Abstract
This work discusses the role of gravity on the shape of interfacial waves between miscible liquids under horizontal vibrations. A big difference in the shape of an interfacial pattern has recently been observed in low-gravity experiments when compared to earth-based one. The evolution of an interfacial pattern from zero to normal gravity is discussed in the context of non-linear simulations in a confined system. The development of vibration-induced frozen waves with gravity is characterized by three distinct regimes that are associated with the wave height and the angle at the vertices of saw-tooth shape of the interface.
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References
Beysens, D.: Critical point in space: a quest for universality. Microgravity sci. Tech. 26(4), 201–218 (2014)
Duval, W.M.B., Tryggvason, B.V.: Effects of G-Jitter on Interfacial Dynamics of Two Miscible Liquids: Application of MIM, NASA/TM2000-209789
Gandikota, G., Chatain, D., Amiroudine, S., Lyubimova, T., Beysens, D.: Frozen-wave instability in near-critical hydrogen subjected to horizontal vibration under various gravity fields. Phys. Rev. E 89, 012309 (2014)
Gandikota, G., Chatain, D., Amiroudine, S., Lyubimova, T., Beysens, D.: Dynamic equilibrium under vibrations of h2 liquid-vapor interface at various gravity levels. Phys. Rev. E 89, 063003 (2014)
Gaponenko, Y., Shevtsova, V.: Mixing under vibrations in reduced gravity. Microgravity Sci. Tech. 20(3-4), 307–311 (2008)
Gaponenko, Y., Shevtsova, V.: Effects of vibrations on dynamics of miscible liquids. Acta Astronaut. 66, 174–182 (2010)
Gaponenko, Y., Torregrosa, M., Yasnou, V., Mialdun, A., Shevtsova, V.: Dynamics of the interface between miscible liquids subjected to horizontal vibration. J. Fluid Mech. 784, 342–372 (2015a)
Gaponenko, Y., Torregrosa, M., Yasnou, V., Mialdun, A., Shevtsova, V.: Interfacial pattern selection in miscible liquids under vibration. Soft Matter 11, 8221–8224 (2015b)
Ivanova, A. A., Kozlov, V. G., Evesque, P.: Interface dynamics of Immiscible fluids under horizontal vibrations. Fluid Dyn. 36(3), 362–368 (2001)
Jalikop, S. V., Juel, A.: Steep capillary-gravity waves in oscillatory shear-driven flows. J. Fluid Mech. 640, 131–150 (2009)
Lacaze, L., Guenoun, P., Beysens, D., Delsanti, M., Petitjeans, P., Kurowski, P.: Transient surface tension in miscible liquids. Phys. Rev. E 82, 04160 (2010)
Lappa, M.: The patterning behaviour and accumulation of spherical particles in a vibrated non-isothermal liquid. Phys. Fluids 26, 093301 (2014)
Lappa, M.: Control of convection patterning and intensity in shallow cavities by harmonic vibrations. Microgravity Sci. Technol. (2015). doi:10.1007/s12217-015-9467-4
Legendre, M., Petitjeans, P., Kurowski, P.: Instabilités linterface entre fluides miscibles par forcage oscillant horizontal. C. R. Méc. 331, 617–622 (2003)
Lyubimova, T., Beysens, D., Gandikota, G., Amiroudine, S.: Vibration effect on a thermal front propagation in a square cavity filled with incompressible fluid. Microgravity sci. Tech. 26(3), 51–56 (2014)
Mazzoni, S., Shevtsova, V., Mialdun, A., Melnikov, D., Gaponenko, Y. u., Lyubimova, T., Saghir, M. Z.: Vibrating liquids in space. Europhys. News 41(6), 14–16 (2010)
Melnikov, D. E., Ryzhkov, I. I., Mialdun, A., Shevtsova, V.: Thermovibrational convection in microgravity: Preparation of a parabolic flight experiment. Microgravity sci. Tech. 20, 29–39 (2008)
Mialdun, A., Ryzhkov, I. I., Melnikov, D. E., Shevtsova, V.: Experimental evidence of thermal vibrational convection in a non-uniformly heated fluid in a reduced gravity environment. Phys. Rev. Lett. 101, 084501 (2008)
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, 2569–2577 (2006)
Pojman, J. A., Chekanov, Y., Wyatt, V., Bessonov, N., Volpert, V.: Numerical Simulations of Convection Induced by Korteweg Stresses in a Miscible Polymer- Monomer System: Effects of Variable Transport Coefficients, Polymerization Rate and Volume Changes. Microgravity Sci. Tech. 21, 225–237 (2009)
Shevtsova, V., Ryzhkov, I. I., Melnikov, D. E., Gaponenko, Y. A., Mialdun, A.: Experimental and theoretical study of vibration-induced thermal convection in low gravity. J. Fluid. Mech. 648, 53–82 (2010)
Shevtsova, V., Gaponenko, Y. A., Sechenyh, V., Melnikov, D. E., Lyubimova, T., Mialdun, A.: Dynamics of a binary mixture subjected to a temperature gradient and oscillatory forcing. J. Fluid Mech. 767, 290–322 (2015a)
Shevtsova, V., Gaponenko, Y. A., Yasnou, V., Mialdun, A., Nepomnyashchy, A.: Wall-generated pattern on a periodically excited miscible liquid/liquid interface. Langmuir 31, 5550–5553 (2015b)
Talib, E., Jalikop, S. V., Juel, A.: The influence of viscosity on the frozen wave instability: theory and experiment. J. Fluid Mech. 584, 45–68 (2007)
Yoshikawa, H. N., Wesfreid, J. E.: Oscillatory Kelvin-Helmholtz instability. Part 2. An experiment in fluids with a large viscosity contrast. J. Fluid Mech. 675, 249–267 (2011)
Vorobev, A.: Dissolution dynamics of miscible liquid/liquid interfaces. Curr. Opin. Colloid Interface Sci. 19, 300–308 (2014)
Wolf, G. H.: The dynamic stabilization of the Rayleigh-Taylor Instability and the corresponding dynamic equilibrium. Z. Physik. 227, 291–300 (1969)
Wunenburger, R., Evesque, P., Chabot, C., Garrabos, Y., Fauve, S., Beysens, D.: Frozen wave induced by high frequency horizontal vibrations on a CO2 liquid-gas interface near the critical point. Phys. Rev. E 59, 5440–5445 (1999)
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This work is supported by the PRODEX programme of the Belgian Federal Science Policy Office, ESA.
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This article belongs to the Topical Collection: Advances in Gravity-related Phenomena in Biological, Chemical and Physical Systems
Guest Editors: Valentina Shevtsova, Ruth Hemmersbach
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Gaponenko, Y., Shevtsova, V. Shape of Diffusive Interface Under Periodic Excitations at Different Gravity Levels. Microgravity Sci. Technol. 28, 431–439 (2016). https://doi.org/10.1007/s12217-016-9499-4
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DOI: https://doi.org/10.1007/s12217-016-9499-4