Dressed solitary waves in fluid-filled elastic tubes


Demiray H.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.34, sa.1, ss.185-196, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Konu: 1
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0020-7462(98)00027-4
  • Dergi Adı: INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
  • Sayfa Sayıları: ss.185-196

Özet

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.