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Complex nonequilibrium flows with slow and fast chemical reactions for simulation processes in open systems

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Abstract

Simulations of flows on the basis of kinetic equations for mixtures with chemical reactions are performed. The nonuniform relaxation problems are solved for different variants. The numerical methods of unified flow solver are used for simulation of 1D and 2D flows with nonequilibrium boundary conditions. The kinetic approach provides results, which are beyond the traditional theory of macroscopic phenomena based on the Navier-Stokes equations. Nonequilibrium flows with anomalous transport properties in relaxation zones are described. A special attention is paid to study of behavior of the nonequilibrium entropy for 1D and 2D cases both for slow and fast chemical reactions and to investigation of it as a measure of complexity of open systems.

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References

  1. V. V. Aristov, A. A. Frolova and S. A. Zabelok, A new effect of the nongradient transport in relaxation zones, A Letters Journal Exploring the Frontiers of Physics, 88 (2009) 30012.

    Google Scholar 

  2. V. V. Aristov, A. A. Frolova and S. A. Zabelok, Supersonic flows with nontraditional transport described by kinetic methods, Commun. in Comput. Phys., 11 (2012) 1334–1346.

    Google Scholar 

  3. M. Groppi and G. Spiga, A Bhatnagar–Gross–Krook-type approach for chemically reacting gas mixtures, Phys. Fluids, 16 (2004) 4273–4284.

    Article  MathSciNet  Google Scholar 

  4. A. Aimi, M. Diligenti, M. Groppi and C. Guardasoni, On the numerical solution of a BGK-type model for chemical reactions, Eur. J. Mech. B/Fluids, 26 (2007) 455–472.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. Groppi, K. Aoki, G. Spiga and V. Tritsch, Shock structure analysis in chemically reacting gas mixtures by a relaxation-time kinetic model, Phys. Fluids, 20 (2008) 117103.

    Article  Google Scholar 

  6. M. Groppi, P. Lichtenberger, F. Schürrer and G. Spiga, Conservative approximation schemes of kinetic equations for chemical reactions, Eur. J. Mech. B/Fluids, 27 (2008) 202–217.

    Article  MATH  MathSciNet  Google Scholar 

  7. M. Bisi, M. Groppi and G. Spiga, Kinetic Bhatnagar-Gross-Krook model for fast reactive mixtures and its hydrodynamic limit, Phys. Review E., 81 (2010) 036323.

    Article  Google Scholar 

  8. M. Groppi, S. Rjasanov and G. Spiga, A kinetic relaxation approach to fast reactive mixtures: shock wave structure, J. Stat. Mech. (2009) P10010.

    Google Scholar 

  9. M. Bisi, M. J. Caceres and G. Spiga, A Bhatnagar-Gross-Krook kinetic approach to fast reactive mixtures: Relaxation problems, Physica A, 389 (2010) 4528–4544.

    Article  Google Scholar 

  10. C. Cercignani, The Boltzmann equation and its applications, Shpringer, Berlin (1988).

    Book  MATH  Google Scholar 

  11. Y. Sone, Kinetic theory and fluid dynamics, Birkhauser, Boston (2002).

    Book  MATH  Google Scholar 

  12. G. Nicolis and I. Prigogine, Thermodynamics of nonequilibrium processes, New Holland (1977).

    Google Scholar 

  13. V. V. Aristov, A steady state, supersonic flow solution of the Boltzmann equation, Phys. Letters A, 250 (1998) 354–359 (1998).

    Article  Google Scholar 

  14. V. V. Aristov, Methods of direct solving the Boltzmann equation and study of nonequilibrium flows, Kluwer Academic Press, Dordrecht (2001).

    Book  MATH  Google Scholar 

  15. G. Karniadakis, A. Beskok and N. Aluru, Microflows and Nanoflows. Fundamentals and Simulation, Springer, New York (2005).

    MATH  Google Scholar 

  16. F. G. Tcheremisine, Method for solving the Boltzmann equation for polyatomic gases, Comp. Math. Math. Phys., 52 (2012) 252–268.

    Article  Google Scholar 

  17. P. Andries, K. Aoki and B. Perthame, A consistent BGKtype model for gas mixtures J. Stat. Phys., 106 (2002) 993–1017.

    Article  MATH  MathSciNet  Google Scholar 

  18. V. I. Kolobov, R. R. Arslanbekov, V. V. Aristov, A. A. Frolova and S. A. Zabelok, Unified solver for rarefied and continuum flows with adaptive mesh and algorithm refinement, Journal of Comput. Phys., 223 (2007) 589–608.

    Article  MATH  Google Scholar 

  19. V. V. Aristov, Spatial relaxation processes and the possible decreasing of entropy, Rarefied Gas Dynamics, Oxford: Oxford University Press, 1 (1995) 43–49.

    Google Scholar 

  20. L. A. Blumenfeld. Problems of biological physics, Berlin: Springer (1981).

    Book  Google Scholar 

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Correspondence to Vladimir Aristov.

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This paper was presented at the 10th ACFD, Jeju, Korea, October 2014. Recommended by Guest Editor Hyoung-Gwon Choi

Vladimir Aristov graduated and received a Ph.D. degree from Moscow Institute of Physics and Technology (MFTI). He has been working in Dorodnicyn Computing Centre of Russian Academy of Sciences since 1970-ths. He received there the Dr. Sci. degree in 1996, and currently holds the position of the head of Subdivision of Kinetic Theory of Gases. His research is mainly related to the mathematical and physical aspects of describing nonequilibrium flows (Including unstable and turbulent) based on the Boltzmann and other kinetic equations. He is the author of numerous publications including a monograph [14].

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Aristov, V., Frolova, A. & Zabelok, S. Complex nonequilibrium flows with slow and fast chemical reactions for simulation processes in open systems. J Mech Sci Technol 29, 1859–1867 (2015). https://doi.org/10.1007/s12206-015-0406-5

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  • DOI: https://doi.org/10.1007/s12206-015-0406-5

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