Modulation of non-linear axial and transverse waves in a fluid-filled thin elastic tube
Yükleniyor...
Dosyalar
Tarih
2000-07
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, utilizing the non-linear equations of a pre-stressed thin elastic tube filled with an incompressible inviscid fluid the propagation of weakly non-linear waves in such a medium is studied. Considering that the arteries are initially subjected to a large static transmural pressure P-0 and an axial stretch lambda(z) and, in the course of blood flow, a finite time-dependent displacement is added to this initial field, the non-linear equations governing the motion of the tube in the radial and axial directions are obtained. Utilizing the reductive perturbation technique the amplitude modulation of weakly non-linear but strongly dispersive waves is examined. The localized travelling wave solution to the evolution equation is given and the stability condition is discussed.
Açıklama
In carrying out this work one of the authors (H.D.) was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Propagation, Arteries, Pressure, Korteweg-de Vries equation, Solitons, Water waves, Amplitude modulation, Perturbation techniques, Vectors, Waves, Fluid filled thin elastic tube, Transmural pressure, Transverse waves, Nonlinear equations
Kaynak
International Journal of Non-Linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
35
Sayı
4
Künye
Akgün, G. & Demiray, H. (2000). Modulation of non-linear axial and transverse waves in a fluid-filled thin elastic tube. International Journal of Non-Linear Mechanics, 35(4), 597-611. doi:10.1016/S0020-7462(99)00044-X
