Nonlinear and Linear Wave Phenomena in Narrow Pipes

Document type: Journal Articles
Article type: Original article
Peer reviewed: Yes
Author(s): Oleg Rudenko, A Schvartburg
Title: Nonlinear and Linear Wave Phenomena in Narrow Pipes
Journal: Acoustical Physics
Year: 2010
Volume: 56
Issue: 4
Pagination: 429-434
ISSN: 1063-7710
Publisher: pleiades Publishing
URI/DOI: 10.1134/S1063771010040044
ISI number: 000280091000004
Organization: Blekinge Institute of Technology
Department: School of Engineering - Dept. of Mechanical Engineering (Sektionen för ingenjörsvetenskap - avd. för maskinteknik)
School of Engineering S- 371 79 Karlskrona, School of Engineering S- 371 79 Karlskrona
+46 455 38 50 00
Authors e-mail:
Language: English
Abstract: Phenomena arising in the course of wave propagation in narrow pipes are considered. For nonlinear waves described by the generalized Webster equation, a simplified nonlinear equation is obtained that allows for low frequency geometric dispersion causing an asymmetric distortion of the periodic wave profile, which qualitatively resembles the distortion of a nonlinear wave in a diffracted beam. Tunneling of a wave
through a pipe constriction is investigated. Possible applications of the phenomenon are discussed, and its relation to the problems of quantum mechanics because of the similarity of the basic equations of the Klein– Gordon and Schrödinger types is pointed out. The importance of studying the tunneling of nonlinear waves and broadband signals is indicated.
Subject: Physical Acoustics\General
Mechanical Engineering\Structural Dynamics