Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:06Z
dc.date.available2015-01-15T23:01:06Z
dc.date.issued2008-04
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 this work, treating the artery as a prestressed thin elastic tube and the blood as an incompressible Newtonian fluid with variable viscosity which vanishes on the boundary of the tube, the propagation of nonlinear waves in such a fluid-filled elastic tube is studied, in the longwave approximation, through the use of reductive perturbation method and the evolution equation is obtained as the Korteweg-deVries-Burgers equation. A progressive wave type of solution is presented for this evolution equation and the result is discussed.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2008). Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube. Chaos, Solitons and Fractals, 36(2), 196-202. doi:10.1016/j.chaos.2006.06.020en_US
dc.identifier.doi10.1016/j.chaos.2006.06.020
dc.identifier.endpage202
dc.identifier.issn0960-0779
dc.identifier.issn1873-2887
dc.identifier.issue2
dc.identifier.scopus2-s2.0-35348911796
dc.identifier.scopusqualityQ1
dc.identifier.startpage196
dc.identifier.urihttps://hdl.handle.net/11729/295
dc.identifier.urihttp://dx.doi.org/10.1016/j.chaos.2006.06.020
dc.identifier.volume36
dc.identifier.wosWOS:000252504100002
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 Ltden_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectKdv-burgers equationen_US
dc.subjectSolitary wavesen_US
dc.subjectPressureen_US
dc.subjectApproximation theoryen_US
dc.subjectNewtonian flowen_US
dc.subjectNonlinear analysisen_US
dc.subjectNumerical methodsen_US
dc.subjectViscosityen_US
dc.subjectWavesen_US
dc.subjectEvolution equationen_US
dc.subjectNonlinear wavesen_US
dc.subjectProgressive waveen_US
dc.subjectFluidsen_US
dc.titleWeakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

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