Abstract
A method dedicated to the measurement of low surface tension coefficients in binary fluids is proposed. The method which is not intrusive and does not interfere with the volume/weight proportion of liquid composing the binary mixture utilizes excitation of progressive capillary waves by pulsed radiation pressure force of focused ultrasound beam. A known dispersion relationship for gravity-capillary waves is used to evaluate the surface tension coefficient. The experiments are carried out in microgravity conditions in order to make the capillary term of the relationship strongly dominant and thus to reduce artifacts in acquired data.
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Ancherbak, S., Yasnou, V., Mialdun, A., Shevtsova, V.: Coexistence curve, density, and viscosity for the binary system of perfluorohexane+ silicone oil. J. Chem. Eng. Data 63(8), 3008–3017 (2018)
Benjamin, T.B., Ursell, F.: The stability of the plane free surface of a liquid in vertical periodic motion. Proc. R. Soc. London, Ser. A 225(1163), 505–515 (1954)
Cabane, B., Sylvie, H.: Liquides. Solutions, Dispersions, émulsions, Gels Belin (2015)
Cinbis, C., Khuri-Yakub, B.T.: A noncontacting technique for measuring surface tension of liquids. Rev. Sci. Instrum. 63(3), 2048–2050 (1992)
Diwakar, S. V., Jajoo, V., Amiroudine, S., Matsumoto, S., Narayanan, R., Zoueshtiagh, F.: Influence of capillarity and gravity on confined faraday waves. Phys. Rev. Fluids 3, 073902 (2018)
Faraday, M.: On a peculiar class of acoustical figures; and on certain forms assumed by groups of particles upon vibrating elastic surfaces. Philos. Trans. R. Soc. London 121, 299–340 (1831)
Fauve, S, Kumar, K, Laroche, C, Beysens, D, Garrabos, Y.: Parametric instability of a liquid-vapor interface close to the critical point. Phys. Rev Lett. 68(21), 3160 (1992)
Hamilton, M.F., Blackstock, D.T., et al.: Nonlinear Acoustics, vol. 1. Academic Press, San Diego (1998)
He, P.: Direct measurement of ultrasonic dispersion using a broadband transmission technique. Ultrasonics 37(1), 67–70 (1999). ISSN 0041-624X
Hyers, R.W., Rogers, J.R.: A review of electrostatic levitation for materials research. High Temp. Mater. Processes 27(6), 461–474 (2008)
Kumar, A., Krishnamurthy, H.R., Gopal, E.S.R.: Equilibrium critical phenomena in binary liquid mixtures. Phys. Rep. 98(2), 57–143 (1983)
Kumar, K., Tuckerman, L.S.: Parametric instability of the interface between two fluids. J. Fluid Mech. 279, 49–68 (1994)
Marple, L.: Computing the discrete-time analytic signal via fft. IEEE Trans. Signal Process. 47(9), 2600–2603 (1999)
Passerone, A.: Twenty years of surface tension measurements in space. Microgravity Sci. Technol. 23(2), 101–111 (2011). ISSN 1875-0494. https://doi.org/10.1007/s12217-010-9198-5
Pojman, J.A., Whitmore, C., Liveri, M.L.T., Lombardo, R., Marszalek, J., Parker, R., Zoltowski, B.: Evidence for the existence of an effective interfacial tension between miscible fluids Isobutyric acid- water and 1-butanol- water in a spinning-drop tensiometer. Langmuir 22(6), 2569–2577 (2006)
Rayleigh, J.W.S.B: The theory of sound, volume 2 Macmillan (1896)
Rhim, W.-K., Ohsaka, K., Paradis, P.-F., Erik Spjut, R.: Noncontact technique for measuring surface tension and viscosity of molten materials using high temperature electrostatic levitation. Rev. Sci. Instrum. 70(6), 2796–2801 (1999)
Someya, S., Munakata, T.: Measurement of the interface tension of immiscible liquids interface. J. Cryst. Growth 275(1), e343–e348 (2005). ISSN 0022-0248. Proceedings of the 14th International Conference on Crystal Growth and the 12th International Conference on Vapor Growth and Epitaxy
Stauffer, C.E.: The measurement of surface tension by the pendant drop technique. J. Phys. Chem. 69(6), 1933–1938 (1965)
Thomson, W.: Xlvi. hydrokinetic solutions and observations. The London hydrokinetic Edinburgh, and Dublin Philosophical Magazine and Journal of Science 42(281), 362–377 (1871)
Tyson, W.R., Miller, W.A.: Surface free energies of solid metals estimation from liquid surface tension measurements. Surf. Sci. 62(1), 267–276 (1977)
Vibhor, J.: Faraday instability in binary fluids. Phd Thesis, University of Bordeaux, France (2016)
Ward, K.: Faraday instability in mechanically and electrically forced system fluids. PhD thesis, University of Florida, USA (2018)
Acknowledgements
This research was carried out within the scope of the International Associated Laboratory on Critical & Supercritical phenomena in Functional Electronics, Acoustics & Fluidics - LIA LICS. The work was supported in part by the French National Space Agency (CNES), the Program of Invited professors of Centrale Lille and by the Presidium of RAS (Program I.7 “Modern problems of photonics, the probing of inhomogeneous media and materials”). Parabolic flight campaigns were provided by CNES and the European Space Agency (ESA). The authors are thankful to Prof. Olivier Bou Matar (Centrale Lille) who kindly provided his source code developed for evaluation of sound velocity dispersion and to Prof. Yuri Pylnov (MIREA) for his advises on data statistics.
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Krutyansky, L., Brysev, A., Zoueshtiagh, F. et al. Measurements of Interfacial Tension Coefficient Using Excitation of Progressive Capillary Waves by Radiation Pressure of Ultrasound in Microgravity. Microgravity Sci. Technol. 31, 723–732 (2019). https://doi.org/10.1007/s12217-019-9700-7
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DOI: https://doi.org/10.1007/s12217-019-9700-7