Modulation of non-linear axial and transverse waves in a fluid-filled thin elastic tube

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dc.authorid0000-0001-8590-3396
dc.contributor.authorAkgün, Güleren_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:58:55Z
dc.date.available2015-01-15T22:58:55Z
dc.date.issued2000-07
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionIn carrying out this work one of the authors (H.D.) was supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, utilizing the non-linear equations of a pre-stressed thin elastic tube filled with an incompressible inviscid fluid the propagation of weakly non-linear waves in such a medium is studied. Considering that the arteries are initially subjected to a large static transmural pressure P-0 and an axial stretch lambda(z) and, in the course of blood flow, a finite time-dependent displacement is added to this initial field, the non-linear equations governing the motion of the tube in the radial and axial directions are obtained. Utilizing the reductive perturbation technique the amplitude modulation of weakly non-linear but strongly dispersive waves is examined. The localized travelling wave solution to the evolution equation is given and the stability condition is discussed.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAkgün, G. & Demiray, H. (2000). Modulation of non-linear axial and transverse waves in a fluid-filled thin elastic tube. International Journal of Non-Linear Mechanics, 35(4), 597-611. doi:10.1016/S0020-7462(99)00044-Xen_US
dc.identifier.doi10.1016/S0020-7462(99)00044-X
dc.identifier.endpage611
dc.identifier.issn0020-7462
dc.identifier.issn1878-5638
dc.identifier.issue4
dc.identifier.scopus2-s2.0-0034225443
dc.identifier.scopusqualityQ1
dc.identifier.startpage597
dc.identifier.urihttps://hdl.handle.net/11729/85
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7462(99)00044-X
dc.identifier.volume35
dc.identifier.wosWOS:000086070700004
dc.identifier.wosqualityQ2
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.publisherPergamon-Elsevier Scienceen_US
dc.relation.ispartofInternational Journal of Non-Linear Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectPropagationen_US
dc.subjectArteriesen_US
dc.subjectPressureen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectAmplitude modulationen_US
dc.subjectPerturbation techniquesen_US
dc.subjectVectorsen_US
dc.subjectWavesen_US
dc.subjectFluid filled thin elastic tubeen_US
dc.subjectTransmural pressureen_US
dc.subjectTransverse wavesen_US
dc.subjectNonlinear equationsen_US
dc.titleModulation of non-linear axial and transverse waves in a fluid-filled thin elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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