Solitary waves in elastic tubes filled with a layered fluid
Yükleniyor...
Dosyalar
Tarih
2001-04
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 non-linear 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 non-linear waves in the long-wave approximation is studied. The governing equation is shown to be the perturbed Korteweg-de Vries (KdV) equation. A travelling wave type of solution for this evolution equation is sought and it is shown that the amplitude of the solitary wave for the perturbed KdV equation decays slowly with time.
Açıklama
This work was supported by the Turkish Academy of Sciences.
Anahtar Kelimeler
Propagation, Pressure, Arteries, Pulses, Korteweg-de Vries equation, Solitons, Water waves, Approximation theory, Incompressible flow, Viscous flow, Wave equations, Solitary waves, Tubes (components)
Kaynak
International Journal of Engineering Science
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
39
Sayı
6
Künye
Demiray, H. (2001). Solitary waves in elastic tubes filled with a layered fluid. International Journal of Engineering Science, 39(6), 629-639. doi:10.1016/S0020-7225(00)00069-0
