Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:35Z
dc.date.available2015-01-15T23:00:35Z
dc.date.issued2006-04
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 (TÜBA)en_US
dc.description.abstractIn the present work, treating the large arteries as a thin-walled, long and circularly cylindrical, prestressed elastic tube with variable cross-section and using the reductive perturbation method, we have studied the amplitude modulation of non-linear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible viscous fluid, the evolution equation is obtained as the dissipative non-linear Schrodinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave solution with a variable wave speed. It is observed that, the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2006). Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section. International Journal of Non-Linear Mechanics, 41(2), 258-270. doi:10.1016/j.ijnonlinmec.2005.05.011en_US
dc.identifier.doi10.1016/j.ijnonlinmec.2005.05.011
dc.identifier.endpage270
dc.identifier.issn0020-7462
dc.identifier.issn1878-5638
dc.identifier.issue2
dc.identifier.scopus2-s2.0-30344443402
dc.identifier.scopusqualityQ1
dc.identifier.startpage258
dc.identifier.urihttps://hdl.handle.net/11729/229
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijnonlinmec.2005.05.011
dc.identifier.volume41
dc.identifier.wosWOS:000235848600009
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.publisherElsevier Ltden_US
dc.relation.ispartofInternational Journal of Non-Linear Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTubes variable cross-sectionen_US
dc.subjectNon-linear modulationen_US
dc.subjectSolitary wavesen_US
dc.subjectShock wavesen_US
dc.subjectModulationen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectArteriesen_US
dc.subjectAmplitude modulationen_US
dc.subjectBlooden_US
dc.subjectCylinders (shapes)en_US
dc.subjectIncompressible flowen_US
dc.subjectTubes (components)en_US
dc.subjectViscosity of liquidsen_US
dc.subjectWave solutionen_US
dc.subjectFluid dynamicsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleNon-linear waves in a viscous fluid contained in an elastic tube with variable cross-sectionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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