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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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Statistical Description and Evolution of Reactive Gas Systems

Statistical Description and Evolution of Reactive Gas Systems

Chapter:
(p.5) One Statistical Description and Evolution of Reactive Gas Systems
Source:
Introduction to Reactive Gas Dynamics
Author(s):

Raymond Brun

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199552689.003.0002

This chapter begins by presenting a statistical definition of state and transport parameters of non-equilibrium flows, starting from the concept of distribution function. It then describes the evolution of the system with the Boltzmann equation and with the macroscopic conservation equations. The various types of intermolecular collisions, elastic, inelastic, reactive are taken into account in the collisional balance of the Boltzmann equation and expressions of the corresponding collision frequencies are given. In the appendices, some results on molecular interaction potentials and details on collisional processes are presented, as well as a few elements of tensorial algebra.

Keywords:   distribution function, statistical description, elastic, inelastic, reactive collisions, collisional balance, molecular interaction, Boltzmann equation, conservation equations

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