Aims and scope Submit manuscript

Summary

The conditions for equilibrium between a thin liquid film and its environment are investigated. It is shown that the pressure in the film and the gas phase are equal while between the film and the meniscus a pressure difference exists — the so-called disjoining pressure. Eq. [1.43] is a tangential condition for equilibrium between the film and the meniscus surface. Using theGibbs' method, a general thermodynamical theory of thin films is derived.

Zusammenfassung

Die Bedingungen für Gleichgewicht zwischen einem dünnen flüssigen Film und seiner Umgebung wurden untersucht. Es wurde gezeigt, daß der Druck in dem Film und in der Gasphase gleich sind, während zwischen dem Film und dem Meniskus ein Druckunterschied besteht — der sogenannte Spaltdruck. Gleichung [I.43] ist die tangentiale Bedingung für Gleichgewicht zwischen dem Film und der Meniskusoberfläche. Mit der Hilfe der Methode vonGibbs wurde eine allgemeine thermodynamische Theorie des dünnen flüssigen Filmes aufgebaut.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Derjaguin, B. V. andE. Obuchov, Acta physicochim. URSS5, 1 (1936);Derjaguin, B. V. andS. A. Titijevskaja, Kolloidn. Zhur.15, 416 (1953);Derjaguin, B. V. andZ. M. Zorin, Zhur. Fiz. Khim.29, 1755 (1955);Scheludko, A., DAN SSSR123, 1074 (1958);van den Tempel, M., J. Colloid Sci.13, 125 (1958);Scheludko, A. andD. Exerova, Kolloid-Z.165, 148 (1959); Kolloid-Z.168, 24 (1960);Scheludko, A. andD. Platikanov, Kolloid-Z.175, 150 (1961);Scheludko, A., Proc. Koninkl. Ned. Acad. Wet.B65, 76 (1962);Duyvis, M. E., Thesis, Utrecht (1962);Mysels, K. J. andC. M. Cox, J. Colloid Sci.17, 136 (1962);Sonntag, H., Z. physik. Chem.221, 365 (1962);Zorin, Z. M., Kolloidn. Zhur.25, 624 (1963) ;Mysels, K. J., J. Phys. Chem.68, 3441 (1964);Vrij, A., J. Colloid Sci.19, 1 (1964);Sonntag, H. andH. Klare, Kolloid-Z. u. Z. Polymere195, 35 (1964);Scheludko, A., D. Platikanov andE. Manev, Discuss. Faraday Soc.40, 253 (1965);Lyklema, J. andK. J. Mysels, J. Amer. Chem. Soc.87, 2539 (1965);Lyklema, J., P. C. Scholten andK. J. Mysels, J. Phys. Chem.69, 116 (1965).

    Google Scholar 

  2. Mysels, K. J., H. F. Huisman andR. I. Razouk, J. Phys. Chem.70, 1139 (1966);Haydon, D. A. andJ. L. Taylor, Nature,227, 739 (1968);Princen, H. M., J. Phys. Chem.72, 3342 (1968);Prins, A., J. Colloid Interface Sci.29, 177 (1969);Clint, J. H., J. S. Clunie, J. F. Goodman andJ. R. Tate, Nature,223, 291 (1969).

    Google Scholar 

  3. Scheludko, A., B. Radoev andT. Kolarov, Trans. Faraday Soc.64, 2213 (1968).

    Google Scholar 

  4. Kolarov, T., A. Scheludko andD. Exerova, Trans. Faraday Soc.64, 2864 (1968); Ann. Univ. Sofia, Fac. Chimie62, 75 (1967/1968);Huisman, H. F. andK. J. Mysels, J. Phys. Chem.73, 489 (1969);Mysels, K. J. andJ. W. Buchanan, J. Electroanal. Chem.37, 23 (1972).

    Google Scholar 

  5. Krugljakov, P. M.,Y. G. Rovin andA. F. Koretsky, Izv. Sib. otd. AN SSSR, ser. khim. nauk, No. 2, vyp. 1, 11 (1972); No. 4, vyp. 2, 14 (1972);Krugljakov, P. M.,Y. G. Rovin,I. A. Bagaveev andA. F. Koretsky, Izv. Sib. otd. AN SSSR, ser. khim. nauk, No. 7, vyp. 3, 12 (1972).

