IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v38y2008i4p1134-1145.html
   My bibliography  Save this article

Forced Korteweg-de Vries–Burgers equation in an elastic tube filled with a variable viscosity fluid

Author

Listed:
  • Gaik, Tay Kim
  • Demiray, Hilmi

Abstract

In the present work, treating the arteries as a prestressed thin walled elastic tube with a stenosis and the blood as a Newtonian fluid with variable viscosity, we have studied the propagation of weakly nonlinear waves in such a composite medium, in the long wave approximation, by use of the reductive perturbation method [Jeffrey A, Kawahara T. Asymptotic methods in nonlinear wave theory. Boston: Pitman; 1981]. We obtained the forced Korteweg-de Vries–Burgers (FKdVB) equation with variable coefficients as the evolution equation. By use of the coordinate transformation, it is shown that this type of evolution equation admits a progressive wave solution with variable wave speed. As might be expected from physical consideration, the wave speed reaches its maximum value at the center of stenosis and gets smaller and smaller as we go away from the center of the stenosis. The variations of radial displacement and the fluid pressure with the distance parameter are also examined numerically. The results seem to be consistent with physical intuition.

Suggested Citation

  • Gaik, Tay Kim & Demiray, Hilmi, 2008. "Forced Korteweg-de Vries–Burgers equation in an elastic tube filled with a variable viscosity fluid," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1134-1145.
    • Handle: RePEc:eee:chsofr:v:38:y:2008:i:4:p:1134-1145
    DOI: 10.1016/j.chaos.2007.02.005
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S096007790700077X
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2007.02.005?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.

    Citations

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


    Cited by:

    1. Demiray, Hilmi, 2009. "Forced KdV equation in a fluid-filled elastic tube with variable initial stretches," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1388-1395.
    2. Demiray, Hilmi, 2009. "Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 358-364.

    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:chsofr:v:38:y:2008:i:4:p:1134-1145. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.