Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-12T13:56:40Z
dc.date.available2015-01-12T13:56:40Z
dc.date.issued1999-10
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, we studied the propagation of small-but-finite-amplitude waves in a prestressed thick walled viscoelastic tube filled with an incompressible inviscid fluid. In order to include the dispersion, the wall's inertial and shear effects are taken into account in determining the inner pressure-inner cross-sectional area relation. Using the reductive perturbation method, the propagation of weakly nonlinear waves in the long-wave approximation is investigated. After obtaining the general evolution equation in the long-wave approximation, by a proper scaling, it is shown that this general equation reduces to the well-known evolution equations such as the Burgers, Korteweg-de Vries (KdV), Koteweg-de Vries-Burgers (KdVB) and the generalized Burgers' equations. By proper re-scaling of the perturbation parameter, the modified form of the evolution equations is also obtained. The variations of the travelling wave profile with initial deformation and the viscosity coefficients are numerically evaluated and the results are illustrated in some figures.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (1999). Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes. Applied Mathematical Modelling, 23(10), 779-798. doi:10.1016/S0307-904X(99)00012-8en_US
dc.identifier.doi10.1016/S0307-904X(99)00012-8
dc.identifier.endpage798
dc.identifier.issn0307-904X
dc.identifier.issue10
dc.identifier.scopus2-s2.0-0032718052
dc.identifier.scopusqualityQ3
dc.identifier.startpage779
dc.identifier.urihttps://hdl.handle.net/11729/75
dc.identifier.urihttp://dx.doi.org/10.1016/S0307-904X(99)00012-8
dc.identifier.volume23
dc.identifier.wosWOS:000082186000003
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.publisherElsevier Science Inc.en_US
dc.relation.ispartofApplied Mathematical Modellingen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectSolitary wavesen_US
dc.subjectViscoelastic tubesen_US
dc.subjectArteriesen_US
dc.subjectBlood flowen_US
dc.subjectElastic tubeen_US
dc.subjectArteriesen_US
dc.subjectPressureen_US
dc.subjectHemodynamicsen_US
dc.subjectWeakly nonlinear wavesen_US
dc.subjectKoteweg-de Vries-Burgers (KdVB) equationsen_US
dc.subjectFluid-filled thick viscoelastic tubesen_US
dc.subjectViscous flowen_US
dc.subjectViscoelasticityen_US
dc.subjectIncompressible flowen_US
dc.subjectApproximation theoryen_US
dc.subjectNon-linear dynamicsen_US
dc.titlePropagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubesen_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
75.pdf
Boyut:
274.13 KB
Biçim:
Adobe Portable Document Format
Açıklama:
Publisher's Version
İndir

Koleksiyon

Makale Koleksiyonu | Matematik Bölümü
Scopus İndeksli Yayınlar Koleksiyonu
WoS İndeksli Yayınlar Koleksiyonu

We collect and process your personal information for the following purposes: Authentication, Preferences, Acknowledgement and Statistics.
To learn more, please read our privacy policy.

Customize