Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section
Yükleniyor...
Dosyalar
Tarih
2006-04
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
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
