IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v118y1983i1p341-349.html
   My bibliography  Save this article

On the Burnett and higher order equations of hydrodynamics

Author

Listed:
  • García-Colín, L.S.

Abstract

Several derivations of the Burnett and higher order in the gradients equation of classical hydrodynamics are critically examined. It is clearly pointed out that the two available phenomenological derivations and Grad's kinetic derivation are compatible with the local equilibrium assumption and the entropy balance equation. Furthermore, the failure to fulfill these requirements when such equations are obtained from the Chapman-Enskog method for solving Boltzmann's equation is accounted for. A comparison with other more microscopic methods to obtain these equations is also provided.

Suggested Citation

  • García-Colín, L.S., 1983. "On the Burnett and higher order equations of hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 118(1), pages 341-349.
    • Handle: RePEc:eee:phsmap:v:118:y:1983:i:1:p:341-349
    DOI: 10.1016/0378-4371(83)90203-0
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437183902030
    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(83)90203-0?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. André Lebon, 1979. "L'aide au retour des travailleurs étrangers," Économie et Statistique, Programme National Persée, vol. 113(1), pages 37-46.
    2. Jou, D. & Rubi, J.M. & Casas-Vazquez, J., 1980. "Hydrodynamical fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 588-598.
    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. Bampi, F. & Morro, A. & Jou, D., 1981. "Two continuum approaches to a wavelength-dependent description of heat conduction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 107(2), pages 393-403.
    2. Jou, D. & Pérez-Garcia, C., 1980. "On a Ginzburg-Landau constitutive equation for the evolution and fluctuations of the heat flux," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 104(1), pages 320-332.
    3. Jou, D. & Rubi, J.M. & Casas-Vazquez, J., 1980. "Hydrodynamical fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(2), pages 588-598.
    4. Jou, D. & Casas-Vazquez, J. & Robles-Dominguez, J.A. & Garcia Colin, L.S., 1986. "Linear Burnett coefficients and thermodynamic fluctuations in extended irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(1), pages 349-358.
    5. Dudyński, Marek, 1988. "The Boltzmann-Lorentz model for particles with spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 152(1), pages 254-272.
    6. Banach, Zbigniew, 1984. "On the balance laws of extended thermodynamics (ET) for non-ideal gases," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 129(1), pages 95-124.
    7. Lebon, G. & Perez-Garcia, C. & Casas-Vazquez, J., 1986. "On a new thermodynamic description of viscoelastic materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 531-545.
    8. Jean-Luc Richard, 1998. "Rester en France, devenir Français, voter : trois étapes de l'intégration des enfants d'immigrés," Économie et Statistique, Programme National Persée, vol. 316(1), pages 151-162.
    9. Boukary, M.S. & Lebon, G., 1986. "A comparative analysis of binary fluid mixtures by extended thermodynamics and the kinetic theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 137(3), pages 546-572.
    10. Valenti, G., 1987. "A phenomenological non-equilibrium theory for the thermodynamics of Kelvin bodies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 144(1), pages 211-218.
    11. Llebot, J.E. & Jou, D. & Casas-Vásquez, J., 1983. "A thermodynamic approach to heat and electric conduction in solids," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 121(3), pages 552-562.

    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:118:y:1983:i:1:p:341-349. 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.