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Kinetic theory of reacting systems

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  • Eu, Byung Chan
  • Li, Kin-Wah

Abstract

In this paper transport processes of reacting systems are investigated, based on the Boltzmann equations. The Boltzmann equations are solved by means of Grad's moment method to thirteen moments and some formal results are obtained for transport properties. It is shown that the rate coefficients are quadratic functions of hydrodynamic fluxes and are in the form where are the scalar moments associated with the reaction and q, J, Π are heat flux, material flux and traceless symmetric stress tensor. k(0)i is the usual local equilibrium formula for reaction rate constant. Iterative solutions for the equations of change for , q, J and Π are obtained from which transport coefficients are calculated for the reacting system. It is shown that the solutions, when specialized to nonreacting mixtures, lead to results for the transport coefficients which are exactly in agreement with the Chapman-Enskog theory results. The modifications of the transport coefficients due to reactions are obtained from the iterative solutions and the bracket integrals necessary for their calculations are explicitly given in an appendix.

Suggested Citation

  • Eu, Byung Chan & Li, Kin-Wah, 1977. "Kinetic theory of reacting systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 135-157.
    • Handle: RePEc:eee:phsmap:v:88:y:1977:i:1:p:135-157
    DOI: 10.1016/0378-4371(77)90161-3
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    Cited by:

    1. Zhdanov, V.M. & Stepanenko, A.A., 2016. "Kinetic theory of transport processes in partially ionized reactive plasma, I: General transport equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 446(C), pages 35-53.

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