IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/754262.html
   My bibliography  Save this article

Complete Solutions to Extended Stokes' Problems

Author

Listed:
  • Chi-Min Liu

Abstract

The main object of the present study is to theoretically solve the viscous flow of either a finite or infinite depth, which is driven by moving plane(s). Such a viscous flow is usually named as Stokes' first or second problems, which indicates the fluid motion driven by the impulsive or oscillating motion of the boundary, respectively. Traditional Stokes' problems are firstly revisited, and three extended problems are subsequently examined. Using some mathematical techniques and integral transforms, complete solutions which can exactly capture the flow characteristics at any time are derived. The corresponding steady-state and transient solutions are readily determined on the basis of complete solutions. Current results have wide applications in academic researches and are of significance for future studies taking more boundary conditions and non-Newtonian fluids into account.

Suggested Citation

  • Chi-Min Liu, 2008. "Complete Solutions to Extended Stokes' Problems," Mathematical Problems in Engineering, Hindawi, vol. 2008, pages 1-18, October.
    • Handle: RePEc:hin:jnlmpe:754262
    DOI: 10.1155/2008/754262
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2008/754262.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2008/754262.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2008/754262?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:jnlmpe:754262. 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.