Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section

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Tarih

2006-04

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In the present work, treating the large arteries as a thin-walled, long and circularly cylindrical, prestressed elastic tube with variable cross-section and using the reductive perturbation method, we have studied the amplitude modulation of non-linear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible viscous fluid, the evolution equation is obtained as the dissipative non-linear Schrodinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave solution with a variable wave speed. It is observed that, the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.

Açıklama

This work was supported by the Turkish Academy of Sciences (TÜBA)

Anahtar Kelimeler

Tubes variable cross-section, Non-linear modulation, Solitary waves, Shock waves, Modulation, Propagation, Pressure, Arteries, Amplitude modulation, Blood, Cylinders (shapes), Incompressible flow, Tubes (components), Viscosity of liquids, Wave solution, Fluid dynamics, Korteweg-de Vries equation, Solitons, Water waves

Kaynak

International Journal of Non-Linear Mechanics

WoS Q Değeri

Q2
Q2

Scopus Q Değeri

Q1

Cilt

41

Sayı

2

Künye

Demiray, H. (2006). Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section. International Journal of Non-Linear Mechanics, 41(2), 258-270. doi:10.1016/j.ijnonlinmec.2005.05.011