Dressed solitary waves in fluid-filled elastic tubes


Demiray H.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, vol.34, no.1, pp.185-196, 1999 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 1
  • Publication Date: 1999
  • Doi Number: 10.1016/s0020-7462(98)00027-4
  • Title of Journal : INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Page Numbers: pp.185-196

Abstract

In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thin elastic tube, the possibility of propagation of a localized travelling wave solution is investigated. Employing the hyperbolic tangent method and considering the long-wave limit, we showed that the lowest-order term in the perturbation expansion is governed by the Korteweg-de Vries equation. The solitary wave type of solution is also given for the second-order terms in the expansion. The correction terms in the speed of propagation are also obtained as a part of the solution of perturbation equations. The applicability of the present model to flow problems in arteries is also discussed. (C) 1998 Elsevier Science Ltd. All rights reserved.