Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid

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dc.authorid0000-0001-7909-8677
dc.authorid0000-0001-8590-3396
dc.contributor.authorAntar, Nalanen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-12T13:56:39Z
dc.date.available2015-01-12T13:56:39Z
dc.date.issued1999-11
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 (HD) was supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible viscous fluid. In order to include the geometrical and structural dispersion into analysis, the wall's inertial and sheer deformation are taken into account in determining the inner pressure-inner cross sectional area relation. Using the reductive perturbation technique, the propagation of weakly nonlinear waves, in the long-wave approximation, is shown to be governed by the Korteweg-de Vries-Burgers (KdVB) equation. Due to dependence of coefficients of the governing equation on the initial deformation, the material and viscosity parameters, the profile of the travelling wave solution to the KdVB equation changes with these parameters. These variations are calculated numerically for some elastic materials and the effects of initial deformation and the viscosity parameter on the propagation characteristics are discussed.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAntar, N. & Demiray, H. (1999). Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid. International Journal of Engineering Science, 37(14), 1859-1876. doi:10.1016/S0020-7225(98)00148-7en_US
dc.identifier.doi10.1016/S0020-7225(98)00148-7
dc.identifier.endpage1876
dc.identifier.issn0020-7225
dc.identifier.issue14
dc.identifier.scopus2-s2.0-0033327068
dc.identifier.scopusqualityQ1
dc.identifier.startpage1859
dc.identifier.urihttps://hdl.handle.net/11729/73
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(98)00148-7
dc.identifier.volume37
dc.identifier.wosWOS:000083029900006
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Engineering Scienceen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPropagationen_US
dc.subjectArteriesen_US
dc.subjectPressureen_US
dc.subjectEquationen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectApproximation theoryen_US
dc.subjectComputational methodsen_US
dc.subjectIncompressible flowen_US
dc.subjectNonlinear equationsen_US
dc.subjectShear deformationen_US
dc.subjectWall flowen_US
dc.subjectWave equationsen_US
dc.subjectWave transmissionen_US
dc.subjectKorteweg-de Vries-Burgers equationsen_US
dc.subjectPrestressed thin elastic tubesen_US
dc.subjectWeakly nonlinear wavesen_US
dc.subjectViscous flowen_US
dc.titleWeakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluiden_US
dc.typeArticleen_US
dspace.entity.typePublication

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