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Diatomic gas—thermal radiation interaction A model equation for the internal fluid

Published online by Cambridge University Press:  13 March 2009

Warren F. Phillips  and
Vedat S. Arpaci
Warren F. Phillips
Affiliation:
School of Engineering, Oakland University
Vedat S. Arpaci
Affiliation:
Department of Mechanical Engineering, University of Michigan
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Abstract

A model kinetic equation for the internal fluid of diatomic molecules which interacts with thermal radiation is proposed. The cross-collision term developed for the molecule-photon interaction has the property that molecules and the sum of internal and photon energies are conserved. An alternative approach to this term based on the product of two BGKW collision operators yields the same result. It is also shown that the proposed model leads to an H-theorem.

Type
Research Article
Information
Journal of Plasma Physics , Volume 7 , Issue 2 , April 1972 , pp. 235 - 246
Copyright
Copyright © Cambridge University Press 1972

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References

REFERENCES

Bhatngar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Cercignani, C. 1969 Mathematical Methods in Kinetic Theory. Plenum.CrossRefGoogle Scholar
Chang, C. S. W. & Uhlenbeck, G. E. 1951 Transport phenomena in polyatomic gases. Univ. Mich., Engr. Res. Inst. Rep. CM-681, project M 604–6.Google Scholar
Curtis, A. R. & Goody, R. M. 1965 Proc. Roy. Soc. A 236, 193.Google Scholar
Gilles, S. E. & Vincenti, W. G. 1970 J. Quant. Spectrosc. Radiat. Transfer, 10, 71.CrossRefGoogle Scholar
Goody, R. M. 1964 Atmospheric Radiation. Oxford University Press.Google Scholar
Holway, L. H. 1966 Phys. Fluids, 9, 1658.CrossRefGoogle Scholar
Ore, A. 1955 Phys. Rev. 98, 887.CrossRefGoogle Scholar
Oxenius, J. 1966 J. Quant. Spectrosc. Radiat. Transfer, 6, 65.CrossRefGoogle Scholar
Phillips, W. F., Arpaci, V. S. & Larsen, P. S. 1970 J. Plasma Phys. 4, 429.CrossRefGoogle Scholar
Planck, N. 1949 The Theory of Heat. Macmillan.Google Scholar
Rosen, P. 1954 Phys. Rev. 96, 555.CrossRefGoogle Scholar
Sampson, D. H. 1965 Radiative Contributions to Energy and Momentum Transport in a Gas. Interscience.Google Scholar
Simon, R. 1963 J. Quant. Spectrosc. Radiat. Transfer, 3, 1.CrossRefGoogle Scholar
Thomas, L. H. 1930 Quart. J. Math. 1, 239.CrossRefGoogle Scholar
Tolman, R. C. 1938 The Principles of Statistical Mechanics. Oxford University Press.Google Scholar
Welander, P. 1954 Ark. Fys. 7, 44.Google Scholar