The effect of a bump on wave propagation in a fluid-filled elastic tube
Yükleniyor...
Dosyalar
Tarih
2004-01
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the arteries as a thin walled prestressed elastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible viscous fluid the evolution equation is obtained as the perturbed Korteweg-de Vries equation with variable coefficients. It is shown that this type of equations admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed gets smaller and smaller as we go away from the center of the bump. The wave speed reaches to its maximum value at the center of the bump.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Shock waves, Pressure, Arteries, Korteweg-de Vries equation, Solitons, Water waves, Elasticity, Perturbation techniques, Prestressing, Viscosity, Wave propagation, Fluid-filled elastic tubes, Tubes (components)
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
42
Sayı
2
Künye
Demiray, H. (2004). The effect of a bump on wave propagation in a fluid-filled elastic tube. International Journal of Engineering Science, 42(2), 203-215. doi:10.1016/S0020-7225(03)00284-2
