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Instability of the Flow in a Spherical Layer under Torsional Oscillations of the Inner Boundary

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Abstract

The instability of viscous incompressible fluid flows caused in a thin spherical layer by torsional oscillations of the inner sphere in a thin spherical layer with respect to the sate of rest is studied numerically. It has been established that an increase in the frequency of torsional oscillations leads to a change in the mode of the instability, with a transition from secondary flows in the form of Taylor vortices to structures not observed earlier. The revealed instability is observed in the frequency range from 0.61 to 2.45 Hz or, if the wavelengths are taken relative to the layer thickness, from 0.67 to 1.33.

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References

  1. M. Fardin, C. Perge, L. Casanellas, T. Hollis, N. Taberlet, J. Ortin, S. Lerouge, and S. Manneville, Rheol. Acta 53, 885 (2014).

    Article  Google Scholar 

  2. M. Jaffrin, Ann. Rev. Fluid Mech. 44, 77 (2012).

    Article  ADS  MathSciNet  Google Scholar 

  3. D. Yu. Zhilenko and O. E. Krivonosova, Tech. Phys. Lett. 41, 5 (2015).

    Article  ADS  Google Scholar 

  4. D. A. Bountin and A. A. Maslov, Tech. Phys. Lett. 43, 623 (2017).

    Article  ADS  Google Scholar 

  5. M. Fardin, C. Perge, N. Taberlet, and S. Manneville, Phys. Rev. E 89, 011001 (2014).

    Article  ADS  Google Scholar 

  6. R. Hollerbach, R. Wiener, I. Sullivan, R. Donnelly, and C. Barenghi, Phys. Fluids 14, 4192 (2002).

    Article  ADS  MathSciNet  Google Scholar 

  7. Yu. N. Belyaev and I. M. Yavorskaya, Itogi Nauki Tekh., Ser. Mekh. Zhidk. Gaza 15, 3 (1980).

    Google Scholar 

  8. N. Nikitin, J. Comp. Phys. 217, 759 (2006).

    Article  ADS  Google Scholar 

  9. O. E. Krivonosova, Extended Abstract of Cand. Sci. Dissertation (Mosc. State Univ., Moscow, 2007).

    Google Scholar 

  10. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 6: Fluid Mechanics (Nauka, Moscow, 1986; Pergamon, New York, 1987).

    Google Scholar 

  11. D. Yu. Zhilenko and O. E. Krivonosova, JETP Lett. 104, 527 (2016).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State University, Moscow, 119899, Russia

    D. Yu. Zhilenko & O. E. Krivonosova

Authors
  1. D. Yu. Zhilenko
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  2. O. E. Krivonosova
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Correspondence to O. E. Krivonosova.

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Original Russian Text © D.Yu. Zhilenko, O.E. Krivonosova, 2018, published in Pis’ma v Zhurnal Tekhnicheskoi Fiziki, 2018, Vol. 44, No. 11, pp. 3–10.

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Zhilenko, D.Y., Krivonosova, O.E. Instability of the Flow in a Spherical Layer under Torsional Oscillations of the Inner Boundary. Tech. Phys. Lett. 44, 457–460 (2018). https://doi.org/10.1134/S1063785018060147

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  • DOI: https://doi.org/10.1134/S1063785018060147

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