IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v93y1978i3p385-411.html
   My bibliography  Save this article

Modified rough sphere models, with application to sound absorption in gas mixtures

Author

Listed:
  • Offerhaus, M.J.

Abstract

Conservation laws for a pair of colliding rough spheres are newly formulated, introducing the relative velocity g measured in a reference point Y outside the point of contact and the total angular momentum (spin plus orbital about Y) transferred between the spheres. Rules for rough sphere dynamics are reviewed. From equations for temperature relaxation in a binary mixture, the rotational relaxation number Zrot is obtained. Sound absorption data for pure methanes and methane-inert gas mixtures are interpreted on the assumption that most collisions follow a two-deflection dynamics, a small fraction being governed by direct energy transfer between the components of g. The rotational temperature appears to relax against one fixed translational temperature. Attractive forces should be included in the dynamical model. Assuming that the model parameters are connected to a coefficient of non-sphericity, Zrot from theory is fitted to the experimental data with a standard deviation Δ = 17.2%.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:93:y:1978:i:3:p:385-411
    DOI: 10.1016/0378-4371(78)90162-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437178901620
    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(78)90162-0?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.
    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. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. Kestin, J. & Nagasaka, Y. & Wakeham, W.A., 1982. "The thermal conductivity of mixtures of carbon dioxide with three noble gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 113(1), pages 1-26.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. Kestin, J. & Korfali, Ö. & Sengers, J.V. & Kamgar-Parsi, B., 1981. "Density dependence and composition dependence of the viscosity of neon-helium and neon-argon mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(3), pages 415-442.

    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:93:y:1978:i:3:p:385-411. 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.