Modulation of non-linear waves in a viscous fluid contained in an elastic tube

Yükleniyor...
Küçük Resim

Tarih

2001-06

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, 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
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