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

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  • Demiray, Hilmi

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.

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  • Demiray, Hilmi, 2008. "Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube," Chaos, Solitons & Fractals, Elsevier, vol. 36(2), pages 196-202.
    • Handle: RePEc:eee:chsofr:v:36:y:2008:i:2:p:196-202
    DOI: 10.1016/j.chaos.2006.06.020
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    Cited by:

    1. Demiray, Hilmi, 2009. "Forced KdV equation in a fluid-filled elastic tube with variable initial stretches," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1388-1395.
    2. Demiray, Hilmi, 2009. "Variable coefficient modified KdV equation in fluid-filled elastic tubes with stenosis: Solitary waves," Chaos, Solitons & Fractals, Elsevier, vol. 42(1), pages 358-364.
    3. Demiray, Hilmi, 2009. "Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube," Chaos, Solitons & Fractals, Elsevier, vol. 41(4), pages 1578-1586.

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