The boundary layer approximation and nonlinear waves in elastic tubes

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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.accessioned2015-01-15T22:58:54Z
dc.date.available2015-01-15T22:58:54Z
dc.date.issued2000-09
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, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and approximate equations of an incompressible viscous fluid, the propagation of weakly nonlinear waves is examined. In order to include the geometrical and structural dispersion into analysis, the wall's inertial and shear 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, are shown to be governed by the Korteweg-de Vries (KdV) and the Korteweg-de Vries-Burgers (KdVB), depending on the balance between the nonlinearity, dispersion and/or dissipation. In the case of small viscosity (or large Reynolds number), the behaviour of viscous fluid is quite close to that ideal fluid and viscous effects are confined to a very thin layer near the boundary. In this case, using the boundary layer approximation we obtain the viscous-Korteweg-de Vries and viscous-Burgers equations.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationAntar, N. & Demiray, H. (2000). The boundary layer approximation and nonlinear waves in elastic tubes. International Journal of Engineering Science, 38(13), 1441-1457. doi:10.1016/S0020-7225(99)00120-2en_US
dc.identifier.doi10.1016/S0020-7225(99)00120-2
dc.identifier.endpage1457
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.issue13
dc.identifier.scopus2-s2.0-0033705221
dc.identifier.scopusqualityQ1
dc.identifier.startpage1441
dc.identifier.urihttps://hdl.handle.net/11729/81
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(99)00120-2
dc.identifier.volume38
dc.identifier.wosWOS:000087731900003
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 Scienceen_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.subjectNonlinear wavesen_US
dc.subjectBoundary layeren_US
dc.subjectSolitary wavesen_US
dc.subjectPropagationen_US
dc.subjectArteriesen_US
dc.subjectPressureen_US
dc.subjectEquationen_US
dc.subjectApproximation theoryen_US
dc.subjectElasticityen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectReynolds numberen_US
dc.subjectShear deformationen_US
dc.subjectViscosityen_US
dc.subjectWave transmissionen_US
dc.subjectElastic tubesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectKorteweg-de Vries-Burgers equationen_US
dc.subjectTubes (components)en_US
dc.titleThe boundary layer approximation and nonlinear waves in elastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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