Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section
Yükleniyor...
Dosyalar
Tarih
2005-03
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Gauthier-Villars/Editions Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the arteries as a thin walled prestressed viscoelastic tube with variable cross-section, and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in such a fluid-filled viscoelastic tube by employing the reductive perturbation method. By considering the blood as an incompressible viscous fluid, depending on the order of various physical entities, various evolution equations with variable coefficients are obtained and progressive wave solutions to these evolution equations are given whenever possible. It is shown that this type of equations admit solitary wave type of solutions with variable wave speeds.
Açıklama
This work was supported by the Turkish Academy of Sciences (TÜBA)
Anahtar Kelimeler
Elastic tube, Solitary waves, Inviscid fluid, Equation, Pressure, Arteries, Flow, Korteweg-de Vries equation, Solitons, Water waves, Approximation theory, Asymptotic stability, Deformation, Kinematics, Nonlinear equations, Perturbation techniques, Viscoelasticity, Viscous flow, Nonlinear waves, Viscous fluids, Non Newtonian liquids
Kaynak
European Journal of Mechanics, A/Solids
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
24
Sayı
2
Künye
Demiray, H. (2005). Weakly nonlinear waves in a viscous fluid contained in a viscoelastic tube with variable cross-section. European Journal of Mechanics / A Solids, 24(2), 337-347. doi:10.1016/j.euromechsol.2004.12.002
