Solitary waves in a fluid-filled thin elastic tube with variable cross-section

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:49Z
dc.date.available2015-01-15T23:00:49Z
dc.date.issued2007-08
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionThis work was supported by the Turkish Academy of Sciences.en_US
dc.description.abstractThe 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.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, 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.2005.05.008en_US
dc.identifier.doi10.1016/j.cnsns.2005.05.008
dc.identifier.endpage744
dc.identifier.issn1007-5704
dc.identifier.issue5
dc.identifier.scopus2-s2.0-33845614472
dc.identifier.scopusqualityQ1
dc.identifier.startpage735
dc.identifier.urihttps://hdl.handle.net/11729/245
dc.identifier.urihttp://dx.doi.org/10.1016/j.cnsns.2005.05.008
dc.identifier.volume12
dc.identifier.wosWOS:000208278200012
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherElsevier B.V.en_US
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectElastic tubesen_US
dc.subjectVariable tubesen_US
dc.subjectElasticityen_US
dc.subjectPerturbation techniquesen_US
dc.subjectStrainen_US
dc.subjectStressesen_US
dc.subjectWave equationsen_US
dc.subjectArteriesen_US
dc.subjectFluid-filled tubeen_US
dc.subjectStrain energyen_US
dc.subjectBlood vesselsen_US
dc.titleSolitary waves in a fluid-filled thin elastic tube with variable cross-sectionen_US
dc.typeArticleen_US

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