Skip to main content
SpringerLink
Log in

Large-scale turbulence in a thin layer of nonisothermal rotating fluid

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

The dynamics of large-scale nonisothermal turbulence in a thin rotating layer of fluid are investigated. An hierarchical model, obtained by averaging the initial Boussinesq equations with respect to the vertical coordinates and subsequently projecting the two-dimensional equations onto a basis consisting of a system of axisymmetric spiral vortices of progressively decreasing scale, is proposed. It is shown that the presence of horizontal temperature inhomogeneities leads to a considerable increase in the turbulence decay time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Literature cited

  1. A. Hill, Dynamics of the Atmosphere and the Oceans, Vols. 1 and 2 [Russian translation], Mir, Moscow (1986).

    Google Scholar 

  2. L. D. Landau and E. M. Lifshitz, Theoretical Physics, Vol. 6. Hydrodynamics [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  3. S. N. Aristov and V. D. Zimin, “Advective waves in a rotating spherical layer,” Preprint No. 145 [in Russian], UNTs AN SSSR, Sverdlovsk (1986).

    Google Scholar 

  4. S. N. Aristov and P. G. Frik, “Dynamics of large-scale flows in thin layers of fluid,” Preprint No. 99 [in Russian], Urals Branch USSR Academy of Sciences, Sverdlovsk (1987).

    Google Scholar 

  5. S. N. Aristov and V. D. Zimin, “Advective flows on a rotating self-gravitating sphere,” in: Viscous Fluid Dynamics [in Russian], Urals Branch USSR Academy of Sciences, Sverdlovsk (1987), p. 4.

    Google Scholar 

  6. P. Rains, “Geostrophic turbulence,” in: Eddies and Waves [Russian translations], Mir, Moscow (1984), p. 153.

    Google Scholar 

  7. V. D. Zimin, “Hierarchical model of turbulence,” Izv. Akad. Nauk SSSR, Fiz. Atmos. Okeana,17, 1265 (1981).

    Google Scholar 

  8. P. G. Frik, “Hierarchical model of two-dimensional turbulence,” Magn. Gidrodin., No. 1, 60 (1983).

    Google Scholar 

  9. P. G. Frik, “Modeling cascade processes in two-dimensional turbulent convection,” Zh. Prikl. Mekh. Tekh. Fiz., No. 2, 71 (1986).

    Google Scholar 

  10. P. G. Frik, “Two-dimensional magnetohydrodynamic turbulence. A hierarchical model,” Magn. Gidrodin., No. 3, 48 (1984).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Perm'

    S. N. Aristov & P. G. Erik

Authors
  1. S. N. Aristov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. G. Erik
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 48–55, July–August, 1988.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aristov, S.N., Erik, P.G. Large-scale turbulence in a thin layer of nonisothermal rotating fluid. Fluid Dyn 23, 522–528 (1988). https://doi.org/10.1007/BF01055074

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01055074

Keywords

Search

Navigation