Numerical modelling of shear-thinning non-Newtonian flows in compliant vessels

The aim of this paper is to present recent results on numerical modelling of non-Newtonian flow in two-dimensional compliant vessels with application in hemodynamics. We consider two models of the shear-thinning non-Newtonian fluids and compare them with the Newtonian model. For the structure problem, the generalized string equation for radial symmetric tubes is used and extended to a stenosed vessel. A global iterative approach is used to approximate the fluid-structure interaction. At the end we present numerical experiments for selected non-Newtonian models, comparisons with the Newtonian model and the hemodynarnic wall parameters: the wall shear stress and the oscillatory stress index. Copyright (c) 2008 John Wiley & Sons, Ltd.