IDEAS home Printed from
   My bibliography  Save this article

A general model for optimal branching of fluidic networks


  • Miguel, Antonio F.


Ramifying networks of tubes for delivery and multipoint distribution of fluids pervade engineered and living systems. Bifurcating (pairing) is the basic building blocks of all these trees. Comprehensively characterizing of ramified networks requires optimization rules for the sizes of the bifurcating tubes. In this paper, we derive generalized rules applicable to branching of both straight and curved tubes, impermeable and permeable tubes for fluid flows that exhibit different properties (Newtonian and non-Newtonian, laminar and turbulent). Key characteristics of design resulting of these rules are also discussed and compared with analytical expressions for the optimum daughter–parent sizes available in the literature. Here we also report the influence of individual slug/bubbles on flows in optimal branching tubes that is of practical importance, since they are found in both engineered and living systems.

Suggested Citation

  • Miguel, Antonio F., 2018. "A general model for optimal branching of fluidic networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 665-674.
  • Handle: RePEc:eee:phsmap:v:512:y:2018:i:c:p:665-674
    DOI: 10.1016/j.physa.2018.07.054

    Download full text from publisher

    File URL:
    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

    As the access to this document is restricted, you may want to search for a different version of it.


    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:512:y:2018:i:c:p:665-674. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.