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Solitary waves in a fluid-filled thin elastic tube with variable cross-section

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Date

2007-08

Author

Demiray, Hilmi

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Citation

Demiray, H. (2007). Solitary waves in a fluid-filled thin elastic tube with variable cross-section. Communications in Nonlinear Science and Numerical Simulation, 12(5), 735-744. doi:10.1016/j.cnsns.2005.05.008

Abstract

The present work treats the arteries as a thin walled prestressed elastic tube with variable cross-section and uses the longwave approximation to study the propagation of weakly nonlinear 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 equations admits a solitary wave type of solution with variable wave speed. It is observed that, for soft biological tissues with an exponential strain energy function the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.

Volume

12

Issue

5

URI

https://hdl.handle.net/11729/245
http://dx.doi.org/10.1016/j.cnsns.2005.05.008

Collections

  • FEF - Makale Koleksiyonu | Matematik Bölümü / Department of Mathematics [184]
  • Makale Koleksiyonu [807]
  • Makale Koleksiyonu [708]



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