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

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Antar N.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.40, no.11, pp.1179-1198, 2002 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 40 Issue: 11
• Publication Date: 2002
• Doi Number: 10.1016/s0020-7225(02)00011-3
• Journal Name: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1179-1198
• Istanbul Technical University Affiliated: No

Abstract

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.