Weakly nonlinear waves in elastic tubes filled with a layered fluid
Yükleniyor...
Dosyalar
Tarih
2002
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Freund Publishing House
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' equation. A travelling wave type of solution for this evolution equation is sought and it is shown that with increasing core radius parameter the formation of strong shock wave becomes inevitable.
Açıklama
Anahtar Kelimeler
Solitary waves, Elastic tubes, Layered fluid, Viscous-fluid, Propagation, Pressure, Korteweg-de Vries equation, Solitons, Water waves
Kaynak
International Journal of Nonlinear Sciences and Numerical Simulation
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
3
Sayı
2
Künye
Demiray, H. (2002). Weakly nonlinear waves in elastic tubes filled with a layered fluid. International Journal of Nonlinear Sciences and Numerical Simulation, 3(2), 89-98. doi:10.1515/IJNSNS.2002.3.2.89
