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 +46 455 38 50 00 http://www.bth.se/ing/ |
| Authors e-mail: | oleg.rudenko@bth.se |
| 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 |
| Note: | http://www.maik.ru/cgi-perl/journal.pl?lang=eng&name=acoust |
