dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:01:06Z | |
dc.date.available | 2015-01-15T23:01:06Z | |
dc.date.issued | 2008-05 | |
dc.identifier.citation | Demiray, H. (2008). Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius. International Journal of Non-Linear Mechanics, 43(4), 241-245. doi:10.1016/j.ijnonlinmec.2007.12.001 | en_US |
dc.identifier.issn | 0020-7462 | |
dc.identifier.uri | https://hdl.handle.net/11729/294 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.ijnonlinmec.2007.12.001 | |
dc.description | This work was supported by the Turkish Academy of Sciences. | en_US |
dc.description.abstract | In the present work, by employing the non-linear equations of motion of an incompressible, inhomogeneous, isotropic and prestressed thin elastic tube with variable radius and the approximate equations of an inviscid fluid, which is assumed to be a model for blood, we studied the propagation of non-linear waves in such a medium, in the longwave approximation. Utilizing the reductive perturbation method we obtained the variable coefficient Korteweg-de Vries (KdV) equation as the evolution equation. By seeking a progressive wave type of solution to this evolution equation, we observed that the wave speed decreases for increasing radius and shear modulus, while it increases for decreasing inner radius and the shear modulus. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Pergamon-Elsevier Scıence Ltd | en_US |
dc.relation.isversionof | 10.1016/j.ijnonlinmec.2007.12.001 | |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Approximation theory | en_US |
dc.subject | Elastic moduli | en_US |
dc.subject | Elastic tubes | en_US |
dc.subject | Elastic waves | en_US |
dc.subject | Inhomogeneous elastic tubes | en_US |
dc.subject | Inviscid fluid | en_US |
dc.subject | Korteweg-de Vries equation | en_US |
dc.subject | Nonlinear equations | en_US |
dc.subject | Nonlinear waves | en_US |
dc.subject | Pressure | en_US |
dc.subject | Propagation | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Solitons | en_US |
dc.subject | Tubes (components) | en_US |
dc.subject | Variable coefficient KdV equation | en_US |
dc.subject | Variable coefficients | en_US |
dc.subject | Water waves | en_US |
dc.title | Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius | 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 | 43 | |
dc.identifier.issue | 4 | |
dc.identifier.startpage | 241 | |
dc.identifier.endpage | 245 | |
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:000255813200002 | |