IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v387y2008i19p4740-4748.html
   My bibliography  Save this article

Lattice Boltzmann modeling of Bingham plastics

Author

Listed:
  • Wang, Chen-Hao
  • Ho, Jeng-Rong

Abstract

A new lattice Boltzmann model within the framework of D2Q9 lattices for Bingham plastics is proposed. The essence of the present model lies in incorporation of the effect of local shear rate into the lattice equilibrium distribution function. With this arrangement, particle distribution functions are able to relax to the states containing proper local shear-rate information during collisions that makes the proposed scheme a more efficient and stable one. Macroscopically, consistency of the proposed lattice Boltzmann model with the equations of motion for Bingham plastics are demonstrated through the technique of Chapman–Enskog multi-scale expansion. The benchmark problem of a 2:1 sudden expansion flow in a planar channel for a wide range of Bingham numbers, 0≤Bn≤2000, and Reynolds numbers, 0.2≤Re≤200, are executed to verify the applicability of the present model. It is shown that both the extent and shape for yielded/unyielded regions and for corner vortexes are accurately captured and their numerical values are also in good agreement with existing results.

Suggested Citation

  • Wang, Chen-Hao & Ho, Jeng-Rong, 2008. "Lattice Boltzmann modeling of Bingham plastics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4740-4748.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:19:p:4740-4748
    DOI: 10.1016/j.physa.2008.04.008
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437108003683
    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/j.physa.2008.04.008?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.

    Citations

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


    Cited by:

    1. Annabel Vanroose, 2014. "Factors that explain the regional expansion of microfinance institutions in Peru," Working Papers CEB 14-030, ULB -- Universite Libre de Bruxelles.

    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:387:y:2008:i:19:p:4740-4748. 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.

    We have no bibliographic references for this item. You can help adding them by using 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.