Nonlinear waves in a prestressed elastic tube filled with a layered fluid
Yükleniyor...
Dosyalar
Tarih
2002-04
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical core is considered to be viscous. Using the reductive perturbation technique,, the propagation of weakly nonlinear waves in the longwave approximation is studied. The governing equation is shown to be the Korteweg-de Vries-Burgers' (KdV-B) equation. A travelling wave type of solution to this evolution equation is sought and it is observed that the formation of shock wave becomes evident with increasing core radius parameter.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Solitary waves, Elastic tubes, Viscous-fluid, Propagation, Arteries, Pressure, Layered fluid, Korteweg-de Vries equation, Solitons, Water waves, Approximation theory, Elasticity, Perturbation techniques, Prestressed materials, Viscous flow, Nonlinear waves, Shock waves
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
40
Sayı
7
Künye
Demiray, H. (2002). Nonlinear waves in a prestressed elastic tube filled with a layered fluid. International Journal of Engineering Science, 40(7), 713-726. doi:10.1016/S0020-7225(01)00100-8
