IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v128y1984i1p371-376.html

Kinetic theory for the volume viscosity in binary mixtures of polyatomic and noble gases

Author

Listed:
  • Van Houten, H.
  • Ten Bosch, B.I.M.

Abstract

A kinetic expression for the volume viscosity of binary mixtures of polyatomic and noble gases in terms of effective collision cross sections is derived within the framework of first order Chapman-Enskog theory using an inverse operator method. It is shown that the rotational relaxation rate, which is directly related to the volume viscosity, depends linearly on the composition of the mixture if it is assumed that coupling to higher order polynomials in internal and translational energy may be neglected. This result agrees with earlier predictions.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:128:y:1984:i:1:p:371-376
    DOI: 10.1016/0378-4371(84)90099-2
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437184900992
    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(84)90099-2?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

    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. 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)

    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. 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.
    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. van den Oord, R.J. & de Lignie, M.C. & Beenakker, J.J.M. & Korving, J., 1988. "The role of the internal energy in the distribution function of a heat conducting gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 199-216.
    4. Eggermont, G.E.J. & Oudeman, P. & Hermans, L.J.F. & Beenakker, J.J.M., 1978. "Experiments on the angular dependence of the thermomagnetic pressure difference," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 91(3), pages 345-364.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. Knaap, H.F.P. & Beenakker, J.J.M. & Kuščer, I., 1982. "Heat conduction in a nearly collisionless molecular gas," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 112(1), pages 29-43.
    10. Mazur, E. & Hijnen, H.J.M. & Hermans, L.J.F. & Beenakker, J.J.M., 1984. "Experiments on the influence of a magnetic field on diffusion in N2-noble gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 123(2), pages 412-427.
    11. 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.
    12. 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.
    13. 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.
    14. Thijsse, B.J. & 'T Hooft, G.W. & Knaap, H.F.P. & Beenakker, J.J.M., 1980. "On the Senftleben-Beenakker effect on the thermal conductivity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 102(2), pages 281-297.
    15. Offerhaus, M.J., 1978. "Modified rough sphere models, with application to sound absorption in gas mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 93(3), pages 385-411.
    16. 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.
    17. Mazur, E. & 'T Hooft, G.W. & Hermans, L.J.F. & Knaap, H.F.P., 1979. "The transverse dufour effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 98(1), pages 87-96.
    18. 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.
    19. 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.
    20. 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.

    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:128:y:1984:i:1:p:371-376. 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.