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Numerical modelling of shear‐thinning non‐Newtonian flows in compliant vessels
Author(s) -
LukáčováMedviďová M.,
Zaušková A.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1676
Subject(s) - shear thinning , newtonian fluid , generalized newtonian fluid , non newtonian fluid , mechanics , shear stress , flow (mathematics) , mathematics , physics , classical mechanics , rheology , shear rate , thermodynamics
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 hemodynamic wall parameters: the wall shear stress and the oscillatory stress index. Copyright © 2008 John Wiley & Sons, Ltd.