Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius
Yükleniyor...
Dosyalar
Tarih
2008-05
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Scıence Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by employing the non-linear equations of motion of an incompressible, inhomogeneous, isotropic and prestressed thin elastic tube with variable radius and the approximate equations of an inviscid fluid, which is assumed to be a model for blood, we studied the propagation of non-linear waves in such a medium, in the longwave approximation. Utilizing the reductive perturbation method we obtained the variable coefficient Korteweg-de Vries (KdV) equation as the evolution equation. By seeking a progressive wave type of solution to this evolution equation, we observed that the wave speed decreases for increasing radius and shear modulus, while it increases for decreasing inner radius and the shear modulus.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Approximation theory, Elastic moduli, Elastic tubes, Elastic waves, Inhomogeneous elastic tubes, Inviscid fluid, Korteweg-de Vries equation, Nonlinear equations, Nonlinear waves, Pressure, Propagation, Solitary waves, Solitons, Tubes (components), Variable coefficient KdV equation, Variable coefficients, Water waves
Kaynak
International Journal of Non-Linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
43
Sayı
4
Künye
Demiray, H. (2008). Non-linear waves in a fluid-filled inhomogeneous elastic tube with variable radius. International Journal of Non-Linear Mechanics, 43(4), 241-245. doi:10.1016/j.ijnonlinmec.2007.12.001