The effect of a bump on wave propagation in a fluid-filled elastic tube

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:08Z
dc.date.available2015-01-15T23:00:08Z
dc.date.issued2004-01
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 prestressed elastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible viscous fluid the evolution equation is obtained as the perturbed Korteweg-de Vries equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed gets smaller and smaller as we go away from the center of the bump. The wave speed reaches to its maximum value at the center of the bump.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2004). The effect of a bump on wave propagation in a fluid-filled elastic tube. International Journal of Engineering Science, 42(2), 203-215. doi:10.1016/S0020-7225(03)00284-2en_US
dc.identifier.doi10.1016/S0020-7225(03)00284-2
dc.identifier.endpage215
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.issue2
dc.identifier.scopus2-s2.0-0141927316
dc.identifier.scopusqualityQ1
dc.identifier.startpage203
dc.identifier.urihttps://hdl.handle.net/11729/161
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(03)00284-2
dc.identifier.volume42
dc.identifier.wosWOS:000186480200006
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 Science Ltd.en_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.subjectShock wavesen_US
dc.subjectPressureen_US
dc.subjectArteriesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectElasticityen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPrestressingen_US
dc.subjectViscosityen_US
dc.subjectWave propagationen_US
dc.subjectFluid-filled elastic tubesen_US
dc.subjectTubes (components)en_US
dc.titleThe effect of a bump on wave propagation in a fluid-filled elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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