Small but finite amplitude waves in a prestressed viscoelastic thin tube filled with an inviscid fluid


Demiray H.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.35, no.4, pp.353-363, 1997 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 35 Issue: 4
  • Publication Date: 1997
  • Doi Number: 10.1016/s0020-7225(96)00091-2
  • Title of Journal : INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Page Numbers: pp.353-363

Abstract

In the present work, the propagation of weakly non-linear waves in a prestressed thin viscoelastic tube filled with an incompressible inviscid fluid is studied. Considering that arteries are initially subjected to a large static transmural pressure P-0 and an axial stretch ratio lambda(z), and in the course of blood flow, a finite time-dependent displacement is added on this initial field, the governing non-linear equation of motion in the radial direction is obtained. Using the reductive perturbation technique, the propagation of weakly non-linear waves in the long wave approximation is examined. The general equation is obtained in the long-wave approximation, and it is shown that by a proper scaling, this equation reduces to the well-known non-linear evolution equations. Intensifying the effect of non-linearity in the perturbation process, the modified forms of these evolution equations are also obtained. (C) 1997 Elsevier Science Ltd.