Skip to main content
SpringerLink
Log in

Derivation and numerical solution of a closed equation for the specific isoscalar-surface area in a turbulent reactive flow

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

Based on the equation obtained earlier for the joint probability density function of the fluctuations of an isotropic turbulent scalar field of a reagent and its gradient[Inzh.-Fiz. Zh., 71, No. 5, 827–849 (1998)] the authors derived and numerically solved an equation for the specific isoscalar-surface area Σt(Γ) in a turbulent reactive flow. The equation for Σt(Γ) contains the single-point probability density function for pulsations of a reactive scalar and the time function that depend on the distribution of the energy of turbulent velocity pulsations and the intensity of scalar reagent pulsations by different length scales. The corresponding equations are written for all these functions.

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

References

  1. V. A. Sosinovich, V. A. Babenko, and Yu. V. Zhukova,Inzh.-Fiz. Zh.,71, No. 5, 827–849 (1998).

    Google Scholar 

  2. F. A. Williams, in: S. N. B. Murty (ed.),Turbulent Mixing in Nonreactive and Reactive Flows, New York (1975), pp. 189–208.

  3. N. Peters, in:21st Symp. (Int.) on Combustion (1986), pp. 1231–1250.

  4. F. E. Marble and J. B. Broadwell,Report TRW-9-PU (1977).

  5. S. B. Pope, in:23rd Symp. (Int.) on Combustion, Orlean (1990), pp. 591–612.

  6. A. Trouve and T. Poinsot,J. Fluid Mech.,278, 1–31 (1994).

    Article  MATH  Google Scholar 

  7. L. Vervisch, E. Bidaux, K. N. Bray, and W. Kollmann,Phys. Fluids,7, No. 10, 2496–2503 (1995).

    Article  MATH  Google Scholar 

  8. A. D. Zaezdnyi,Principles of Calculations on Statistical Radio Engineering [in Russian], Moscow (1969).

  9. V. A. Babenko, V. A. Sosinovich, and Yu. V. Zhukova,Inzh.-Fiz. Zh.,72, No. 2, 275–288 (1999).

    Google Scholar 

  10. V. A. Sosinovich, V. A. Kolovandin, V. A. Tsyganov, and G. Meola,Int. J. Heat Mass Transfer,30, 515 (1987).

    Article  Google Scholar 

  11. A. A. Samarskii and P. N. Vabishchevich,Computational Heat Transfer, Vols. 1 and 2, New York (1996).

  12. R. Latters and J. L. Lions, in:The Method of Quasimapping and Its Applications [Russian translation], Moscow (1970), p. 336.

  13. A. N. Tikhonov and V. Ya. Arsenin,Solution of Incorrect Problems [in Russian], Moscow (1972).

  14. L. A. Kozdoba and P. G. Krukovskii,Solution Methods for Inverse Heat-Transfer Problems [in Russian], Kiev (1982).

  15. IMSL PDE/PROTRAN User’s Manual Ed. 1.0, Houston, IMLS (1986).

  16. E. E. O’Brien and Tai-Lun Jiang,Phys. Fluids,A3, No. 12, 3121–3123 (1991).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Academic Scientific Complex "A. V. Luikov Heat and Mass Transfer Institute", National Academy of Sciences of Belarus, Minsk, Belarus

    V. A. Sosinovich, V. A. Babenko & Yu. V. Zhukova

Authors
  1. V. A. Sosinovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. A. Babenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yu. V. Zhukova
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 73, No. 3, pp. 585–599, May–June, 2000.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sosinovich, V.A., Babenko, V.A. & Zhukova, Y.V. Derivation and numerical solution of a closed equation for the specific isoscalar-surface area in a turbulent reactive flow. J Eng Phys Thermophys 73, 573–588 (2000). https://doi.org/10.1007/BF02681801

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02681801

Keywords

Search

Navigation