Propagation of weakly nonlinear waves in fluid-filled thin elastic tubes

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T22:59:43Z
dc.date.available2015-01-15T22:59:43Z
dc.date.issued2002-11-25
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 the present work, we study the propagation of nonlinear waves in a prestressed thin elastic tube filled with an incompressible inviscid fluid. Considering the physiological conditions under which the arteries function, in the analysis the tube is assumed to be subjected to a uniform inner pressure P-0 and the axial stretch ratio lambda(z). In the course of blood flow, a dynamical displacement field is superimposed on this static deformation. Treating the blood as an incompressible inviscid fluid, the nonlinear equations of motion of both the tube and the fluid are obtained. Employing the reductive perturbation method, the propagation of weakly nonlinear waves in the longwave approximation is investigated and the Korteweg-de Vries equations are obtained as the governing equation. It is observed that the present formulation gives two solitary waves associated with dilatational and shear motions of the tube. The results are also discussed for some elastic materials existing in the current literature.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2002). Propagation of weakly nonlinear waves in fluid-filled thin elastic tubes. Applied Mathematics and Computation, 133(1), 29-41. doi:10.1016/S0096-3003(01)00223-5en_US
dc.identifier.doi10.1016/S0096-3003(01)00223-5
dc.identifier.endpage41
dc.identifier.issn0096-3003
dc.identifier.issn1873-5649
dc.identifier.issue1
dc.identifier.scopus2-s2.0-0037175418
dc.identifier.scopusqualityQ1
dc.identifier.startpage29
dc.identifier.urihttps://hdl.handle.net/11729/106
dc.identifier.urihttp://dx.doi.org/10.1016/S0096-3003(01)00223-5
dc.identifier.volume133
dc.identifier.wosWOS:000178022400002
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.publisherElsevier Scienceen_US
dc.relation.ispartofApplied Mathematics and Computationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElastic tubesen_US
dc.subjectNonlinear wavesen_US
dc.subjectSolitonen_US
dc.subjectSolitary wavesen_US
dc.subjectArteriesen_US
dc.subjectPressureen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectBlooden_US
dc.subjectEquations of motionen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPressure effectsen_US
dc.subjectPulsatile flowen_US
dc.subjectNonlinear equationsen_US
dc.titlePropagation of weakly nonlinear waves in fluid-filled thin elastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

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