IDEAS home Printed from https://ideas.repec.org/a/wly/jnljam/v2009y2009i1n740172.html
   My bibliography  Save this article

Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid

Author

Listed:
  • Deepak Kumar Srivastava

Abstract

The problem of concentric pervious spheres carrying a fluid source at their centre and rotating slowly with different uniform angular velocities Ω1, Ω2 about a diameter has been studied. The analysis reveals that only azimuthal component of velocity exists, and the couple, rate of dissipated energy is found analytically in the present situation. The expression of couple on inner sphere rotating slowly with uniform angular velocity Ω1, while outer sphere also rotates slowly with uniform angular velocity Ω2, is evaluated. The special cases, like (i) inner sphere is fixed (i.e., Ω1 = 0), while outer sphere rotates with uniform angular velocity Ω2, (ii) outer sphere is fixed (i.e., Ω2 = 0), while inner sphere rotates with uniform angular velocity Ω1, and (iii) inner sphere rotates with uniform angular velocity Ω1, while outer sphere rotates at infinity with angular velocity Ω2, have been deduced.

Suggested Citation

  • Deepak Kumar Srivastava, 2009. "Slow Rotation of Concentric Spheres with Source at Their Centre in a Viscous Fluid," Journal of Applied Mathematics, John Wiley & Sons, vol. 2009(1).
    • Handle: RePEc:wly:jnljam:v:2009:y:2009:i:1:n:740172
    DOI: 10.1155/2009/740172
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2009/740172
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2009/740172?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:wly:jnljam:v:2009:y:2009:i:1:n:740172. 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: Wiley Content Delivery (email available below). General contact details of provider: https://doi.org/10.1155/4058 .

    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.