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Parametric analysis of the mathematical model of a nonisothermal well-stirred reactor

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Combustion, Explosion and Shock Waves Aims and scope

Abstract

A parametric analysis of the Zel’dovich-Semenov model describing the dynamics of an exothermic reaction in a well-stirred reactor is performed on the basis of bifurcation theory. Bifurcation diagrams that have not been revealed in previous studies are obtained.

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References

  1. Ya. B. Zel’dovich et al.,Mathematical Theory of combustion and Explosion [in Russian], Nauka, Moscow (1980).

    Google Scholar 

  2. D. A. Frank-Kamenetskii,Diffusion and Heat Transfer in Chemical Kinetics [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  3. V. G. Abramov and A. G. Merzhanov, “Nonstationary processes in continuous stirred tank reactors,”Teor. Osn. Khim. Tekhnol.,9 (1975).

  4. A. Uppal, W. H. Ray, and A. B. Poore, “On the dynamic behavior of continuous stirred tank reactors,”Chem. Eng. Sci.,29, No. 4, 967–985 (1974).

    Article  Google Scholar 

  5. A. Uppal, W. H. Ray, and A. B. Poore, “The classification of the dynamic behavior of continuous stirred tank reactors—influence of reactor resident time,”Chem. Eng. Sci.,31, No. 3, 205–214 (1976).

    Article  Google Scholar 

  6. D. A. Vaganov, V. G. Abramov, and N. G. Samoilenko, “Determination of the regions of existence of vibratory processes in well-stirred reactors,”Dokl. Akad. Nauk SSSR,234, No. 3, 640–643 (1977).

    Google Scholar 

  7. D. A. Vaganov, N. G. Samoilenko, and V. G. Abramov, “Periodic regimes of continuous stirred tank reactors,”Chem. Eng. Sci.,33, No. 5, 1133–1140 (1978).

    Google Scholar 

  8. L. M. Pismen, “Dynamics of lumped chemically reacting systems near singular bifurcation points,”Chem. Eng. Sci.,39, No. 6, 1063–1077 (1984).

    Article  Google Scholar 

  9. L. M. Pismen, “Dynamics of lumped chemically reacting systems near singular bifurcation points—II. Almost hamiltonian dynamics,”Chem. Eng. Sci.,40, No. 6, 905–916 (1985).

    Article  Google Scholar 

  10. Wolfram Research, Inc. Mathematika, Version 2.2, Champaign, Wolfram Research, Illinois (1994).

  11. V. I. Bykov and T. P. Pushkareva, “Parametric portraits of local bifurcations in the model of a well-stirred reactor,” in:Evolution Simulation and Kinetics [in Russian], Nauka, Novosibirsks (1992), pp. 93–104.

    Google Scholar 

  12. A. D. Basykin, Yu. A. Kuznetsov, and A. I. Hibnik,Portraits of Bifurcations [in Russian], Znanie, Moscow (1989).

    Google Scholar 

  13. E. P. Volokitin and S. A. Treskov, “On the behavior of the Lyapunov quantities of the complex focus for systems close to the systems with nilpotent linear side,”Diff. Uravn.,31, No. 10, 1704–1707 (1996).

    Google Scholar 

  14. V. S. Shepelev and M. G. Slin’ko, “Periodic regimes in a perfect-mixing continuous stirred tank reactor”, in: Abstracts of XIII Int. Conf. on Chemical Reactors KHIMREAKTOR-13, Part II, Novosibirsk (1996), pp. 53–59.

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Authors and Affiliations

  1. Computational Center, Siberian Division, Russian Academy of Sciences, 660036, Krasnoyarsk

    V. I. Bykov

  2. Institute of Mathematics, Siberian Division, Russian Academy of Sciences, 630090, Novosibirsks

    E. P. Volokitin & S. A. Treskov

Authors
  1. V. I. Bykov
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  2. E. P. Volokitin
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  3. S. A. Treskov
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Translated from Fizika Goreniya i Vzryva, Vol. 33, No. 3, pp. 61–69, May–June, 1997.

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Bykov, V.I., Volokitin, E.P. & Treskov, S.A. Parametric analysis of the mathematical model of a nonisothermal well-stirred reactor. Combust Explos Shock Waves 33, 294–300 (1997). https://doi.org/10.1007/BF02671868

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  • DOI: https://doi.org/10.1007/BF02671868

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