Abstract
The paper is devoted to an analytical study of flow through blood vessels subjected to a periodic acceleration field. The analysis consists of two parts. In the first case, the wall is treated as a non-linear orthotropic elastic cylindrical membrane and the blood as a Newtonian viscous fluid, while in the second case the experimentally observed material damping properties of the wall tissues and the viscoelasticity of blood have been incorporated in the analysis. In each of these two cases, analytical expressions for the displacement and shear stresses developed in the wall as well as the velocity distribution, fluid acceleration and volume flow rate of blood are derived. The influence of material damping of the wall tissues as well as the viscoelastic properties of blood on the flow and deformation characteristic of a blood vessel has been estimated by using the values of the different material constants (involved in the analysis) determined experimentally for the human abdominal aorta. Numerical results presented in the paper correspond to observed parameters of the circulatory system of living animals.
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