The effects of higher-order approximations in a fluid-filled elastic tube with stenosis

dc.contributor.authorDemiray, Hilmi
dc.date.accessioned2019-06-28T11:11:40Z
dc.date.available2019-06-28T11:11:40Z
dc.date.issued2006
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Bilgisayar Mühendisliği Bölümüen_US
dc.description.abstractTreating arteries as thin-walled prestressed elastic tubes with a narrowing (stenosis) and blood as an inviscid fluid we study the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method in the long wave approximation. It is shown that the evolution equation of the first-order term in the perturbation expansion may be described by the conventional Korteweg-de Vries (KdV) equation. The evolution equation for the second-order term is found to be the linearized KdV equation with a nonhomogeneous term which contains the contribution of the stenosis. A progressive wave type solution is sought for the evolution equation and it is observed that the wave speed is variable which results from the stenosis. We study the variation of the wave speed with the distance parameter ? for various amplitude values of the stenosis. It is observed that near the center of the stenosis the wave speed decreases with increasing stenosis amplitude. However sufficiently far from the center of the stenosis stenosis amplitude becomes negligibly small. © 2006 Verlag der Zeitschrift für Naturforschung.en_US]
dc.identifier.citation1
dc.identifier.doi10.1515/zna-2006-1205en_US
dc.identifier.endpage651
dc.identifier.issn0932-0784en_US
dc.identifier.issn0932-0784
dc.identifier.issue12
dc.identifier.scopus2-s2.0-33846374093en_US
dc.identifier.scopusqualityQ3
dc.identifier.startpage641en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12469/1662
dc.identifier.urihttps://doi.org/10.1515/zna-2006-1205
dc.identifier.volume61en_US
dc.identifier.wosWOS:000243784400005en_US
dc.identifier.wosqualityN/A
dc.institutionauthorDemiray, Hilmien_US
dc.language.isoenen_US
dc.publisherVerlag der Zeitschrift fur Naturforschungen_US
dc.relation.journalZeitschrift fur Naturforschung - Section A Journal of Physical Sciencesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectElastic tubesen_US
dc.subjectProgressive wavesen_US
dc.subjectStenosed tubesen_US
dc.titleThe effects of higher-order approximations in a fluid-filled elastic tube with stenosisen_US
dc.typeArticleen_US
dspace.entity.typePublication

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