Radiative Properties of High Temperature Gases

  • Shih-I Pai


One of the most important properties of gases in our previous discussions of radiation gasdynamics is the coefficient of absorption of gas. In our macroscopic analysis of radiation gasdynamics, the absorption coefficient is assumed to be a known function of the state variables: density and temperature of the gas, as well as a function of the composition of the gas mixture. In order to determine the coefficient of absorption, we have to use the microscopic analysis or the experimental method. The absorption coefficient represents an average but complicated physical process in the atoms of the gases due to the interaction of matter and energy. Since they are the physical processes in the atoms, we have to use the quantum theory in order to obtain the accurate results. However, the classical theory of absorption and emission of radiation will give us qualitatively correct results in a rather simple manner. Hence we shall first discuss the classical theory in section 2.


Quantum Theory Thermal Radiation Shock Tube Flow Problem External Electric Field 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Aller, L. H.: Astrophysics: The atmospheres of the sun and stars. Second edition. The Ronald Press Co., New York, 1963.Google Scholar
  2. 2.
    Armstrong, B. H., J. Sokoloff, R. W. Nicholls, D. H. Holland and R. E. Meyerott: Radiative properties of high temperature air. Jour. Quant. Spect. Rad. Transf. Vol. 1, pp. 143–162, Pergamon Press, 1961.ADSCrossRefGoogle Scholar
  3. 3.
    Born, M.: Atomic Physics. Hafner Publishing Co., 1946.Google Scholar
  4. 4.
    Chandrasekhar, S.: Radiative Transfer. Dover Publications, New York, 1960.Google Scholar
  5. 5.
    Chapin, C, Jr.: Physics of Hydrogen Radiation. Report A & ES 62-12, School of Aero. & Eng. Sci., Purdue Univ., 1962.Google Scholar
  6. 6.
    Condon, E. U., and G. H. Shortley: The Theory of Atomic Spectra. Cambridge Univ. Press, 1953.Google Scholar
  7. 7.
    Farrari, G., and J. H. Clarke: Photoionization upstream of a strong shock wave. Report CM-1020, Div. of Eng., Brown Univ., 1963.Google Scholar
  8. 8.
    Godske, C. L., T. Bergeron, J. Berknes, and R. C. Bundgaard: Dynamic Meteorology and Weather Forecasting. American Meteorological Soc. and Carnegie Institution of Washington, 1957.Google Scholar
  9. 9.
    Goulard R.: Fundamental equations of radiation gasdynamics. Report A & ES 62–4, School of Aero. & Eng. Sci., Purdue Univ., 1962.Google Scholar
  10. 10.
    Hanson, C. F.: A radiation model for non-equilibrium molecular gases. AIAA Jour. Vol. 2, No. 4, pp. 611–616, April 1964.CrossRefGoogle Scholar
  11. 11.
    Heitler, W.: The Quantum Theory of Radiation. Oxford Univ. Press, 3rd Ed., 1954.Google Scholar
  12. 12.
    Kivel, B., and K. Bailey: Tables of radiation from high temperature air. Res. Report 21, AVCO Res. Lab., 1957.Google Scholar
  13. 13.
    Krascella, N. L.: Tables of the composition, opacity and thermodynamics properties of hydrogen at high temperature. NASA SP-3005, 1963.Google Scholar
  14. 14.
    Krascella, N. L.: Theoretical Investigation of the absorption and scattering characteristics of small particles. United Aircraft Corp. Res. Lab. report C-910092-1, Sept. 1964.Google Scholar
  15. 15.
    Lighthill, M. J.: Dynamics of a dissociating gas. pt. 2 Quasiequilibrium transfer theory. Jour. Fluid Mech. vol. 8, pt. 2, pp. 161–182, 1960.MathSciNetADSMATHCrossRefGoogle Scholar
  16. 16.
    Magee, J. L., and J. O. Hirschfelder: Thermal radiation phenomena. Chap. 3 of report on blast wave. Report LA-2000, Los Alamos Sci. Lab., 1947.Google Scholar
  17. 17.
    Marteney, P. J.: Experimental investigation of the opacity of small particles. United Aircraft Corp. Res. Lab. report C-910092-2, Sept. 1964.Google Scholar
  18. 18.
    Mensel, D. H.: Selected papers on physical processes in ionized plasma. Dover Publications, Co., 1962.Google Scholar
  19. 19.
    Pai, S. I.: Thermal Radiation effects in hypersonic flow field Proc. on Non-linear Engineering Problems. Academies Press, pp. 163–183, 1964.Google Scholar
  20. 20.
    Planck, M.: The Theory of Heat Radiation. Dover Publication, 1959.Google Scholar
  21. 21.
    von Hippel, A. R.: Dielectrics and Waves. John Wiley and Sons, Inc., New York, 1954.Google Scholar
  22. 22.
    Wilkerson, T.: The use of the shock tube as a spectroscopic source with the application to the measurement of the gf-value for lines of neutral and singly ionized chromium. Ph. D. Thesis, Univ. of Michigan, 1961, also Tech. report AFOSR 1151, University of Michigan, 1961.Google Scholar

Copyright information

© Springer-Verlag / Wien 1966

Authors and Affiliations

  • Shih-I Pai
    • 1
  1. 1.Institute for Fluid Dynamics and Applied MathematicsUniversity of MarylandCollege ParkUSA

Personalised recommendations