  6. Kallman, H. andM. Willstaetter, Naturwiss.20, 952 (1932);de Boer, J. H., Trans. Faraday Soc.32, 21 (1936);Hamaker, H. C., Physica4, 1058 (1937);Dzyalosbinskii, I. E., E. M. Lifshitz andL. P. Pitaevskii, JETP37, 229 (1959);Derjaguin, B. V., Izv. AN SSSR, ser. khim.5, 1153 (1937);Langmuir, I., J. Chem. Phys.6, 893 (1938);Bergmann, P., P. Löw-Beer andH. Zocher, Z. physik. Chem.A181, 301 (1938);Derjaguin, B. V. andL. D. Landau, JETP,11, 802 (1941);Verwey, E. J. W. andJ. Th. G. Overbeek, Theory of the Stability of Hydrophobic Colloid (Amsterdam 1948).

    Google Scholar 

  7. Derjaguin, B. V. andM. M. Kussakov, Izv. AN SSSR, ser. khim.5, 741 (1936); 1119 (1937).

    Google Scholar 

  8. Frumkin, A., Zhur. Phys. Khim.12, 337 (1938).

    Google Scholar 

  9. Frenkel, J., Kinetic Theory of Liquids (New York 1955).

  10. Martynov, G. A. andB. V. Derjaguin, Kolloidn, zh.24, 480 (1962).

    Google Scholar 

  11. Derjaguin, B. V., G. A. Martynov andYu. V. Gutop, Kolloidn. zh.27, 357 (1965).

    Google Scholar 

  12. Derjaguin, B. V. andYu, V. Gutop, Kolloidn. Zhur.27, 674 (1965).

    Google Scholar 

  13. Derjaguin, B. V. andYu. V. Gutop, Kolloidn. Zhur.30, 19 (1968).

    Google Scholar 

  14. Rusanov, A. I., Fazovye ravnovesija i poverkhnostnye javlenija (Leningrad 1967).

  15. Toshev, B. V. andI. B. Ivanov, Ann. Univ. Sofia, Fac. Chimie66, 147 (1971/1972).

    Google Scholar 

  16. Toshev, B. V. andI. B. Ivanov, Ann. Univ. Sofia, Fac. Chimie66, 157 (1971/1972).

    Google Scholar 

  17. Toshev, B. V. andI. B. Ivanov, Ann. Univ. Sofia, Fac. Chimie66, 171 (1971/1972).

    Google Scholar 

  18. Gibbs, J. W., Collected Works, Vol. 1 (New York 1928).

  19. de Feijter, J. A.,J. B. Rijnbout andA. Vrij (private communication).

  20. Derjaguin, B. V., Kolloidn. Zhur.17, 207 (1955).

    Google Scholar 

  21. Ivanov, I. B. andB. V. Toshev, Colloid and Polymer Sci. (in press).

  22. Ono, S. andS. Kondo, Molecular Theory of Surface Tension in Liquids (Berlin-Göttingen-Heidelberg 1960).

  23. Exerova, D., I. Ivanov, andA. Scheludko, Ann. Univ. Sofia, Fac. Chimie56, 157 (1961/1962).

    Google Scholar 

  24. Toshev, B. V. andI. B. Ivanov, Ann. Univ. Sofia, Fac. Chimie65, 329 (1970/1971).

    Google Scholar 

  25. Derjaguin, B. V. andYu. V. Gutop, DAN SSSR171, 652 (1966).

    Google Scholar 

  26. de Feijter, J. A. andA. Vrij, J. Electroanal. Chem.37, 9 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 4 figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Toshev, B.V., Ivanov, I.B. Thermodynamics of thin liquid films. Colloid & Polymer Sci 253, 558–565 (1975). https://doi.org/10.1007/BF01753959

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01753959

Keywords

Navigation