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dc.contributor.authorAntar, Nalantr_TR
dc.contributor.authorDemiray, Hilmitr_TR
dc.date.accessioned2015-01-12T13:56:39Z
dc.date.available2015-01-12T13:56:39Z
dc.date.issued11-1999
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.issn0020-7225
dc.identifier.otherWOS:000083029900006
dc.identifier.urihttp://hdl.handle.net/11729/73
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(98)00148-7
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.language.isoenen_US
dc.publisherPergamon-Elsevier Science LTDen_US
dc.relation.isversionof10.1016/S0020-7225(98)00148-7
dc.sourceInternational Journal of Engineering Scienceen_US
dc.subjectPropagationen_US
dc.subjectArteriesen_US
dc.subjectPressureen_US
dc.subjectEquationen_US
dc.titleWeakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluiden_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.contributor.authorIDTR5963
dc.contributor.authorIDTR200414
dc.identifier.volume37
dc.identifier.issue14
dc.identifier.startpage1859
dc.identifier.endpage1876
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US


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