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Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya, 2018, Volume 24, Issue 1, Pages 47–50
DOI: https://doi.org/10.18287/2541-7525-2018-24-1-47-50 (Mi vsgu569) 		 
Mathematical Methods in Natural Sciences

Capillary rise with size-dependent surface tension and contact angle

A. A. Sokurov

Department of Theoretical and Mathematical Physics, Institute of Applied Mathematics and Automation, 89A, Shortanova Street, Nalchik, 360000, Russian Federation
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DOI: https://doi.org/10.18287/2541-7525-2018-24-1-47-50
Abstract: In this paper we consider the size dependent of surface tension in nanocapillary. Based on the analogue of the Gibbs–Tolman–Koenig–Buff differential equation it is shown that for sufficiently small values of the capillary radius the Tolman's equation for the surface tension holds. Taking into account the size dependent of the surface tension and the contact angle the problem of the capillary rise is discussed.
Keywords: capillary, capillary rise, Jurin's law, surface tension, contact angle, size dependence, radius of curvature, Young–Laplace equation.
Received: 18.02.2018
Bibliographic databases:
Document Type: Article
UDC: 532.6
Language: Russian
Citation: A. A. Sokurov, “Capillary rise with size-dependent surface tension and contact angle”, Vestnik SamU. Estestvenno-Nauchnaya Ser., 24:1 (2018), 47–50
Citation in format AMSBIB
\Bibitem{Sok18}
\by A.~A.~Sokurov
\paper Capillary rise with size-dependent surface tension and contact angle
\jour Vestnik SamU. Estestvenno-Nauchnaya Ser.
\yr 2018
\vol 24
\issue 1
\pages 47--50
\mathnet{http://mi.mathnet.ru/vsgu569}
\crossref{https://doi.org/10.18287/2541-7525-2018-24-1-47-50}
\elib{https://elibrary.ru/item.asp?id=35121927}
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