Chapter

Transport and Relaxation in Quasi-Equilibrium Regimes: Pure Gases

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/9780199552689.003.0004
 Transport and Relaxation in Quasi-Equilibrium Regimes: Pure Gases

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This chapter expands the distribution function of a pure gas in a series of a small parameter representing the ratio of the collisional time to a reference flow time; this is the so-called Chapman-Enskog method. Zero order and first order solutions are discussed, corresponding to isolated and non-isolated media respectively. The zero order solutions are related to the Euler equations and the first order to the Navier-Stokes equations. Transport terms such as viscosity and conductivity coefficients, included in these equations are determined for pure gases in equilibrium at zero order (WNE solution) and approximate expressions are also proposed. More details are given in the appendices on collisional integrals, orthogonal bases used in the expansions, equation systems, collisional models, and relaxation equations.

Keywords: Chapman-Enskog; Navier-Stokes equations; transport terms; viscosity; conductivity; collisional integrals; orthogonal bases

Chapter.  13870 words. 

Subjects: Mathematical and Statistical Physics

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