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Numerical simulation of spherical couette flow asymmetric relative to the plane of the equator

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Literature cited

  1. G. N. Khlebutin, “The stability of motion of a fluid between concentric spheres, one rotating and one immobile,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 53 (1968).

    Google Scholar 

  2. M. Wimmer, “Experiments on a viscous fluid flow between concentric rotating spheres,” J. Fluid Mech.,78, 317 (1976).

    Google Scholar 

  3. I. M. Yavorskaya, Yu. N. Belyaev, and A. A. Monakhov, “Stability research and secondary flows in rotating spherical layers at arbitrary Rossby numbers,” Dokl. Akad. Nauk SSSR,237, 804 (1977).

    Google Scholar 

  4. J.-P. Bonnet and T. Alziary de Roquefort, “Écoulement entre deux sphères concentriques en rotation,” J. Mec.,15, 373 (1976).

    Google Scholar 

  5. N. M. Astaf 'eva, N. D. Vvedenskaya, and I. M. Yavorskaya, “Nonlinear axisymmetric fluid flows in spherical layers,” Preprint No. 385 [in Russian], Institute of Cosmic Research, USSR Academy of Sciences, Moscow (1977), Dep. No. 717–78.

    Google Scholar 

  6. I. M. Yavorskaya, N. M. Astaf'eva, and N. D. Vvedenskaya, “The stability and nonuniqueness of fluid flows in rotating spherical layers,” Dokl. Akad. Nauk SSSR,241, 52 (1978).

    Google Scholar 

  7. N. M. Astaf'eva and I. M. Yavorskaya, “The numerical study of nonlinear axisymmetric motions of fluid in spherical layers,” in: Numerical Methods in the Dynamics of a Viscous Fluid [in Russian], Novosibirsk (1979), pp. 3–14.

  8. I. M. Yavorskaya and N. M. Astaf'eva, “Numerical analysis of the stability and nonuniqueness of spherical Couette flow,” Proc. Third GAMM-Conf. on numerical methods in fluid mechanics, 1979; in: Notes Numer. Fluid Mech., No. 2 (1980), pp. 305–315.

  9. F. Bartels and E. Krause, “Taylor vortices in spherical gaps,” Laminar-turbulent transition Symposium, Stuttgart, 1979, Springer-Verlag, Berlin (1980), pp. 415–425.

    Google Scholar 

  10. F. Bartels, “Taylor vortices between two concentric rotating spheres,” J. Fluid Mech.,119, 1 (1982).

    Google Scholar 

  11. N. M. Astaf'eva and V. A. Parshev, “The numerical solution of the Navier-Stokes equations in problems with spherical geometry,” in: Numerical Methods in the Mechanics of a Continuous Medium, Vol. 9 [in Russian], Novosibirsk (1978), pp. 12–18.

    Google Scholar 

  12. I. M. Yavorskaya, Yu. N. Belyaev, and A. A. Monakhov, “The experimental study of spherical Couette flow,” Dokl. Akad. Nauk SSSR,221, 1059 (1975).

    Google Scholar 

  13. Yu. N. Belyaev, A. A. Monakhov, and I. M. Yavorskaya, “The stability of spherical Couette flow in thick layers during rotation of the internal sphere,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 9 (1978).

    Google Scholar 

  14. Yu. N. Belyaev, A. A. Monakhov, G. N. Khlebutin, and I. M. Yavorskaya, “The stability and non-uniqueness of flow in rotating spherical layers,” Preprint No. 567 [in Russian], Institute of Cosmic Research, USSR Academy of Sciences, Moscow (1980).

    Google Scholar 

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Authors and Affiliations

  1. Moscow

    N. M. Astafn'eva

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  1. N. M. Astafn'eva
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Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkostii Gaza, No. 3, pp. 56–62, May–June, 1985.

In conclusion the author wishes to thank I. M. Yavorskaya for a useful discussion.

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Astafn'eva, N.M. Numerical simulation of spherical couette flow asymmetric relative to the plane of the equator. Fluid Dyn 20, 383–389 (1985). https://doi.org/10.1007/BF01049989

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