Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity

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dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:18Z
dc.date.available2015-01-15T23:01:18Z
dc.date.issued2009-07
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.description.abstractBy treating the artery as a prestressed thin elastic tube and the blood as an incompressible heterogeneous fluid with variable viscosity. we studied the propagation of weakly non-linear waves in such a composite medium through the use of reductive perturbation method. By assuming a variable density and a variable viscosity for blood in the radial direction we obtained the perturbed Korteweg-deVries equation as the evolution equation when the viscosity is of order of epsilon(3/2). We observed that the perturbed character is the combined result of the viscosity and the heterogeneity of the blood. A progressive wave type of solution is presented for the evolution equation and the result is discussed. The numerical results indicate that for a certain value of the density parameter sigma, the wave equation loses its dispersive character and the evolution equation degenerates. It is further shown that, for the perturbed KdV equation both the amplitude and the wave speed decay in the time parameter tau.en_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2009). Waves in an elastic tube filled with a heterogeneous fluid of variable viscosity. International Journal of Non-Linear Mechanics, 44(6), 590-595. doi:10.1016/j.ijnonlinmec.2008.12.011en_US
dc.identifier.doi10.1016/j.ijnonlinmec.2008.12.011
dc.identifier.endpage595
dc.identifier.issn0020-7462
dc.identifier.issn1878-5638
dc.identifier.issue6
dc.identifier.scopus2-s2.0-67349107871
dc.identifier.scopusqualityQ1
dc.identifier.startpage590
dc.identifier.urihttps://hdl.handle.net/11729/328
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijnonlinmec.2008.12.011
dc.identifier.volume44
dc.identifier.wosWOS:000267307400002
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.subjectHeterogeneous fluiden_US
dc.subjectFluid-filled tubesen_US
dc.subjectPerturbed KdV equationen_US
dc.subjectSolitary wavesen_US
dc.subjectBurgers equationen_US
dc.subjectInviscid fluiden_US
dc.subjectDeformationen_US
dc.subjectPressureen_US
dc.subjectFluidsen_US
dc.subjectComposite mediumen_US
dc.subjectDensity parametersen_US
dc.subjectElastic tubesen_US
dc.subjectEvolution equationsen_US
dc.subjectHeterogeneous fluidsen_US
dc.subjectKdV equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectNumerical resultsen_US
dc.subjectPre-stresseden_US
dc.subjectProgressive wavesen_US
dc.subjectRadial directionen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectThin elastic tubeen_US
dc.subjectTime parameteren_US
dc.subjectVariable densityen_US
dc.subjectVariable viscosityen_US
dc.subjectWave speeden_US
dc.subjectBlooden_US
dc.subjectComputational mechanicsen_US
dc.subjectDifferential equationsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectTubes (components)en_US
dc.subjectViscosityen_US
dc.subjectWave equationsen_US
dc.titleWaves in an elastic tube filled with a heterogeneous fluid of variable viscosityen_US
dc.typeArticleen_US
dspace.entity.typePublication

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