Solitary waves in a fluid-filled thin elastic tube with variable cross-section
Yükleniyor...
Dosyalar
Tarih
2007-08
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier B.V.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The present work treats the arteries as a thin walled prestressed elastic tube with variable cross-section and uses the longwave approximation to study 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, for soft biological tissues with an exponential strain energy function the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Elastic tubes, Variable tubes, Elasticity, Perturbation techniques, Strain, Stresses, Wave equations, Arteries, Fluid-filled tube, Strain energy, Blood vessels
Kaynak
Communications in Nonlinear Science and Numerical Simulation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
12
Sayı
5
Künye
Demiray, H. (2007). Solitary waves in a fluid-filled thin elastic tube with variable cross-section. Communications in Nonlinear Science and Numerical Simulation, 12(5), 735-744. doi:10.1016/j.cnsns.2005.05.008
