Nonlinear waves in fluid-filled elastic tubes: A model to large arteries

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-07-14T23:48:12Z
dc.date.available2015-07-14T23:48:12Z
dc.date.issued2007
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, by treating the arteries as a prestressed thin walled elastic tube of variable radius and the blood as an incompressible inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium through the use of long wave approximation and the reductive perturbation method. The KdV equation with variable coefficient is obtained as the evolution equation. By seeking a progressive wave type of solution to this equation, we observed that the wave speed decreases with increasing inner radius while it increases with decreasing inner radius of the tube. Such a result is to be expected from physical considerations.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2007). Nonlinear waves in fluid-filled elastic tubes: A model to large arteries. Paper presented at the Vibration Problems ICOVP 2005, 111, 143-150.en_US
dc.identifier.endpage150
dc.identifier.isbn9781402054006
dc.identifier.issn0930-8989
dc.identifier.startpage143
dc.identifier.urihttps://hdl.handle.net/11729/648
dc.identifier.volume111
dc.identifier.wosWOS:000246655700022
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakConference Proceedings Citation Index – Science (CPCI-S)en_US
dc.institutionauthorDemiray, Hilmien_US
dc.institutionauthorid0000-0001-8590-3396
dc.language.isoenen_US
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.publisherSpringeren_US
dc.relation.ispartofVibration Problems ICOVP 2005en_US
dc.relation.ispartofseriesSpringer Proceedings In Physicsen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectVariable coefficient KdV equationen_US
dc.subjectSolitary wavesen_US
dc.titleNonlinear waves in fluid-filled elastic tubes: A model to large arteriesen_US
dc.typeConference Objecten_US
dspace.entity.typePublication

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