Numerical study of shear-dependent non-Newtonian fluids in compliant vessels

The aim of this contribution is to present recent results on numerical modelling of non- Newtonian flow in compliant stenosed vessels with application in hemodynamics. We consider two models of 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. The global iterative approach to approximate the fluid structure interaction is used. Finally, we present numerical experiments for some non-Newtonian models, comparisons with the Newtonian model and the results for hemodynamic wall parameters such as the wall shear stress and the oscillatory shear index.