Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:20Z
dc.date.available2015-01-15T23:00:20Z
dc.date.issued2005-03
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 arteries as a thin walled prestressed viscoelastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled viscoelastic tube by employing the reductive perturbation method. By considering the blood as an incompressible viscous fluid, depending on the order of various physical entities, various evolution equations with variable coefficients are obtained and progressive wave solutions to these evolution equations are given whenever possible. It is shown that this type of equations admit solitary wave type of solutions with variable wave speeds.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2005). Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section. European Journal of Mechanics / A Solids, 24(2), 337-347. doi:10.1016/j.euromechsol.2004.12.002en_US
dc.identifier.doi10.1016/j.euromechsol.2004.12.002
dc.identifier.endpage347
dc.identifier.issn0997-7538
dc.identifier.issue2
dc.identifier.scopus2-s2.0-16344369748
dc.identifier.scopusqualityQ1
dc.identifier.startpage337
dc.identifier.urihttps://hdl.handle.net/11729/186
dc.identifier.urihttp://dx.doi.org/10.1016/j.euromechsol.2004.12.002
dc.identifier.volume24
dc.identifier.wosWOS:000228930800014
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.publisherGauthier-Villars/Editions Elsevieren_US
dc.relation.ispartofEuropean Journal of Mechanics, A/Solidsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElastic tubeen_US
dc.subjectSolitary wavesen_US
dc.subjectInviscid fluiden_US
dc.subjectEquationen_US
dc.subjectPressureen_US
dc.subjectArteriesen_US
dc.subjectFlowen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectApproximation theoryen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectDeformationen_US
dc.subjectKinematicsen_US
dc.subjectNonlinear equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectViscoelasticityen_US
dc.subjectViscous flowen_US
dc.subjectNonlinear wavesen_US
dc.subjectViscous fluidsen_US
dc.subjectNon Newtonian liquidsen_US
dc.titleWeakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-sectionen_US
dc.typeArticleen_US
dspace.entity.typePublication

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