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  • 1- Fakülteler | Faculties
  • Fen Edebiyat Fakültesi / Faculty of Arts and Sciences
  • Matematik Bölümü / Department of Mathematics
  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics
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Solitary waves in elastic tubes filled with a layered fluid

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Date

2001-04

Author

Demiray, Hilmi

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Citation

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

Abstract

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.

Source

International Journal of Engineering Science

Volume

39

Issue

6

URI

https://hdl.handle.net/11729/99
http://dx.doi.org/10.1016/S0020-7225(00)00069-0

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [916]
  • WoS İndeksli Makale Koleksiyonu [931]



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