International Journal of Thermophysics

, Volume 10, Issue 2, pp 417–426 | Cite as

A simplified representation for the thermal conductivity of fluids in the critical region

  • G. A. Olchowy
  • J. V. Sengers


A practical representation for the critical thermal conductivity enhancement is developed by incorporating a finite cutoff into the asymptotic mode-coupling integrals for the diffusivity associated with the critical fluctuations. This procedure yields a simplified approximation to a more complete nonasymptotic solution of the mode-coupling integrals obtained by us earlier. A comparison is made with thermal conductivity data for carbon dioxide, ethane, and methane.

Key words

carbon dioxide critical phenomena ethane methane thermal conductivity thermal diffusivity 


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  1. 1.
    For a review see J. V. Sengers,Int. J. Thermophys. 6:203 (1985).Google Scholar
  2. 2.
    G. A. Olchowy and J. V. Sengers,Phys. Rev. Lett. 61:15 (1988).Google Scholar
  3. 3.
    J. V. Sengers and P. H. Keyes,Phys. Rev. Lett. 26:70 (1971).Google Scholar
  4. 4.
    K. Kawasaki, inPhase Transitions and Critical Phenomena, Vol. 5A, C. Domb and M. S. Green, eds. (Academic Press, New York, 1976), p. 165.Google Scholar
  5. 5.
    J. K. Bhattacharjee, R. A. Ferrell, R. S. Basu, and J. V. Sengers,Phys. Rev. A 24:1469 (1981).Google Scholar
  6. 6.
    V. Vesovic, W. A. Wakeham, G. A. Olchowy, J. V. Sengers, J. T. R. Watson, and J. Millat,J. Phys. Chem. Ref. Data (in press).Google Scholar
  7. 7.
    G. A. Olchowy, Ph.D. thesis (University of Maryland, College Park, 1989).Google Scholar
  8. 8.
    R. Mostert, H. R. van den Berg, and P. S. van der Gulik,Int. J. Thermophys. 10:409 (1989).Google Scholar
  9. 9.
    O. B. Tsvetkov, G. A. Olchowy, and J. V. Sengers (in press).Google Scholar
  10. 10.
    R. S. Basu and J. V. Sengers, inProceedings, 8th Symposium on Thermophysical Properties, J. V. Sengers, ed. (American Society of Mechanical Engineers, New York, 1982), Vol. I, p. 434.Google Scholar
  11. 11.
    J. V. Sengers and J. T. R. Watson,J. Phys. Chem. Ref. Data 15:1291 (1986).Google Scholar
  12. 12.
    J. C. Nieuwoudt, B. Le Neindre, R. Tufeu, and J. V. Sengers,J. Chem. Eng. Data 32:1 (1987).Google Scholar
  13. 13.
    K. Kawasaki,Ann. Phys. (N.Y.) 61:1 (1970).Google Scholar
  14. 14.
    R. A. Ferrell,Phys. Rev. Lett. 24:1169 (1970).Google Scholar
  15. 15.
    J. V. Sengers and J. M. H. Levelt Sengers, inProgress in Liquid Physics, C. A. Croxton, ed. (Wiley, New York, 1978), p. 103.Google Scholar
  16. 16.
    P. C. Albright, T. J. Edwards, Z. Y. Chen, and J. V. Sengers,J. Chem. Phys. 87:1717 (1987).Google Scholar
  17. 17.
    J. F. Ely, J. W. Magee, and W. M. Haynes, Research Report RR-110 (Gas Processors Association, Tulsa, Okla., 1987).Google Scholar
  18. 18.
    D. G. Friend et al., Private communication.Google Scholar
  19. 19.
    D. S. Kurumov, G. A. Olchowy, and J. V. Sengers,Int. J. Thermophys. 9:73 (1988).Google Scholar
  20. 20.
    S. Angus, B. Armstrong, and K. M. de Reuck,International Thermodynamic Tables of the Fluid State-5 Methane (Pergamon, Oxford, 1978).Google Scholar
  21. 21.
    R. D. Trengrove and W. A. Wakeham,J. Phys. Chem. Ref. Data 16:175 (1987).Google Scholar
  22. 22.
    A. D. Koslov, V. M. Kusnezov, Y. V. Mamonov, V. I. Sukov, and A. F. Arinin, GSSSD 94−86 (Gosstandart, Moscow, 1986).Google Scholar
  23. 23.
    A. Michels, J. V. Sengers, and P. S. van der Gulik,Physica 28:1216 (1962).Google Scholar
  24. 24.
    H. M. Roder, NBSIR 84-3006 (National Bureau of Standards, Boulder, Colorado, 1984).Google Scholar
  25. 25.
    H. M. Roder and C. A. Nieto de Castro,High Temp. High Press. 17:453 (1985).Google Scholar
  26. 26.
    H. M. Roder,Int. J. Thermophys. 6:119 (1985).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • G. A. Olchowy
    • 1
  • J. V. Sengers
    • 1
    • 2
  1. 1.Institute for Physical Science and TechnologyUniversity of MarylandCollege ParkUSA
  2. 2.Thermophysics DivisionNational Institute of Standards and TechnologyGaithersburgUSA

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