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Diatomic gas-thermal radiation interaction between parallel plates

Published online by Cambridge University Press:  13 March 2009

Warren F. Phillips ,
Vedat S. Arpaci  and
Poul S. Larsen
Warren F. Phillips
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
Vedat S. Arpaci
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
Poul S. Larsen
Affiliation:
Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Michigan
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Abstract

The effect of rarefaction, optical depth and ratio of conduction to radiation on the heat transfer through stagnant diatomic gas between parallel plates is investigated. A three-fluid formulation (translator–rotator–photon) at low temperature and [translator–(rotator and vibrator)–photon] at high temperature, based on continuous distribution functions, molecule–molecule elastic collisions, molecule–photon inelastic collisions, grey gas, and local equilibrium is solved by the linearized moment procedure for fully accommodating surfaces. Results include the error involved in decoupled total heat flux.

Type
Research Article
Information
Journal of Plasma Physics , Volume 4 , Issue 3 , September 1970 , pp. 429 - 439
Copyright
Copyright © Cambridge University Press 1970

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References

REFERENCES

Anderson, D. G. M., Baum, H. & Krook, M. 1969 The current status of statistical models in kinetic theory. Rarefied Gas Dynamics, vol. I, p. 49. Ed. by Trilling, L. and Wachman, H. Y.. New York: Academic Press Inc.Google Scholar
Arpaci, V. S. & Larsen, P. S. 1969 AIAA. J. 7, 602.CrossRefGoogle Scholar
Bratnagar, P. L., Gross, E. P. & Krook, M. 1954 Phys. Rev. 94, 511.CrossRefGoogle Scholar
Chandrasekhar, S. 1950 Radiative Transfer. Oxford University Press.Google Scholar
Chandrasekhar, S. & Elbert, D. 1952 a Astrophys. J. 115, 244.CrossRefGoogle Scholar
Chandrasekhar, S. & Elbert, D. 1952 b Astrophys. J. 115, 269.CrossRefGoogle Scholar
Crang, C. S. W. & Uheenbeck, G. E. 1951 Transport phenomena in polyatomic gases. Univ. Mich., Engr. Res. Inst., Report no. CM-681, Project M 604–6.Google Scholar
Chano, C. S. W. & Uhlenbeck, G. E. 1953 The heat transport between two parallel plates as function of the Knudsen number. Univ. Mich., Engr. lies. Inst., Project M 999.Google Scholar
Gilles, S. E. 1968 Flow with coupled radiative and vibrational non-equilibrium in a diatomic gas. Ph.D. dissertation, Stanford University.Google Scholar
Goulard, R. & Goulard, M. 1960 Int. J. Heat Mass Trans. 1, 88.CrossRefGoogle Scholar
Greif, R. & Willis, D. R. 1967 Int. J. Heat Mass Trans. 10, 1041.Google Scholar
Heaslet, M. A. & Warmingh, R. F. 1965 Int. J. Heat Mass Trans. 8, 979.CrossRefGoogle Scholar
Herzberg, G. 1950 Molecular Spectra and Molecular Structure. I. Spectra of Diatomic Molecules, 2nd ed.Princeton: D. Van Nostrand.Google Scholar
Hsu, S. K. & Morse, T. F. 1967 Kinetic theory of heat transfer for a gas with internal degrees of freedom. Rarefied Gas Dynamics, vol. I, 419. Ed. by Brudin, C. L.. New York: Academic Press Inc.Google Scholar
Kourganoff, V. 1952 Basic Methods in Transfer Problems. Oxford University Press.Google Scholar
Lees, L. 1959 A kinetic theory description of rarefied gas flows. GALCIT Hypersonic Research Project, Memo no. 51.Google Scholar
Lees, L. & Liu, C. 1962 Phys. Fluids 5, 1137.CrossRefGoogle Scholar
Sobole, V. V. 1963 A Treatise on Radiative Transfer. New York: D. Van Nostrand.Google Scholar
Teagan, W. P. & Springer, G. S. 1968 Phys. Fluids 11, 497.CrossRefGoogle Scholar
Venkataraman, R. & Morse, T. F. 1969 Kinetic theory of shock structure in a gas with internal degrees of freedom. Rarefied Gas Dynamics, vol. I, p. 353. Ed. by Trilling, L. and Wachman, H. Y.. New York: Academic Press Inc.Google Scholar
Viskanta, R. & Grosh, R. J. 1964 Appl. Mech. Rev. 17, 91.Google Scholar
Welander, P. 1954 Ark. Fys. 7, 44.Google Scholar