IDEAS home Printed from https://ideas.repec.org/a/spr/indpam/v49y2018i2d10.1007_s13226-018-0266-7.html
   My bibliography  Save this article

Effect of a Floating Elastic Plate/Membrane on the Motion Due to a Ring Source in Water With Porous Bed

Author

Listed:
  • R. Gayen

    (Indian Institute of Technology)

  • Najnin Islam

    (Indian Institute of Technology)

Abstract

The velocity potentials due to the presence of a horizontal circular ring of wave sources of timedependent strength in water of finite constant depth with a floating elastic plate or a floating membrane are determined. The uniform bottom is composed of non-dissipative porous medium. The problems are formulated as the initial value problems and the Laplace transform method is used to solve these. For time-harmonic source strength, the steady-state analysis of the potentials reveals the existence of outgoing progressive waves. Graphs for the surface profiles are presented for different values of the tension parameter for the membrane, flexural rigidity of ice and the porous-effect parameter.

Suggested Citation

  • R. Gayen & Najnin Islam, 2018. "Effect of a Floating Elastic Plate/Membrane on the Motion Due to a Ring Source in Water With Porous Bed," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(2), pages 239-256, June.
    • Handle: RePEc:spr:indpam:v:49:y:2018:i:2:d:10.1007_s13226-018-0266-7
    DOI: 10.1007/s13226-018-0266-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13226-018-0266-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13226-018-0266-7?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:spr:indpam:v:49:y:2018:i:2:d:10.1007_s13226-018-0266-7. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.