Abstract
The dynamics of a heavy cylindrical body in a liquid-filled horizontal cylindrical cavity with a time-varying rotation rate is experimentally investigated. The body is near the cavity boundary under a centrifugal force and undergoes solid-body rotation together with the liquid and the cavity at a fixed rotation rate. The dependence of the body dynamics on the amplitude and frequency of modulation of the rotation rate is investigated. It is found that at a critical amplitude of modulation (at definite frequency), the heavy body repulses from the cavity boundary and comes into a steady state at some distance from the wall. It is found that the average lift force (repulsive one) is generated by the azimuthal oscillation of the body in the rotating frame of reference and manifests itself at a distance comparable to the thickness of the viscous boundary layer. In the experiments, we observed azimuthal drift of the body due to asymmetric azimuthal oscillations of the body. In the limit of high frequency of the rotation rate modulation, the dependence of the lift force coefficient on the gap between the body and the wall is determined.
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References
V. N. Chelomei, “Paradoxes in Mechanics Caused by Vibrations,” Dokl. Akad. Nauk SSSR 270 (1), 62–67 (1983).
H. Lamb, Hydrodynamics (Cambridge University Press, Cambridge, 1932).
B. A. Lugovtsov and V. L. Sennitskii, “Motion of a Body in a Vibrating Liquid,” Dokl. Akad Nauk SSSR 289 (2), 314–317 (1986).
D. V. Lyubimov, T. P. Lyubimova, and A. A. Cherepanov, “On the Motion of a Solid Body in a Vibrating Liquid,” in Convective Flows (Perm. Ped. Inst., Perm, 1987), pp. 61–70 [in Russian].
A. A. Ivanova, V. G. Kozlov, A. F. Kuzaev, “Vibration Lift Force Acting on a Body in a Liquid near a Solid Surface,” Dokl. Akad. Nauk 402 (4), 488–491 (2005).
V. G. Kozlov, A. A. Ivanova, V. D. Schipitsyn, M. Stambouli, “Lift Force on the Cylinder in Viscous Liquid under Vibration,” Acta Astronaut. 79, 44–51 (2012).
A. A. Ivanova, V. G. Kozlov, and V. D. Shchipitsyn, “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)].
V. L. Sennitskii, “Interaction between a Liquid and a Cylindrical Body Touching a Wall,” Pisma Zh. Tekh. Fiz. 31 (20), 1–5 (2005).
O. A. Vlasova and V. G. Kozlov, “The Repulsion of Flat Body from the Wall of Vibrating Container Filled with Liquid,” Microgravity Sci. Technol. 27 (4), 297–303 (2015).
N. V. Kozlov and O. A. Vlasova, “Behaviour of a Heavy Cylinder in a Horizontal Cylindrical Liquid-Filled Cavity at Modulated Rotation,” Fluid Dyn. Res. 48 (5), 055503 (2016).
C. Sun, T. Mullin, L. van Wijngaarden, and D. Lohse, “Drag and Lift Forces on a Counter-Rotating Cylinder in Rotating Flow,” J. Fluid Mech. 664, 150–173 (2010).
L. D. Landau and E. M. Lifshits, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon Press, Oxford-Elmsford, New York, 1987).
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Original Russian Text © O.A. Vlasova, V.G. Kozlov, N.V. Kozlov
Translated from PrikladnayaMekhanika i Tekhnicheskaya Fizika, Vol. 59, No. 2, pp. 39–49, March–April, 2018.
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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 Phy 59, 219–228 (2018). https://doi.org/10.1134/S0021894418020050
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DOI: https://doi.org/10.1134/S0021894418020050