Weakly nonlinear waves in elastic tubes filled with a layered fluid

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:45Z
dc.date.available2015-01-15T22:59:45Z
dc.date.issued2002
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractIn this work we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical core is considered to be viscous. Using the reductive perturbation technique, the propagation of weakly nonlinear waves in the longwave approximation is studied. The governing equation is shown to be the Korteweg-de Vries-Burgers' equation. A travelling wave type of solution for this evolution equation is sought and it is shown that with increasing core radius parameter the formation of strong shock wave becomes inevitable.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2002). Weakly nonlinear waves in elastic tubes filled with a layered fluid. International Journal of Nonlinear Sciences and Numerical Simulation, 3(2), 89-98. doi:10.1515/IJNSNS.2002.3.2.89en_US
dc.identifier.doi10.1515/IJNSNS.2002.3.2.89
dc.identifier.endpage98
dc.identifier.issn1565-1339
dc.identifier.issue2
dc.identifier.scopus2-s2.0-0036284553
dc.identifier.scopusqualityQ2
dc.identifier.startpage89
dc.identifier.urihttps://hdl.handle.net/11729/119
dc.identifier.urihttp://dx.doi.org/10.1515/IJNSNS.2002.3.2.89
dc.identifier.volume3
dc.identifier.wosWOS:000175924800002
dc.identifier.wosqualityQ2
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.publisherFreund Publishing Houseen_US
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectElastic tubesen_US
dc.subjectLayered fluiden_US
dc.subjectViscous-fluiden_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleWeakly nonlinear waves in elastic tubes filled with a layered fluiden_US
dc.typeArticleen_US
dspace.entity.typePublication

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