Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:59Z
dc.date.available2015-01-15T22:59:59Z
dc.date.issued2003-08
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, treating the arteries as a thin-walled, linearly tapered, prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible viscous fluid, the evolution equation is obtained as the dissipative nonlinear Schrodinger equation with variable coefficient. It is shown that this type of evolution equations admit a solitary wave type of solution with variable wave speeds and amplitude. It is observed that, the speed of enveloping wave increases with the scaled time parameter tau for negative tapering angle while it decreases for positive tapering. On the other hand, the speed of harmonic wave increases for positive tapering whereas it decreases for negative tapering.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2003). Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube. European Journal of Mechanics / A Solids, 22(4), 603-615. doi:10.1016/S0997-7538(03)00063-9en_US
dc.identifier.doi10.1016/S0997-7538(03)00063-9
dc.identifier.endpage615
dc.identifier.issn0997-7538
dc.identifier.issue4
dc.identifier.scopus2-s2.0-2942575040
dc.identifier.scopusqualityQ1
dc.identifier.startpage603
dc.identifier.urihttps://hdl.handle.net/11729/130
dc.identifier.urihttp://dx.doi.org/10.1016/S0997-7538(03)00063-9
dc.identifier.volume22
dc.identifier.wosWOS:000185389400009
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.publisherGauthier-Villars/Editions Elsevieren_US
dc.relation.ispartofEuropean Journal of Mechanics - A/Solidsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectLinearly tapered tubeen_US
dc.subjectNonlinear modulationen_US
dc.subjectSolitary wavesen_US
dc.subjectViscous-fluiden_US
dc.subjectShock wavesen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectArteriesen_US
dc.subjectElasticityen_US
dc.subjectFunctionsen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear systemsen_US
dc.subjectOscillationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPipe flowen_US
dc.subjectVectorsen_US
dc.subjectViscoelasticityen_US
dc.subjectNonlinear effectsen_US
dc.subjectFluid mechanicsen_US
dc.titleNonlinear wave modulation in a fluid-filled linearly tapered elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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