Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid
Yükleniyor...
Dosyalar
Tarih
1999-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible viscous fluid. In order to include the geometrical and structural dispersion into analysis, the wall's inertial and sheer deformation are taken into account in determining the inner pressure-inner cross sectional area relation. Using the reductive perturbation technique, the propagation of weakly nonlinear waves, in the long-wave approximation, is shown to be governed by the Korteweg-de Vries-Burgers (KdVB) equation. Due to dependence of coefficients of the governing equation on the initial deformation, the material and viscosity parameters, the profile of the travelling wave solution to the KdVB equation changes with these parameters. These variations are calculated numerically for some elastic materials and the effects of initial deformation and the viscosity parameter on the propagation characteristics are discussed.
Açıklama
In carrying out this work one of the authors (HD) was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Propagation, Arteries, Pressure, Equation, Korteweg-de Vries equation, Solitons, Water waves, Approximation theory, Computational methods, Incompressible flow, Nonlinear equations, Shear deformation, Wall flow, Wave equations, Wave transmission, Korteweg-de Vries-Burgers equations, Prestressed thin elastic tubes, Weakly nonlinear waves, Viscous flow
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
37
Sayı
14
Künye
Antar, N. & Demiray, H. (1999). Weakly nonlinear waves in a prestressed thin elastic tube containing a viscous fluid. International Journal of Engineering Science, 37(14), 1859-1876. doi:10.1016/S0020-7225(98)00148-7
