Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:05Z
dc.date.available2015-01-15T23:01:05Z
dc.date.issued2008-11
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, by utilizing the non-linear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable prestretch both in the axial and the radial directions and the approximate equations of motion of an incompressible inviscid fluid, which is assumed to be a model for blood, we studied the propagation of weakly non-linear waves in such a medium, in the long wave approximation. Employing the reductive perturbation method we obtained the variable coefficient KdV equation as the evolution equation. By seeking a travelling wave solution to this evolution equation, we observed that the wave speed is variable in the axial coordinate and it decreases for increasing circumferential stretch (or radius). Such a result seems to be plausible from physical considerations.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2008). Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch. International Journal of Non-Linear Mechanics, 43(9), 887-891. doi:10.1016/j.ijnonlinmec.2008.06.001en_US
dc.identifier.doi10.1016/j.ijnonlinmec.2008.06.001
dc.identifier.endpage891
dc.identifier.issn0020-7462
dc.identifier.issue9
dc.identifier.scopus2-s2.0-53949106094
dc.identifier.scopusqualityQ1
dc.identifier.startpage887
dc.identifier.urihttps://hdl.handle.net/11729/282
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijnonlinmec.2008.06.001
dc.identifier.volume43
dc.identifier.wosWOS:000261304900010
dc.identifier.wosqualityQ2
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Non-linear Mechanicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPressure wavesen_US
dc.subjectSolitary wavesen_US
dc.subjectArteriesen_US
dc.subjectVariable initial stretchesen_US
dc.subjectElastic tubesen_US
dc.subjectVariable coefficient KdV equationen_US
dc.subjectDifferential equationsen_US
dc.subjectEquations of motionen_US
dc.subjectIncompressible flowen_US
dc.subjectMechanicsen_US
dc.subjectOpen channel flowen_US
dc.subjectTubes (components)en_US
dc.subjectWave equationsen_US
dc.subjectEvolution equationsen_US
dc.subjectFluid-filleden_US
dc.subjectInviscid fluidsen_US
dc.subjectK dV equationsen_US
dc.subjectLong-wave approximationen_US
dc.subjectNon-linearen_US
dc.subjectNon-linear wavesen_US
dc.subjectRadial directionsen_US
dc.subjectReductive perturbation methoden_US
dc.subjectThin elastic tubeen_US
dc.subjectTravelling wave solutionsen_US
dc.subjectVariable co-efficienten_US
dc.subjectWave speedsen_US
dc.subjectLinear equationsen_US
dc.titleWeakly non-linear waves in a fluid-filled elastic tube with variable prestretchen_US
dc.typeArticleen_US
dspace.entity.typePublication

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