Numerical modelling of shear‐thinning non‐Newtonian flow in compliant vessels

Abstract We present recent results on numerical modelling of non‐Newtonian flow in two‐dimensional compliant vessels with application in hemodynamics. Two models of the shear‐thinning non‐Newtonian fluids are considered and compared 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 hemodynamic wall parameters: the wall shear stress and the oscillatory stress index. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)