Nonlinear waves in fluid-filled elastic tubes: A model to large arteries
Yükleniyor...
Dosyalar
Tarih
2007
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by treating the arteries as a prestressed thin walled elastic tube of variable radius and the blood as an incompressible inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium through the use of long wave approximation and the reductive perturbation method. The KdV equation with variable coefficient is obtained as the evolution equation. By seeking a progressive wave type of solution to this equation, we observed that the wave speed decreases with increasing inner radius while it increases with decreasing inner radius of the tube. Such a result is to be expected from physical considerations.
Açıklama
Anahtar Kelimeler
Solitary waves, Variable coefficient KdV equation, Solitary waves
Kaynak
Vibration Problems ICOVP 2005
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
111
Sayı
Künye
Demiray, H. (2007). Nonlinear waves in fluid-filled elastic tubes: A model to large arteries. Paper presented at the Vibration Problems ICOVP 2005, 111, 143-150.
