IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v82y2012i6p1008-1016.html
   My bibliography  Save this article

Suppression of Rayleigh–Taylor instability using electric fields

Author

Listed:
  • Barannyk, Lyudmyla L.
  • Papageorgiou, Demetrios T.
  • Petropoulos, Peter G.

Abstract

This study considers the stability of two stratified immiscible incompressible fluids in a horizontal channel of infinite extent. Of particular interest is the case with the heavier fluid initially lying above the lighter fluid, so that the system is susceptible to the classical Rayleigh–Taylor instability. An electric field acting in the horizontal direction is imposed on the system and it is shown that it can act to completely suppress Rayleigh–Taylor instabilities and produces a dispersive regularization in the model. Dispersion relations are derived and a class of nonlinear traveling waves (periodic and solitary) is computed. Numerical solutions of the initial value problem of the system of model evolution equations that demonstrate a stabilization of Rayleigh–Taylor instability due to the electric field are presented.

Suggested Citation

  • Barannyk, Lyudmyla L. & Papageorgiou, Demetrios T. & Petropoulos, Peter G., 2012. "Suppression of Rayleigh–Taylor instability using electric fields," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 82(6), pages 1008-1016.
    • Handle: RePEc:eee:matcom:v:82:y:2012:i:6:p:1008-1016
    DOI: 10.1016/j.matcom.2010.11.015
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475410004039
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2010.11.015?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:eee:matcom:v:82:y:2012:i:6:p:1008-1016. 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/mathematics-and-computers-in-simulation/ .

    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.