Premium
Numerical modelling of shear‐thinning non‐Newtonian flow in compliant vessels
Author(s) -
Zaušková Anna,
LukáčováMedvid'ová Mária
Publication year - 2007
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.200700059
Subject(s) - shear thinning , newtonian fluid , non newtonian fluid , generalized newtonian fluid , mechanics , shear stress , flow (mathematics) , geology , physics , mathematics , rheology , shear rate , thermodynamics
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)