Vibration Problems ICOVP 2005 pp 143-150 | Cite as

# NONLINEAR WAVES IN FLUID-FILLED ELASTIC TUBES: A MODEL TO LARGE ARTERIES

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## **Abstract**

In the present work, by treating the arteries as a prestressed thin walled elastic tube of variable radius, and the blood as an incompressible inviscid fluid, we have studied the propagation of weakly nonlinear waves in such a medium through the use of long wave approximation and the reductive perturbation method. The KdV equation with variable coefficient is obtained as the evolution equation. By seeking a progressive wave type of solution to this equation, we observed that the wave speed decreases with increasing inner radius while it increases with decreasing inner radius of the tube. Such a result is to be expected from physical considerations.

## Keywords

Solitary Wave Nonlinear Wave Wave Speed Solitary Wave Solution Physical Consideration## Preview

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