Solitary waves in fluid-filled elastic tubes: weakly dispersive case

Yükleniyor...
Küçük Resim

Tarih

2001-03

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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