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On the cyclone-anticyclone asymmetry in the stability of rotating shear flows

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Abstract

The manifestations of the cyclone-anticyclone asymmetry on the stability of rotating shear flows are investigated both theoretically and experimentally. The stability of certain classes of shear flows, namely, rotating tangential discontinuities and flows with a constant shear, is analyzed. The dependence of the disturbance growth rate on the sign and absolute value of the shear is determined. The three-dimensional disturbances leading to longitudinal flow modulations are shown to be most dangerous. The results of the observations of the cyclone-anticyclone asymmetry effect in the laboratory conditions are presented.

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References

  1. L. A. Dikii, Hydrodynamic Stability and Dynamics of the Atmosphere [in Russian], Gidrometeoizdat, Leningrad (1976).

    Google Scholar 

  2. F. V. Dolzhanskii, V. A. Krymov, and D. Yu. Manin, “Stability and Vortex Structures of Quasi-Two-Dimensional Shear Flows,” Usp. Fiz. Nauk 160 7, 1 (1990).

    Article  Google Scholar 

  3. J. Pedlosky, Geophysical Fluid Dynamics, Springer, Berlin & New York (1987).

    Book  MATH  Google Scholar 

  4. D. Cushman-Roisin and J. M. Beckers, Introduction to Geophysical Fluid Dynamics. Physical and Numerical Aspects, Acad. Press, New York (2009).

    MATH  Google Scholar 

  5. J.-B. Flor (ed.), Fronts, Waves and Vortices in Geophysical Flows. Lecture Notes in Physics. Vol. 805, Springer, Berlin (2010).

    Google Scholar 

  6. Lin Yuh-Lang, Mesoscale Dynamics, Cambridge Univ. Press, Cambridge (2007).

    Google Scholar 

  7. M. Mak, Atmospheric Dynamics, Cambridge Univ. Press, Cambridge (2011).

    Book  MATH  Google Scholar 

  8. J. C. McWilliams, Fundamentals of Geophysical Fluid Dynamics, Cambridge Univ. Press, Cambridge (2011).

    MATH  Google Scholar 

  9. M. V. Kalashnik, “Theory of Stability of Rotating Shear Flows,” Fluid Dynamics 42 3, 376 (2007).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  10. J. A. Johnson, “The Stability of Shearing Motion in a Rotating Fluid,” J. Fluid Mech. 17, 337 (1963).

    Article  ADS  MathSciNet  Google Scholar 

  11. P. G. Drazin, Introduction to Hydrodynamic Stability, Cambridge Univ. Press, Cambridge (2002).

    Book  MATH  Google Scholar 

  12. M. V. Kalashnik, “Criteria of the Symmetric and Asymmetric Stability of Geostrophic and Gradient Flows of a Stratified Rotating Fluid,” Dokl. Ross. Akad. Nauk 371, 383 (2006).

    MathSciNet  MATH  Google Scholar 

  13. A. E. Gledzer, E. B. Gledzer, A. A. Khapaev, and O. G. Chkhetiani, “ExperimentalDetection of the Blockage of Vortex Transport and Rossby Waves under MHD Excitation of Quasi-Two-Dimensional Flows in a Rotating Cylindrical Reservoir,” Pisma Zh. Tekhn. Fiz. 97 6, 359 (2013).

    Google Scholar 

  14. V. A. Dovzhenko, A. M. Obukhov, and V. M. Ponomarev, “Generation of Vortices in an Axisymmetric Shear Flow,” Fluid Dynamics 16 4, 510 (1981).

    Article  ADS  MATH  Google Scholar 

  15. Sh. A. Peizulaev, Development of a Software- and Hardware-Based Complex for Measuring the Velocity Field Parameters in a Turbulent Flow Using PIV Technologies, [in Russian], Moscow Physical-Technical Inst. (2003).

    Google Scholar 

  16. M. V. Nezlin and E. N. Snezhkin, Rossby Vortices and Spiral Structures [in Russian], Nauka, Moscow (1990).

    Google Scholar 

  17. D. N. Elkin and A. G. Zatsepin, “Laboratory Investigation of the Shear Instability Mechanism of Coastal Sea Flows,” Okeanologiya 54, 614 (2014).

    Google Scholar 

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Correspondence to M. V. Kalashnik.

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Original Russian Text © M.V. Kalashnik, A.A. Khapaev, O.G. Chkhetiani, 2016, published in Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, 2016, Vol. 51, No. 2, pp. 44–55.

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Kalashnik, M.V., Khapaev, A.A. & Chkhetiani, O.G. On the cyclone-anticyclone asymmetry in the stability of rotating shear flows. Fluid Dyn 51, 167–179 (2016). https://doi.org/10.1134/S0015462816020058

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