Solitary waves in a fluid-filled thin elastic tube with variable cross-section
dc.authorid | 0000-0001-8590-3396 | |
dc.contributor.author | Demiray, Hilmi | en_US |
dc.date.accessioned | 2015-01-15T23:00:49Z | |
dc.date.available | 2015-01-15T23:00:49Z | |
dc.date.issued | 2007-08 | |
dc.department | Işık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümü | en_US |
dc.department | Işık University, Faculty of Arts and Sciences, Department of Mathematics | en_US |
dc.description | This work was supported by the Turkish Academy of Sciences. | en_US |
dc.description.abstract | The present work treats the arteries as a thin walled prestressed elastic tube with variable cross-section and uses the longwave approximation to study 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, for soft biological tissues with an exponential strain energy function the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes. | en_US |
dc.description.sponsorship | Türkiye Bilimler Akademisi | en_US |
dc.description.version | Publisher's Version | en_US |
dc.identifier.citation | Demiray, H. (2007). Solitary waves in a fluid-filled thin elastic tube with variable cross-section. Communications in Nonlinear Science and Numerical Simulation, 12(5), 735-744. doi:10.1016/j.cnsns.2005.05.008 | en_US |
dc.identifier.doi | 10.1016/j.cnsns.2005.05.008 | |
dc.identifier.endpage | 744 | |
dc.identifier.issn | 1007-5704 | |
dc.identifier.issue | 5 | |
dc.identifier.scopus | 2-s2.0-33845614472 | |
dc.identifier.scopusquality | Q1 | |
dc.identifier.startpage | 735 | |
dc.identifier.uri | https://hdl.handle.net/11729/245 | |
dc.identifier.uri | http://dx.doi.org/10.1016/j.cnsns.2005.05.008 | |
dc.identifier.volume | 12 | |
dc.identifier.wos | WOS:000208278200012 | |
dc.identifier.wosquality | Q1 | |
dc.indekslendigikaynak | Web of Science | en_US |
dc.indekslendigikaynak | Scopus | en_US |
dc.indekslendigikaynak | Science Citation Index Expanded (SCI-EXPANDED) | en_US |
dc.institutionauthor | Demiray, Hilmi | en_US |
dc.institutionauthorid | 0000-0001-8590-3396 | |
dc.language.iso | en | en_US |
dc.peerreviewed | Yes | en_US |
dc.publicationstatus | Published | en_US |
dc.publisher | Elsevier B.V. | en_US |
dc.relation.ispartof | Communications in Nonlinear Science and Numerical Simulation | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Solitary waves | en_US |
dc.subject | Elastic tubes | en_US |
dc.subject | Variable tubes | en_US |
dc.subject | Elasticity | en_US |
dc.subject | Perturbation techniques | en_US |
dc.subject | Strain | en_US |
dc.subject | Stresses | en_US |
dc.subject | Wave equations | en_US |
dc.subject | Arteries | en_US |
dc.subject | Fluid-filled tube | en_US |
dc.subject | Strain energy | en_US |
dc.subject | Blood vessels | en_US |
dc.title | Solitary waves in a fluid-filled thin elastic tube with variable cross-section | en_US |
dc.type | Article | en_US |
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