Skip to main content
Log in

On exact solutions for the semiempirical equation of turbulent diffusion and the second-order closure methods

  • Published:
Journal of Applied and Industrial Mathematics Aims and scope Submit manuscript

Abstract

A few exact solutions are obtained for the one-dimensional semiempirical equation of turbulent diffusion by the second-order closure methods. The data are compared with the solutions of the semiempirical equation closed by the simplest gradient hypothesis.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. A. S. Monin and A. M. Yaglom, Statistic Hydromechanics. Mechanics of Turbulence, Part 1 (Nauka, Moscow, 1965) [in Russian].

    Google Scholar 

  2. V. V. Penenko and A. E. Aloyan, Models and Methods in Environmental Problems (Nauka, Novosibirsk, 1985) [in Russian].

    Google Scholar 

  3. L. M. Galkin and A. I. Korneichuk, “A Direct Calculation Method for the Components of the Tensor of Turbulent Diffusion Coefficients,” in Dynamics of Ecological-Economic Systems (Nauka, Novosibirsk, 1982), pp. 18–31 [in Russian].

    Google Scholar 

  4. A. I. Borodulin, G. A. Maistrenko, and B. M. Chaldin, Statistical Description of the Process of Turbulent Diffusion of Aerosoles in the Atmosphere: the Method and Applications (Izd. Novosibirsk. Gos. Univ., Novosibirsk, 1992) [in Russian].

    Google Scholar 

  5. E. N. Teverovskii and E. S. Dmitriev, Transmission of Aerosol Particles by Turbulent Flows (Energoatomizdat, Moscow, 1988) [in Russian].

    Google Scholar 

  6. B. Rodi, “Models of Turbulence in the Environment,” in Methods of Computation of Turbulent Flows (Mir, Moscow, 1984), pp. 227–321 [in Russian].

    Google Scholar 

  7. G. I. Marchuk, Mathematical Modeling in Problems of the Environment (Nauka, Moscow, 1982) [in Russian].

    Google Scholar 

  8. A. N. Tikhonov and A. A. Samarskii, Partial Differential Equations (Nauka, Moscow, 1977) [in Russian].

    Google Scholar 

  9. V. M. Voloshchuk, “To a Question of the Nonlocal Parameterization of Turbulent Flows,” Meteorologiya i Gidrologiya, No. 7, 11–19 (1980).

  10. Turbulent Diffusion in the Lower Layer of the Atmosphere, Trudy Inst. Experiment. Meteorologii (Obninsk), Issue 29 (1984) [in Russian].

Download references

Author information

Authors and Affiliations

Authors

Additional information

Original Russian Text © A.I. Borodulin, B.M. Desyatkov, 2005, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2005, Vol. VIII, No. 3(23), pp. 18–23.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Borodulin, A.I., Desyatkov, B.M. On exact solutions for the semiempirical equation of turbulent diffusion and the second-order closure methods. J. Appl. Ind. Math. 1, 160–164 (2007). https://doi.org/10.1134/S1990478907020056

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1990478907020056

Keywords

Navigation