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A note on the kinetic theory of chemically reacting gases

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  • Rossani, A
  • Spiga, G

Abstract

A kinetic approach to a mixture of gases whose particles interact by elastic scattering and by a bimolecular chemical reaction is analyzed by means of the relevant Boltzmann-like equation. Conservation laws and moment equations are considered, and, improving previous results in the literature, equilibria under collision are studied in detail, by providing in particular a strict stability result, which shows relaxation starting from any physically meaningful initial condition.

Suggested Citation

  • Rossani, A & Spiga, G, 1999. "A note on the kinetic theory of chemically reacting gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 272(3), pages 563-573.
    • Handle: RePEc:eee:phsmap:v:272:y:1999:i:3:p:563-573
    DOI: 10.1016/S0378-4371(99)00336-2
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    References listed on IDEAS

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    1. Moreau, M., 1975. "Formal study of a chemical reaction by Grad expansion of the Boltzmann equation. I," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(1), pages 18-38.
    2. Moreau, M., 1975. "Formal study of a chemical reaction by Grad expansion of the Boltzmann equation. II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 79(1), pages 39-51.
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    Cited by:

    1. Conforto, F. & Jannelli, A. & Monaco, R. & Ruggeri, T., 2007. "On the Riemann problem for a system of balance laws modelling a reactive gas mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 67-87.
    2. Bisi, M. & Rossani, A. & Spiga, G., 2015. "A conservative multi-group approach to the Boltzmann equations for reactive gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 438(C), pages 603-611.
    3. Sarna, Neeraj & Oblapenko, Georgii & Torrilhon, Manuel, 2021. "Moment method for the Boltzmann equation of reactive quaternary gaseous mixture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    4. Carvalho, Filipe & Polewczak, Jacek & Silva, Adriano W. & Soares, Ana Jacinta, 2018. "Transport coefficients for the simple reacting spheres kinetic model I: Reaction rate and shear viscosity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 1018-1037.
    5. Bisi, Marzia & Cáceres, María J. & Spiga, Giampiero, 2010. "A Bhatnagar–Gross–Krook kinetic approach to fast reactive mixtures: Relaxation problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(21), pages 4528-4544.

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