IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v243y1997i1p113-128.html
   My bibliography  Save this article

Kinetic model for uniform shear flow

Author

Listed:
  • Garzó, V.

Abstract

The so-called ellipsoidal statistical (ES) kinetic model is used to study the uniform shear flow problem in a dilute gas. This model is an extension of the well-known BGK kinetic to account for the correct Prandtl number. The velocity moments and the velocity distribution function are obtained in terms of the shear rate and a parameter Pr which plays the role of the Prandtl number. It is shown that, independently of the numerical value of Pr, the expressions of the second-degree velocity moments (which are related to the pressure tensor) coincide with the ones derived from the Boltzmann equation for Maxwell molecules. A comparison with previous results obtained from the Boltzmann equation for the fourth-degree velocity moments and for the velocity distribution function is carried out. Surprisingly enough, the comparison shows a superiority of the BGK model (Pr = 1) over the ES model (Pr = 23) in this problem. If one chooses values of Pr larger than one, the ES predictions are improved significantly.

Suggested Citation

  • Garzó, V., 1997. "Kinetic model for uniform shear flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 243(1), pages 113-128.
    • Handle: RePEc:eee:phsmap:v:243:y:1997:i:1:p:113-128
    DOI: 10.1016/S0378-4371(97)00262-8
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197002628
    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/S0378-4371(97)00262-8?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. Segura Marcenes, Wagner & Sheiham, Aubrey, 1992. "The relationship between work stress and oral health status," Social Science & Medicine, Elsevier, vol. 35(12), pages 1511-1520, December.
    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. Simone M. Costa & Carolina C. Martins & Maria de Lourdes C. Bonfim & Lívia G. Zina & Saul M. Paiva & Isabela A. Pordeus & Mauro H. N. G. Abreu, 2012. "A Systematic Review of Socioeconomic Indicators and Dental Caries in Adults," IJERPH, MDPI, vol. 9(10), pages 1-35, October.
    2. Simone M. Costa & Carolina C. Martins & Mânia Q. C. Pinto & Mara Vasconcelos & Mauro H. N. G. Abreu, 2018. "Socioeconomic Factors and Caries in People between 19 and 60 Years of Age: An Update of a Systematic Review and Meta-Analysis of Observational Studies," IJERPH, MDPI, vol. 15(8), pages 1-17, August.
    3. Md Monirul Islam & Daisuke Ekuni & Toshiki Yoneda & Aya Yokoi & Manabu Morita, 2019. "Influence of Occupational Stress and Coping Style on Periodontitis among Japanese Workers: A Cross-Sectional Study," IJERPH, MDPI, vol. 16(19), pages 1-9, September.

    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:243:y:1997:i:1:p:113-128. 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.