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dc.contributor.authorAntar, Nalantr_TR
dc.contributor.authorDemiray, Hilmitr_TR
dc.date.accessioned2015-01-15T22:58:54Z
dc.date.available2015-01-15T22:58:54Z
dc.date.issued2000-09
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.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.otherWOS:000087731900003
dc.identifier.urihttp://hdl.handle.net/11729/81
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(99)00120-2
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.language.isoenen_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.isversionof10.1016/S0020-7225(99)00120-2
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.sourceInternational Journal of Engineering Scienceen_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.titleThe boundary layer approximation and nonlinear waves in elastic tubesen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.contributor.departmentIsik University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümütr_TR
dc.contributor.authorIDTR200414
dc.contributor.authorIDTR5963
dc.identifier.volume38
dc.identifier.issue13
dc.identifier.startpage1441
dc.identifier.endpage1457
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US


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