IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v297y2001i3p368-388.html
   My bibliography  Save this article

Nonlinear electrohydrodynamic stability of a finitely conducting jet under an axial electric field

Author

Listed:
  • Elhefnawy, Abdel Raouf F.
  • Agoor, Bothaina M.H.
  • Elcoot, Abd Elmonem Khalil

Abstract

The nonlinear analysis of the electrohydrodynamic Rayleigh–Taylor instability of a cylindrical interface separating two conducting fluids of circular cross section is investigated in the absence of gravity. The fluids are assumed to be stressed by a uniform axial electric field. The analysis is based on the method of multiple scale perturbation. The linear dispersion relation, nonlinear Schrödinger equations and a nonlinear Klein–Gordon equation are obtained. The stability conditions of the perturbed system are discussed both analytically and numerically and stability diagrams are obtained. The stability diagrams are discussed in terms of various parameters of the problem. Regions of stability and instability are identified.

Suggested Citation

  • Elhefnawy, Abdel Raouf F. & Agoor, Bothaina M.H. & Elcoot, Abd Elmonem Khalil, 2001. "Nonlinear electrohydrodynamic stability of a finitely conducting jet under an axial electric field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 297(3), pages 368-388.
    • Handle: RePEc:eee:phsmap:v:297:y:2001:i:3:p:368-388
    DOI: 10.1016/S0378-4371(01)00173-X
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S037843710100173X
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(01)00173-X?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.

    References listed on IDEAS

    as
    1. Elhefnawy, Abdel Raouf F., 1992. "Nonlinear electrohydrodynamic Kelvin-Helmholtz instability under the influence of an oblique electric field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 419-435.
    2. Mohamed, Abou El Magd A. & Elhefnawy, Abdel Raouf F. & Mahmoud, Yassmen D., 1993. "Nonlinear electrohydrodynamic Rayleigh-Taylor instability with mass and heat transfer. Effect of a tangential field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 195(1), pages 74-92.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Khalil Elcoot, Abd Elmonem & Moatimid, Galal M., 2004. "Nonlinear instability of finitely conducting cylindrical flows through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 15-35.
    2. Elmonem Khalil Elcoot, Abd, 2007. "Nonlinear instability of charged liquid jets: Effect of interfacial charge relaxation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 375(2), pages 411-428.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mohamed, A.A. & Elhefnawy, A.R.F. & Mahmoud, Y.D., 1994. "Nonlinear electrohydrodynamic Kelvin-Helmholtz instability with mass and heat transfer. Effect of a tangential field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 202(1), pages 264-290.
    2. Khalil Elcoot, Abd Elmonem & Moatimid, Galal M., 2004. "Nonlinear instability of finitely conducting cylindrical flows through porous media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 343(C), pages 15-35.
    3. Elhefnawy, Abdel Raouf F., 1995. "Intervals of an unsteady electrohydrodynamic Kelvin-Helmoltz stability," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(2), pages 229-241.

    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:eee:phsmap:v:297:y:2001:i:3:p:368-388. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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/physica-a-statistical-mechpplications/ .

    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.