Solitary waves in a tapered prestressed fluid-filled elastic tube
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KünyeDemiray, H. (2004). Solitary waves in a tapered prestressed fluid-filled elastic tube. Zeitschrift Für Angewandte Mathematik Und Physik, 55(2), 282-294. doi:10.1007/s00033-003-2014-y
In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied 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 admit a solitary wave type of solution with variable wave speed. It is observed that, the wave speed increases with distance for positive tapering while it decreases for negative tapering.