Solitary waves in a fluid-filled thin elastic tube with variable cross-section

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Küçük Resim

Tarih

2007-08

Dergi Başlığı

Dergi ISSN

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Yayıncı

Elsevier B.V.

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

The present work treats the arteries as a thin walled prestressed elastic tube with variable cross-section and uses the longwave approximation to study the propagation of weakly nonlinear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equations admits a solitary wave type of solution with variable wave speed. It is observed that, for soft biological tissues with an exponential strain energy function the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.

Açıklama

This work was supported by the Turkish Academy of Sciences.

Anahtar Kelimeler

Solitary waves, Elastic tubes, Variable tubes, Elasticity, Perturbation techniques, Strain, Stresses, Wave equations, Arteries, Fluid-filled tube, Strain energy, Blood vessels

Kaynak

Communications in Nonlinear Science and Numerical Simulation

WoS Q Değeri

Q1
Q1

Scopus Q Değeri

Q1

Cilt

12

Sayı

5

Künye

Demiray, H. (2007). Solitary waves in a fluid-filled thin elastic tube with variable cross-section. Communications in Nonlinear Science and Numerical Simulation, 12(5), 735-744. doi:10.1016/j.cnsns.2005.05.008