Amplitude modulation of waves in an elastic tube filled with layered fluid


Akgun G.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.42, pp.303-324, 2004 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 42
  • Publication Date: 2004
  • Doi Number: 10.1016/s0020-7225(03)00208-8
  • Title of Journal : INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Page Numbers: pp.303-324

Abstract

In this work we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical core is considered to be viscous. Using the reductive perturbation technique, the amplitude modulation of weakly nonlinear waves is studied and dissipative nonlinear Schrodinger equation is obtained as the governing evolution equation. A travelling wave type of solution for this evolution equation is sought and it is shown that the amplitude of the solitary wave for the dissipative NLS equation decays in time. (C) 2003 Elsevier Ltd. All rights reserved.