IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v291y2016icp98-114.html
   My bibliography  Save this article

Development lengths in Newtonian Poiseuille flows with wall slip

Author

Listed:
  • Kountouriotis, Zacharias
  • Philippou, Maria
  • Georgiou, Georgios C.

Abstract

The effect of wall slip on the development of planar and axisymmetric Newtonian Poiseuille flows is studied by means of finite element simulations. The Navier slip law is employed. i.e., it is assumed that the slip velocity varies linearly with the wall shear stress. In addition to the standard definition of the development length, L, as the length required for the maximum velocity to attain 99% of its fully-developed value, the wall development length Lw is also relevant in the presence of slip. This is defined as the length required for the slip velocity to decrease to 1.01% of its fully-developed value. The numerical simulations for the planar and the axisymmetric geometries showed that both L and Lw increase with slip passing through a maximum and vanish at a critical value of the slip parameter corresponding to the full slip case. Moreover, the velocity overshoots and the axial pressure minimum near the entrance become less pronounced as slip becomes stronger. The calculations of L for the planar flow are in good agreement with available results in the literature. An interesting result is that in contrast to the axisymmetric flow in which LwL in the planar case.

Suggested Citation

  • Kountouriotis, Zacharias & Philippou, Maria & Georgiou, Georgios C., 2016. "Development lengths in Newtonian Poiseuille flows with wall slip," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 98-114.
    • Handle: RePEc:eee:apmaco:v:291:y:2016:i:c:p:98-114
    DOI: 10.1016/j.amc.2016.06.041
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316304210
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2016.06.041?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.

    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:apmaco:v:291:y:2016:i:c:p:98-114. 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: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.