IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v183y1992i4p519-536.html
   My bibliography  Save this article

Alternative expressions for the thermal conductivity of dilute gas mixtures

Author

Listed:
  • Ross, M.J.
  • Vesovic, V.
  • Wakeham, W.A.

Abstract

New expressions for the thermal conductivity of a multicomponent mixture of polyatomic gases have been derived within the semi-classical Wang Chang-Uhlenbeck kinetic theory. Using the Wang Chang-Uhlenbeck formulation of the solution of the kinetic equations, the thermal conductivity is written explicitly, to an arbitrary order of approximation, in terms of a series of effective cross-sections for the first time and in a form suitable for computer implementation. In the alternative formulation of Thijsse, 't Hooft, Combe, Knaap and Beenakker, the thermal conductivity of the mixture is also written explicitly in terms of the effective cross-section. The resulting expression proves to be much simpler than hitherto available.

Suggested Citation

  • Ross, M.J. & Vesovic, V. & Wakeham, W.A., 1992. "Alternative expressions for the thermal conductivity of dilute gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(4), pages 519-536.
    • Handle: RePEc:eee:phsmap:v:183:y:1992:i:4:p:519-536
    DOI: 10.1016/0378-4371(92)90298-5
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437192902985
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(92)90298-5?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Mason, George, 1963. "Towards a Production Function for Supplementary Irrigation on Far North Coast Dairy Farms," Review of Marketing and Agricultural Economics, Australian Agricultural and Resource Economics Society, vol. 31(02), pages 1-9, June.
    2. Kestin, J. & Ro, S.T. & Wakeham, W.A., 1983. "The transport properties of binary mixtures of hydrogen with CO, CO2 and CH4," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 119(3), pages 615-638.
    3. Eggermont, G.E.J. & Vestner, H. & Knaap, H.F.P., 1976. "Influence of a magnetic field on diffusion and thermal diffusion in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 82(1), pages 23-46.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ern, Alexandre & Giovangigli, Vincent, 1995. "Thermal conduction and thermal diffusion in dilute polyatomic gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(4), pages 526-546.
    2. Vesovic, V. & Wakeham, W.A., 1993. "Practical, accurate expressions for the thermal conductivity of atom-diatom gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 501-514.
    3. Heck, E.L. & Dickinson, A.S., 1995. "Traditional transport properties of CO," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 217(1), pages 107-123.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Van Houten, H. & Ten Bosch, B.I.M., 1984. "Kinetic theory for the volume viscosity in binary mixtures of polyatomic and noble gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 128(1), pages 371-376.
    2. Mason, E.A. & Mazur, E., 1985. "Theory of field effects on transport properties of polyatomic gases in the transition regime," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 130(3), pages 437-464.
    3. Alves, Giselle M. & Kremer, G.M., 1993. "Kinetic theory for binary mixtures of monatomic and polyatomic gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 192(1), pages 63-84.
    4. Ern, Alexandre & Giovangigli, Vincent, 1996. "Kinetic theory of dilute gas mixtures with independent internal energy modes near equilibrium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 224(3), pages 613-625.
    5. Bass, F. & Breunese, J.N. & Knaap, H.F.P., 1977. "Flow birefringence in gaseous mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 34-43.
    6. Abe, Y. & Kestin, J. & Khalifa, H.E. & Wakeham, W.A., 1978. "The viscosity and diffusion coefficients of the mixtures of four light hydrocarbon gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(1), pages 155-170.
    7. van Ditzhuyzen, P.G. & Thijsse, B.J. & Van Der Meij, L.K. & Hermans, L.J.F. & Knaap, H.F.P., 1977. "The viscomagnetic effect in polar gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 53-87.
    8. Fleeter, R.D. & Kestin, J. & Paul, R. & Wakeham, W.A., 1981. "The thermal conductivity of mixtures of nitrogen with four noble gases at room temperature," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 108(2), pages 371-401.
    9. Green, S. & Liu, W.-K. & McCourt, F.R., 1983. "Close-coupled calculations of viscosity transport-relaxation cross sections for HD-He: Comparison with experiment," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 117(2), pages 616-630.
    10. Baas, F. & Oudeman, P. & Knaap, H.F.P. & Beenakker, J.J.M., 1977. "Experimental investigation of the nonequilibrium velocity distribution function in a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 89(1), pages 73-89.
    11. Kestin, J. & Khalifa, H.E. & Ro, S.T. & Wakeham, W.A., 1977. "The viscosity and diffusion coefficients of eighteen binary gaseous systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(2), pages 242-260.
    12. Van Houten, H. & Hermans, L.J.F. & Beenakker, J.J.M., 1985. "A survey of experimental data related to the non-spherical interaction for simple classical linear molecules and their mixtures with noble gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 131(1), pages 64-103.
    13. 't Hooft, G.W. & Knaap, H.F.P., 1979. "Transverse thermal diffusion in an electric field for optically active systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 97-104.
    14. Van den Oord, R.J. & De Lignie, M.C. & Beenakker, J.J.M. & Korving, J., 1988. "Optical determination of the J-dependence of angular momentum alignment in a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 150(1), pages 77-96.
    15. Philippi, P.C. & Brun, R., 1981. "Kinetic modeling of polyatomic gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 105(1), pages 147-168.
    16. Breunese, J.N. & van Houten, H., 1984. "The theory of viscous diffusion in the presence of a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 126(1), pages 46-65.
    17. Mazur, E. & Beenakker, J.J.M. & Kuščer, I., 1983. "Kinetic theory of field effects in nonuniform molecular gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 430-456.
    18. Di Pippo, R. & Dorfman, J.R. & Kestin, J. & Khalifa, H.E. & Mason, E.A., 1977. "Composition dependence of the viscosity of dense gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 86(2), pages 205-223.
    19. 't Hooft, G.W. & Köhler, W.E. & Knaap, H.F.P., 1979. "Viscosity and thermal conductivity for symmetric top molecules under the simultaneous influence of an electric and a magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 105-117.
    20. Baas, F. & Oudeman, P. & Knaap, H.F.P. & Beenakker, J.J.M., 1977. "Heat-flow birefringence in gaseous O2," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 88(1), pages 44-52.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:183:y:1992:i:4:p:519-536. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.