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dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:21Z
dc.date.available2015-01-15T22:59:21Z
dc.date.issued2001-03
dc.identifier.citationDemiray, H. (2001). Solitary waves in fluid-filled elastic tubes: Weakly dispersive case. International Journal of Engineering Science, 39(4), 439-451. doi:10.1016/S0020-7225(00)00048-3en_US
dc.identifier.issn0020-7225
dc.identifier.issn1879-2197
dc.identifier.urihttps://hdl.handle.net/11729/101
dc.identifier.urihttp://dx.doi.org/10.1016/S0020-7225(00)00048-3
dc.descriptionThis work was partially supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in such a medium is studied through the use of the modified multiple expansion method. It is shown that the evolution of the lowest order (first-order) term in the perturbation expansion may be described by the Korteweg-de Vries (KdV) equation. The governing equation for the second-order terms and the localized travelling wave solution for these equations are also obtained. The applicability of the present model to flow problems in arteries is discussed.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.language.isoengen_US
dc.publisherPergamon-Elsevier Scienceen_US
dc.relation.isversionof10.1016/S0020-7225(00)00048-3
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectElastic tubesen_US
dc.subjectInviscid fluiden_US
dc.subjectIon-acoustic-wavesen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectElasticityen_US
dc.subjectMathematical modelsen_US
dc.subjectNonlinear equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPipe flowen_US
dc.subjectTubes (components)en_US
dc.subjectModified multiple expansion methoden_US
dc.subjectIncompressible flowen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleSolitary waves in fluid-filled elastic tubes: weakly dispersive caseen_US
dc.typearticleen_US
dc.description.versionPublisher's Versionen_US
dc.relation.journalInternational Journal of Engineering Scienceen_US
dc.contributor.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.contributor.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.contributor.authorID0000-0001-8590-3396
dc.identifier.volume39
dc.identifier.issue4
dc.identifier.startpage439
dc.identifier.endpage451
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.contributor.institutionauthorDemiray, Hilmien_US
dc.relation.indexWOSen_US
dc.relation.indexScopusen_US
dc.relation.indexScience Citation Index Expanded (SCI-EXPANDED)en_US
dc.description.qualityQ1
dc.description.wosidWOS:000166668400007


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