Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:44Z
dc.date.available2015-01-15T22:59:44Z
dc.date.issued2002-10
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 tapered, thin walled, long and circularly conical prestressed elastic tube and the blood as a Newtonian fluid, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube, by use of the reductive perturbation method. The governing evolution equation is obtained as the dissipative nonlinear Schrodinger equation with variable coefficients. It is shown that this type of equations admit solitary wave solutions with variable wave amplitude and speed. It is observed that, the wave speed increases with distance for tubes of descending radius while it decreases for tubes of ascending radius. The dissipative effects cause a decay in wave amplitude and wave speed.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2002). Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube. International Journal of Engineering Science, 40(17), 1897-1918. doi:10.1016/S0020-7225(02)00113-1en_US
dc.identifier.doi10.1016/S0020-7225(02)00113-1
dc.identifier.endpage1918
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.issue17
dc.identifier.scopus2-s2.0-0036783849
dc.identifier.scopusqualityQ1
dc.identifier.startpage1897
dc.identifier.urihttps://hdl.handle.net/11729/109
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(02)00113-1
dc.identifier.volume40
dc.identifier.wosWOS:000178787100001
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.subjectSolitary wavesen_US
dc.subjectTapered tubesen_US
dc.subjectWave modulationen_US
dc.subjectFilled tubesen_US
dc.subjectPropagationen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectElastic wavesen_US
dc.subjectNewtonian flowen_US
dc.subjectNonlinear equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPulsatile flowen_US
dc.subjectWave equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectViscous flowen_US
dc.titleModulation of nonlinear waves in a viscous fluid contained in a tapered elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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