Reactive collision terms for fluid transport theory

Physics – Fluid Dynamics

Scientific paper

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Collisional Plasmas, Fluid Dynamics, Plasma Dynamics, Reacting Flow, Transport Theory, Cometary Atmospheres, Cosmochemistry, Rocket Exhaust, Solar Wind, Space Plasmas

Scientific paper

A modified Bhatnagar-Gross-Krook (BGK) collision method is used for the derivation of reactive collision terms to allow for complete higher-moment approximations in fluid transport theory. The general reactive collision terms for the 8-, 10- and 13-moment approximation for binary reactions are derived. Then, reactive collision terms for specific chemistry are derived with the assumptions: (1) all reactants and products have 13-moment distribution functions; (2) simple, classical assumptions provide sufficient models for reaction dynamics; and (3) the reaction rate is energy-independent. The derived specific formulas reflect two extremes in reactive collision dynamics: direct and indirect reaction mechanisms. Finally, considerations for correct use of the reactive collision terms are discussed in the context of space plasma environments.

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