Solitary waves in fluid-filled elastic tubes: weakly dispersive case
Yükleniyor...
Dosyalar
Tarih
2001-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in such a medium is studied through the use of the modified multiple expansion method. It is shown that the evolution of the lowest order (first-order) term in the perturbation expansion may be described by the Korteweg-de Vries (KdV) equation. The governing equation for the second-order terms and the localized travelling wave solution for these equations are also obtained. The applicability of the present model to flow problems in arteries is discussed.
Açıklama
This work was partially supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Elastic tubes, Inviscid fluid, Ion-acoustic-waves, Propagation, Pressure, Elasticity, Mathematical models, Nonlinear equations, Perturbation techniques, Pipe flow, Tubes (components), Modified multiple expansion method, Incompressible flow, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
39
Sayı
4
Künye
Demiray, H. (2001). Solitary waves in fluid-filled elastic tubes: Weakly dispersive case. International Journal of Engineering Science, 39(4), 439-451. doi:10.1016/S0020-7225(00)00048-3