Modulation of nonlinear waves in a thin elastic tube filled with a viscous fluid

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Küçük Resim

Tarih

1999-11

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

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
Q1

Scopus Q Değeri

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