We show that if the droplet size is not so large compared to the thickness of the surface layer (micro- or nanodroplets), the dependence of the surface tension on the curvature is very important.
📌 3 Maddede Bu Makale
🎯
Amaç & Hipotez:In this paper, using the Gibbs dividing surface method, the formula that determines the curvature-dependent surface tension in a system with two phases is deduced.
📊
Temel Bulgular & Veri:The well-known Tolman formula is a special case for this formula.
💡
Sonuç & Katkı:We show that if the droplet size is not so large compared to the thickness of the surface layer (micro- or nanodroplets), the dependence of the surface tension on the curvature is very important.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Sessile drop · surface tension · capillary pressure
Abstract
In this paper, using the Gibbs dividing surface method, the formula that determines the curvature-dependent surface tension in a system with two phases is deduced. The well-known Tolman formula is a special case for this formula. The problem of a sessile droplet is considered. The Bashforth-Adams equation analogue in view of the curvaturedependent surface tension is obtained and the numerical solution of the equation is carried out. We show that if the droplet size is not so large compared to the thickness of the surface layer (micro- or nanodroplets), the dependence of the surface tension on the curvature is very important.
REKHVIASHVILI, S., SOKUROV, A. (2018). Modeling of a sessile droplet with the curvature dependence of surface tension. Turkish Journal of Physics, Cilt: 42 - Sayı: 6, 699–705. https://ajindex.com/articles/378320
Ono, S.; Kondo, S. Molecular Theory of Surface Tension in Liquids; Springer: Berlin, Germany, 1960.
Rowlinson, J. S.; Widom, B. Molecular Theory of Capillarity; Oxford University Press:
Oxford, UK, 1989.
Tolman, R. C. J. Chem. Phys. 1949, 17, 333-337.
Rekhviashvili, S. Sh.; Kishtikova, E. V. Tech. Phys. 2011, 56, 143-146.
Edel, J.; de Mello, A. Nanofluidics: Nanoscience and Nanotechnology; RSC Publishing: London, UK, 2008.
Kalova, J.; Mares, R. Int. J. Thermophys. 2015, 36, 2862-2868.
Burian, S.; Isaiev, M.; Termentzidis, K.; Sysoev, V.; Bulavin, L. Phys. Rev. E 2017, 95, 062801. Block, B. J.; Das, S. K; Oettel, M.; Virnau, P.; Binder, K. J. Chem. Phys. 2010, 133, 154702. Rekhviashvili, S. Sh. Tech. Phys. Lett. 2012, 38, 1007-1009.
Adamson, A. W.; Gast, A. P. Physical Chemistry of Surfaces; John Wiley & Sons: New York, NY, USA, 1997.
Jaycock, M. J.; Parfitt, G. D. Chemistry of Interfaces; John Wiley & Sons: New York, NY, USA, 1981.
Rusanov, A. I.; Prokhorov, V. A. Interfacial Tensiometry; Elsevier: Amsterdam, the Netherlands, 1996.
Minoru, M.; Hideki, K.; Tomohisa, Y.; Morio, O. Langmuir 2000, 16, 4293-4299.
Barisik, M.; Beskok, A. Mol. Simul. 2015, 39, 700-709.
Isaiev, M.; Burian, S.; Bulavin, L.; Chaze, W.; Gradeck, M.; Castanet, G.; Termentzidis, K. J. Phys. Chem. B 2018, 122, 3176-3183.
Isaiev, M.; Burian, S.; Bulavin, L.; Gradeck, M.; Lemoine, F.; Termentzidis, K. Mol. Simul. 2016, 42, 910-915.
Leroy, F.; Liu, S.; Zhang, J. J. Phys. Chem. C 2015, 119, 28470-28481.
Werder, T.; Walther, J. H.; Jaffe, R. L. J. Phys. Chem. B 2003, 107, 1345-1352.
Hidy, G. M.; Brock, J. R. Topics in Current Aerosol Research; Pergamon Press: