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Introduction to Reactive Gas Dynamics$
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Raymond Brun

Print publication date: 2009

Print ISBN-13: 9780199552689

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199552689.001.0001

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Equilibrium and Non-Equilibrium Collisional Regimes

Equilibrium and Non-Equilibrium Collisional Regimes

Chapter:
(p.36) Two Equilibrium and Non-Equilibrium Collisional Regimes
Source:
Introduction to Reactive Gas Dynamics
Author(s):

Raymond Brun

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199552689.003.0003

This chapter defines collisional regimes of gaseous flows, including equilibrium and non-equilibrium situations which are described with Euler equations. It examines monatomic and diatomic gas flows, with particular attention to vibrationally non-equilibrium flows of pure gases and gas mixtures. Boltzmann and Treanor distributions are also discussed. The evolution equations of vibrational populations or mean vibrational energy are presented, in particular for the case of the harmonic oscillator model and Landau-Teller equation. General cases of reactive flows are examined and reaction rate constants are defined for reacting gases including or not internal energy. In the appendices, physical models for internal energy modes, properties of the Maxwell distribution, and particular vibrational relaxation equations are presented for pure gases and gas mixtures.

Keywords:   vibrational relaxation, Maxwell, Boltzmann, Treanor distribution, Euler equations, Landau-Teller, molecular models

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