dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:09Z | |
dc.date.available | 2015-01-15T23:00:09Z | |
dc.date.issued | 2004-01 | |
dc.identifier.citation | Demiray, H. (2004). Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid. Mathematical and Computer Modelling, 39(2-3), 151-162. doi:10.1016/S0895-7177(04)90004-0 | en_US |
dc.identifier.issn | 0895-7177 | |
dc.identifier.issn | 1872-9479 | |
dc.identifier.uri | https://hdl.handle.net/11729/163 | |
dc.identifier.uri | http://dx.doi.org/10.1016/S0895-7177(04)90004-0 | |
dc.description.abstract | In the present work, treating the arteries as a tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible inviscid fluid the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equations admits a solitary wave type of solution with variable wave speed. It is observed that the wave speed increases with the scaled time parameter tau for positive tapering while it decreases for negative tapering, as expected. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.relation.isversionof | 10.1016/S0895-7177(04)90004-0 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Tapered tubes | en_US |
dc.subject | Variable KdV equation | en_US |
dc.subject | Nonlinear waves | en_US |
dc.subject | Propagation | en_US |
dc.subject | Pressure | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Water waves | en_US |
dc.title | Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | Mathematical and Computer Modelling | en_US |
dc.contributor.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.contributor.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.contributor.authorID | 0000-0001-8590-3396 | |
dc.identifier.volume | 39 | |
dc.identifier.issue | 2-3 | |
dc.identifier.startpage | 151 | |
dc.identifier.endpage | 162 | |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.contributor.institutionauthor | Demiray, Hilmi | en_US |
dc.relation.index | WOS | en_US |
dc.relation.index | Scopus | en_US |
dc.relation.index | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.description.quality | Q1 | |
dc.description.wosid | WOS:000189387300005 | |