Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section
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KünyeDemiray, H. (2006). Non-linear waves in a viscous fluid contained in an elastic tube with variable cross-section. International Journal of Non-Linear Mechanics, 41(2), 258-270. doi:10.1016/j.ijnonlinmec.2005.05.011
In the present work, treating the large arteries as a thin-walled, long and circularly cylindrical, prestressed elastic tube with variable cross-section and using the reductive perturbation method, we have studied the amplitude modulation of non-linear waves in such a fluid-filled elastic tube. By considering the blood as an incompressible viscous fluid, the evolution equation is obtained as the dissipative non-linear Schrodinger equation with variable coefficients. It is shown that this type of equations admit a solitary wave solution with a variable wave speed. It is observed that, the wave speed increases with distance for narrowing tubes while it decreases for expanding tubes.