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Development of vortical motions of an incompressible fluid in the cavity of a rotating body

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Abstract

Vortical nonstationary viscous incompressible flows in the space between coaxial cylinders or hemispherical segments rotating with a constant angular acceleration about a stationary axis of symmetry are analyzed numerically for Reynolds numbers Re — 1–10. It is shown that laminar circulating motions are realized. Two vortices form in the flow. The positions of these vortices depend substantially on the geometry of the rotating cavity.

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References

  1. N. E. Zhukovskii, “On the motion of a body with cavities filled with a dropping liquid,” in:Collected Works, Vol. 2 [in Russian], Gostekhteorizdat, Moscow, 152 (1949).

    Google Scholar 

  2. N. N. Moiseev and V. V. Rumyantsev,Dynamics of a Body with Cavities Containing a Liquid [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  3. O. M. Belotserkovskii,Numerical Simulation in Continuum Mechanics [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  4. F. H. Harlow and J. E. Welch, “Numerical calculation of time-dependent viscous incompressible flow of a fluid with a free surface,”Phys. Fluids, Vol. 8, No. 12, 2182 (1965).

    Google Scholar 

  5. M. I. Gradoboev, I. N. Larina, V. A. Rykov, and E. M. Shakhov, “Vortical motions of an incompressible fluid in a cylindrical cavity of a body rotating with a constant acceleration,”Dokl. RAN, Vol. 330, No. 2, 180 (1993).

    Google Scholar 

  6. M. I. Gradoboev, I. N. Larina, V. A. Rykov, and E. M. Shakhov, “Analysis of nonstationary vortical motions of a viscous incompressible fluid in the cavity of a rotating body,”Zh. Vychisl. Matem. Mat. Phys., Vol. 34, No. 3, 415 (1994).

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Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 47–52, March–April, 1995.

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Gradoboev, M.I., Larina, I.N., Popov, S.P. et al. Development of vortical motions of an incompressible fluid in the cavity of a rotating body. Fluid Dyn 30, 195–199 (1995). https://doi.org/10.1007/BF02029829

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  • DOI: https://doi.org/10.1007/BF02029829

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