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dc.contributor.authorDemiray, Hilmi
dc.date.accessioned2019-06-28T11:11:40Z
dc.date.available2019-06-28T11:11:40Z
dc.date.issued2006
dc.identifier.issn9320784
dc.identifier.urihttps://hdl.handle.net/20.500.12469/1662
dc.identifier.urihttps://dx.doi.org/10.1515/zna-2006-1205
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.
dc.language.isoEnglish
dc.publisherVerlag der Zeitschrift fur Naturforschung
dc.subjectElastic tubes
dc.subjectProgressive waves
dc.subjectStenosed tubes
dc.titleThe effects of higher-order approximations in a fluid-filled elastic tube with stenosis
dc.typeArticle
dc.identifier.startpage641
dc.identifier.endpage651
dc.relation.journalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
dc.identifier.issue12
dc.identifier.volume61
dc.identifier.doi10.1515/zna-2006-1205
dc.contributor.khasauthorDemiray, Hilmi


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