Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:09Z
dc.date.available2015-01-15T23:00:09Z
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.description.abstractIn the present work, treating the arteries as a tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave 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 inviscid fluid the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equations admits a solitary wave type of solution with variable wave speed. It is observed that the wave speed increases with the scaled time parameter tau for positive tapering while it decreases for negative tapering, as expected.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2004). Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid. Mathematical and Computer Modelling, 39(2-3), 151-162. doi:10.1016/S0895-7177(04)90004-0en_US
dc.identifier.doi10.1016/S0895-7177(04)90004-0
dc.identifier.endpage162
dc.identifier.issn0895-7177
dc.identifier.issn1872-9479
dc.identifier.issue2-3
dc.identifier.scopus2-s2.0-1342331014
dc.identifier.scopusqualityN/A
dc.identifier.startpage151
dc.identifier.urihttps://hdl.handle.net/11729/163
dc.identifier.urihttp://dx.doi.org/10.1016/S0895-7177(04)90004-0
dc.identifier.volume39
dc.identifier.wosWOS:000189387300005
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.ispartofMathematical and Computer Modellingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTapered tubesen_US
dc.subjectVariable KdV equationen_US
dc.subjectNonlinear wavesen_US
dc.subjectPropagationen_US
dc.subjectPressureen_US
dc.subjectSolitary wavesen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.titleWeakly nonlinear waves in a linearly tapered elastic tube filled with a fluiden_US
dc.typeArticleen_US
dspace.entity.typePublication

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