Skip to main content
Log in

Higher-order approximation to the thermal conductivity of monatomic gas mixtures

  • Published:
International Journal of Thermophysics Aims and scope Submit manuscript

Abstract

This paper presents expressions for the evaluation of the second-and third-order Chapman-Cowling approximation to the thermal conductivity of a multicomponent monatomic gas mixture in the limit of zero density. Calculation of these higher-order corrections have been carried out for some monatomic gas mixtures. The higher-order corrections contribute as much as 3% to the thermal conductivity of binary mixtures of gases with a large mass ratio. It is found that the higher-order kinetic theory formulae provide an adequate description of recent thermal conductivity data that have an associated uncertainty of ±0.2%. The results of this analysis are employed to demonstrate that these thermal conductivity data are entirely consistent with earlier viscosity data on the same systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. J. de Groot, J. Kestin, H. Sookiazian, and W. A. Wakeham, Physica 92A: 117 (1978).

    Google Scholar 

  2. J. Kestin, R. Paul, A. A. Clifford, and W. A. Wakeham, Physica 100A: 349 (1980).

    Google Scholar 

  3. A. A. Clifford, R. Fleeter, J. Kestin, and W. A. Wakeham, Physica 98A: 467 (1979).

    Google Scholar 

  4. J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, The Molecular Theory of Gases and Liquids (Wiley, New York, 1964), Chap. 8.

    Google Scholar 

  5. C. Muckfenfuss and C. F. Curtiss, J. Chem. Phys. 29: 1273 (1958).

    Google Scholar 

  6. E. A. Mason, J. Chem. Phys. 28: 1000 (1958).

    Google Scholar 

  7. E. A. Mason and S. C. Saxena, J. Chem. Phys. 31: 511 (1959).

    Google Scholar 

  8. J. H. Ferziger and H. G. Kaper, Mathematical Theory of Transport Processes in Gases (North-Holland, Amsterdam, 1972), Chaps. 6 and 7.

    Google Scholar 

  9. L. Waldmann, Z. Physik 124: 175 (1947).

    Google Scholar 

  10. H. E. Khalifa, J. Kestin, and W. A. Wakeham, Physica 97A: 273 (1979).

    Google Scholar 

  11. S. Chapman and T. G. Cowling, The Mathematical Theory of Non-Uniform Gases, 3rd edn. (Cambridge University Press, London, 1972).

    Google Scholar 

  12. Ref. 8, Appendix B.

    Google Scholar 

  13. J. Kestin, S. T. Ro, and W. A. Wakeham, Physica 58: 165 (1972).

    Google Scholar 

  14. J. Kestin and E. A. Mason, A.I.P. Conf. Proc. 11: 137 (1973).

    Google Scholar 

  15. J. Kestin, H. E. Khalifa, and W. A. Wakeham, Physica 90A: 215 (1978).

    Google Scholar 

  16. A. Boushehri, L. A. Viehland, and E. A. Mason, Physica 91A: 424 (1978).

    Google Scholar 

  17. D. W. Gough, G. C. Maitland, and E. B. Smith, Mol. Phys. 24: 151 (1972).

    Google Scholar 

  18. D. W. Gough, E. B. Smith, and G. C. Maitland, Mol. Phys. 25: 1433 (1973).

    Google Scholar 

  19. G. C. Maitland and W. A. Wakeham, Mol. Phys. 35: 1443 (1978).

    Google Scholar 

  20. J. A. Barker, W. Fock, and F. Smith, Phys. Fluids 7: 897 (1964).

    Google Scholar 

  21. J. Kestin, in Thermal Conductivity 14, P. G. Klemens and T. K. Chu, eds. (Plenum, New York, 1976), p. 315.

    Google Scholar 

  22. A. S. Kalelkar and J. Kestin, J. Chem. Phys. 52: 4248 (1970).

    Google Scholar 

  23. J. Kestin, W. A. Wakeham, and K. Watanabe, J. Chem. Phys. 53: 3773 (1970).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Assael, M.J., Wakeham, W.A. & Kestin, J. Higher-order approximation to the thermal conductivity of monatomic gas mixtures. Int J Thermophys 1, 7–32 (1980). https://doi.org/10.1007/BF00506269

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00506269

Key words

Navigation