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Mathematical modeling of local arterial flow and vessel mechanics. (English) Zbl 0809.76098

Crolet, J.-M. (ed.) et al., Computational methods for fluid-structure interaction. Proceedings of the “Journées numériques de Besançon 1992”, workshop held in Les Moussière, France, 24-25 September 1992. Harlow: Longman Scientific & Technical. Pitman Res. Notes Math. Ser. 306, 230-245 (1994).
The numerical solution of the equations for pulsatile flow in the human carotyd artery bifurcation when the walls are regarded as elastic is considered. The blood is modelled as a time-dependent three-dimensional incompressible Navier-Stokes fluid with variable viscosity. The motion of the wall is assumed to be purely radial. The numerical method employed makes use of a Galerkin finite element method with operator splitting. Attention is concentrated on the influence of distensibility on the flow velocity and wall shear stress, and it is shown that most effects decrease in value from results for a rigid wall. Extensive numerical results are presented in graphical form.
For the entire collection see [Zbl 0794.00034].
Reviewer: G.Eason (Glasgow)

MSC:

76Z05 Physiological flows
76D05 Navier-Stokes equations for incompressible viscous fluids
74F10 Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.)
92C35 Physiological flow
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