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On the size dependence of the surface tension

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Abstract

The general form of a differential equation that deduces a size dependence of the surface tension is derived. The well-known Gibbs-Tolman-Koenig-Buff equation for the spherical surface is a particular case of the newly derived one. Analytical solutions to this equation for the spherical, cylindrical, parabolic, and conical surfaces are found.

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Authors and Affiliations

  1. Institute of Applied Mathematics and Automation, Kabardino-Balkar Scientific Center, Russian Academy of Sciences, ul. Shortanova 89a, Nalchik, 360000, Kabardino-Balkaria, Russia

    S. Sh. Rekhviashvili & E. V. Kishtikova

Authors
  1. S. Sh. Rekhviashvili
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  2. E. V. Kishtikova
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Correspondence to S. Sh. Rekhviashvili.

Additional information

Original Russian Text © S.Sh. Rekhviashvili, E.V. Kishtikova, 2011, published in Zhurnal Tekhnicheskoĭ Fiziki, 2011, Vol. 81, No. 1, pp. 148–152.

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Rekhviashvili, S.S., Kishtikova, E.V. On the size dependence of the surface tension. Tech. Phys. 56, 143–146 (2011). https://doi.org/10.1134/S106378421101021X

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  • DOI: https://doi.org/10.1134/S106378421101021X

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