IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v343y2004icp1-14.html
   My bibliography  Save this article

Separation in the flow through peristaltic motion of a carreau fluid in uniform tube

Author

Listed:
  • El Hakeem Abd El Naby, Abd
  • El Misery, A.E.M.
  • Abd El Kareem, M.F.

Abstract

The problem of separated flow (trapping) through peristaltic motion of an incompressible carreau fluid in uniform tube has been investigated under long wavelength approximation neglecting the wave number and using a perturbation series in the Weissenberg number (Wi) was used to obtain explicit forms for the velocity field, a relation between the flow rate and the pressure gradient and a relation between the friction force and the flow rate, in terms of parameter Weissenberg number (Wi), power-law index (n) and amplitude ratio φ. A condition frequently used to predict separated flow in boundary layer theory is to set the vorticity equal to zero on the boundary. We solve the problem numerically using Newton Raphson method to get separated flow points on the wall surface. From our results, the trapping region at the wall decreases with increasing volume flow rate and we found that there exist two values of longitudinal component of separated flow points one of them approaches to inlet of contraction and the other approaches to outlet of contraction. Also, the magnitude of radial velocity of the fluid at the separated flow points for Newtonian fluid is greater than non-Newtonian fluid and the magnitude of pressure rise at separated flow points approximately has the same values at the two values of the longitudinal component of separated flow points. Moreover, the friction force at separated flow points declare reflux phenomena in the contraction region. We discuss behavior of the vertical velocity, the pressure rise and the friction force at separated flow points for the physical parameters of interest.

Suggested Citation

  • El Hakeem Abd El Naby, Abd & El Misery, A.E.M. & Abd El Kareem, M.F., 2004. "Separation in the flow through peristaltic motion of a carreau fluid in uniform tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 1-14.
    • Handle: RePEc:eee:phsmap:v:343:y:2004:i:c:p:1-14
    DOI: 10.1016/j.physa.2004.05.072
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437104006600
    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.2004.05.072?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. Hayat, T. & Ali, N., 2006. "Peristaltically induced motion of a MHD third grade fluid in a deformable tube," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 370(2), pages 225-239.
    2. El Naby, Abd El Hakeem Abd & El Misery, A.E.M. & Abd El Kareem, M.F., 2006. "Effects of a magnetic field on trapping through peristaltic motion for generalized Newtonian fluid in channel," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 79-92.

    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:343:y:2004:i:c:p:1-14. 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.