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H theorem and kinetic equations for a reacting gas

Published online by Cambridge University Press:  13 March 2009

Ta-Ming Fang
Affiliation:
Harvard University

Abstract

A previously developed set of kinetic model equations for a chemically-reacting gas is modified. By examining closely the H theorem, a new set of constraints is obtained. These conditions are then used to determine the inelastic collision parameters proposed in the model. The kinetic equations so obtained are able to produce exactly the same rate equations as prescribed by the actual chemical reactions.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1973

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References

REFERENCES

Anderson D. G. M., Baum H. R. & Krook M. 1969 Rarefied Gas Dynamics (ed. L. Trilling and H. Y. Wachman), vol. 1, p. 49. Academic.Google Scholar
Baum, H. R. & Fang, T.-M. 1972 Phys. Fluids, 15, 1771.CrossRefGoogle Scholar
Chapman, S. & Cowling, T. G. 1970 Mathematical Theory of Non-Uniform Gases (3rd edn.). Cambridge University Press.Google Scholar
Gross, E. P. & Krook, M. 1956 Phys. Rev. 102, 593.CrossRefGoogle Scholar
Zel'Dovich, Y. B. & Raizer, Y. B. 1966 Physics of Shock Waves and High-Temperature Hydrodynamic Phenomena, vol. 1. Academic.Google Scholar