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A conservative multi-group approach to the Boltzmann equations for reactive gas mixtures

Author

Listed:
  • Bisi, M.
  • Rossani, A.
  • Spiga, G.

Abstract

Starting from a simple kinetic model for a quaternary mixture of gases undergoing a bimolecular chemical reaction, multi-group integro-differential equations are derived for the particle distribution functions of all species. The procedure takes advantage of a suitable probabilistic formulation, based on the underlying collision frequencies and transition probabilities, of the relevant reactive kinetic equations of Boltzmann type. Owing to an appropriate choice of a sufficiently large number of weight functions, it is shown that the proposed multi-group equations are able to fulfil exactly, at any order of approximation, the correct conservation laws that must be inherited from the original kinetic equations, where speed was a continuous variable. Future developments are also discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:438:y:2015:i:c:p:603-611
    DOI: 10.1016/j.physa.2015.06.021
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    References listed on IDEAS

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    1. 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.
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