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Enskog’s kinetic theory of dense gases for chemically reacting binary mixtures, II: Light scattering and sound propagation

Author

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  • Silva, Adriano W.
  • Alves, Giselle M.
  • Marques, Wilson
  • Kremer, Gilberto M.

Abstract

Enskog’s kinetic theory for a symmetric moderately dense reaction A+A⇌B+B is used to determine Fick’s and Fourier’s law. The transport coefficients of diffusion, thermal-diffusion rate and thermal conductivity are represented graphically for endothermic and exothermic reactions and are analyzed as a function of the activation energy and of the density of the mixture. The Onsager reciprocity relations are numerically investigated and verified. The problems related to sound propagation and light scattering are investigated for such a mixture and it is shown that the influence of chemical reactions on phase velocity, attenuation coefficient and light scattering spectra is more pronounced for rarefied gases although there is a considerable change in these quantities as the mixture becomes denser.

Suggested Citation

  • Silva, Adriano W. & Alves, Giselle M. & Marques, Wilson & Kremer, Gilberto M., 2009. "Enskog’s kinetic theory of dense gases for chemically reacting binary mixtures, II: Light scattering and sound propagation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(4), pages 295-310.
    • Handle: RePEc:eee:phsmap:v:388:y:2009:i:4:p:295-310
    DOI: 10.1016/j.physa.2008.10.031
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    References listed on IDEAS

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    1. Dobrowolski, Dilcléia & Marques Jr, Wilson & Kremer, Gilberto M., 2002. "Light scattering in monatomic dense gases from a kinetic model of the Enskog equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 310(3), pages 333-346.
    2. Marques, Wilson & Alves, Giselle M. & Kremer, Gilberto M., 2003. "Light scattering and sound propagation in a chemically reacting binary gas mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 323(C), pages 401-412.
    3. Silva, Adriano W. & Alves, Giselle M. & Kremer, Gilberto M., 2008. "Enskog’s kinetic theory of dense gases for chemically reacting binary mixtures. I. Reaction rate and viscosity coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(8), pages 1733-1749.
    4. Alves, S.R. & Kremer, G.M., 1990. "Light scattering from density fluctuations in dense monatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 164(3), pages 759-771.
    5. Silva, Adriano W. & Alves, Giselle M. & Kremer, Gilberto M., 2007. "Transport phenomena in a reactive quaternary gas mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 533-548.
    6. Shizgal, Bernie D. & Chikhaoui, Aziz, 2006. "On the use temperature parameterized rate coefficients in the estimation of non-equilibrium reaction rates," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 365(2), pages 317-332.
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    Cited by:

    1. Kremer, Gilberto M. & Silva, Adriano W. & Alves, Giselle M., 2010. "On inelastic reactive collisions in kinetic theory of chemically reacting gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2708-2718.

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