Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid
Yükleniyor...
Dosyalar
Tarih
2005-07
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 artery as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly non-linear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equation admits a solitary wave-type solution with variable wave speed. It is observed that, the wave speed decreases with distance for positive tapering while it increases for negative tapering. It is further observed that, the progressive wave profile for expanding tubes (a > 0) becomes more steepened whereas for narrowing tubes (a < 0) it becomes more flattened.
Açıklama
In carrying out this research one of the authors (H.D.) was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Pressure waves, Solitary waves, Shock waves, Arteries, Propagation, Equation, Approximation theory, Elasticity, Kinematics, Perturbation techniques, Prestressed materials, Wave propagation, Korteweg-de Vries equation, Tapered elastic tubes, Variable KdV equation, Tubes (components)
Kaynak
International Journal of Non-Linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
40
Sayı
0020-7462
6
6
Künye
Bakırtaş, I. & Demiray, H. (2005). Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid. International Journal of Non-Linear Mechanics, 40(6), 785-793. doi:10.1016/j.ijnonlinmec.2004.03.003
