A Study on the Calculation Model for the Emissivities of Carbon Dioxide and Water Vapor

  • Published : 2001.02.01

Abstract

The main mode of heat transfer of combustion gases at high temperature is thermal radiation of the participating gases, which are mainly carbon dioxide and water vapor. Therefore, the information of the emissivities of carbon dioxide and water vapor would be very important in the thermal performance analysis of a furnace. In this study, an exponential model for the emissivities of carbon dioxide and water vapor is derived as a function of the product of the partial pressure and characteristic length and a polynomial of reciprocal of temperature. Error analysis of the calculated values from the present model is performed for the temperature ranges of 555.6∼2777.8K and the partial-pressure-length product ranges of 0.09144∼609.6 cm-atm. For carbon dioxide, the difference between the values from the present model and the Hottels chart is less than 2.5% using a polynomial in 1/T of degree of 4. For water vapor, the model can predict the emissivity within 2.5% difference using a polynomial in 1/T of degree of 3.

Keywords

References

  1. Farge, I. H., 1976, 'Radiation Heat Transmission From Non-Luminous Gases, Computational Study of the Emissivities of Water Vapor and Carbon Dioxide,' SC. D. Thesis, MIT, Cambridge
  2. Farag, I. H. and Allam, T. A., 1981, 'Gray-Gas Approximation of Carbon Dioxide and Standard Emissivity,' J. of Heat Transfer, Vol. 103, pp. 403-405
  3. Felske, J. D. and Charalam Populos, T. T., 1982, 'Gray Gas Weighting Coefficients for Arbitrary Gas-Soot Mixtures,' Int. J. of Heat and mass transfer, Vol. 25, No. 12, pp. 1849-1855 https://doi.org/10.1016/0017-9310(82)90107-7
  4. Ha, M. Y. and Hur, B. K., 1986, 'Calculation of the Absorption Coefficient and Weighting Factor Expressing the Total Emissivity of Flame,' Trans. KSME., Vol. 10, No. 1, pp. 121-130
  5. Hottel, H. C. and Sarofim, A. F., 1967. Radiative Heat Transfer, Mcgraw-Hill, New York
  6. Kim, O. J., 1997, 'Spectral Weighted-Sum-of-Gray-Gases Modeling for Narrow Bands,' Ph. D. Thesis, Korea Advanced Institute of Science and Technology
  7. Mcadams, W. H., 1954, Heat Transmission, Mcgraw-Hill
  8. Nakara, N. K. and Smith, T. S., 1977, 'Combined Radiation-Convection for a Real gas,' J. of Heat Transfer, pp. 60-65
  9. Pivovonsky et al., 1961, 'Tables of Blackbody Radiation Functions Macmillian Company,' New York
  10. Sarofim, A. F., Farag, I. H. and Hottel, H. C., 1978, 'Radiative Heat Transmission From Non-luminous Gases, Computational Study of the Emissivity of Carbon Dioxide,' Presented at the AIAA-ASME Thermodynamics & Heat Transfer Conference, Palo, Alto, Calf
  11. Taine, J., Soufiani, A., Riviere, P., and M. Perrin, 1998, Recent Properties of Hot Gases, Heat Transfer 1998, Vol. 1, pp. 175-187
  12. Wiebelt, J. A., 1966, 'Engineering Radition Heat Transfer, Holt, Riehart and Winston,' Inc., New York