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Physico-Chemical Gas Dynamics

  • J. F. Clarke
Part of the International Centre for Mechanical Sciences book series (CISM, volume 293)

Abstract

When two particles, atoms or polyatomic molecules, collide there is always a possibility that one outcome of the event will be a redistribution of the energy contained in the internal structure of either or both collision partners. Such molecular encounters are called inelastic collisions to distinguish them from their less complicated elastic collision companions, in which no such redistributions of internal energy take place. Elastic collisions conserve all of the external manifestations of molecular presence, namely molecular mass, molecular momentum and molecular translational energy and, in addition, they conserve the identities of the two collision partners. Inelastic collisions also preserve mass and momentum but, where energy is concerned, it is the sum of molecular translational and internal energies that is preserved. Insofar as an inelastic collision between a pair of molecules may result in the emergence from the encounter of two molecules that are chemically totally different from the original incident pair, it is clear that inelastic encounters may not preserve identity. Indeed if one molecule is identified by both its chemical type and by its internal quantum state it can be said that identity is always lost in an inelastic collision, since internal quantum state must change when internal energy is exchanged in an encounter.

Keywords

Boltzmann Equation Inelastic Collision Polyatomic Molecule Collision Integral Molecular Collision 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Bird, R.B., Stewart, W.E. and Lightfoot, E.N. (1960) “Transport Phenomena”. Wiley, New York.Google Scholar
  2. 2.
    Chapman, S. and Cowling, T.G. (1970) “The Mathematical Theory of Non-Uniform Gases”, Third edition. Cambridge University Press.Google Scholar
  3. 3.
    Clarke, J.F. and McChesney, M. (1964) “The Dynamics of Real Gases”. Butterworths, London.Google Scholar
  4. 4.
    Clarke, J.F. and McChesney, M. (1976) “Dynamics of Relaxing Gases”. Butterworths, London.Google Scholar
  5. 5.
    Hirschfelder, J.O., Curtiss, C.F. and Bird, R.B. (1954) “The Molecular Theory of Gases and Liquids”. Wiley, New York.MATHGoogle Scholar
  6. 6.
    Jeffreys, H. (1952) “Cartesian Tensors”. Cambridge University Press.Google Scholar
  7. 7.
    Kogan, M.H. (1969) “Rarefied Gas Dynamics”. Plenum Press, New York.CrossRefGoogle Scholar
  8. 8.
    Rich, J.W. and Treanor, C.E. (1970) “Vibrational Relaxation in Gas-Dynamics Flows”. Ann Rev. Fluid Mech., 2, 355–396.Google Scholar
  9. 9.
    Stupochenko, Ye. Y, Losev, S.A. and Osipov, A.I. (1967) “Relaxation in Shock Waves”. Springer-Verlag, Berlin.CrossRefGoogle Scholar
  10. 10.
    Vincenti, W.G. and Kruger, C.H. (1965) “Physical Gas Dynamics”. Wiley, New York.Google Scholar
  11. 11.
    Wang Chang, C.S., Uhlenbeck, G.E. and de Boer, J. (1964) “The Heat Conductivity and Viscosity of Polyatomic Gases”. Studies in Statistical Mechanics, II, 243–268. North-Holland Pub. Co., Amsterdam.Google Scholar
  12. 12.
    Wegener, P.P. (Editor) (1969) “Nonequilibrium Flows”, Part I; (1970) “Nonequilibrium Flows”, Part II. Dekker, New York.Google Scholar
  13. 13.
    Williams, F.A. (1985) “Combustion Theory”. Benjamin Cummings, Menlo Park, USA.Google Scholar

Copyright information

© Springer-Verlag Wien 1988

Authors and Affiliations

  • J. F. Clarke
    • 1
  1. 1.Cranfield Institute of TechnologyCranfieldUK

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