In this work, treating the artery as a prestressed thin elastic tube with variable radius and the blood as an incompressible Newtonian fluid with variable viscosity, the propagation of nonlinear waves in such a composite medium is studied, in the long wave approximation, through the use of the reductive perturbation method and the Forced Korteweg-de Vries-Burgers (FKdVB) equation with variable coefficients is obtained as the evolution equation. A progressive wave type of solution is presented for this evolution equation and the result is discussed.
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Demiray*, H., Gaik, T.K. (2008). Travelling Waves In A Prestressed Elastic Tube Filled With A Fluid Of Variable Viscosity. In: İnan, E., Sengupta, D., Banerjee, M., Mukhopadhyay, B., Demiray, H. (eds) Vibration Problems ICOVP-2007. Springer Proceedings in Physics, vol 126. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-9100-1_11
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