Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
Yükleniyor...
Dosyalar
Tarih
2009-08-30
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long wave approximation, through the use of extended PLK perturbation method, and the evolution equations are shown to be the Korteweg-deVries-Burgers equation. The results show that, Up to O(is an element of(3/2)), the head-on-collision of two nonlinear progressive waves is elastic and the nonlinear progressive waves preserve their original properties after the collision. The phase functions for each wave are derived explicitly and it is shown that they are not straight lines anymore, they are rather some curves.
Açıklama
This work was partially supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Pressure Waves, Equation, Burgers equations, Differential equations, Elastic tubes, Evolution equations, Head-on collision, Incompressible viscous fluids, Korteweg-de Vries equation, Long-wave approximation, Nonlinear equations, Nonlinear progressive wave, Nonlinear waves, Perturbation method, Perturbation techniques, Phase functions, Pre-stressed, Straight lines, Solitons, Thin-walled, Variable viscosity, Viscosity, Water waves, Wave equations, Waves, Partial differential equations, Thin walled structures
Kaynak
Chaos, Solitons and Fractals
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
41
Sayı
4
Künye
Demiray, H. (2009). Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube. Chaos, Solitons and Fractals, 41(4), 1578-1586. doi:10.1016/j.chaos.2008.06.022
