Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch
Yükleniyor...
Dosyalar
Tarih
2008-11
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, by utilizing the non-linear equations of motion of an incompressible, isotropic thin elastic tube subjected to a variable prestretch 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 studied the propagation of weakly non-linear waves in such a medium, in the long wave approximation. Employing the reductive perturbation method we obtained the variable coefficient KdV equation as the evolution equation. By seeking a travelling wave solution to this evolution equation, we observed 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.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Pressure waves, Solitary waves, Arteries, Variable initial stretches, Elastic tubes, Variable coefficient KdV equation, Differential equations, Equations of motion, Incompressible flow, Mechanics, Open channel flow, Tubes (components), Wave equations, Evolution equations, Fluid-filled, Inviscid fluids, K dV equations, Long-wave approximation, Non-linear, Non-linear waves, Radial directions, Reductive perturbation method, Thin elastic tube, Travelling wave solutions, Variable co-efficient, Wave speeds, Linear equations
Kaynak
International Journal of Non-linear Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
43
Sayı
9
Künye
Demiray, H. (2008). Weakly non-linear waves in a fluid-filled elastic tube with variable prestretch. International Journal of Non-Linear Mechanics, 43(9), 887-891. doi:10.1016/j.ijnonlinmec.2008.06.001
