Nonlinear waves in an elastic tube with variable prestretch filled with a fluid of variable viscosity

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:06Z
dc.date.available2015-01-15T23:01:06Z
dc.date.issued2008-10
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 employing the reductive perturbation method to the nonlinear equations of an incompressible, prestressed, homogeneous and isotropic thin elastic tube and to the exact equations of an incompressible Newtonian fluid of variable viscosity, we have studied weakly nonlinear waves in such a medium and obtained the variable coefficient Korteweg-deVries-Burgers (KdV-B) equation as the evolution equation. For this purpose, we treated the artery as an incompressible, homogeneous and isotropic elastic material subjected to variable stretches both in the axial and circumferential directions initially, and the blood as an incompressible Newtonian fluid whose viscosity changes with the radial coordinate. By seeking a travelling wave solution to this evolution equation, we observed that the wave front is not a plane anymore, it is rather a curved surface. This is the result of the variable radius of the tube. The numerical calculations indicate 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, like Bernoulli's law. We further observed that, the amplitude of the Burgers shock gets smaller and smaller with increasing time parameter along the tube axis. This is again due to the variable radius, but the effect of it is quite small.en_US
dc.description.sponsorshipThis work was supported by the Turkish Academy of Sciencesen_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2008). Nonlinear waves in an elastic tube with variable prestretch filled with a fluid of variable viscosity. International Journal of Engineering Science, 46(10), 949-957. doi:10.1016/j.ijengsci.2008.04.001en_US
dc.identifier.doi10.1016/j.ijengsci.2008.04.001
dc.identifier.endpage957
dc.identifier.issn0020-7225
dc.identifier.issue10
dc.identifier.scopus2-s2.0-51549088148
dc.identifier.scopusqualityQ1
dc.identifier.startpage949
dc.identifier.urihttps://hdl.handle.net/11729/286
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijengsci.2008.04.001
dc.identifier.volume46
dc.identifier.wosWOS:000260550400001
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.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofInternational Journal of Engineering Scienceen_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.subjectInviscid fluiden_US
dc.subjectArteriesen_US
dc.subjectEquationen_US
dc.subjectVariable initial stretchesen_US
dc.subjectElastic tubesen_US
dc.subjectVariable coefficient KdV-B equationen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectSolitonsen_US
dc.subjectWater wavesen_US
dc.subjectDifferential equationsen_US
dc.subjectFluid dynamicsen_US
dc.subjectFluid mechanicsen_US
dc.subjectHydrodynamicsen_US
dc.subjectLiquidsen_US
dc.subjectNewtonian liquidsen_US
dc.subjectNumerical analysisen_US
dc.subjectTubes (components)en_US
dc.subjectViscosityen_US
dc.subjectWavesen_US
dc.subjectEvolution equationsen_US
dc.subjectIncompressible Newtonian fluiden_US
dc.subjectNonlinear equationsen_US
dc.titleNonlinear waves in an elastic tube with variable prestretch filled with a fluid of variable viscosityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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