Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid

Basit Öğe Kaydı
dc.authorid0000-0003-4640-0248
dc.authorid0000-0001-8590-3396
dc.contributor.authorBakırtaş, İlkayen_US
dc.contributor.authorDemiray, Hilmien_US
dc.date.accessioned2015-01-15T23:00:19Z
dc.date.available2015-01-15T23:00:19Z
dc.date.issued2005-07
dc.departmentIşık Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.departmentIşık University, Faculty of Arts and Sciences, Department of Mathematicsen_US
dc.descriptionIn carrying out this research one of the authors (H.D.) was supported by the Turkish Academy of Sciences.en_US
dc.description.abstractIn the present work, treating the artery as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly non-linear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equation admits a solitary wave-type solution with variable wave speed. It is observed that, the wave speed decreases with distance for positive tapering while it increases for negative tapering. It is further observed that, the progressive wave profile for expanding tubes (a > 0) becomes more steepened whereas for narrowing tubes (a < 0) it becomes more flattened.en_US
dc.description.sponsorshipTürkiye Bilimler Akademisien_US
dc.description.versionPublisher's Versionen_US
dc.identifier.citationBakırtaş, I. & Demiray, H. (2005). Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid. International Journal of Non-Linear Mechanics, 40(6), 785-793. doi:10.1016/j.ijnonlinmec.2004.03.003en_US
dc.identifier.doi10.1016/j.ijnonlinmec.2004.03.003
dc.identifier.endpage793
dc.identifier.issn1878-5638
dc.identifier.issue0020-7462
dc.identifier.issue6
dc.identifier.scopus2-s2.0-15344345841
dc.identifier.scopusqualityN/A
dc.identifier.startpage785
dc.identifier.urihttps://hdl.handle.net/11729/175
dc.identifier.urihttp://dx.doi.org/10.1016/j.ijnonlinmec.2004.03.003
dc.identifier.volume40
dc.identifier.wosWOS:000228600000001
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.subjectPressure wavesen_US
dc.subjectSolitary wavesen_US
dc.subjectShock wavesen_US
dc.subjectArteriesen_US
dc.subjectPropagationen_US
dc.subjectEquationen_US
dc.subjectApproximation theoryen_US
dc.subjectElasticityen_US
dc.subjectKinematicsen_US
dc.subjectPerturbation techniquesen_US
dc.subjectPrestressed materialsen_US
dc.subjectWave propagationen_US
dc.subjectKorteweg-de Vries equationen_US
dc.subjectTapered elastic tubesen_US
dc.subjectVariable KdV equationen_US
dc.subjectTubes (components)en_US
dc.titleWeakly non-linear waves in a tapered elastic tube filled with an inviscid fluiden_US
dc.typeArticleen_US
dspace.entity.typePublication

Dosyalar

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

Koleksiyon

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