Forced KdV equation in a fluid-filled elastic tube with variable initial stretches

Basit Öğe Kaydı
dc.authorid0000-0001-8590-3396
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:01:17Z
dc.date.available2015-01-15T23:01:17Z
dc.date.issued2009-11
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 Sciencesen_US
dc.description.abstractIn this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches 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 have studied the propagation of nonlinear waves in such a medium under the assumption of long wave approximation. Employing the reductive perturbation method we obtained the variable coefficient forced KdV equation as the evolution equation. By use of proper transformations for the dependent field and independent coordinate variables, we have shown that this evolution equation reduces to the conventional KdV equation, which admits the progressive wave solution. The numerical results reveal 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. We further observed that, the wave amplitude gets smaller and smaller with increasing time parameter along the tube axis.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2009). Forced KdV equation in a fluid-filled elastic tube with variable initial stretches. Chaos, Solitons and Fractals, 42(3), 1388-1395. doi:10.1016/j.chaos.2009.03.067en_US
dc.identifier.doi10.1016/j.chaos.2009.03.067
dc.identifier.endpage1395
dc.identifier.issn0960-0779
dc.identifier.issue3
dc.identifier.scopus2-s2.0-67650642309
dc.identifier.scopusqualityQ1
dc.identifier.startpage1388
dc.identifier.urihttps://hdl.handle.net/11729/317
dc.identifier.urihttp://dx.doi.org/10.1016/j.chaos.2009.03.067
dc.identifier.volume42
dc.identifier.wosWOS:000268987400011
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.ispartofChaos, Solitons and Fractalsen_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.subjectApproximate equationen_US
dc.subjectAxial coordinatesen_US
dc.subjectComputational mechanicsen_US
dc.subjectCoordinate variablesen_US
dc.subjectElastic tubesen_US
dc.subjectEquations of motionen_US
dc.subjectEvolution equationsen_US
dc.subjectFluid-filleden_US
dc.subjectForced KdV equationen_US
dc.subjectIncompressible inviscid fluidsen_US
dc.subjectKdV equationsen_US
dc.subjectLong-wave approximationen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear wavesen_US
dc.subjectNumerical resultsen_US
dc.subjectOpen channel flowen_US
dc.subjectPerturbation techniquesen_US
dc.subjectProgressive wave solutionsen_US
dc.subjectRadial directionen_US
dc.subjectReductive perturbation methodsen_US
dc.subjectSolitonsen_US
dc.subjectThin elastic tubeen_US
dc.subjectTime parameteren_US
dc.subjectVariable coefficientsen_US
dc.subjectVariable initial stretchesen_US
dc.subjectWater wavesen_US
dc.subjectWave amplitudesen_US
dc.subjectWave equationsen_US
dc.subjectWave speeden_US
dc.subjectKorteweg-de Vries equation
dc.titleForced KdV equation in a fluid-filled elastic tube with variable initial stretchesen_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
317.pdf
Boyut:
338.63 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