Evolution equations for nonlinear waves in a tapered elastic tube filled with a viscous fluid


Bakirtas I. , Antar N.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.41, no.11, pp.1163-1176, 2003 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 41 Issue: 11
  • Publication Date: 2003
  • Doi Number: 10.1016/s0020-7225(03)00005-3
  • Title of Journal : INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Page Numbers: pp.1163-1176

Abstract

In this work, employing the reductive perturbation method and treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube, the propagation of weakly nonlinear waves is investigated in such a fluid-filled elastic tube. By considering the blood as an incompressible viscous fluid, depending on the viscosity and perturbation parameters we obtained various evolution equations as the extended Korteweg-de Vries (KdV), extended KdV Burgers and extended perturbed KdV equations. Progressive wave solutions to these evolution equations are obtained and it is observed that the wave speeds increase with the distance for negative tapering while they decrease for positive tapering. (C) 2003 Elsevier Science Ltd. All rights reserved.