Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid

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Tarih

2004-01

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 the present work, treating the arteries as a tapered, thin-walled, long and circularly conical prestressed elastic tube and using the long-wave approximation, we have studied 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 the wave speed increases with the scaled time parameter tau for positive tapering while it decreases for negative tapering, as expected.

Açıklama

Anahtar Kelimeler

Tapered tubes, Variable KdV equation, Nonlinear waves, Propagation, Pressure, Solitary waves, Korteweg-de Vries equation, Solitons, Water waves

Kaynak

Mathematical and Computer Modelling

WoS Q Değeri

Q1

Scopus Q Değeri

N/A

Cilt

39

Sayı

2-3

Künye

Demiray, H. (2004). Weakly nonlinear waves in a linearly tapered elastic tube filled with a fluid. Mathematical and Computer Modelling, 39(2-3), 151-162. doi:10.1016/S0895-7177(04)90004-0