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.
| Original language | English |
|---|---|
| Pages (from-to) | 1179-1198 |
| Number of pages | 20 |
| Journal | International Journal of Engineering Science |
| Volume | 40 |
| Issue number | 11 |
| DOIs | |
| Publication status | Published - Jul 2002 |
Funding
The author would like to thank to Dr. Ali Ercengiz and Dr. Ong Chee Tiong for their assistance in numerical calculations. This work was supported by TÜBITAK, NATO.
| Funders | Funder number |
|---|---|
| North Atlantic Treaty Organization | |
| Türkiye Bilimsel ve Teknolojik Araştirma Kurumu |