IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v393y2014icp527-534.html
   My bibliography  Save this article

Optimal structure of tree-like branching networks for fluid flow

Author

Listed:
  • Kou, Jianlong
  • Chen, Yanyan
  • Zhou, Xiaoyan
  • Lu, Hangjun
  • Wu, Fengmin
  • Fan, Jintu

Abstract

Tree-like branching networks are very common flow or transportation systems from natural evolution. In this study, the optimal structures of tree-like branching networks for minimum flow resistance are analyzed for both laminar and turbulent flow in both smooth and rough pipes. It is found that the dimensionless effective flow resistance under the volume constraint for different flows is sensitive to the geometrical parameters of the structure. The flow resistance of the tree-like branching networks reaches a minimum when the diameter ratio β∗ satisfies β∗=Nk, where, N is the bifurcation number N=2,3,4,… and k is a constant. For laminar flow, k=−1/3, which is in agreement with the existing Murray’s law; for turbulent flow in smooth pipes, k=−3/7; for turbulent flow in rough pipes, k=−7/17. These results serve as design guidelines of efficient transport and flow systems.

Suggested Citation

  • Kou, Jianlong & Chen, Yanyan & Zhou, Xiaoyan & Lu, Hangjun & Wu, Fengmin & Fan, Jintu, 2014. "Optimal structure of tree-like branching networks for fluid flow," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 393(C), pages 527-534.
    • Handle: RePEc:eee:phsmap:v:393:y:2014:i:c:p:527-534
    DOI: 10.1016/j.physa.2013.08.029
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437113007589
    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.2013.08.029?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. Zhu, Jianting, 2018. "Effective aperture and orientation of fractal fracture network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 27-37.

    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:393:y:2014:i:c:p:527-534. 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.