Chapter

Transport and Relaxation in Quasi-Equilibrium Regimes: Gas Mixtures

Raymond Brun

in Introduction to Reactive Gas Dynamics

Published in print February 2009 | ISBN: 9780199552689
Published online May 2009 | e-ISBN: 9780191720277 | DOI: http://dx.doi.org/10.1093/acprof:oso/9780199552689.003.0005
 Transport and Relaxation in Quasi-Equilibrium Regimes: Gas Mixtures

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This chapter extends the Chapman-Enskog method to binary gas mixtures in equilibrium at the zero order of the distribution function. It examines monatomic gas mixtures then diatomic gases possessing one or two internal energy modes (rotation, vibration). Navier-Stokes equations are established with the corresponding transport terms related to viscosity, conductivity, and diffusion. Simplified expressions for these terms depending on various relaxation times are given, as well as general expressions for collisional integrals. Finally, alternative procedures to the Chapman-Enskog method are briefly presented such as the Gross-Jackson procedure and the method of moments.

Keywords: gas mixtures; Chapman-Enskog; Gross-Jackson; method of moments; collisional integrals; transport terms; viscosity; conductivity; diffusion; relaxation times

Chapter.  14747 words. 

Subjects: Mathematical and Statistical Physics

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