dc.contributor.author | Bakırtaş, İlkay | en_US |
dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:19Z | |
dc.date.available | 2015-01-15T23:00:19Z | |
dc.date.issued | 2005-07 | |
dc.identifier.citation | Bakırtaş, I. & Demiray, H. (2005). Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid. International Journal of Non-Linear Mechanics, 40(6), 785-793. doi:10.1016/j.ijnonlinmec.2004.03.003 | en_US |
dc.identifier.issn | 1878-5638 | |
dc.identifier.uri | https://hdl.handle.net/11729/175 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.ijnonlinmec.2004.03.003 | |
dc.description | In carrying out this research one of the authors (H.D.) was supported by the Turkish Academy of Sciences. | en_US |
dc.description.abstract | In the present work, treating the artery as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly non-linear 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 equation admits a solitary wave-type solution with variable wave speed. It is observed that, the wave speed decreases with distance for positive tapering while it increases for negative tapering. It is further observed that, the progressive wave profile for expanding tubes (a > 0) becomes more steepened whereas for narrowing tubes (a < 0) it becomes more flattened. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science Ltd | en_US |
dc.relation.isversionof | 10.1016/j.ijnonlinmec.2004.03.003 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Pressure waves | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Shock waves | en_US |
dc.subject | Arteries | en_US |
dc.subject | Propagation | en_US |
dc.subject | Equation | en_US |
dc.subject | Approximation theory | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Kinematics | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Prestressed materials | en_US |
dc.subject | Wave propagation | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Tapered elastic tubes | en_US |
dc.subject | Variable KdV equation | en_US |
dc.subject | Tubes (components) | en_US |
dc.title | Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | International Journal of Non-Linear Mechanics | 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 | 40 | |
dc.identifier.issue | 0020-7462 | |
dc.identifier.issue | 6 | |
dc.identifier.startpage | 785 | |
dc.identifier.endpage | 793 | |
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 | Q2 | |
dc.description.wosid | WOS:000228600000001 | |