Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube

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Küçük Resim

Tarih

2008-04

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In this work, treating the artery as a prestressed thin elastic tube and the blood as an incompressible Newtonian fluid with variable viscosity which vanishes on the boundary of the tube, the propagation of nonlinear waves in such a fluid-filled elastic tube is studied, in the longwave approximation, through the use of reductive perturbation method and the evolution equation is obtained as the Korteweg-deVries-Burgers equation. A progressive wave type of solution is presented for this evolution equation and the result is discussed.

Açıklama

This work was supported by the Turkish Academy of Sciences.

Anahtar Kelimeler

Kdv-burgers equation, Solitary waves, Pressure, Approximation theory, Newtonian flow, Nonlinear analysis, Numerical methods, Viscosity, Waves, Evolution equation, Nonlinear waves, Progressive wave, Fluids

Kaynak

Chaos, Solitons and Fractals

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

36

Sayı

2

Künye

Demiray, H. (2008). Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube. Chaos, Solitons and Fractals, 36(2), 196-202. doi:10.1016/j.chaos.2006.06.020