© 2009

Non-Equilibrium Reacting Gas Flows

Kinetic Theory of Transport and Relaxation Processes


  • Proposes a new and unique kinetic theory

  • Useful for many applications of gas dynamics, chemical gas reactions, and shock waves


Part of the Heat and Mass Transfer book series (HMT)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Ekaterina Nagnibeda, Elena Kustova
    Pages 1-5
  3. Ekaterina Nagnibeda, Elena Kustova
    Pages 7-33
  4. Ekaterina Nagnibeda, Elena Kustova
    Pages 35-53
  5. Ekaterina Nagnibeda, Elena Kustova
    Pages 55-95
  6. Ekaterina Nagnibeda, Elena Kustova
    Pages 97-109
  7. Ekaterina Nagnibeda, Elena Kustova
    Pages 111-169
  8. Ekaterina Nagnibeda, Elena Kustova
    Pages 171-190
  9. Ekaterina Nagnibeda, Elena Kustova
    Pages 203-220
  10. Ekaterina Nagnibeda, Elena Kustova
    Pages 221-233
  11. Back Matter

About this book


In the present monograph, we develop the kinetic theory of transport phenomena and relaxation processes in the flows of reacting gas mixtures and discuss its applications to strongly non-equilibrium conditions. The main attention is focused on the influence of non-equilibrium kinetics on gas dynamics and transport properties. Closed systems of fluid dynamic equations are derived from the kinetic equations in different approaches. We consider the most accurate approach taking into account the state-to-state kinetics in a flow, as well as simplified multi-temperature and one-temperature models based on quasi-stationary distributions. Within these approaches, we propose the algorithms for the calculation of the transport coefficients and rate coefficients of chemical reactions and energy exchanges in non-equilibrium flows; the developed techniques are based on the fundamental kinetic theory principles. The theory is applied to the modeling of non-equilibrium flows behind strong shock waves, in the boundary layer, and in nozzles. The comparison of the results obtained within the frame of different approaches is presented, the advantages of the new state-to-state kinetic model are discussed, and the limits of validity for simplified models are established.

The book can be interesting for scientists and graduate students working on physical gas dynamics, aerothermodynamics, heat and mass transfer, non-equilibrium physical-chemical kinetics, and kinetic theory of gases.


Diffusion chemical reactions distribution gas mixture heat transfer multi temperature distribution shock waves state-to-state kinetic model thermodynamics

Authors and affiliations

  1. 1.Dept. of Mathematics and MechanicsSt. Petersburg State UniversitySt. PetersburgRussia

Bibliographic information

  • Book Title Non-Equilibrium Reacting Gas Flows
  • Book Subtitle Kinetic Theory of Transport and Relaxation Processes
  • Authors Ekaterina Nagnibeda
    Elena Kustova
  • Series Title Heat and Mass Transfer
  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 2009
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-3-642-01389-8
  • Softcover ISBN 978-3-642-10178-6
  • eBook ISBN 978-3-642-01390-4
  • Series ISSN 1860-4846
  • Series E-ISSN 1860-4854
  • Edition Number 1
  • Number of Pages XIV, 252
  • Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
  • Additional Information Original Russian edition published by St. Petersburg University Press, 2003
  • Topics Engineering Fluid Dynamics
    Fluid- and Aerodynamics
    Engineering Thermodynamics, Heat and Mass Transfer
  • Buy this book on publisher's site