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Lift Force Acting on a Heavy Cylinder and a Steady Flow in an Unevenly Rotating Container

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Abstract

The dynamics of a heavy cylindrical body in a horizontal cylindrical cavity filled with a viscous liquid and subjected to modulated rotation is experimentally investigated. In experiment the cylinders with different moment of inertia are used. Periodic variation (modulation) of cavity rotation rate leads to the azimuthal oscillations of the body in a uniformly rotating reference frame due to viscous interaction with the cavity wall. It is found that near the cavity boundary an averaged repulsive (lift) force acts on an oscillating body. Experiments in a wide range of dimensionless frequency of rotation rate modulation demonstrate that lift force coefficient monotonically growth with frequency increase. The rotation rate modulation is found to be an effective tool to control the behavior of solids located near the rotating wall under microgravity conditions. The analysis of steady velocity field near the oscillating body reveals vortices in form of rolls localized outside the viscous boundary layers.

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References

  • Aleksandrov, V., Kopysov, S., Tonkov, L.: Vortex flows in the liquid layer and droplets on a vibrating flexible plate. Microgravity Sci. Technol. 30(1–2), 85–93 (2018)

    Article  Google Scholar 

  • Alhendal, Y., Turan, A.: Thermocapillary flow and coalescences of heterogeneous bubble size diameter in a rotating cylinder: 3D study. Microgravity Sci. Technol. 28(6), 639–650 (2016)

    Article  Google Scholar 

  • An, H., Cheng, L., Zhao, M.: Steady streaming around a circular cylinder near a plane boundary due to oscillatory flow. J. Hydraul. Eng. 137(1), 23–33 (2011)

    Article  Google Scholar 

  • Babushkin, I.A., Demin, V.A., Kondrashov, A.N., Pepelyaev, D.V.: Thermal convection in a Hele-Shaw cell under the action of centrifugal forces. Fluid Dynamics. 47(1), 10–19 (2012)

    Article  MathSciNet  Google Scholar 

  • Bezdenezhnykh, N. A., Briskman, V. A., Lapin, A. Y. Lyubimov, D. V., Lyubimova, T. P., Tcherepanov, A. A., Zakharov, I. V. The influence of high frequency tangential vibrations on the stability of the fluid interfaces in microgravity. Microgravity Fluid Mechanics. Springer, Berlin, Heidelberg.137–144 (1992)

  • Busse, F.H.: Zonal flow induced by longitudinal librations of a rotating cylindrical cavity. Physica D: Nonlinear Phenomena. 240(2), 208–211 (2011)

    Article  MathSciNet  Google Scholar 

  • Fernandez, J., Sánchez, P.S., Tinao, I., Porter, J., Ezquerro, J.M.: The CFVib experiment: control of fluids in microgravity with vibrations. Microgravity Sci. Technol. 29(5), 351–364 (2017)

    Article  Google Scholar 

  • Gershuni, G.Z., Lyubimov, D.V. Thermal vibrational convection. Wiley & Sons (1998)

  • Gershuni, G.Z., Zhukhovitskii, E.M.: Convective Stability of Incompressible Fluids. Keter, Jerusalem (1976)

    Google Scholar 

  • Grinspen, H. P. The Theory of Rotating Fluids. (1990)

  • Ivanova, A.A., Kozlov, V.G.: Dynamics of a spherical body in a liquid with rotational vibration of the cavity. Fluid Dynamics. 36(5), 701–711 (2001)

    Article  Google Scholar 

  • Ivanova, A. A., Kozlov, V. G., Shchipitsyn V. D. Lift force acting on a cylindrical body in a fluid near the boundary of a cavity performing translational vibrations. Prikl. Mekh. Tekh. Fiz. 55 (5), 55–63 (2014) [J. Appl. Mech. Tech. Phys. 55 (5), 773–780 (2014)]

  • 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(4), 399–409 (2018)

    Article  Google Scholar 

  • Kozlov, N.V., Vlasova, O.A.: Behavior of a heavy cylinder in a horizontal cylindrical liquid-filled cavity at modulated rotation. Fluid Dyn.Res. 48(5), 055503 (2016)

    Article  Google Scholar 

  • Kozlov, V.G. Solid-body dynamics in cavity with liquid under high-frequency rotational vibration. EPL (Europhysics Letters). 36 (9) 651 (1996)

  • Kozlov, V.G., Kozlov, N.V., Subbotin, S.V.: Motion of fluid and a solid core in a spherical cavity rotating in an external force field. In Doklady Physics. 59(1), 40–44 (2014)

    Article  Google Scholar 

  • Lappa, M. Rotating thermal flows in natural and industrial processes. John Wiley & Sons. (2012)

  • Podgorski, T., Callens, N., Minetti, C., Coupier, G., Dubois, F., Misbah, C.: Dynamics of vesicle suspensions in shear flow between walls. Microgravity Science and Technology. 23(2), 263–270 (2011)

    Article  Google Scholar 

  • Sauret, A., Cébron, D., Morize, C., Le Bars, M.: Experimental and numerical study of mean zonal flows generated by librations of a rotating spherical cavity. J. Fluid Mech. 662, 260–268 (2010)

    Article  Google Scholar 

  • Schlichting, H. Boundary Layer Theory. M.: Nauka, 712. (1974)

  • Strett, J. Theory of the sound: in 2 volumes. N. (1955)

  • Subbotin, S.V., Dyakova, V.V.: Inertial waves and steady flows in a liquid filled librating cylinder. Microgravity Sci. Technol. 30(4), 383–392 (2018)

    Article  Google Scholar 

  • Thielicke, W., Stamhuis, E.J.: PIVLAB-towards user-friendly, affordable and accurate digital particle image velocimetry in MATLAB. J. Open Res. Software. 2, e30 (2014)

    Article  Google Scholar 

  • Vlasova, O.A., Kozlov, V.G., Kozlov, N.V.: Lift force acting on a heavy solid in a rotating liquid-filled cavity with a time-varying rotation rate. J. Appl. Mech. Tech. Phys. 59(2), 219–228 (2018)

    Article  Google Scholar 

  • Wang, C.Y.: On high-frequency oscillatory viscous flows. J. Fluid Mech. 32(1), 55–68 (1968)

    Article  Google Scholar 

  • Yavorskaya, I.M., Belyaev, Y.N.: Hydrodynamical stability in rotating spherical layers: application to dynamics of planetary atmospheres. Actaastronautica. 13(6–7), 433–440 (1986)

    Article  Google Scholar 

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Acknowledgments

The work was supported by Russian Foundation for Basic Research (grant 18-31-00363). The authors are the members of the Science school № C-26/1191.

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Authors and Affiliations

  1. Laboratory of Vibrational Hydromechanics, Perm State Humanitarian Pedagogical University, 24, Sibirskaya, 614990, Perm, Russia

    Olga Vlasova, Ivan Karpunin & Maksim Solomennikov

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  1. Olga Vlasova
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  2. Ivan Karpunin
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  3. Maksim Solomennikov
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Correspondence to Olga Vlasova.

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Vlasova, O., Karpunin, I. & Solomennikov, M. Lift Force Acting on a Heavy Cylinder and a Steady Flow in an Unevenly Rotating Container. Microgravity Sci. Technol. 32, 889–896 (2020). https://doi.org/10.1007/s12217-020-09817-9

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