The kinetic chemical equilibrium regime
نویسندگان
چکیده
We investigate reactive gas mixtures in the kinetic chemical equilibrium regime. Our starting point is a generalized Boltzmann equation with a chemical source term valid for arbitrary reaction mechanisms and yielding a positive entropy production. We rst study the Enskog expansion in the kinetic chemical equilibrium regime. We derive a new set of macroscopic equations in the zerothand rst-order regimes, expressing conservation of element densities, momentum and energy. The transport uxes arising in the Navier–Stokes equilibrium regime are the element di usion velocities, the heat ux vector and the pressure tensor and are written in terms of transport coe cients. Upon introducing species di usion velocities, the kinetic equilibrium regime appears to be formally equivalent to the one obtained for gas mixtures in chemical nonequilibrium and then letting the chemical reactions approach equilibrium. The actual values of the transport coe cients are, however, di erent. Finally, we derive the entropy conservation equation in the Navier–Stokes equilibrium regime and show that the source term is positive and that it is compatible with Onsager’s reciprocal relations. c © 1998 Elsevier Science B.V. All rights reserved. PACS: 82A40, 82A70
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