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  • 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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Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid

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Date

2005-07

Author

Bakırtaş, İlkay
Demiray, Hilmi

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Citation

Bakırtaş, I. & Demiray, H. (2005). Weakly non-linear waves in a tapered elastic tube filled with an inviscid fluid. International Journal of Non-Linear Mechanics, 40(6), 785-793. doi:10.1016/j.ijnonlinmec.2004.03.003

Abstract

In the present work, treating the artery as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly non-linear waves in such a fluid-filled elastic tube by employing the reductive perturbation method. By considering the blood as an incompressible inviscid fluid, the evolution equation is obtained as the Korteweg-de Vries equation with a variable coefficient. It is shown that this type of equation admits a solitary wave-type solution with variable wave speed. It is observed that, the wave speed decreases with distance for positive tapering while it increases for negative tapering. It is further observed that, the progressive wave profile for expanding tubes (a > 0) becomes more steepened whereas for narrowing tubes (a < 0) it becomes more flattened.

Source

International Journal of Non-Linear Mechanics

Volume

40

Issue

0020-7462
6

URI

https://hdl.handle.net/11729/175
http://dx.doi.org/10.1016/j.ijnonlinmec.2004.03.003

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [217]
  • Scopus İndeksli Makale Koleksiyonu [915]
  • WoS İndeksli Makale Koleksiyonu [929]



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