Skip to main content
SpringerLink
Log in

Nonequilibrium Thermodynamics of Autowaves of Laminar Combustion in a Reversibly Reacting Medium

  • Published:
Combustion, Explosion and Shock Waves Aims and scope

Abstract

Thermodynamics of physicochemical processes in a reversibly reacting distributed kinetic system is considered, and nonequilibrium entropy of autowaves of laminar combustion is constructed. A qualitative and numerical analysis of the local and total entropy production in the system is performed. The total entropy production is shown to be a functional on integral curves, possessing extreme properties, whose minimum corresponds to the only physically meaningful solution of the problem. The results of solving problems with kinetic equations that take into account the reversible or irreversible character of the chemical reaction are compared.

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. Vasil'ev, Yu. M. Romanovskii, and V. G. Yakhno, “Autowave processes in distributed kinetic systems,” Usp. Fiz. Nauk, 128, No. 4, 625–666 (1979).

    Google Scholar 

  2. A. N. Kolmogorov, I. G. Petrovskii, and N. S. Piskunov, “Investigation of the diffusion equation combined with an increase in the amount of the substance, and the use of this equation in one biological problem,” Byul. Mosk. Gos. Univ., Ser. A, 1, No. 6, 1–26 (1937).

    Google Scholar 

  3. R. A. Fisher, “The wave of advance of advantageous genes,” Ann. Eugenics, 7, 335–369 (1937).

    Google Scholar 

  4. Ya. B. Zel'dovich and D. A. Frank-Kamenetskii, “Theory of uniform propagation of flame,” Dokl. Akad. Nauk SSSR, 19, No. 9, 693–697 (1938).

    Google Scholar 

  5. Ya. B. Zel'dovich and D. A. Frank-Kamenetskii, “Theory of thermal propagation of flame,” Zh. Fiz. Khim., 12, No. 1, 100–105 (1938).

    Google Scholar 

  6. A. A. Andronov, E. A. Leontovich, I. I. Gordon, and A. G. Maier, Qualitative Theory of Second-Order Dynamic Systems [in Russian], Nauka, Moscow (1966).

  7. P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations, Wiley Intersciences, New York (1971).

    Google Scholar 

  8. A. P. Gerasev, “Nonequilibrium thermodynamics of propagation of heat waves in a catalytic bed,” Dokl. Ross. Akad. Nauk, 359, No. 4, 495–498 (1998).

    Google Scholar 

  9. A. P. Gerasev, “Nonequilibrium thermodynamics of heat waves in a catalytic bed. Functional of an autowave solution,” Combust. Expl. Shock Waves, 36, No. 3, 329–336 (2000).

    Google Scholar 

  10. A. P. Gerasev, “Thermodynamic theory of autowave processes in a motionless catalyst layer,” Zh. Fiz. Khim., 76, No. 2, 221–226 (2002).

    Google Scholar 

  11. A. P. Gerasev, “Nonequilibrium thermodynamics of autowaves of laminar combustion,” Combust. Expl. Shock Waves, 37, No. 6, 626–633 (2001).

    Google Scholar 

  12. I. Prigogine and R. Defei, Chemical Thermodynamics, Longmans Green, London-New York-Toronto (1954).

    Google Scholar 

  13. Ya. B. Zel'dovich, G. I. Barenblatt, V. B. Librovich, and G. M. Makhviladze, The Mathematical Theory of Combustion and Explosions, Plenum, New York (1985).

    Google Scholar 

  14. A. P. Aldushin, V. D. Lugovoi, A. G. Merzhanov, and B. I. Khaikin, “Degeneration conditions for a steady combustion wave,” Dokl. Akad. Nauk SSSR, 243, No. 6, 1434–1437 (1978).

    Google Scholar 

  15. A. G. Merzhanov and B. I. Khaikin, Theory of Combustion Waves in Homogeneous Media [in Russian], Inst. of Struct. Macrokinetics, Russian Acad. of Sci., Chernogolovka (1992).

    Google Scholar 

  16. G. I. Barenblatt, Similarity, Self-Similarity, and Intermediate Asymptotics [in Russian], Gidrometeoizdat, Leningrad (1978).

    Google Scholar 

  17. S. R. de Groot and P. Mazur, Non-Equilibrium Thermodynamics, North-Holland, Amsterdam (1962).

    Google Scholar 

  18. I. Gyarmati, Non-Equilibrium Thermodynamics. Field Theory and Variational Principles, Springer-Verlag, Berlin-Heidelberg-New York (1970).

    Google Scholar 

  19. N. N. Bautin and E. A. Leontovich, Methods and Procedures of Qualitative Investigation of Dynamic Systems on a Plane [in Russian], Nauka, Moscow (1976).

    Google Scholar 

  20. A. P. Gerasev and N. A. Chumakova, “Theory of propagation of slow heat waves in a catalytic bed in a reversible reaction,” Combust. Expl. Shock Waves, 33, No. 5, 556–564 (1997).

    Google Scholar 

  21. I. P. Vyrodov, “Extreme properties of nonequilibrium thermodynamic systems and their dissipative functionals,” Zh. Fiz. Khim., 62, No. 4, 865–882 (1988).

    Google Scholar 

  22. I. P. Vyrodov, “Generalization of the Onsager theorem and construction of nonequilibrium entropy in nonlinear phenomenological thermodynamics of irreversible processes,” Zh. Fiz. Khim., 72, No. 2, 225–228 (1998).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Siberian Division, Russian Academy of Sciences, Boreskov Institute of Catalysis, Novosibirsk, 630090

    A. P. Gerasev

Authors
  1. A. P. Gerasev
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Gerasev, A.P. Nonequilibrium Thermodynamics of Autowaves of Laminar Combustion in a Reversibly Reacting Medium. Combustion, Explosion, and Shock Waves 39, 423–430 (2003). https://doi.org/10.1023/A:1024782704682

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1024782704682

Search

Navigation