Nonlinear waves in an inviscid fluid contained in a prestressed viscoelastic thin tube

Hilmi Demiray*, Nalan Antar

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

In the present work, we examine the propagation of weakly nonlinear waves in a prestressed thin viscoelastic tube filled with an incompressible inviscid fluid. Considering that the arteries are initially subjected to a large static transmural pressure P0 and an axial stretch λz and, in the course of blood flow, a finite time dependent displacement is added to this initial field, the nonlinear equation governing the motion in the radial direction is obtained. Using the reductive perturbation technique, the propagation of weakly nonlinear waves in the long-wave approximation is studied. After obtaining the general equation in the long-wave approximation, by a proper scaling, it is shown that this general equation reduces to the well-know nonlinear evolution equations. Intensifying the effect of nonlinearity in the perturbation process, the modified forms of these evolution equations are also obtained.

Original languageEnglish
Pages (from-to)325-340
Number of pages16
JournalZeitschrift fur Angewandte Mathematik und Physik
Volume48
Issue number2
DOIs
Publication statusPublished - Mar 1997

Keywords

  • Inviscid fluid
  • Solitary waves
  • Viscoelasticity

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