Weakly nonlinear waves in elastic tubes filled with a layered fluid

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Tarih

2002

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Yayıncı

Freund Publishing House

Erişim Hakkı

info:eu-repo/semantics/closedAccess

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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
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