Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube

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Tarih

2002-10

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science

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 the blood as a Newtonian fluid, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube, by use of the reductive perturbation method. The governing evolution equation is obtained as the dissipative nonlinear Schrodinger equation with variable coefficients. It is shown that this type of equations admit solitary wave solutions with variable wave amplitude and speed. It is observed that, the wave speed increases with distance for tubes of descending radius while it decreases for tubes of ascending radius. The dissipative effects cause a decay in wave amplitude and wave speed.

Açıklama

This work was supported by the Turkish Academy of Sciences.

Anahtar Kelimeler

Solitary waves, Tapered tubes, Wave modulation, Filled tubes, Propagation, Korteweg-de Vries equation, Solitons, Water waves, Elastic waves, Newtonian flow, Nonlinear equations, Perturbation techniques, Pulsatile flow, Wave equations, Nonlinear waves, Viscous flow

Kaynak

International Journal of Engineering Science

WoS Q Değeri

Q1
Q1

Scopus Q Değeri

Q1

Cilt

40

Sayı

17

Künye

Demiray, H. (2002). Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube. International Journal of Engineering Science, 40(17), 1897-1918. doi:10.1016/S0020-7225(02)00113-1