Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:06Z
dc.date.available2015-01-15T23:01:06Z
dc.date.issued2008-05
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.abstractIn 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.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, 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.2007.12.001en_US
dc.identifier.doi10.1016/j.ijnonlinmec.2007.12.001
dc.identifier.endpage245
dc.identifier.issn0020-7462
dc.identifier.issue4
dc.identifier.scopus2-s2.0-41649112377
dc.identifier.scopusqualityQ1
dc.identifier.startpage241
dc.identifier.urihttps://hdl.handle.net/11729/294
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijnonlinmec.2007.12.001
dc.identifier.volume43
dc.identifier.wosWOS:000255813200002
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 Scıence Ltden_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.subjectApproximation theoryen_US
dc.subjectElastic modulien_US
dc.subjectElastic tubesen_US
dc.subjectElastic wavesen_US
dc.subjectInhomogeneous elastic tubesen_US
dc.subjectInviscid fluiden_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectPressureen_US
dc.subjectPropagationen_US
dc.subjectSolitary wavesen_US
dc.subjectSolitonsen_US
dc.subjectTubes (components)en_US
dc.subjectVariable coefficient KdV equationen_US
dc.subjectVariable coefficientsen_US
dc.subjectWater wavesen_US
dc.titleNon-linear waves in a fluid-filled inhomogeneous elastic tube with variable radiusen_US
dc.typeArticleen_US
dspace.entity.typePublication

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