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

Ilkay Bakirtaş, Hilmi Demiray*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)785-793
Number of pages9
JournalInternational Journal of Non-Linear Mechanics
Issue number6
Publication statusPublished - Jul 2005


In carrying out this research one of the authors (H.D.) was supported by the Turkish Academy of Sciences.

FundersFunder number
Türkiye Bilimler Akademisi


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