Modulation of non-linear waves in a viscous fluid contained in an elastic tube
Yükleniyor...
Dosyalar
Tarih
2001-06
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 prestressed thin elastic tube filled with an incompressible viscous 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 how, a finite-time-dependent displacement is added to this initial field, the non-linear equations governing the motion of the tube in the radial direction is obtained. Utilizing the reductive perturbation technique the amplitude modulation of weakly non-linear and dissipative but strongly dispersive waves is examined and the dissipative non-linear Schrodinger equation is obtained. Finally, the numerical solution of the evolution equation under the given initial condition is given and the stability condition of the solution is discussed.
Açıklama
Anahtar Kelimeler
Nonlinear waves, Viscous fluids, Elastic tubes, Inviscid fluid, Solitary waves, Propagation, Arteries, Pressure, Equation
Kaynak
International Journal of Non-Linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
36
Sayı
4
Künye
Demiray, H. (2001). Modulation of non-linear waves in a viscous fluid contained in an elastic tube. International Journal of Non-Linear Mechanics, 36(4), 649-661. doi:10.1016/S0020-7462(00)00029-9
