Skip to main content
Log in

Analysis of multicomponent gas mixture flows with partial chemical equilibrium

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

Diffusion equations and the corresponding transfer equations with effective transfer coefficients are derived using new unknown functions (linear combinations of diffusion fluxes and of concentrations) for reactive gas mixture flows with partial chemical equilibrium. The diffusion differential equations for rapid independent reactions degenerate into algebraic equations of detailed chemical equilibrium. The component formation sources on the right-hand sides of the remaining diffusion equations contain no rapid stages. It is shown that the assumption of partial chemical equilibrium is valid for hypersonic flow past blunt bodies with a nose radius of approx. 1 m on portions of their gliding reentry paths in the Earth's and Martian atmospheres.

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. O. N. Suslov, G. A. Tirskii, and V. V. Shchennikov, “A description of chemically equilibrium flows of multicomponent ionized mixtures within the framework of the Navier-Stokes and Prandtl equations,”Prikl. Mekh. Tekh. Fiz., No. 1, 73 (1971).

  2. N. N. Pilyugin and G. A. Tirskii,Dynamics of an Ionized Radiating Gas [in Russian], Izd. MGU, Moscow, (1989).

    Google Scholar 

  3. A. F. Kolesnikov and G. A. Tirskii, “Hydrodynamic equations for partially ionized multicomponent gas mixtures with transfer coefficients in higher approximations,” in:Molecular Gas Dynamics [in Russian], Nauka, Moscow, 20 (1982).

    Google Scholar 

  4. O. N. Suslov, “Asymptotic analyses of the equations of a chemically nonequilibrium boundary layer,” in:Hypersonic Three-Dimensional Flows in the Presence of Physicochemical Transformations [in Russian], Izd. MGU, Moscow, 138 (1981).

    Google Scholar 

  5. V. L. Kovalev and O. N. Suslov, “A difference improved-accuracy-of-approximation method for integrating the equations of a chemically nonequilibrium multicomponent viscous shock layer,” in:Hypersonic Three-Dimensional Flows in the Presence of Physicochemical Transformations [in Russian], Izd. MGU, Moscow, 113 (1981).

    Google Scholar 

  6. O. N. Suslov, “An analysis of the equations of a chemically nonequilibrium multicomponent boundary layer by a difference method with an improved accuracy of approximation,” in:Hypersonic Flows Past Bodies and in Wakes [in Russian], Izd. MGU, Moscow, 20 (1983).

    Google Scholar 

  7. O. N. Suslov, “Asymptotic integration of the equations of a multicomponent chemically nonequilibrium boundary layer,” in:Aerodynamics of Hypersonic Flows in the Presence of Injection [in Russian], Izd. MGU, Moscow, 6 (1979).

    Google Scholar 

  8. A. I. Vol'pert and S. I. Khudyaev,Analysis in Classes of Discontinuous Functions and Equations of Mathematical Physics [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  9. V. G. Gorskii, E. A. Katsman, and T. N. Shvetsova-Shilovskaya, “Mathematical aspects of the quasiequilibrium of reactions in chemical kinetics,”Mathematical Methods in Chemical Kinetics [in Russian], Nauka, Novosibirsk, 136 (1990).

    Google Scholar 

  10. A. B. Vasil'eva and V. F. Butuzov,Asymptotic Expansions of the Solutions of Singularly Perturbed Equations [in Russian], Nauka, Moscow (1973).

    Google Scholar 

  11. S. A. Losev and O. P. Shatalov (eds.),Physicochemical Kinetics in Gas Dynamics [in Russian], Izd. MGU, Moscow, 5 (1986).

    Google Scholar 

  12. O. N. Suslov and E. I. Fateeva, “Method of partial equilibrium for describing flows of viscous heat-conducting multicomponent mixtures,” Institute of Mechanics of Moscow State University, Report No. 4346 (1994).

  13. O. N. Suslov, V. L. Kovalev, and S. L. Sukhodol'skii, “Analysis of a dissociated and slightly ionized viscous shock layer on a catalytic surface,” Institute of Mechanics of Moscow State University, Report No. 2870 (1983).

  14. R. N. Gupta and K. P. Lee, “An aerothermal study of MESUR pathfinder aeroshell,” AIAA Paper No. 94-2025 (1994).

  15. Y. K. Chen, W. D. Henline, D. A. Stewart, and G. V. Candler, “Navier-Stokes solutions with surface catalysis for Martian atmospheric entry,”J. Spacecraft and Rockets,30, No. 1, 32 (1993).

    Google Scholar 

Download references

Authors

Additional information

Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 114–124, January–February, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Suslov, O.N., Fateeva, E.I. Analysis of multicomponent gas mixture flows with partial chemical equilibrium. Fluid Dyn 31, 97–106 (1996). https://doi.org/10.1007/BF02230753

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02230753

Keywords

Navigation