Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube
Yükleniyor...
Dosyalar
Tarih
2003-08
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Gauthier-Villars/Editions Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the arteries as a thin-walled, linearly tapered, prestressed elastic tube and using the reductive perturbation method, we have studied the amplitude modulation of nonlinear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible viscous fluid, the evolution equation is obtained as the dissipative nonlinear Schrodinger equation with variable coefficient. It is shown that this type of evolution equations admit a solitary wave type of solution with variable wave speeds and amplitude. It is observed that, the speed of enveloping wave increases with the scaled time parameter tau for negative tapering angle while it decreases for positive tapering. On the other hand, the speed of harmonic wave increases for positive tapering whereas it decreases for negative tapering.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Linearly tapered tube, Nonlinear modulation, Solitary waves, Viscous-fluid, Shock waves, Propagation, Pressure, Arteries, Elasticity, Functions, Mathematical models, Nonlinear systems, Oscillations, Perturbation techniques, Pipe flow, Vectors, Viscoelasticity, Nonlinear effects, Fluid mechanics
Kaynak
European Journal of Mechanics - A/Solids
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
22
Sayı
4
Künye
Demiray, H. (2003). Nonlinear wave modulation in a fluid-filled linearly tapered elastic tube. European Journal of Mechanics / A Solids, 22(4), 603-615. doi:10.1016/S0997-7538(03)00063-9
