Modulation of nonlinear waves in a thin elastic tube filled with a viscous fluid
Yükleniyor...
Dosyalar
Tarih
1999-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, utilizing the nonlinear equations of a prestressed thin elastic tube filled with an incompressible viscous fluid the propagation of weakly nonlinear 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 nonlinear equations governing the motion of the tube in the radial direction is obtained. Utilizing the reductive perturbation technique the amplitude modulation of weakly nonlinear and dissipative but strongly dispersive waves is examined. The localized travelling wave solution to the evolution equation is given and the stability condition is discussed.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Propagation, Arteries, Pressure, Equation, Korteweg-de Vries equation, Solitons, Water waves, Incompressible flow, Modulation, Nonlinear equations, Wave equations, Wave transmission, Prestressed thin elastic tubes, Weakly nonlinear waves, Viscous flow
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
37
Sayı
14
Künye
Demiray, H. (1999). Modulation of nonlinear waves in a thin elastic tube filled with a viscous fluid. International Journal of Engineering Science, 37(14), 1877-1891. doi:10.1016/S0020-7225(98)00149-9
