Skip to main content
Log in

On different methods for deriving hydrodynamic equations for chemically reacting gases

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

In recent years, various methods have been proposed for deriving hydrodynamic equations for chemically reacting gases from a generalized Boltzmann equation. The conclusions drawn by different authors often disagree, and there also a number of confusions about the relationship between the different approaches. It is therefore worth examining in more detail the significance of the basic assumptions and the limits of applicability of the various methods. The present paper is devoted to an analysis of these questions.

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

Literature cited

  1. V. S. Galkin, M. N. Kogan, and N. K. Makashev, “Generalized Chapman-Enskog method, Part 1. Equations of nonequilibrium gas dynamics,” Uch. Zap. TsAGI,5, 66 (1974).

    Google Scholar 

  2. M. N. Kogan and N. K. Makashev, “Construction of the equations of gas dynamics for multiatomic gases with arbitrary ratio of the rates of the elastic and inelastic processes,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 57 (1978).

    Google Scholar 

  3. V. S. Galkin, M. N. Kogan, and N. K. Makashev, “The generalized Chapman-Enskog method,” Dokl. Akad. Nauk SSSR,220, 304 (1975).

    Google Scholar 

  4. V. A. Matsuk and V. A. Rykov, “On the Chapman-Enskog method for a mixture of gases,” Dokl. Akad. Nauk SSSR,233, 49 (1977).

    Google Scholar 

  5. V. A. Matsuk and V. A. Rykov, “Extension of the Chapman-Enskog method for a mixture of reacting gases,” Zh. Vychisl. Mat. Mat. Fiz.,18, 167 (1978).

    Google Scholar 

  6. V. A. Matsuk, “On the Chapman-Enskog method for a chemically reacting gas mixture with allowance for internal degrees of freedom,” Zh. Vychisl. Mat. Mat. Fiz.,18, 1043 (1978).

    Google Scholar 

  7. V. A. Matsuk, “The Chapman-Enskog method for a chemically reacting gas mixture,” Author's Abstract of Candidate's Dissertation [in Russian], Moscow (1978).

  8. E. G. Kolesnichenko and V. M. Gefter, “Use of the Chapman-Enskog method to derive hydrodynamic equations for chemically reacting gases,” Teplofiz. Vys. Temp.,12, 1193 (1974).

    Google Scholar 

  9. E. G. Kolesnichenko, “Derivation of hydrodynamic equations for multiatomic and chemically reacting gases,” Dokl. Akad. Nauk SSSR,240, 40 (1978).

    Google Scholar 

  10. E. G. Kolesnichenko, “Kinetics of chemically reactions and relaxation processes in gas flows,” in: Sixth All-Union Conference on Rarefied Gas Dynamics. Abstracts of Papers [in Russian], Novosibirsk (1979), p. 24.

  11. E. V. Stupochenko, S. A. Losev, and A. I. Osipov, Relaxation Processes in Shock Waves [in Russian], Nauka, Moscow (1965).

    Google Scholar 

  12. E. G. Kolesnichenko, “Use of the quasisteady state method for the integration of kinetic equations,” Teplofiz. Vys. Temp.,11, 46 (1973).

    Google Scholar 

  13. E. G. Kolesnichenko and S. A. Losev, “Kinetics of relaxation processes in moving media,” in: Plasma Chemistry, No. 6 [in Russian], Atomizdat, Moscow (1979), pp. 209–229.

    Google Scholar 

  14. E. G. Kolesnichenko, “A method of deriving hydrodynamic equations for complex systems,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 3, 96 (1981).

    Google Scholar 

  15. N. K. Makashev, “Behavior of the solution of the Boltzmann equation in the region of the high-velocity tail of the distribution function,” in: Rarefied Gas Dynamics. Proc. Sixth All-Union Conference, Novosibirsk, 1979, Part 1 [in Russian], Novosibirsk (1980), pp. 80–85.

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 119–125, May–June, 1984.

I thank S. A. Losev for helpful discussions.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kolesnichenko, E.G. On different methods for deriving hydrodynamic equations for chemically reacting gases. Fluid Dyn 19, 443–448 (1984). https://doi.org/10.1007/BF01093910

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01093910

Keywords

Navigation