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Fluid friction and wall viscosity of the 1D blood flow model
Xiao-Fei Wang1, Shohei Nishi2, Mami Matsukawa2
1Sorbonne Universités, UPMC Univ Paris 6, UMR 7190, Institut Jean le Rond ∂׳Alembert, France; CNRS, UMR 7190, Institut Jean le Rond ∂׳Alembert, France.
Abstract:
We study the behavior of the pulse waves of water into a flexible tube for application to blood flow simulations. In pulse waves both fluid friction and wall viscosity are damping factors, and difficult to evaluate separately. In this paper, the coefficients of fluid friction and wall viscosity are estimated by fitting a nonlinear 1D flow model to experimental data. In the experimental setup, a distensible tube is connected to a piston pump at one end and closed at another end. The pressure and wall displacements are measured simultaneously. A good agreement between model predictions and experiments was achieved. For amplitude decrease, the effect of wall viscosity on the pulse wave has been shown as important as that of fluid viscosity.
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