Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation
Yükleniyor...
Dosyalar
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Science and Business Media, LLC
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present work, treating the artery as a prestressed thin-walled and long circularly cylindrical elastic tube with a mild symmetrical stenosis and the blood as an incompressible Newtonian fluid, we have studied the propagation of weakly nonlinear waves in such a composite medium, in the long wave approximation, by use of the reductive perturbation method. By introducing a set of stretched coordinates suitable for the boundary value type of problems and expanding the field variables into asymptotic series of the smallness parameter of nonlinearity and dispersion, we obtained a set of nonlinear differential equations governing the terms at various order. By solving these nonlinear differential equations, we obtained the forced perturbed Korteweg-de Vries equation with variable coefficient as the nonlinear evolution equation. By use of the coordinate transformation, it is shown that this type of nonlinear evolution equation admits a progressive wave solution with variable wave speed.
Açıklama
Anahtar Kelimeler
Control nonlinearities, Co-ordinate transformation, Differential equations, Elastic tubes, Incompressible Newtonian fluid, Korteweg-de Vries equation, Mathematical transformations, Newtonian liquids, Nonlinear differential equation, Nonlinear equations, Nonlinear evolution equation, Perturbation techniques, Perturbed korteweg-de vries equations, Pressure, Prestressed elastic tube, Progressive wave solutions, Reductive perturbation methods, Solitary waves, Solitons, Thin walled structures, Water waves
Kaynak
Springer Proceedings in Physics
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
126
Sayı
Künye
Gaik, T. K., Demiray, H. & Tiong, O. C. (2008). Nonlinear waves in a stenosed elastic tube filled with viscous fluid: Forced perturbed korteweg-de vries equation. Springer, 12(), 157-163. doi:10.1007/978-1-4020-9100-1_16
