Abstract
The impact of vibrations on the dynamics of a system of two immiscible liquids filling a rotating container is studied experimentally. A horizontal cylindrical container is rotating at a rate sufficient for the liquids, whose densities are not equal, to become steadily distributed in the form of core and annulus. The vibrational motion of the container has a frequency virtually equal to that of rotation. It is demonstrated that at the coincidence of the frequencies the container’s oscillations lead to the transformation of the centrifugal field. As a result, the column of light liquid is shifted steadily in the rotating frame of reference. With the increase in the amplitude of vibrational forcing, in a threshold manner the liquid–liquid interface loses its axial symmetry, and a centrifugal wave emerges on it. The threshold of wave onset is determined by the dimensionless vibrational acceleration. The obtained results demonstrate a possibility to apply vibrations for the positioning of a liquid core in a rotating container and for the control of its dynamics.
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References
Gans, R.: On steady flow in a partially filled rotating cylinder. J. Fluid Mech. 82(3), 415–427 (1977)
Greenspan, H.: The Theory of Rotating Fluids. University Press, Cambridge (1968)
Greenspan, H.P.: On a rotational flow disturbed by gravity. J. Fluid Mech. 74, 335–351 (1976)
Hoyt, N.C., Kang, M.F., Lee, K.L., Kharraz, A., Kadambi, J., Kamotani, Y.: Study of steady and dynamic behavior of gas core of passive cyclonic separator for space applications. Microgravity Sci. Technol. 25, 187–200 (2013). https://doi.org/10.1007/s12217-013-9346-9
Ivanova, A., Kozlov, V., Chigrakov, A.: Dynamics of a fluid in a rotating horizontal cylinder. Fluid Dyn. 39(4), 594–604 (2004)
Ivanova, A.A., Kozlov, V.G., Polezhaev, D.A.: Vibrational dynamics of a centrifuged fluid layer. Fluid Dyn. 40(2), 297–304 (2005)
Karpunin, I.E., Kozlov, N.V.: Two-phase system in a rotating cylindrical cavity under the transverse vibrations. IOP Conf Series: Materials Science and Engineering 581, 012040 (2019). https://doi.org/10.1088/1757-899X/581/1/012040
Karpunin, I.E., Kozlova, A.N., Kozlov, N.V.: Behavior of a light solid in a rotating horizontal cylinder with liquid under vibration. Microgravity Sci. Technol. 30, 399–409 (2018). https://doi.org/10.1007/s12217-018-9622-9
Kozlov, N.V., Shuvalova, D.A.: Effect of vibration on two-liquid system in rotating cylinder. Acta. Astronaut 127, 561–571 (2016)
Kozlov, N.V., Kozlova, A.N., Shuvalova, D.A.: Dynamics of immiscible liquids in a rotating horizontal cylinder. Phys. Fluids 28, 112102 (2016). https://doi.org/10.1063/1.4966980
Kozlov, V., Subbotin, S., Shiryaeva, M.: Instabilities of steady flow in a rotating spherical cavity excited by inner core oscillation. Microgravity Sci. Technol. 31, 775–782 (2019). https://doi.org/10.1007/s12217-019-09706-w
Kozlov, V.G., Kozlov, N.V.: Vibrational hydrodynamic gyroscope. Doklady Phys. 52(8), 458–461 (2007)
Li, X., Anken, R., Liu, L., Wang, G., Liu, Y.: Effects of simulated microgravity on otolith growth of larval zebrafish using a rotating-wall vessel: appropriate rotation speed and fish developmental stage. Microgravity Sci. Technol. 29, 1–8 (2017). https://doi.org/10.1007/s12217-016-9518-5
Phillips, O.M.: Centrifugal waves. J. Fluid Mech. 7(3), 340–352 (1960)
Vjatkin, A.A., Kozlov, V.G., Sabirov, R.R.: Convection of a heat-generating fluid in a rotating cylindrical cavity subject to transverse vibrations. Int. J. Therm. Sci. 137, 560–570 (2019). https://doi.org/10.1016/j.ijthermalsci.2018.12.008
Wu, X., Loraine, G., Hsiao, C.T., Chahine, G.L.: Development of a passive phase separator for space and earth applications. Sep. Purif. Technol. 189, 229–237 (2017). https://doi.org/10.1016/j.seppur.2017.08.017
Zaussinger, F., Canfield, P., Froitzheim, A., Travnikov, V., Haun, P., Meier, M., Meyer, A., Heintzmann, P., Driebe, T., Egbers, C.: Atmoflow – investigation of atmospheric-like fluid flows under microgravity conditions. Microgravity Sci. Technol. 31, 569–587 (2019). https://doi.org/10.1007/s12217-019-09717-7
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The research was supported by the Russian Science Foundation (project 18-71-10053).
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Karpunin, I., Kozlov, N. Dynamics of Two-liquid System at Rotation and Vibration with Equal Frequencies. Microgravity Sci. Technol. 32, 973–982 (2020). https://doi.org/10.1007/s12217-020-09824-w
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DOI: https://doi.org/10.1007/s12217-020-09824-w