Non-linear wave modulation in a prestressed viscoelastic thin tube filled with an inviscid fluid

Akgun G., Demiray H.

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS, cilt.34, sa.3, ss.571-588, 1999 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 34 Konu: 3
  • Basım Tarihi: 1999
  • Doi Numarası: 10.1016/s0020-7462(98)00045-6
  • Sayfa Sayıları: ss.571-588


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 the arteries are initially subjected to a large static transmural pressure P-0 and an axial stretch lambda(z) and, in the course of blood flow, a finite time-dependent displacement is added to 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, dispersive and dissipative waves is examined and the evolution equations are obtained. Utilizing the same set of governing equations the amplitude modulation of weakly non-linear and dissipative but strongly dispersive waves is examined. The localized travelling wave solution to these field equations are also given. (C) 1998 Elsevier Science Ltd: All rights reserved.