Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube

Basit Öğe Kaydı
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.issued2009-08-30
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 partially supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long wave approximation, through the use of extended PLK perturbation method, and the evolution equations are shown to be the Korteweg-deVries-Burgers equation. The results show that, Up to O(is an element of(3/2)), the head-on-collision of two nonlinear progressive waves is elastic and the nonlinear progressive waves preserve their original properties after the collision. The phase functions for each wave are derived explicitly and it is shown that they are not straight lines anymore, they are rather some curves.en_US
dc.description.sponsorshipTurkish Academy of Sciencesen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationDemiray, H. (2009). Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube. Chaos, Solitons and Fractals, 41(4), 1578-1586. doi:10.1016/j.chaos.2008.06.022en_US
dc.identifier.doi10.1016/j.chaos.2008.06.022
dc.identifier.endpage1586
dc.identifier.issn0960-0779
dc.identifier.issue4
dc.identifier.scopus2-s2.0-67349285084
dc.identifier.scopusqualityQ1
dc.identifier.startpage1578
dc.identifier.urihttps://hdl.handle.net/11729/321
dc.identifier.urihttp://dx.doi.org/10.1016/j.chaos.2008.06.022
dc.identifier.volume41
dc.identifier.wosWOS:000268060100004
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.subjectEquationen_US
dc.subjectBurgers equationsen_US
dc.subjectDifferential equationsen_US
dc.subjectElastic tubesen_US
dc.subjectEvolution equationsen_US
dc.subjectHead-on collisionen_US
dc.subjectIncompressible viscous fluidsen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectLong-wave approximationen_US
dc.subjectNonlinear equationsen_US
dc.subjectNonlinear progressive waveen_US
dc.subjectNonlinear wavesen_US
dc.subjectPerturbation methoden_US
dc.subjectPerturbation techniquesen_US
dc.subjectPhase functionsen_US
dc.subjectPre-stresseden_US
dc.subjectStraight linesen_US
dc.subjectSolitonsen_US
dc.subjectThin-walleden_US
dc.subjectVariable viscosityen_US
dc.subjectViscosityen_US
dc.subjectWater wavesen_US
dc.subjectWave equationsen_US
dc.subjectWavesen_US
dc.subjectPartial differential equationsen_US
dc.subjectThin walled structuresen_US
dc.titleHead-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tubeen_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

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

Koleksiyon

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