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Kinetic theory of transport processes in partially ionized reactive plasma, I: General transport equations

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  • Zhdanov, V.M.
  • Stepanenko, A.A.

Abstract

In this paper we derive the set of general transport equations for multicomponent partially ionized reactive plasma in the presence of electric and magnetic fields taking into account the internal degrees of freedom and electronic excitation of plasma particles. Our starting point is a generalized Boltzmann equation with the collision integral in the Wang-Chang and Uhlenbeck form and a reactive collision integral. We obtain a set of conservation equations for such plasma and employ a linearized variant of Grad’s moment method to derive the system of moment (or transport) equations for the plasma species nonequilibrium parameters. Full and reduced transport equations, resulting from the linearized system of moment equations, are presented, which can be used to obtain transport relations and expressions for transport coefficients of electrons and heavy plasma particles (molecules, atoms and ions) in partially ionized reactive plasma.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:446:y:2016:i:c:p:35-53
    DOI: 10.1016/j.physa.2015.11.012
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    References listed on IDEAS

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    1. Giovangigli, Vincent & Graille, Benjamin, 2003. "Kinetic theory of partially ionized reactive gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 327(3), pages 313-348.
    2. Ern, Alexandre & Giovangigli, Vincent, 1996. "Kinetic theory of dilute gas mixtures with independent internal energy modes near equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 613-625.
    3. 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.
    4. Ern, Alexandre & Giovangigli, Vincent, 1998. "The kinetic chemical equilibrium regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 260(1), pages 49-72.
    5. Chikhaoui, A. & Dudon, J.P. & Kustova, E.V. & Nagnibeda, E.A., 1997. "Transport properties in reacting mixture of polyatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 247(1), pages 526-552.
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    1. Zhdanov, V.M. & Stepanenko, A.A., 2016. "Kinetic theory of transport processes in partially ionized reactive plasma, II: Electron transport properties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 461(C), pages 310-324.

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