Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid
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 tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave 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 inviscid fluid the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equations admits a solitary wave type of solution with variable wave speed. It is observed that the wave speed increases with the scaled time parameter tau for positive tapering while it decreases for negative tapering, as expected.
Açıklama
Anahtar Kelimeler
Tapered tubes, Variable KdV equation, Nonlinear waves, Propagation, Pressure, Solitary waves, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
Mathematical and Computer Modelling
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
39
Sayı
2-3
Künye
Demiray, H. (2004). Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid. Mathematical and Computer Modelling, 39(2-3), 151-162. doi:10.1016/S0895-7177(04)90004-0