The Korteweg-de Vries-Burgers hierarchy in fluid-filled elastic tubes


Antar N.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.40, ss.1179-1198, 2002 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 40 Konu: 11
  • Basım Tarihi: 2002
  • Doi Numarası: 10.1016/s0020-7225(02)00011-3
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Sayfa Sayıları: ss.1179-1198

Özet

In this work, contribution of higher order terms in modified reductive perturbation method is studied for the propagation of weakly nonlinear waves in fluid-filled elastic tubes. The basic set of equation of fluid and equation of tube is reduced to the Korteweg-de Vries-Burgers equation for the first order displacement component in the radial direction and a linear Korteweg-de Vries-Burgers inhomogeneous equation for the second order displacement component in the radial direction. Dynamical processes of the solitary waves have been numerically analyzed by solving the Korteweg-de Vries-Burgers equation for the first order and the linearized KdV-Burgers equation with an inhomogeneous equation for the second order using pseudo-spectral method. (C) 2002 Elsevier Science Ltd. All rights reserved.