Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube
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KünyeDemiray, H. (2008). Weakly nonlinear waves in a fluid with variable viscosity contained in a prestressed thin elastic tube. Chaos, Solitons and Fractals, 36(2), 196-202. doi:10.1016/j.chaos.2006.06.020
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.