## Özet

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.

Orijinal dil | İngilizce |
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Sayfa (başlangıç-bitiş) | 785-793 |

Sayfa sayısı | 9 |

Dergi | International Journal of Non-Linear Mechanics |

Hacim | 40 |

Basın numarası | 6 |

DOI'lar | |

Yayın durumu | Yayınlandı - Tem 2005 |

### Finansman

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

Finansörler | Finansör numarası |
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Türkiye Bilimler Akademisi |