Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube

Hilmi Demiray

Chaos, Solitons & Fractals, 2008, vol. 36, issue 2, 196-202

Abstract: In this work, treating the artery as a prestressed thin elastic tube and the blood as an incompressible Newtonian fluid with variable viscosity which vanishes on the boundary of the tube, the propagation of nonlinear waves in such a fluid-filled elastic tube is studied, in the longwave approximation, through the use of reductive perturbation method and the evolution equation is obtained as the Korteweg-deVries–Burgers equation. A progressive wave type of solution is presented for this evolution equation and the result is discussed.

Date: 2008
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:2:p:196-202

DOI: 10.1016/j.chaos.2006.06.020

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