Interfacial tension measurements using a new axisymmetric drop/bubble shape technique
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AuthorCabrerizo Vílchez, Miguel Ángel; Fernández, J. R.; Fernández Rodríguez, Miguel Ángel; García Río, L.; Muñiz, M. C.; Nuñez, Cristina
The Royal Society of Chemistry
Cabrerizo-Vilchez, M. A., Fernández, J. R., Fernández-Rodríguez, M. A., García-Río, L., Muñiz, M. C., & Núñez, C. (2019). Interfacial tension measurements using a new axisymmetric drop/bubble shape technique. RSC advances, 9(28), 16187-16194.
SponsorshipThis work has been supported by Ministerio de Economía y Competitividad under the Projects MTM2015-66640-P, CTQ2014-55208-P, CTQ2017-84354-P and PGC2018-096696-B-I00, Xunta de Galicia (GR 2007/085; IN607C 2016/03 and Centro singular de investigación de Galicia accreditation 2016-2019, ED431G/09) and the European Union (European Regional Development Fund-ERDF), is gratefully acknowledged.
This paper introduces a new mathematical model that is used to compute either the interfacial tension of quiescent axisymmetric pendant/sessile drops and pendant/captive bubbles. This model consists of the Young–Laplace equation, that describes interface shape, together with suitable boundary conditions that guarantee a prescribed volume of drops/bubbles and a fixed position in the capillary. In order to solve the problem numerically, the Young–Laplace equation is discretized by using numerical differentiation and the numerical solutions are obtained applying the well-know Newton method. The paper contains a validation of the new methodology presented for what theoretical bubble/drops are used. Finally, some numerical results are presented for both drops and bubbles of water as well as several surfactant solutions to demonstrate the applicability, versatility and reproducibility of the proposed methodology.