dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T22:59:44Z | |
dc.date.available | 2015-01-15T22:59:44Z | |
dc.date.issued | 2002-10 | |
dc.identifier.citation | Demiray, H. (2002). Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube. International Journal of Engineering Science, 40(17), 1897-1918. doi:10.1016/S0020-7225(02)00113-1 | en_US |
dc.identifier.issn | 0020-7225 | |
dc.identifier.issn | 1879-2197 | |
dc.identifier.uri | https://hdl.handle.net/11729/109 | |
dc.identifier.uri | http://dx.doi.org/10.1016/S0020-7225(02)00113-1 | |
dc.description | This work was supported by the Turkish Academy of Sciences. | en_US |
dc.description.abstract | In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and the blood as a Newtonian fluid, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube, by use of the reductive perturbation method. The governing evolution equation is obtained as the dissipative nonlinear Schrodinger equation with variable coefficients. It is shown that this type of equations admit solitary wave solutions with variable wave amplitude and speed. It is observed that, the wave speed increases with distance for tubes of descending radius while it decreases for tubes of ascending radius. The dissipative effects cause a decay in wave amplitude and wave speed. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Science | en_US |
dc.relation.isversionof | 10.1016/S0020-7225(02)00113-1 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Tapered tubes | en_US |
dc.subject | Wave modulation | en_US |
dc.subject | Filled tubes | en_US |
dc.subject | Propagation | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Solitons | en_US |
dc.subject | Water waves | en_US |
dc.subject | Elastic waves | en_US |
dc.subject | Newtonian flow | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Pulsatile flow | en_US |
dc.subject | Wave equations | en_US |
dc.subject | Nonlinear waves | en_US |
dc.subject | Viscous flow | en_US |
dc.title | Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube | en_US |
dc.type | article | en_US |
dc.description.version | Publisher's Version | en_US |
dc.relation.journal | International Journal of Engineering Science | 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 | 17 | |
dc.identifier.startpage | 1897 | |
dc.identifier.endpage | 1918 | |
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:000178787100001 | |