IDEAS home Printed from https://ideas.repec.org/a/hin/jijmms/820317.html
   My bibliography  Save this article

Asymptotic solution of the low Reynolds-number flow between two co-axial cones of common apex

Author

Listed:
  • M. A. Serag-Eldin
  • Y. K. Gayed

Abstract

The paper is concerned with the axi-symmetrlc, incompressible, steady, laminar and Newtonian flow between two, stationary, conical-boundaries, which exhibit a common apex but may include arbitrary angles. The flow pattern and pressure field are obtained by solving the pertinent Navier-Stokes' equations in the spherical coordinate system. The solution is presented in the form of an asymptotic series, which converges towards the creeping flow solution as a cross-sectional Reynolds-number tends to zero. The first term in the series, namely the creeping flow solution, is given in closed form; whereas, higher order terms contain functions which generally could only be expressed in infinite series form, or else evaluated numerically. Some of the results obtained for converging and diverging flows are displayed and they are demonstrated to be plausible and informative.

Suggested Citation

  • M. A. Serag-Eldin & Y. K. Gayed, 1984. "Asymptotic solution of the low Reynolds-number flow between two co-axial cones of common apex," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 7, pages 1-20, January.
    • Handle: RePEc:hin:jijmms:820317
    DOI: 10.1155/S016117128400079X
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/IJMMS/7/820317.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/IJMMS/7/820317.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/S016117128400079X?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
    ---><---

    More about this item

    Statistics

    Access and download statistics

    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:hin:jijmms:820317. 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    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.