Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes
Yükleniyor...
Dosyalar
Tarih
1999-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, we studied the propagation of small-but-finite-amplitude waves in a prestressed thick walled viscoelastic tube filled with an incompressible inviscid fluid. In order to include the dispersion, the wall's inertial and shear effects are taken into account in determining the inner pressure-inner cross-sectional area relation. Using the reductive perturbation method, the propagation of weakly nonlinear waves in the long-wave approximation is investigated. After obtaining the general evolution equation in the long-wave approximation, by a proper scaling, it is shown that this general equation reduces to the well-known evolution equations such as the Burgers, Korteweg-de Vries (KdV), Koteweg-de Vries-Burgers (KdVB) and the generalized Burgers' equations. By proper re-scaling of the perturbation parameter, the modified form of the evolution equations is also obtained. The variations of the travelling wave profile with initial deformation and the viscosity coefficients are numerically evaluated and the results are illustrated in some figures.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Viscoelastic tubes, Arteries, Blood flow, Elastic tube, Arteries, Pressure, Hemodynamics, Weakly nonlinear waves, Koteweg-de Vries-Burgers (KdVB) equations, Fluid-filled thick viscoelastic tubes, Viscous flow, Viscoelasticity, Incompressible flow, Approximation theory, Non-linear dynamics
Kaynak
Applied Mathematical Modelling
WoS Q Değeri
Q1
Scopus Q Değeri
Q3
Cilt
23
Sayı
10
Künye
Demiray, H. (1999). Propagation of weakly nonlinear waves in fluid-filled thick viscoelastic tubes. Applied Mathematical Modelling, 23(10), 779-798. doi:10.1016/S0307-904X(99)00012-8
