Localized travelling waves in a prestressed thick elastic tube
Yükleniyor...
Dosyalar
Tarih
2001-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by using the exact non-linear equations of an incompressible inviscid fluid contained in a prestressed thick elastic tube, the propagation of localized travelling wave solution in such a medium is investigated. Employing the hyperbolic tangent method and considering the long-wave limit, we showed that the lowest-order term in the perturbation expansion gives a solitary wave equivalent to the localized travelling wave solution of the Korteweg-de Vries equation. The progressive wave type of solution is also sought for the second-order terms in the perturbation expansion. The correction terms in the speed of propagation are obtained as part of the solution of perturbation equations.
Açıklama
This work was partially supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Elastic tubes, Dressed solitary waves, Arterial wall, Deformation, Elasticity, Incompressible flow, Mathematical models, Nonlinear equations, Perturbation techniques, Prestressed materials, Hyperbolic tangent method, Tubes (components)
Kaynak
International Journal of Non-Linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
36
Sayı
7
Künye
Demiray, H. (2001). Localized travelling waves in a prestressed thick elastic tube. International Journal of Non-Linear Mechanics, 36(7), 1085-1095. doi:10.1016/S0020-7462(00)00073-1
