Forced KdV equation in a fluid-filled elastic tube with variable initial stretches
Yükleniyor...
Dosyalar
Tarih
2009-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, by utilizing the nonlinear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable initial stretches both in the axial and the radial directions and the approximate equations of motion of an incompressible inviscid fluid, which is assumed to be a model for blood, we have studied the propagation of nonlinear waves in such a medium under the assumption of long wave approximation. Employing the reductive perturbation method we obtained the variable coefficient forced KdV equation as the evolution equation. By use of proper transformations for the dependent field and independent coordinate variables, we have shown that this evolution equation reduces to the conventional KdV equation, which admits the progressive wave solution. The numerical results reveal that the wave speed is variable in the axial coordinate and it decreases for increasing circumferential stretch (or radius). Such a result seems to be plausible from physical considerations. We further observed that, the wave amplitude gets smaller and smaller with increasing time parameter along the tube axis.
Açıklama
This work was supported by the Turkish Academy of Sciences
Anahtar Kelimeler
Pressure waves, Solitary waves, Arteries, Approximate equation, Axial coordinates, Computational mechanics, Coordinate variables, Elastic tubes, Equations of motion, Evolution equations, Fluid-filled, Forced KdV equation, Incompressible inviscid fluids, KdV equations, Long-wave approximation, Nonlinear equations, Nonlinear waves, Numerical results, Open channel flow, Perturbation techniques, Progressive wave solutions, Radial direction, Reductive perturbation methods, Solitons, Thin elastic tube, Time parameter, Variable coefficients, Variable initial stretches, Water waves, Wave amplitudes, Wave equations, Wave speed, Korteweg-de Vries equation
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
42
Sayı
3
Künye
Demiray, H. (2009). Forced KdV equation in a fluid-filled elastic tube with variable initial stretches. Chaos, Solitons and Fractals, 42(3), 1388-1395. doi:10.1016/j.chaos.2009.03.067
