Modulation of nonlinear waves in a viscous fluid contained in a tapered elastic tube
Yükleniyor...
Dosyalar
Tarih
2002-10
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
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
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
